Let be a function of x and y, and suppose that f(1,0) = 5. Suppose that (1,0) = <-3,4) Conasider the following statements about V/(1,0)- |V/(1,0)| is the size of the biggest directional derivative of / at the point (1,0) () The vector V/(1,0) is orthogonal to the curve f(x,y) = 5 (H) At (1,0), / changes most rapidly in the direction of the unit vector (1,0) Which of the above statements is correct? O a (i) and (i) are correct. Ob. () and (i) are correct. O.() and (i) are correct. Od (). (1), and (i) are all correct.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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QUESTION 3
Let f be a function of x and y, and suppose that f(1.0) = 5. Suppose that vf(1.0) = (-3,4> Consider the following statements about Vf(1.0)
0 |V/(1,0)| is the size of the biggest directional derivative of / at the point (1.0)
(H) The vector Vf(1,0) is orthogonal to the curve f(x.v) - 5
(i) At (1,0), f changes most rapidly in the direction of the unit vector (1.0)
Which of the above statements is correct?
O a. (ii) and (i) are correct.
O b. (1) and (i) are correct.
OC.() and (i) are correct.
O d. (). (i), and (ii) are all correct.
Transcribed Image Text:QUESTION 3 Let f be a function of x and y, and suppose that f(1.0) = 5. Suppose that vf(1.0) = (-3,4> Consider the following statements about Vf(1.0) 0 |V/(1,0)| is the size of the biggest directional derivative of / at the point (1.0) (H) The vector Vf(1,0) is orthogonal to the curve f(x.v) - 5 (i) At (1,0), f changes most rapidly in the direction of the unit vector (1.0) Which of the above statements is correct? O a. (ii) and (i) are correct. O b. (1) and (i) are correct. OC.() and (i) are correct. O d. (). (i), and (ii) are all correct.
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