Stuck on a tricky math problem that you can't seem to work through? Consider the vector field F(x, y, z) = (2 z + y) i + (2 z + x) j + (2 y + 2 x) k. a) Find a function f such that F = nabla f and f(0, 0, 0) = 0. f(x, y, z) = b) Suppose C is any curve from (0, 0,... r(t)=(2 \ln(t^2+1) i+ (\tan^{-1} t) j+8 \sqrt{t^2 + 1} k is the position vector of a particle in space at time t . Twenty more than four times a number is equal to the difference between -71 and three times the number. Read this book using Google Play Books app on your PC, android, iOS devices. Find an equation for the plane consisting of all points that are equidistant from the points (-5, 4, 3) and (1, 6, 7). Find a particular solution to the non-homogeneous differential equation y''-4y'+4y=e^{2x} . An actual ACT Mathematics Test contains 60 questions to be answered in 60 minutes. The questions…, classroom lessons, data analysis lesson, good questions, math discussion questions, math solutions, math teaching, © Determine if the following series converges or diverges. Justify your answer. Find the sum of the series for those value of x. C. The series converges, but is not absolutely convergent. Find the particular solution of the differential equation dy/dx = (x - 3)e^(-2y) satisfying the initial condition y(3) = ln(3). Be sure to show intermediate work and do not simplify your answer. Eliminate the parameter t to determine a Cartesian equation for: x = t^2, y = 8 + 4t. Find f(x). A Whole Class Discussion takes place when the teacher and the students gather together as a class to discuss a problem or issue. b. irrational number. What are the challenges that teachers may foresee in teaching math? 1. (Give your answer in interval notation.). Let f(x) = 7x^2 - 2 to find the following value. (Give your answer using interval notation.). Find the function represented by the following series and find the interval of convergence of the series. 10sin^2(x) = 10 + 5cos(x). Why is multicollinearity considered a "sample-specific" problem? If \gamma(\frac{8}{3}) = a find \gamma(\frac{1}{3}). Sum of ((x - 6)^n)/(factorial of (2n)) from n = 1 to infinity. Free shipping and pickup in store on eligible orders. F(t) = e^(2t*sin 2t). How do I prove the existence of an object in math? Skeptics of online learning argue it’s difficult to replicate their value online -- but Speer isn’t a skeptic. (Justify your answer.) q_0 = 100. w = $20, v =$5. Find the area of the parallelogram with vertices K(1, 3, 3), L(1, 4, 4), M(4, 8, 4), and N(4, 7, 3). Test the following series for convergence or divergence. Find the radius of convergence of the following power series. Find the curvature kappa(t) of the curve r(t) = (-1sin t)i + (-1sin t)j + (-3cos t)k. Find the equation of the tangent line to the curve y = x^3 - 3x + 2 at the point (2, 4) ? Answers to the questions are provided and located at the end of each page. Write the given number in the form a + bi. Determine whether the series sum of (n^n)/(factorial of n) from n = 0 to infinity converges or diverges. Find tangential Acceleration and Normal Acceleration. Match.com discussion, profile tips, and love. This tricky math problem went viral a few years back after it appeared on an entrance exam in Hong Kong… for six-year-olds. Determine whether the series converges absolutely, converges conditionally, or diverges: Sum of ((-1)^(n + 1) factorial of n)/(n^n) from n = 1 to infinity. Solve for the indicated values Find C, a, and b. Simplify: \sin(\frac{7\pi}{6}) + \cos(\frac{3\pi}{2}), Create an account to browse all assets today, Biological and Biomedical A discussion forum where you can get help to solve your homework problems and exercises. One is not a nickel. Find an arc length parametrization of r(t)= \langle e^t\sin(t),e^t\cos(t),6e^t \rangle. A set of data contains 53 observations. Posted by 12 hours … Log In Sign Up. July 28, 2020 no_limit_pictures / iStock. Find an equation for the plane consisting of all points that are equidistant from the points (-6, 2, 3) and (2, 4, 7). What is the difference between a number and 20 more than that number? Solve the following differential equation: y double prime + 4y = sin^3(x). When it comes to facilitating online classroom engagement, discussion boards are a great go-to. Consider the curve r(t) = \langle e^{-5t}\cos(-1t), e^{-5t}\sin(-1t), e^{-5t} \rangle . They were created by Khan Academy math experts and reviewed for curriculum alignment by experts at both Illustrative Mathematics and Khan Academy. Determine is it absolutely convergent, conditionally convergent or divergent. Show all details of your work. Integral of (t^2 multiplied by sin(Bt) multiplied by dt), Find the first four nonzero terms of the given taylor series. I interviewed fifth grade students (other students as well) and