MATH 0220 Midterm: Math 0220 homework5-268

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turquoisegnu128

31 Jan 2019

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Other than the sketch of a graph, do your work on another sheet and write in your answers on this sheet. Staple all work to this page when handing this assignment in: determine the derivative of the given function f (x) = ln (x2 + x + 3) g(x) = 4 1 + 2x3 h(x) = 4 2 sin (3x) q(x) = arctan (7x2) y = As it passes through (2, 3 5), the x-coordinate of its velocity is 20m/s. 4. (a) a television camera is positioned 400 ft from the base of a rocket launching pad. 5. (a) determine the exact value(s) of the critical point(s) of the function y = 2x3 + 3x2. 36x + 10. (b) determine the point(s) of in ection of the function given. (c) sketch the function f (x), labeling these points found and the y-intercept.

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Answer 1-44 with steps and explanations.

Help with 34,28,40 please (all parts )

1. (45 marks) Short-Answer Questions. Put your answer in the box provided but show your work also. Each question is worth 3 marks, but not all questions are of equal difficulty. Full marks will be given for correct answers placed in the box, but at most 1 mark will be given for incorrect answer. Unless otherwise stated, it is not necessary to simplify your answers in this question. a) Find the equation of the tangent plane to the graph of the function z = f(x,y) = sell at (0,1). Answer b) Evaluate (T, 0) if f(x,y) = sin(ry). Answer c) Graph of a function z = f(x,y) is given by: Which of the following level curves correspondes to this function. Answer d) If f(x,y) = e(3x – 2y), find lim - Math)-f(x,y) e) Find % if f(x, y) = x2 - y3 and 2 = r sin(t), y = r cos(t). Answer f) Evaluate the directional derivative of f(x, y) = !at (1, -1) in the direction of u =(2, 1). Answer 8) Does Simono converge? h) Sketch the direction field of the differential equation = 1-2y. i) Consider the differential equation ay = 15 - 31, y(0) = 0, and use Euler's method with step size 0.1 to estimate y(0.1). Answer j) Knowing that (-3,-3) is a critical point of f(x,y) = 2:3 + y2 – 4.cy -3.0, use the second derivative test to find out whether it is a local minimum, local maximum, or a saddle point. Answer k) Solve the initial value problem, dy dt 642 2y + cos(u) y(1) = . Answer 1) Is ū=(2,2, -1) perpendicular to v = (5,-4, 2)? Answer m) Find the area between the graph of y = 1 + sin(x) and y=1-sin(x) from 0 to 7. Answer n) Determine the lentgh of the curve y = 8/2,0 SIS 3. Evaluate and simplify your answer. Answer o) Express the volume of the solid obtained by rotating the bounded region that lies between curves y = (x-2)2 and y=1,150 $4 about the vertical line 2 = 5. Do not evaluate this integral. Answer

MATH 0220 Midterm: Math 0220 homework5-268

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