If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a positive constant. What is the greatest speed it may be going if it is necessary to be able to stop the car within 25 meters after the brakes are applied?

Q: 21 Which of the following integrals is equal to the integral | s(3x - 5) dx? (A zp (2)/ 7/3 (B) s(:)...

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A: We will integrate first then find F(x).

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A: Topic = Algebra

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A: We have,

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A: To evaluate the integral ,use the following trigonometric formulas.

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A: Let's  find maximum  area a  cow ? can graze  for above problem.

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

A: Use simple velocity, distance, acceleration formula.

Q: sinx Cosx - e sinx +x The integral -dr may be written as mensinx + px + ge* + C. where m, n, p, q, r...

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Q: Consider the following. y = x + 3x2 Find y'. y'(x) = For what value(s) of x does y' = 0? (Enter your...

A: Here is the solution

Q: hich of the following integrals is equal to the integral / f(3x – 5) dx? s(2)dz 7/3 s(2) dz 2. 7/3 s...

A: Rewrite the integral.

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Q: 10* -dx may be written as AlnlsecB* tanB*| C; where A, B, and C are constants not equal to zero. Eva...

A: Solved below

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

A: We will do this question by integrating the given integral and comparing it with the given expressio...

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A: Solved below

Q: b -x" +xP + C. What is the value of the sum a + b+d+m+n+p? a d The general antiderivative of (3x2– 4...

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Q: Find the area of the region bounded by the curve y=1-- and the x-axis.

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Q: Question d79 Find (-9 sin (x)). dx79 Provide your answer below: ( -9 sin(x)) = D 7.79

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Q: If F(X) is an antiderivative of x2 +x', then what is the value of F(1) - F-1)? (А) -2 В) -1 D) з

A: Given: F(x)=∫x-2+x-1dx So, by the Fundamenetal theorem of calculuas: F(1)-F(-1)=∫-11x-2+x-1dx Now, i...

Q: dx Evaluate Зх — 12 A 00 B 00 (c) D) 8

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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. O 21/2 square...

A: Here is the solution

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A: Given,            The slope of the tangent line at any point x,y on a curve is 2x.            The po...

Q: dx Evaluate Зх- 12 A - C) 8. B.

A:   The given integral is ∫14dx3x-12.   Compute the integral ∫dx3x-12 as follows. ∫dx3x-12=∫dx3(x-4)  ...

Q: Question 17 cos2x – sin2x cos2x dx%3D 3 -F(x)+c• What is F(x)? For cosx - sinx O (cscx – secx)3 есх ...

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Q: b --x"+ -x +C. n P a d The general antiderivative of (3x2 – 4) 2x² can be written as -x' m What is t...

A: Firstly we find integration

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Q: dx Evaluate Зх— 12 (A) + 00 B) 0 00 D 4)

A: Let's find. 

Q: Question 7 Which of the following is an improper integral? (А) -dx -4 x2-x - 2 --X In (3e) xe cos (x...

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

Q: Vhich of the following integrals is equal to the integral f(3x - 5) dr?

A: Use simple integration concept.

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Q: S- 10* dx may be written as AlnlsecRx1 tanB*+ C: where A, B, and C are constants not equal to zero. ...

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Q: Question 6 The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) ...

A: Note that, the slope of the curve y=f(x) is given by: dydx Now, given that the slope is 2x. So, dydx...

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* |+ C. Where A, B, and C ar...

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

A: Solution is here

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

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Q: If F (x) is an antiderivative of x-2+x-1, then what is the value of F(1) - F(- 1)? A) 3 B -1 -2

A: Please refer to the image below

Q: cos2x – sin2x cos2x -F(x)+C• What is F(x)? For dx = - 3 cosx – sinx (sinx – cosx) - (cscx – secx) 3 ...

A: Please see the below picture for detailed solution. 

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: d²y =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve fo...

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

Q: Find the exact area of the surface  z = 1 + 2x + 3y + 4y2, 1 ≤ x ≤ 9, 0 ≤ y ≤ 1.

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Q: Which of the following is an improper integral? i In(x*+1) dx A B -4 x2-x- 2

A: follow next step

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: -cos-sino de has the form sin 2 2 -F(0) +C. What should The resulting integral of 4 be the value of ...

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Q: The antiderivative of fx), denoted by F(X), exhibits an odd symmetry i.e., it satisfies the property...

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Q: dx Evaluate Зх — 12 + ∞ + 00 8 1,

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

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