asked them how communication helps them learn math (see video clip 1.1 PDToolkit in Whole Class Mathematics Discussions). t*(dy/dt) + 7y = t^3, t greater than 0, y(1) = 0. f(x) = 6x^3 - 18x^2 - 144x + 7, [-3, 5]. by Lainie Schuster and Nancy Canavan Anderson Asking “good” questions—questions that help students make sense of math—lies at the heart of good math teaching. sum_{n=0}^{infinity} (- 1)^n / (2 n + 1)^2. Sum of (3 + 6^n)/(6^n) from n = 1 to infinity. Find the given value. Write 73 million, 5 thousand, 46 in standard form. Find the expansions of (2 x + 1) (2 x - 3) (2 x + 5). B) Evaluate the integral: integral from 0 to (sqrt 3)/5 of dx/(1 + 25x^2). If f(2) = 14, f prime is continuous, and integral from 2 to 5 of f prime (x) dx = 20, find the value of f(5). The amount of paint needed to cover the walls of a bedroom is 133x, where xx is the thickness of the coat of paint. Believe it or not, this "math" question actually requires no math whatsoever. Students, teachers, parents, and everyone can find solutions to their math problems instantly. They either don't know how to approach a problem, where to go next in the problem, or what strategies are appropriate to solve a problem. He would like to determine whether there are more units produced on the night shift than on the day shift. Lively discussions are among the hallmarks of face-to-face courses. For the function g(x, y, z) = e^{-xyz}( x + y + z) , evaluate the following. f(x) = sqrt (x). Integral of (du)/(u*sqrt(5 - u^2)). -0.5 b. Supposedly the students had just 20 seconds to solve the problem! e^(pi + i). The Beverton-Holt model has been used extensively by fisheries. Factor each of the following expression to obtain a product of sums TW + UY' + V, Find the average value of the function on the given interval. Earn Transferable Credit & Get your Degree. Case study Case studies are an ideal way to illuminate the practical consequences of different concepts. ), Find the average rate of change of the function over the given intervals. Discussion by oralloy Posted 08/22/06 6:26 AM. Farmer Brown had ducks and cows. Sum of ((-1)^n)/(6n^5 + 6) from n = 1 to infinity. A firm production function is given by q = f(k,l) = k�l. Find an equation of the set of all points equidistant from the points A(-1, 6, 3) and B(5, 3, -3). Enter guiding questions. Free Online GED ® Sample Tests Try a free sample test in each of the GED subjects. All kinds of mathematics, science question and answers related to all topics can be discussed here. Determine the parametric equation of the line of intersection of the two planes x + y - z + 5 = 0 and 2x + 3y - 4z + 1 = 0. If the series converges, find its sum. A discussion question that is truly great is challenging and inspires students to think critically and respond with well thought out answers. Determine if this series converges conditionally, absolutely or diverges sum_{n=1}^{\infty } frac{(-1)^{(n+1)}}{n+3}. Find the area of the parallelogram with vertices A(-5, 3), B(-3, 6), C(1, 4), and D(-1, 1). Forums: Viz Comic, Maths, Puzzles. -1 c. -2 d. -4, Expand the following expression. You can find ACCUPLACER Arithmetic questions in our free ACCUPLACER study guide. Use the conversation factor (1.0 inch = 2.54 cm) to change these measurements into inches. save. Students will need to be ab... Sam sold 39 loaves of bread in 9 days. In fact, she has to work hard at understanding mathematical concepts. Why study Mathematics online? We’ve got courses across the mathematics spectrum, from courses to get you ready for university study, right through to advanced maths. What is the value of the product (2i)(3i)? The Canadian Adult Achievement Test (CAAT), which was developed by Creative Organizational Design, is a test designed to appraise an adult’s academic level. A comprehensive database of more than 449 math quizzes online, test your knowledge with math quiz questions. Don't panic - Study.com has the solutions to your toughest math homework questions explained step by step. Sum of (ln n^2)/(n) from n = 1 to infinity. Suppose R(t) = (3t^3)i - (2t^2 + 5)j + (4t^3)k. What is the curvature of R(t) if t = 2? Evaluate \int_0^{\pi} \sin^2 mx dx for m an arbitrary integer. you may use a reference such as the internet or encyclopedia. Read each question carefully to make sure you understand the type of answer required. a. 12A + 8B ? os... Find c1 and c2 so that y(x)=c1sinx+c2cosx will satisfy the given conditions 1. y(0)=0, y'(pi/2)=1 2.y(0)=1, y'(pi)=1. The most exciting part may be all the "aha" moments I see with my students when a math concept that puzzled them suddenly become crystal clear in the middle of an explanation. Find the values of the parameter r for which y = e^(rx) is a solution of the equation y double prime + 2*y prime - 3y = 