QUESTION 3 Let f be a function of x and y, and suppose that f(1,0) = 5. Suppose that v/(1,0) = (-3,4) Consider the following statements about vf(1,0). O|V/(1,0)| is the size of the biggest directional derivative of f at the point (1,0)- (i) The vector V/(1,0) is orthogonal to the curve f(x.y) =5 (H) 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. (i) and (ii) are correct. Ob.(1) and (ii) are correct. O.() and (i) are correct. Od. (). (i), 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)-
(1) |Vf(1,0)) is the size of the biggest directional derivative of f at the point (1.0).
(i) The vector Vf(1,0) is orthogonal to the curve f(x,v) = 5
(ii) 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. (i) and (i) are correct.
O b.() and (i) are correct.
O. () and (i) are correct.
O d.(1). (ii), and (i) 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)- (1) |Vf(1,0)) is the size of the biggest directional derivative of f at the point (1.0). (i) The vector Vf(1,0) is orthogonal to the curve f(x,v) = 5 (ii) 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. (i) and (i) are correct. O b.() and (i) are correct. O. () and (i) are correct. O d.(1). (ii), and (i) are all correct.
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