Evaluate the integral. (Use C for the constant of integration.) | 8 sin (x) cos°(x) dx

Q: y =, x = 1, x = 4, and y = 0 is revolved about the y – axis.

A: Let's find.

Q: Find the area of the plane region bounded by the given curves: y= x^3, y= x + 6, and 2y+2 = 0

A: Explanation of the answer is as follows

Q: Si cos3x cos4x dx 2 TT 6

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Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

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Q: 6. ( alv.y s. Match each of the following formulas with the given graphs. Justify your answers as…

A: We have to match functions with the graph

Q: An investment of $8,000 earns interest at an annual rate of 6.5% compounded continuously. Complete…

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Q: V. Let z be a function of r and y, and tan y2 + x2 = z*ey. Solve for dz dz and

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Q: vertical asymptote z=0 S'(z) > 0 for z -3, (z # 0) f"(z) 0 for z > 0

A: Let's find.

Q: Find the area bounded by x = sqrt y and y = 2x. You may use horizontal or vertical strips. Also,…

A: Area

Q: 6x? + Sx t 16 dx +2x +6 x + 3? a.Sinlat3l+; 4 Cが)返が)+c er none

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Q: Mary, Martha and Lazarus lives in the same house. It takes Mary 2 h to clean the house alone. Martha…

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Q: Find the volume generated by revolvingg the area bounded by the given curve and awd lines y = x', x…

A: Volume generated by revolving the area bounded by curve  y=x3  and line x=0  and y=8 (that is 8=x3…

Q: I. True or False: Write True if the statement is always correct, otherwise write False. 1. All…

A: Topic:- function  Note:- as per our guideline if more than three subparts posted than only first…

Q: 1 (s +1)(s² + 1) - cos t + sint) + cost – sin t) Option 1 Option 4

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

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Q: For the function f (x) = x4 - 4x3 + 5, find the local and absolute extrema and any points of…

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Q: Show

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: (t – 1)* 24 24 12 1 24 24 12 1 83 83 Option 1 Option 2 24 – 24s – 12s² + 4s³ + sª 24 – 24s + 12s² –…

A: The given function is: ft=t-14   Use the Laplace transform identity. Ltn=n!sn+1

Q: dx Vx²-4x-7 7. dy y2-8y+5

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Q: aw I. Find ax aw and and ду aw (whenever possible) for the following functions. az x4 3) w = 5x?…

A: In given problem we have to find out partial derivatives of given function w (x,y,z) .  To find…

Q: Find the function h given h'(x) = ÷- + 2; h(1) = 0 3x x2+1

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Q: Given the points A(-2, 3, 1), B(0, 0, 2), and C(-1, 5, -2) Express the vector v = (3,2,7) as a sum…

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Q: S 23x26 + 35 + x2-16 dx x-4

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Q: Evaluate the following integrals using Trigonometric Substitution: 1. X-1- 16x dx

A: integration using substitution

Q: The average value of f(x, y) over the rectangle R = {(x,y)| a<x< b, c <y <d} is 1 fave (b – a)(d –…

A: The given expression is: fave=1b-ad-c∫∫Rfx,ydA And fx,y=xy2x2+1 and R=x,y|0≤x≤1, -3≤y≤3 So, a=0,b=1…

Q: Let F(x) = (f(x))² + (f'(x))², F(0) = 6, where f(x) is a thrice differentiable function such that…

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Q: x = -2t x - 3 1 – y Given: line l1 : 4 = % – 8 and l2 2 y = 2+ 2t - % = 6 + 2t 1. If the given lines…

A: We have to find angle between the lines L1 &amp; L2

Q: 3. Find the parametric equation of the line passing through the point (-1,0,3) and in the direction…

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Q: 3. Evaluate the integral / Vr+3 (x- 1 4 4 (a) 극(z +3)72-(r + 3)52 + 국(2 +3)%2 +C 1 4 (b) (r + 3)"…

A: This question is related to Indefinite integration, we will solve it using given information.

Q: EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the…

A: Since you have posted multiple questions with multiparts. As per guidelines we"ll solve only first…

Q: S 3p? tan p dp

A: To integrate.

Q: 3. Find the curvature K of the space curve r(t) = (cos³ t)i + (sin³ t)j. (Note: Since you aren't…

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Q: Evaluate sin (44o) + cos (29o) using differentials. Refer to special triangles.

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Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

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Q: derivatives power series

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Q: dx 2. S Vx2-4x-7

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Q: 2* lim x→0 x²

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Q: ) Eliminate the arbitrary umstants of y= C, + C2 e ** + C3 e 3x

A: The given equation is y=c1+c2e2x+c3e-3x. We have to eliminate arbitrary constants c1, c2, c3. Since…

Q: Consider the curves x = 12y? and x + 6y = 18. a) Determine their points of intersection (x1, Y1) and…

A: Given :   x=12y2 x+6y=18

Q: m³ +4m 3. S (1–m*)ž

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Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y) Answer the…

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Q: NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS  2. (D^2+D-2)y=2x-40cos2x Please answer this…

A: Here, the given DE is: (D2+D-2)y=2x-40cos 2x Now, to find the yh. The auxiliary equation of the…

Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Note: There are multiple questions. Few questions has multiple subparts.No specific question has…

Q: For numbers 9-11: Given a circle passing through the point (5,9) with radius equal to 4. 9. Where is…

A: Explanation of the answer is as follows

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

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Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

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Q: 6s – 4 s2 – 4s + 20

A: 6s-4s2-4s+20=6s-4s2-4s+4+16=6s-12+8s-22+16=6(s-2)+8s-22+16=6·(s-2)s-22+(4)2+8·1s-22+16

Q: Use a calculator to find the approximate value of the expression. Round the answer to two decimal…

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Q: Integrate 7 dx , 1+ Vx+1 3

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