0. D is a point on side CA, and BD has length 18.4 cm. Sum of (x^n)/(n*10^n) from n = 1 to infinity. It only takes a minute to sign up. Find the derivative, second derivative, and curvature at t = 1. ∠CAB = 40^o and ∠BCA = 90^o. One example of a natural concept is a(n) ... a. ion. Determine whether the vector field F(x,y) = (x+5) i +(6y+5) j is path independent (conservative) or not. Find a function f such that F = \nabla f and f(0,0,0) = 0 b. Determine whether the series sum of (2^k)/(k^2) from k = 1 to infinity converges. Find all the values of x such that the series \sum_{n=1}^\infty \frac{(5x-9)^n}{n^2} would converge. Determine if the following series converges or diverges. The producer of a certain commodity determines that to protect profits, the price p should decrease at a rate equal to half the inventory surplus S-D , where S \enspace and \enspace D are r... Find the indefinite integral. Find the radius and interval of convergence of the series sum of (n(x + 2)^n)/(3^(n + 1)) from n = 0 to infinity. Sum of (2n^2 + 3)/(5n^2) from n = 1 to infinity. Solve the initial value problem \displaystyle 12(t + 1) \frac{dy}{dt} - 8y = 32t, for t -1 with y(0) = 9. Learn to reason mathematically. Find the vectors T, N, and B at the indicated point. Don't panic - Study.com has the solutions to your toughest math homework questions explained step by step. Math Games offers online games and printable worksheets to make learning math fun. NOTE: write you... What does a graph showing the growth of forest volume over time looks like 1) A U shape 2) An inverted U shape 3) An S shape 4) A pyramid 5) A straight line Maximizing the profit of timber harves... ! (Your answers should include the variable x when appropriate.). Grade 10 Math made completely easy! You can ask any math question and get expert answers in as little as two hours. integral 1 / {x^2 + 25} dx. Evaluate the integral: integral e^x sqrt(1 + e^(2x)) dx, Evaluate the integral: integral (cos x) sqrt(4 - sin^2 x) dx. Use your calculator wisely. Online calculators to check your answers are provided at the bottom of this page. We hope your visit to math.com brings you a greater love of mathematics, both for its beauty and its power to help solve everyday problems. r(t) = (t^2, (2/3)t^3, t); (4, -16/3, -2). Find the average value of the function f(t) = t*sin(t^2) on the given interval [0, 10]. Answer: 87. Find all the values of x such that the given series would converge. \frac{\tan(x)}{(\cot(x) + \tan(x))} = 1 - \cos^2(x), Verify the following equation is an identity. For what values of c is there a straight line that intersects the curve y = x^4 + cx^3 + 12x^2 - 4x + 9 in four distinct points? Compute kappa(t) when r(t) = (1t^(-1), -4, 6t). Limit as y approaches 1 of (1/y - 1/1)/(y - 1). Find a function f so that F = \bigtriangledown f , and f(0, 0, 0) = 0 . Math. The students who raise their hands to my questions all exhibit some form of math anxiety. What is the average of the function g(x) = [x(ln x)^2]^(-1) over the interval x is element of [e, e^2]? associated with the cost minimizing input choice? a. f(x) = (1+x)^(-2) b. f(x) = e^(-3x), Consider the power series sum of (n + 2)x^n from n = 1 to infinity. Support us to become better via paypal! A) Find the radius of convergence, R. B) What is the interval of convergence? Then, what is the possible coordinate(s) for K? What are some salient examples where systems biology has helped explain a complex process? Determine all values of h and k for which the following system has no solution. Maths Forum. Test the series \sum_{n=1}^{\infty} (-3)^{3n} for convergence or divergence. While leading and listening to mathematical discussions, I am gaining a clearer picture of my students' understanding as well as their misunderstandings. We provide internet TV for watching American Football Playoffs – P – B Weekend on your pc, laptop, iphone, ipad etc. Replies: 279 Views: 15,807 . If it is path independent, find a potential function for it. 3A + 2B ? Use for debates, discussions, speaking, conversations, independent learning and more. And beyond u * sqrt ( 6 + 4x^3 ) questions are provided at the indicated point public and schools... 95 % confidence interval for the effect of years of education on log earnings! Become better via paypal how do you define math anxiety ( with initial point t=0.! Questions within each booklet have been selected so that they meet the current test requirements is truly great challenging. ( y - 1 ) = ( e^t sin t, 1e^t ) a discussion that. State the test is loaded equation x^2y '' + 10xy ' + 8y 0! The animals had a total of 12 heads and 44 feet does psychology Play in systems?. Listed below on math quizzes f = ( 4u^2 + 3v^2 ) e^ ( uv^2 ) time, …... 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