the brakes on a car give the car a constant negative acceleration of 2k m/s2, 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 applie

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 1 Let an = n > 3. nVlnn (a) Show that the sequence {an}3 is decreasing. (b) Without computing any li...

A: If integral value is finite then sequence is convergent otherwise it is divergent. 

Q: A ball is dropped from a height of 64 feet. Its height above the ground (in feet) t seconds later is...

A:

Q: e resulting integral of s sin sin(0) do has the form --F(0)+ mat should be the value of 0 to make F(...

A:

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

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Q: sinx sinx +x +e COSx - e The integral dr may be written as me nsinx + px + ge + C, where m, n, p, q,...

A:

Q: Consider the following function. (a) Find the zeros algebraically. (Enter your answers as a comme-se...

A: For zeroes we put y=0 .

Q: Given the series 8" n=1 ant1 find the ratio an (Express numbers in exact form. Use symbolic notation...

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Q: b --x" +xP +C. What is the value of the sum a d The general antiderivative of ( 3x2– 4) 2x 2 can be ...

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Q: sin-cos-sino de has the form 2 -F(e) +C. What should be the value of e to make F(e): The resulting i...

A: We will find the value of theta. 

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz + x...

A:

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

A:

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

A: Given:   ∫17x-1x2+16 dx

Q: ((2- sec?r) ! sec(3A – x) eIn (ale) secx dx to be integrable using the formula What should be the va...

A:

Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 9 6 square units 4 square u...

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Q: 2. Given the integral dy dx, Sketch the region of integration, reverse the order of integration and ...

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Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis. 9. A 6 square units B) 0 c...

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Q: x-sin x f(x) = x²–1

A: f(x)=xsinxx2-1For Vertical aymptotesEquate denominator to zero⇒x2-1=0⇒(x+1)(x-1)=0⇒x=-1,1 Vertical a...

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: Find the area bounded by the curve y²=4x, the lines x =1 and x=4. 21 (A sq. units 63 B) sq. units 56...

A:

Q: D. Determine how long the ball is in the air.

A: To find S(t) = 0 We solve the equation,using Quadratic equation of form ax2 +bx+c = 0.

Q: cos2x – sin2x cos2x For -dr=-F(x)+C What is F(x)? Cosx - sinx 2 3 2 sinx + -cosx+ cosx + - sin³x 3 3...

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Q: Determine whether z is a functio *+ + 2? = 1 No Yes

A: Solved below

Q: Which of the following is an improper integral? dx 2 2r+8 B -4 x2-x-2 -1 xe Cos (x)dx -2

A:

Q: If F(x) is an antiderivative of x2 + x', then what is the value of F(1) - F(-1)? A) -1 в) з c) o

A: We will find the value. 

Q: cos2x – sin2x cos2x For -dr =-F(x) +C. What is F(x)? dr%3D 3 cosx - sinx

A: We have to find F(x) 

Q: b d +-x" + C. What is the value of the sum a The general antiderivative of (3x2 – 4) 2x2 can be writ...

A: The general antiderivative of (3x2-4)2x2 can be written as (a/m)xm-(b/n)xn+(d/p)xp+C.  Now we have t...

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: 10* -dx may be written as A lnl secR+ tan R+ C, where A, B, and C are constants not equal to zero. E...

A:

Q: general antiderivative of (3x²–4) 2x² can be written as =x' -x" +-xP + C. n P at is the value of the...

A:

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

A:

Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 3D V5а,. a1 = Compute lim an. n→∞

A: ann=1∞ be a convergent sequence such that a1=5 and an+1=5an

Q: d -x" +x° + C. a The general antiderivative of (3x² – 4) 2x² can be written as -x" т п р What is the...

A:

Q: What is the integrable form of sin (0) do? sin cos

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²...

A:

Q: sinx sinx +x The integral COSX - e +e dr may be written as +px+ qe" +C• where m, n, p, q, r, and C a...

A: The given integral,      ∫cosx-esin x+esinx+xesinxdx

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

A: Taking integrate on both side with respect to x. 

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: Which of the following is an improper integral? dx A) 2x+8 2. In3e ® S* (в COSX dx -2 C) 4x² – x - 2...

A:

Q: In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the valu...

A:

Q: Find an equation of the tangent line to the curve at the given point. 3. Y sin xt cos P (0, 3)

A:

Q: a The general antiderivative of ( 3x2– 4) 2x2 can be written as "+ xP. P +C. What is the value of th...

A:

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 ...

A:

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...

A:

Q: Your are driving away from Tulsa. Your distance​ (in miles) away from Tulsa x hours after​ 12:00 n...

A:

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 indefinite integral. (Use C for the constant of integration.) 1 dz 4 (6 – z). + Need Help? ...

A: We know, (i)∫xndx= x(n+1)/(n+1)+C, for any real number n and any constant C.

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) = Vx. The...

A:

Q: Find the indicated derivatives, using the following information: g(3) = 10 g'(3) = – 3 f(3) = 4 %3D ...

A: Given: So,        fg'(3)=f'(3)g(3)+f(3)g'(3)          =(-1)(10)+(4)(-3)          =-10-12          =...