Determine where, if anywhere, the function f(x)=x3+9x2−48x+2f(x)=x3+9x2−48x+2 is not changing

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Q: x) = || xy" - 9y¹ = x⁹ , x > 0

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Q: Use the Root Test to determine whether a converges, where a is as follows. n n n = 1 = ( ²² + ²)² n…

A: We will apply Root test

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Q: What are the three cases we must consider for finding horizontal/slant asymptotes?

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Q: Q1. If g = xy — yz — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F and…

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Q: d² -sin (2x³) = = dx²

A: d2dx2sin2x5=ddxcos2x5· 10x4=10-10x8sin2x5+4x3cos2x5

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A: let initial point A (-5,8)=(x1,y1) terminal point B(0,2)=(x2,y2)

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Q: Given f(x)=2+3x²-x² i. Find the coordinates of all local extrema. ii. iii. Identify the extrema…

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Q: Let F = (7yz)i + (2xz)j + (1xy)k. Compute the following: A. div(F) = B. curl(F) =i+j+k C.…

A: We know the expression for the divergence of vector point function F→=F1i+F2j+F3k is:…

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Q: Find the derivative of f(x) = 2² +8-2³ + 5z³. 0 (2) - 1/2 +8-235-24 + 152² O f(2)=1/22-²5 2¹ +152²…

A: The given function is; f(x)=x2/4 +8 - 5x5/3 +5x3.

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: Use the functions below to find the given value. f(x) = x 2 8 g(x) = x³ (g¹¹) (-2) = |

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Q: L4Q12. Write an explicit formula for the sequence: - 2, 2, 6, 10, ... A.an = - 2 + 4n B.an = - 6 +…

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Q: Which of the following is not true? A B D None of the given choices E 5 S= dx 25-x² © Selim S dx C…

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Q: Simplify

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Q: Evaluate f x²-x-5 x(x²-x-2) dx

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Q: Question* An equation of the tangent plane to the surface x² + xy +22²-3-0 at the point P, (1,1,1)…

A: Basic differentiation is used along with the stated formula

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Q: Evaluate 112x (2x - y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 6

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Q: Convert the point (x,y,z)=(5,-3,-5) to spherical coordinates. Give answers as positive values,…

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Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…