Use the contour diagram of f to decide if the specified directional derivative is positive, negative, orapproximately zero.?1. At the point (-2, 2) in the direction of i,2.4v 2. At the point (1,0) in the direction of –i,1.60.8v 3. At the point (–1, 1) in the direction of (-i + j)//2,아?4. At the point (0, 2) in the direction of j,0.85. At the point (0, –2) in the direction of (i – 2j)//5,-1.64.08.0v 6. At the point (-1,1) in the direction of (-i – j)/V2,-2.42.4-1.6-0.80.81.62.4(Click graph to enlarge)12.010.012.010.06.010.012.010.012.0>

Answered: Image /qna-images/answer/dbbd4c2e-290b-4c05-a769-af7c061841b7.jpg

Answered: v 1. At the point (-2, 2) in the…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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Determine whether each of the following statements is true or false, and explain why. The derivative of a product is the product of the derivatives.
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Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. ? ✓1. At the point (1, 0) in the direction of -3. ✓ 2. At the point (0, -2) in the direction of (2-23)/√5, ✓3. At the point (0, 2) in the direction of 3, 4. At the point (-1, 1) in the direction of (-7+3)/√2, ? ? ? ? ? V 5. At the point (-1, 1) in the direction of (-7-3)/√2, ✓6. At the point (-2, 2) In the direction of 7, V > 2.4 1.6 0.8 0 0.8 -1.6- -2.4 12.0 12,0 10.0 10.0 -2.4 6.0 -1.6 -0.8 0 X 0.8 4.0 (Click graph to enlarge) 1.6 12.0 10.0 8.0 10.0 12.0 2.4
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ry. The directional derivative of f )in the directional (6, 2 and at the point (2, y) - (6,- 4) is Question Help: OVideo Submit Question
A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of its flight. When x = 2, the duck takes a hit and thereafter its flight follows the trajectory of a tangent line. What is the coordinate when x=4.
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Consider the curve described by the relation y*+ eV= 17 - x*. Find an equation of the tangent line to the curve at the point (-2,0). There is no tangent line to the curve at the point (- 2,0). O a. O b. X= 2 y = - 32(x + 2) O C. Od. V= 32x -64 y = 32(x + 2) Oe.
Find the derivative of the function f(x,y) = x+ xy + y at the point (5,6) in the direction in which the function decreases most rapidly. O A. - 545 O B. - 461 O C. -3/62 O D. -V455 Click to select your answer. a 61) arch

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