(1 point) Let f(x) = (2x – 10)*(x² – 3)". 10)*(z? – 3)'. Find f'(x). f'(x)...
(1 point) Let F = xi+ (x + y) 3+ (x – y+z) k. Let the line l be x = 4t – 3, y = — (5 + 4t), z = 2 + 4t. = (20, Yo, zo) where F is parallel to l. (a) Find a point P P= Find a point Q = (x1, Yı, z1) at which F and I are perpendicular. Q - Give an equation for the set of all points at which F...
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(1 point) Let f(x,y,z) = 4x2 + xy + yz +5z?. Find the linearization L(x, y, z) of f(x,y,z) at the point (-1, -3, -1). L(x,y,z) = -5x-2y+72-3 Find an upper bound for the magnitude El of the error in the approximation f(x, y, z) ~ L(x, y, z) over the box |x +11 30.04, \y +31 < 0.04, 12 +11 30.04. E 3 (1 point) Let f(x, y) = 3 In(x) +2 In(y). Find the linearization L(av)...
Let f(x)=2x² – 7 and let g(x) = 4x + 1. Find the given value. f(g(-3)] f(g(-3)) = (Type an integer or a decimal) Question Viewer
2) Let f(x) = 3x2 - 2x +1. a. Find the average rate of change from x = 1 to x = 3 b. Find the equation of the secant line containing the points (1.f (1)) and (3,f(3)) c. Find the derivative of the function at the point x = 3 and determine the equation of the tangent line at that point.
(1 point) Let [ f(x) dx = 10, f(x) dx = 7, flade = 5. Find f(x) dx = -2 and / * 1054 L. *105(z) – 7 da
10. Let f(x) = 2x-2. Find F"(x). Then and F'(x) on the same axes. (3pts) graph both f(x)
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2. Let f(x,y,z 3x2 + 4y2 +5z2- xy - xz - 2zy +2x -3y +5z. Apply 20 steps of Euler's method with a step size of h 0.1 to the system x'(t) y(t)Vf(x(t), y(t), z(t)) z'(t) (x(0), y(0), z(0)) = (-0.505-08) to approximate a point where the minimum of f occurs. Give the value of x (2) (which is the x coordinate of the approximate point where the minimum occurs). Note: This process is called the modified...
x2 + 2x – 15 Let f(x) #3 X - 3 if x = 3 Find the value of k which makes f continuous at x = 3. k3 1 Select one: O a.3 O b.8 Oc. 2 O d. 79 O e.O Å
(c) Let F be the vector field on R given by F(x, y, z) = (2x +3y, z, 3y + z). (i) Calculate the divergence of F and the curl of F (ii) Let V be the region in IR enclosed by the plane I +2y +z S denote the closed surface that is the boundary of this region V. Sketch a picture of V and S. Then, using the Divergence Theorem, or otherwise, calculate 3 and the XY, YZ...
3. Divergence Find the divergence of: a) F(x,y,z)=(-2y x b) F(x, y, z) = (y2– 2x 5x’y x+32] c) i = [3y – 2yx xy2 +6z²x]