Please use calculus techniques
Use exact form (fraction) for final answer unless decimal answer is requested.
Show work and be clear.
and Thank you!
Please use calculus techniques Use exact form (fraction) for final answer unless decimal answer is requested....
Make sure you show your work clearly, use calculus, and box your final answer. No work = No credit. You may use a calculator, DESMOS, notes, and book. 1. (8 points) Let y = -x3 + 6x2 - 5 a. Find all critical numbers for f(x). b. Find the absolute extrema on the interval [-1, 3). Clearly label your answers. c. Find the absolute extrema on the interval [1, 3). Clearly label your answers. 2. (6 points) Let y =...
2. (10 points) In prior Calculus courses, we made use of limits to calculate improper integrals of the form of.dr. Use these techniques to calculate 3.r? -dxdx erty S where 2 = {(x,y) Osr< 0,0 Sy < 0o). Use proper limit notation when showing your work (sce 7.7 of Calculus Textbook II on Course Ware for review). Bonus: Calculate over the region 1 = {(x,y) 103 x < 0,0 Sy<00). Again, show all work with proper notation.
I need a detailed answer please 1. You must SHOW ALL YOUR WORK on the test to receive full credit. 2. Print your name and Id# on the top of the first page. 3. Always give the exact answer(s) in the simplest form unless it's specified otherwise. 4. Box your final answers. GOOD LUCK! 1) (11 points) Find all critical numbers of f(x)=x-Vx. (Show all five steps.)
1. Use methods of algebra and calculus to analyze the graph of the function$$ f(x)=\frac{-x^{3}-x+5}{2 x^{3}+3 x^{2}-7} $$Include all the following in your analysis:a) the domainb) interceptsc) equations of asymptotes (both vertical and horizontal)d) relative extrema (be sure to provide all derivatives, identify critical numbers, and show the test for those values - naming the test you are using.)e) intervals where the function is increasing or decreasingf) inflection points (be sure to identify possible inflection points and be sure to...
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) - 101 y = f(x) 2. Consider the functions gtx)=(13)" and h(x) =--() +4 12.5,1.25, 1.5 points) a) The points given below (in the first column) belong to g(x)= - Perform two b) Use the point found in part a) to sketch a graph of y=h(x). Include the horizontal asymptote as a dashed line. Approximate point placement where necessary. transformations (and show how the points...
Please answer 3 and 4 (use the answer to 3 to answer 4) and show all work. 3. Use the definition of a line integral to compute dxdy, where C is the unit circle with counterclockwise orientation. 4. Explain why the computation in problem 3 shows that there is no function (x, y) with continuous first partial derivatives on 4(x,)) (0, 0) witand throu 응G )=릎(z e) onA; înother words, r r dr +亦days notexactonA. Cite specific theorem sfrom$163 A,...
Solve differential equation with initial condition. Final answer in form y=f(x). Please show all steps, thank you!!! dy = xy² + 4x y dx yo) = 2
Please show all work thanks (14) 1. This problem investigates the iterated integral I - Jxdy dz. . a) Compute I. b) Use the axes to the right to sketch the region of integration for I c) Write I as a sum of one or more dz dy integrals. You do not need to compute the result! 4 (10) 2. Find and classify using the Second Derivative Test all critical points of f(x, y)2 Resembling problem 19 in section 14.7...
Calculus III 1) Identify each of the following surfaces: а) z' %3x? - 5у" b) z 4x2-4 y c) z2+3x2-5y = 4 d) z2x23-5y e) у3х* 2) Find and classify all of the critical points for f(x, y)=xy -x2 + y'. 3) Find the maximum and minimum values of f(x,y)=xy over the ellipse х* + 2y %3D1. 4) Let fx, y) x3 -cosy a) Find the first order Taylor polynomial for f(x,y) based at (1,7). b) Find the sccond order...
2. Use the information in the charts to answer the following questions and sketch the graph of the function f(x) a) List all the critical points (both coordinates) and classify them as max, min, or neither b) List all the inflection points - ND + + ND - 0 + S. Sketch the graph of each given function by doing the following (box your answer to each of the questions) 1. Determine the domain of the function. Use limits to...