Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fps, how long will it take the stone to pass the top of the house on its way down? A 5 secs. 4 secs. 7 secs. D 6 secs.

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A: We will do this question by checking the conditions for the given options.

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A: ∫05 x9-xdx  

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A: Please see the answer below.

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A: Given query is to find the percentage of students passed the test.

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A: Given; dr/dt =1, dh/dt=-1,r=5meters,h=8meters.

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Q: Use the Integral Test to determine if the serie 1 Σ (n+ 2)°/¾ n=1 converges or diverges.

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Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: 6) pind ful indefinite integrel. 4 sec (2x) de

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A: Note:- These are multiple questions and according to our company guideline we can do maximum 1 quest...

Q: 5. y = xArctanx - In V1+x

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Q: In Exercises 21-24, an implicitly defined function of x, y and z is given along with a point P that ...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect...

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A: limx→ 0+x2ln5x using L'Hopital rule

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A: We have to choose the correct option according to the given information

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Q: Given cost and price (demand) functions C(g) = 120g + 44,000 and p(g) = - 2.1g + 890, what price max...

A: Given query is to find the price for maximum revenue.

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Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 = V5 a,n. Compute lim an.

A: The sequence an is convergenta1=5 and an+1=5 an

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Q: Replace ? with an expression that will make the equation valid. d. x* +5 = ex +5? dx The missing exp...

A: Consider the expression  ddxex4+5=ex4+5   _

Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: Match the equation with its graph. y = x- x 2.5 15 0.5

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Q: Evaluate the given integrals. Seš (6 – e) dx -1 3. es (6

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Q: pom ais Question dty Find of y = 6 cos (x). dx 54 Provide your answer below: -口 dx * Previous Aa

A: topic - derivative of trigonometric functions

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A: Topic = Derivative

Q: Use logarithmic differentiation to find the derivative of the function. V9 + 7x² y = 3 x2 + 1

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

Q: To evaluate the integral 1 dx x2 – 16 2х — we use the partial fraction decomposition of the integran...

A: Explained below

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

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Q: A house was valued at $105,000 in the year 1992. The value appreciated to $175,000 by the year 2006....

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Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is w...

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 3, s(0) = 2...

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Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

A: Given query is to find the weight at given height.

Q: 12.-/1 pointsLarPreCalcRMRP72.3.028.MI. Use synthetic division to divide. (6x + 3x + 8) + (x+2) to

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Q: Evaluate the following integrals. If the integral is not convergent, answer "divergent." 99 1 350 x ...

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Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=13q+500​, find the maximum profit that ca...

A: Profit is given by P(q) = R(q)-C(q)Given R(q) = 80q-0.2q2C(q) = 13q+500P(q) = 80q-0.2q2-13q-500P(q) ...

Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

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Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

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