Let u(t) = 2t³1+ (t²-1)J-8k. Compute the derivative of the following function. (+¹2 +4t) u(t) Select the correct choice below and fill in the answer box(es) to complete your choice. )i + ( )j + (k. OA. The derivative is the vector-valued function OB. The derivative is the scalar function

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A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

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Q: Evaluate the expression. If the answer is not an​ integer, round to four decimal places.   25 C3/53…

A: Given question:- Evaluate the expression. If the answer is not an​ integer, round to four decimal…

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A: Please see the below picture for detailed solution.

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A: Please see the below picture for detailed solution.

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A: We can solve this as follows:

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Q: Find the indefinite integral. (Use C for the constant of integration.) (-8x7) dx |

A: Let A=∫e^-X^8(-8X^7)dX        →  ∫X^n=X^(n+1)n+1

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Q: Graph the function and determine the number of extrema for the polynomial f (x) = 7x² +3-10x.…

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Q: At what nominal rate compounded continuously must money be invested to double in 2 years?

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Q: Find the general solution and particular solution of y''=6x, y'(0)=2, y(0)=1

A: We will use method of separation of variables.

Q: 3. Given h(x) = 3 ln(1 + x²) + 8 arctan(x), find all x where h"(x) = 0.

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A: Topic = Vector

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Q: 14x - 42 x² + x - 12 1. Write the function in completely factored form: Consider the function f(x) =…

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A: Let's solve given diffential equation.

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Q: Suppose that y varies inversely with x, and y=6 when x=3. Write an inverse variation equation that…

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Q: Graph the solution to the following inequality on the number line. x2>-4x

A: Topic =Inequality

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Q: An unknown radioactive element decays into non-radioactive substances. In 480 days the radioactivity…

A: The decay formula: Nt=N0e-λtwhere Nt=Amount of substance left after 't' days            N0=Intial…

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Q: ASK YOUR TEACH The sum of the perimeters of an equilateral triangle and a square is 17. Find the…

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Q: Given f(x) = 3√x + 2, find f'(x) using the Limit Definition of the Derivative. Doing this question…

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Q: 4 Calculate the relative error when *(x² + 7x) dx is found using the trapezoidal rule with 4…

A: The given integral is ∫04 (x2+7x)dx

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Q: Consider the function f(x) = = Based on parts b through e, f(x) has a maximum of y = when x = when x…

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Q: places.) p= f(x) = -0.1x²-x+ 40 (a) Find the average rate of change in the unit price of a tent if…

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Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ = 0.5, x₂ = 1.5…

A: We have to find the solution.

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A: see below the answers

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Q: Operations on Functions Using Tables of Values Use the graphs for f(x) and g(x) to evaluate the…

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim X-3 3-X…

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Q: Question Determine the absolute error when using the trapezoidal rule to find (2x³+4x) dx using 4…

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