Calculate the directional derivative of the function in the direction of the vector at the given point. (Remember to normalize.) f(x, y, 2) = 2² – ay?, v= (-1,2, 2), P = (5, 4, 9). O -28/3 O 106/9 O 49/17 O -16/3

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Q: Determine the domain of the vector function r() = cos(4t) i + 7in(t - 5) J - 10 Evaluate if the…

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Q: The directional derivative of x,y) - 16/x - 13y at the point (11,8) in the direction of the given…

A: The direction derivative  of f(x,y) in the direction of unit vector, is defined as follows.

Q: YouTrylt 1 Find the derivative of the vector function. r(t) =(t sint, t, 1 cos(2t ) C.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Derivatives of vector-valued functions Differentiate the following function.

A: We have given the function;

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Q: 1 2. Determine the numbers at which the vector-valued function R(t) = t²i+ ln (t-1)j + 1 ) ³ + + = =…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: Directional derivative of f(x,y) at any point P in the direction of vector v is, =(∇f)P.(unit vector…

Q: Why is r(t) = (f(t),g(t).h(t)) called a vector-valued function? %3D

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Q: For the vector valued function below, 1. Find the domain of each component. 2. Find the domain for…

A: Please see the below answer.