`y³e-2¥ dy

Q: S sin æsin4xdx

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the exact arc length of the curve over the stated interval. y = 3x/2 - 2, from x = 0 to x = 1 %...

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Q: 14 18 14) In Problems 12 through W, given f(x) and g(x ) are differentiable and continuous everywher...

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Q: A force of 3 N will stretch a rubber band 2 cm (0.02 m). Assuming that Hooke's law applies, how far ...

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Q: For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts.

A: Given: For every 100 ticket buyers at a concert, The band expects to sell 27 T-shirts.

Q: A rumor begins to spread in a population of 10,000 inhabitants thanks to the fact that a member of t...

A: The number of inhabitants in a  village =10000initial time, t=0 weekPopulation who heard the rumor a...

Q: Analyze and sketch a graph of the function over the given interval. Label any intercepts, relative e...

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Q: リ=x; sin(t3) dt

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Solve X1- 19 -4 11 -8 X1 -5 3 15 15 14 X2 10 19 -9 6 9 -9 X3 -10 18 -3 17 8 X4 18 20 6 15 X5 14 9,

A: Solution: Reduce matrix to row echelon form  19-411-802-531515141019-969-9-1018-3317818209661514

Q: Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4 ...

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Q: 5x2 + 1 dx2

A: In this question, we need to find the solution of this given differential equation.

Q: The integral expression: | Ocos20 d0 can be evaluated by parts of the form: udv vdu . =uv – The prod...

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Q: Find the volume generated by revolving the area bounded by x? + 4x + 4y + 8 = 0 and y = -2 about the...

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Q: Given two planes: 3x + 9y-4z = 0 and x + y- 5z = 8, determine the value of the angle between these t...

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Q: Consider the following. f(x) = x3 - 27x + 4 (a) Find the intervals on which f is increasing or decre...

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Q: Use differentials to approximate v25.5 .

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Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

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Q: dx 4 (2x+1)1 01

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Q: If f (x) =2r3+6x- 2, then what is f'(1)? %3D

A: We know that; The Sum/difference rule; f±g'=f'±g' The Power law; ddxxn=nxn-1 And c·f'=c·f' ; where c...

Q: Question 10 xdx Evaluate the integral : 6x²–1 (A A 121n|6x²– 1|+C B - 121n|6x²- 1|+C D 12

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Q: . A rectangular box of height h with square base of side b has volume V= 4m³. Two of the side faces ...

A: Given:   Data is given

Q: Column A 1. xy = 2 _2. 3x?y – x = 5 _3. 3y(y – 10) + 24x = 0

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Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) + ...

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Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D

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Q: Solve the following incqualities -21 < 4

A: To Solve : Inequality : 1x-2&lt;4

Q: Evaluate: ,(3y6 + 8y* – 9y²)dy 2

A: Given:    ∫-22 3y6+8y4-9y2dy

Q: Evaluate: sin ycos³ydy. A none of the given choices sin'y sinsy +C B sinty siny -+C sin'y sin3y +C 8...

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Q: Class Interval f 39 – 42 4 35 – 38 6. 31 – 34 12 27 – 30 23 – 26 4 19 – 22 9 A 12.5% B 11.11% 5% D 4...

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Q: A closed right circular cylindrical tank made of s inch thick metal has an outer radius of 2 ft and ...

A: solution:-(1)outer radius, r=2 ftheight, h=6 ftouter surface area of cylinder= 2πrh+2πr2            ...

Q: Tell if the following infinite series converges or diverges n=1 |cos(nn) Vn+1 Answer: It is divergen...

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Q: the integral expression on the left to an equal expression on the right. (cos(x)-cos(7x))dx ots Subm...

A: We will solve the integral. 

Q: 2 cos 20 sin? 0 + 2 cos 0 cos 20 sin 0 + cos 20 cos? 0 d0 (use trigonometric integrals)

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Q: The vectors (-1, 2, – 1) and (2, –4, 2) are parallel and not orthogonal. True False

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Q: The number of bacteria in a culture is growing at a rate of 2500e2t/5 per unit time t. Find the numb...

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Q: dy 3 - dx2 4 y = 1/2 dy/dx = -1 when x = 1

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Q: 1 1 + e6x xp

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Q: 1. Evaluate the limit. Do not use L'Hopital's Rule a. lim e7x+2 X→-00 b. lim tan(Ttx) 1 4

A: Just take the limit and calculate them.

Q: A function y = f(x) is continuous and differentiable on the interval (0, 7). If f(x) dx = 13, f(1) =...

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Q: solutions

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Q: 1/V3 dx 1+4x2

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Q: or the integral cosx sin'x dx ? Let u = There is more than one credit will be given.

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Q: Question 11 Evaluate the integral Jve'dy. A Enegative 1 half e to the power of y squared end exponen...

A: Let's find. 

Q: x2 – 1 dx 9х3 — х

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Q: Question 1 Find the indefinite integral of F (1) = / te*dr. A 28 e to the power of 4 t squared end e...

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Q: Find the most general antiderivative. dy A В c) 8 +C D

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Q: State the domain and range for the following relation. Then determine whether the relation represent...

A: here the given relation is {(5,2),(-8,5),(8,9),(5,17)} domain of the relation is the collection of t...

Q: Find the total area between y = x'/3. - x and the x - axis for -1 sIs8.

A: Follow next step

Q: Use the shell method to find the volume of the solid of revolution generated by revolving the region...

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Q: хах 3. S cos (2-3x2)

A: To evaluate the integral ∫x dxcos2-3x2.  

Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y2 – 2y = 0 ...

A: The given curves are: x2+y2-4y=0 y=4-x