A projectile is launched straight up in the air. Its height​ (in feet) t seconds after launch is given by the function f(t)=−16t2+366t+4. Find its average velocity from 4.8 seconds to 8.9 seconds.

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Q: ■ (a) Find f'(x) if f(x) = 2√x-x√² + √2x−2+²-√2x + √2*

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A: We have to solve Given question.

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Q: C) Convert the equation 5x² + 2y² = 3z to spherical coordinates.

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Q: [3t 3t sin(t) cos(t) dt

A: we will find the required.

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Q: Use the table to evaluate the following limits: -6 -5.1 -5.01 f(x) -5 -500 -50000 -5.001 -5 -5000000…

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Q: True or false: If the absolute maximum value of f(x) on a closed interval is f(a), then it is…

A: Please see the below answer.

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Q: (a) Find the sound level of a motorcycle if its intensity is 10 times the intensity of Io.

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Q: -5-4-3-2-1 + -2- -3 -4 lim f(x) = 2-16 lim f(x) = 2-1+ a Determine the following values. Enter "DNE"…

A: Note : according to our guidelines i can solve only first question please reroute the remaining one.…

Q: Evaluate the integral below, where B is the ball with center the origin and radius 2. J√√6 (x² + y²…

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Q: f(x) = ln (17x) Choose the Maclaurin series. In (1 - 7x) = 00 Σ n=1 In (17x) =- In (1-7x) =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Prove by strong induction that root of 2 is irrational.

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Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve.…

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Q: This question is based on the following table, which shows the number of foreclosures in three…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the distance from the point (5,-6,-8) to the plane x - y - 5z = - 37

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Q: Determine whether or not the given pair of matrices is an inverse pair. 1 14 1 -1 0 0 1 2 0 1 -2 0 1…

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Q: - d the absolute maximum and minimum values of f(x) = x³ − 3x² − 9x + 10 on the interval 41.

A: we will find the required.

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A: Consider the graph of the function

Q: A polynomial f(x) and one or more of its zeros are given. f(x)=9x³-149x²+665x-325 8 +i is a zero

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Q: Calculate the double integral. Sk [[[x sec²(y) dA, R = {(x, /1105x58,0sys X y) y) | ≤ ≤ ≤ R 2}

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Q: Find the mass of the intersection of two rods with constant mass density p that is formed by the…

A: We can solve it as follows

Q: 1 Graph the function by using transformations of the graph of y=. Plot all necessary asymptotes. For…

A: see below the answer and graph

Q: Determine the truth of this statement: There is no difference between absolutely convergent a

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Q: Translate the given system of equations into matrix form. x + y z = 6 9x + y + z = 4 3x Z 4 7 + = 1…

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Q: Use spherical coordinates to integrate f(x, y, z) = 4√√x² + y² + z² over the solid E above the cone…

A: To integrate the function f(x,y,z) over the solid E, we need to set up the triple integral in…

Q: The figure shows the power consumption in San Francisco for a day in September (P is measured in…

A: Here

Q: log 6y (8x - 3)° 0/8+5x

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Q: x(t) Find a plane containing the point (8,-4,8) and the line y(t) = z(t) = = || - 4 - 6t 6+t - 5+ 4t

A: It is given that, The plane contains the point 8,4,-8 and the lines x=-4=6t, y=6+t and z=-5+4t.…

Q: Let f be a function defined as follows: f(x) = 2.3-2 if x 3. if x > 3. x-3 What type of…

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Q: 9, 10, 11, 12, 13, 14, 15 and 18 Find the intervals on which f is increasing or decreasing, and find…

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Q: ) (a) Show using the product rule that [f(x) g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g (x)h(x) +…

A: (a) To show the following by using the product rule. fxgxhx'=f'xgxhx+fxg'xhx+fxgxh'x (b) By using…

Q: Evaluate the integral. (Use C for the constant of integration.) [Car dx (arcsin(x))²

A: Please see the below picture for detailed solution.

Q: Write the equation of the circle centered at (3, −5) with diameter 12.

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Q: Find the volume of the solid that lies between the paraboloid z = x² + y² and the sphere x² + y² +…

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Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 4 is 4x+12y…

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Q: (a) ( Find an equation of the sphere that passes through the point (-3, 3, -2) and centered at the…

A: We have to find the equation of the sphere that passes through the point (-3,3,-2) and centered at…