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

Q: S- 10 dx may be written as Aln secB*+ tanB*|+ C, where A, B, and C are constants cos10* not equal to...

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Q: a b. d The general antiderivative of (3x2-4)2x2 can be written as +, xP+C. What is the value of the ...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/r. If the point (9, 3) is on the c...

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Q: 26. Find the absolute maximum value for the function f(x) = x2 - 3, a on the interval [-4, 0) U (0, ...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2,/x- If the point (9, 3) is on the ...

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Q: Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D ...

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Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

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Q: Find the area of the region bounded by the curve y2–4r and the lines x = 1 and x = 4. 24 square unit...

A: area of the region can be obtained by definite integral of the function within given limits. here we...

Q: sinx sinx +x Cosx- e +e The integral -dx may be written as me"sinx +px+qe^ +C, where m, n, p, q, r, ...

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Q: Let n be an integer and let a, b, x be real numbers. Evaluate | |cos(27n)|dx

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Q: The number of hits on a certain website (in thousands) is approximated by f(x) = 70 e 0.1769x where ...

A: The number of hits on a certain website is f(x)=70 e0.1769 x, where x=0 corresponds to 2000.

Q: Which of the following is an improper integral? -4 x2 – x - 2 dx 2 2x + 8 | In(1+x*)dx -1 ~ In (3e )...

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Q: Question 10 If the brakes on a car can give the car a constant negative acceleration of 2k m/62 , wh...

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Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: Express the limit as an integral. (7(x;)? - 2(x;)³Ax over [0, 4] lim i = 1 dx

A: This question can be solved using the limit definition of integration.

Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the cur...

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Q: dx Evaluate 3x-12 A 0. B 8.

A: Solution is here

Q: find lim f (x), if it exists. 1– cos z 59. ƒ (æ) = Answer + sin z 60. ƒ (x) = e" – 1 61. ƒ (z) = %3D...

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Q: Which of the following is an improper integral? A) In(1+x*)dx -dx -4 x² – x – 2 В dx C 2x + 8 C In(3...

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Q: Find the area of the region bounded by the curve y2=4xr and the lines x = 1 and x = 4. 24 square uni...

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Q: V. Evaluate the following using the chain rule and implicit differentiation. 1. h(x) = (2x + 1)5(3x ...

A: All the parts have been solved in detail

Q: Question 9 e* What is the integrable form of dx? (A @ /(1-u²) 12 du [(u?-1) -12 du 1/2 du (D 2- 1) 1...

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Q: The resulting integral of sin-cos-sine de has the form --F(0)+C. What should be the value of e to ma...

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Q: sinx sinx +x Cosx - e +e The integral / dx may be written as me' ,nsinx + рx + qe^ + C, e sinx where...

A: Given query is to find the integral and value of constants.

Q: Find the area of the region bounded by the curve y=1– x2 and the x-axis. - 4 square units 6 square u...

A: Solved below

Q: I4)= te (t-1) Find the lapiare transform using the de finiton/ integration metnod.

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Q: Find the limit using L' Hopital Rule. L'Hopital Rule. lim x? In (5x)

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

Q: Suppose that P dollars in principal is invested for t years at the given interest rates with continu...

A: Solution is here

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1) ...

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

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (-3,3) 5t...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A: Given:   ∫17x-1x2+16 dx

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

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Q: Find relative extrema for f(x,y)=x^3 - 6xy + 8y^(3) - 2.

A: Question- Find relative extrema for  f(x,y)=x^3 - 6xy + 8y^(3) - 2. 

Q: a) Find the length of the curve y(x) = x3/2/3- a/2, 3< x < 4. b) Find the area of the surface obtain...

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Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

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

Q: sinx+X cosx - esa+e The integral dr may be written as mensinxi pr+ gerx 1 C, where m, n, p, q, r, an...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 56/3 square ...

A: Put y= 2(x)^3/2.

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

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function a(t)&g...

Q: The slope of the tangent line at any point (x. y) on a curve is 2x. If the point (9, 3) is on the cu...

A: the slope of the curve is the derivative of the function at that point.' here we have to form a sepa...

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a p...

A: Here is the solution

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: 3 cos(x)³ dx

A: We need to evaluate integral.

Q: Question 16 Find the area of the region bounded by the curve y2-4x and the lines x = 1 and x = 4. (A...

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Q: sinx sinx +x +e -dr may be written as me"sinx + px + qe™ + C. where m, n, sinx p+q+r.

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

Q: dx 1. S- x Vx2 -9

A: According to the guidelines in case of multiple questions, We are only supposed to solve first quest...

Q: Find the indefinite integral. (Use C for the constant of integration.) - 64 dt Need Help? Read It

A: Given query is to find the value of the integral.

Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to se...

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Q: 1. Integrate using partial fraction decomposition. x2-2x a) S dx (x+3)(x-2)² b) S 2x+1 dx x3+x

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Q: The general antiderivative of ( 3x2 - 4) +C. What is the value of the sum a +b+d+m +n+p? can be writ...

A: Given query is to find the value of the integral.

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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