y = f(x) A) -5 B) 5 C) 3 D) -3

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (14, 0) Vg(14, 0) = %3D

A: gradient g(x,y)=(dg/dx)2+(dg/dy)2 dg/dx = 12ey/x + 12xey/xylnx dg/dy = 12ey/x (dg/dx)(14,0) = 12 +…

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A:

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Q: Find the gradient of the function at the given point. g(x, y) = 20xeY/x, (9, 0) %3D Vg(9, 0) =

A: We can find the gradient as below.

Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) 3 x2 + y2 + z2 (7,…

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Q: Find all the rational zeros of the function f(x) = 2x - 9x4 + 9x³ - 3x² + 7x + 6. -1, 2 x = 을 3,2 x…

A: Roots satisfyf(x)=0f(x)=2x5-9x4+9x3-3x2+7x+6f(-1)=-24f(1)=12Options, A and E ruled…

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A:

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A: Use the formula for the conversion of the coordinate system.

Q: 5. Use L'Hospital's rule to compute the following limits (a) lim a In(x) (b) lim sin(z) (c) lim…

A: Here are the solutions: We will use L'Hospital rule and differentiate the numerator and denominator…

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A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

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Q: Evaluate | sin(In t) dt. t sin(In t) – t cos (In t) -t sin(In t) – t cos (In t) . . 2 2 O Option 1…

A: Substitute u=ln(t) ⟶ du/dt=1/t dt = tdu t = eu ∫ eusinudu we use integration by parts ∫fg′=fg−∫f′g f…

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A: The solution is given below.

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Q: Evaluate the limit below. 28 – 4x + 7x2 lim -9x² – 4 - 4

A: LetL=limx→∞ 28-4x+7x2-9x2-4Divide N and D by x2L=limx→∞ 28x2-4xx2+7x2x2-9x2x2-4x2L=limx→∞…

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A: Given

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A: Find your answer below

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find all…

A:

Q: 1. In the following exercises, evaluate each definite integral using the Fundamental Theorem of…

A: a) ∫-12x2-3xdx=x33-3x22-12=233-3(2)22-(-1)33-3(-1)22=83-6+13+32=-32∫-12(x2-3x)dx=-32b)…

Q: 4. How many fixed points does the function T(x) = tan(x) have? %3D

A: for fixed point f(x) = x x = tan(x)

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Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) =

A: Topic = Functions

Q: Consider the following. u = -9i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k…

A: The given vectors,u=-9i-2j-4k, v=4j+4k

Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: (0 if –2…

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A: Ode

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