A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the ball at time t. Using t^2 for t2.

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A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

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A: Given

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A: This question is based on Squeeze theorem.

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A: We have to simplify  of the given expression

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Q: Exercises

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Find the area between  F(x) = x^2-5 and the x-axis from x=0 and x=9

A: Given query is to find the area under the curve.

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Q: 3. Find asymptotes, intercepts and graph. 4х -8 f(x) = X +1

A: Solve the following

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Q: Evaluate the limit below. 36 – x2 - 6 lim 5x

A: We have to evaluate the limit                                                limx→036-x2-65x

Q: x2 8. 36 y2 3D1 4 ニ 「て

A: This question can be solved using the concepts of standard equation of hyperbola.

Q: Referring to the graph above, which of the following statements is correct: 1. f″(x) 0 for all x

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Q: A ball is launched straight up in the air from a height of 6 feet. Its velocity (feet/second) t…

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Q: dx Ifz = x + y = -2, dt dy = 3, and z> 0, find dt dz at (x, y) = (4, 0). dt Please give an exact…

A: We know that derivatives power rule is  d(xn)/dx = nxn-1 Here i attached the solution of this…

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Q: This question has three parts. Answer each part correctly to get the next part. We will find a…

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Q: The angle between (0, –6, 2) and (4, 8, 7) is: O A. orthogonal - O B. acute.

A: We will use geometric definition to determine the angle.

Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

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…

Q: Question A vertical cylinder is leaking water at a rate of 5 m²/sec. If the cylinder has a height of…

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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 slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: Complete the table. (Round your answers to four decimal places.) x-4 lim x-4 x2 - 5x + 4 3.9 3.99…

A: We have to estimate the given limit.

Q: The figure below shows the derivative F'.If F(0) = 15,give (x, y)-coordinates of all local maxima…

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Q: On what interval(s) is f(x) concave down? f(x) In(x? + 3) %3D (-0,00) O(-∞,-V3), (V3,00) (-V3, V3)

A: Let's find.

Q: Find the equation of the tangent line at the given point on the curve. 3y - Vx = 23, (16,3) y =

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Q: M3.4 Integration by Partial Fraction Decomposition 6x-7 dx 7.J (2x+1)(4x²+1)

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: x10 14) cos Vt dt )음 COS

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Q: QUESTION 12 Solve the problem. Suppose you wish to prove the statement that follows using…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: We have to find the given trigonometric quantity.

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Q: - The rate of change of the monthly profit for a new company is given by the function P'(t) = 200VE…

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Q: a) How many 3-digit positive integers are there with odd digits?

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Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: Consider the following. u = -6i - 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b)…

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Q: Make a sine wave model of a musical note with a frequency of 340 cycles per second. Use an amplitude…

A: Find your answer below

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Q: The relationship between the number of decibels B and the intensity of a sound I in watts per…

A: a)β=10ln(10)lnI10-16β=10ln(10)lnI10-16β=10ln(10)ln(I)-ln(10)-16β=10ln(I)ln(10)+16ln(10)ln(10)β=10log…

Q: Find the integral of: * |x In(x + 1)dx 1 1 1 * In\x + 1| +x² +x+;In |x + 1| + € 5x² Inlx +…

A: Here we have to do integration by parts.

Q: Consider the equation x^3=1-2x, which has a unique root between x=0 and x=1. Apply Newton's method…

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