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Question 5 (5 points) You are given a function y = 2x2 + 1. If Ax...
This Question: 1 pt For y = f(x)=2x-1, x= 3, and Ax=2 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c) dy for the given x and Ax values a) Ay = || (Round to four decimal places as needed b) dy = f'(x)dx= ( ) ox Bound to two decimal places as seeded
3. Find the values of dy and Ay for y = 2x2 + x - 3 when x = 2 and Ax=dx=-0.03 Ay = f (x+ Ax) - S (x) and dy = f'(x) dx Go to four decimal places.
01 points Previous Answers OSCALC14.2.068. My Note Find the differential of the function. y ax+x² - 7x + 3 dy - 36x + 2x - 7 Additional Materials 19. - 2 points OSCALC1 4.2.072. My Notes Find the differential. y-Bx2-x+ 9 dy Evaluate for the given x and dx. X-7, dx = 0.1 Additional Materials Book
Problem #4 Solve the initial value problem as follows: dy dy +4+ (4 x +y) Then determine the positive number r such that - -4.04. Round-off the value of this positive number x to FOUR figures and present it below (12 points): your mumerical result for the ae ust be written here) Also, you must provide some intermediate results obtained by you while solving the problem above: 1) The substitution used to solve the differential equation is as follows (mark...
Question 15 1 pt 1 Details -3.2 - 7 Given the function f(x) = - 2x2 + 2x + 11 32 +4 Calculate the following values: <-3 -3<<4 f(4) = f(10) = f(-3) = fl - 9) = f(1) = f(2) = Question 16 1 pt 1 Details Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places. y = 5x + 7, where...
5. [-13 Points) DETAILS TANAPCALC10 8.R.029. Consider the following. Ax,y) - 2x2 + y2 - 12x - 4y + 4 Find the critical points of the function. (If an answer does not exist, enter DNE.) (x, y) = Use the second derivative test to classify the nature of each of these points, if possible. O relative maximum relative minimum saddle point inconclusive no critical point Finally, determine the relative extrema of the function. (If an answer does not exist, enter...
Find dy for the given values of x and Ax. y = 4x? - - 9x; * = - 3 and Ax=0.3 (Round to the nearest tenth as needed.) Enter your answer in the answer box MacBook esc F 90 F a # 1 2 3 $ 4 % 5 6 & 7 Q W IT R T Y A S C L
Problem 1. Consider the harmonic function 2 cos 3x 1xs5 Investigate the validity of the numerical differentiation process by considering two different values for the number of points in the domain: (a) 11, and (b) 101 Plot the exact derivative of function y vs approximate (ie numerically determined) derivative of function y for both cases Qi. What is exact value of " for x=1.6? dx dy for x Q2. What is approximate value of 1.6 when number of points is...
Compute Ay and dy for the given values of x and dx - Ax. (Round your answers to three decimal places.) y - 2x - x2, x-2, Ax - -0.4 Ay - dy - Sketch a diagram showing the line segments with lengths dx, dy, and Ay. у 31 2 23- dy wy sy dy - 1 3 -1 a o -1 2 2 dy dy ay -1
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...