. Write an inline function that returns the value of the function f(t, x) = sin(Vx t) cos²(7x) and also works for vectors. Test your function by plotting it over the region [0, 5] × [0, 5].

Q: Find the directional derivative of f(x, y, z) = xy + z³ at the point P = (3, -4, -3) in the…

A: Use the given information.

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A:

Q: Find the directional derivative of f at the given point in the direction indicated by the given…

A: For the directional derivative first find a unit vector in the direction of θ=π4 then take the the…

Q: Determine the function y = eax + b that best fit the data x =(3, 2, 1, 0)T ,y =(µ, 1, e,1/e)T

A: Consider the given information. y=eax+b And, x,y =(3, 2, 1, 0)T ,(µ, 1, e,1e)T=3210,µ1e1e

Q: State what it means for a scalar function y = f (x) to beintegrable on an interval [a, b].

A: Scalar integrable  function y = f (x)

Q: 6.Consider a function f: R2 R, where f(xy) = cos(xy). Let u = be a unit vector. Use the definition…

A: Here we will use Definition of Directional derivative of f(x , y) in the direction of vector <u1…

Q: Consider the following function. T: R2 - R3, T(x, y) = (2x², 3xy, y²) Find the following images for…

A: Let us consider the given transformation T:V→W then the transformation is said to be linear…

Q: Sketch a contour map of the function. f(x, y) = x² + 7y² y

A: The given function is .To determine the contour map and the sketch of the function.

Q: Find an expression for a unit vector normal, no, to the surface x = (4 – cos (v)) cos (u), y = (4 –…

A: The complete solutions are given below

Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

A:

Q: Find the directional derivative of the function pez(x, y) = cos(2x) In (5y) + sin ¹(3x) (1-²)¹/2 at…

A:

Q: Find and sketch the domain of the function f(x,y) = cosx + V3x-y+2

A: The given function is .The objective is to find the domain of the function and sketch the domain.

Q: nd the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(-1,-1,-3);…

A: We have used definition of the directional derivative.