Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated about the y-axis.

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Q: Evaluate the integral. 6 sin x dx -1 %3D NOTE: Enter the exact answer in expanded form.

A: To evaluate the given integral.

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A: Take the derivative using power rule of derivative then substitute the value of x and simplify. 

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Q: - Trig Sub dx x+V9 – x2

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Q: rectangular field is 75 yards wide and 120 yards long.  give the length and width of another rectang...

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Q: If g(x) = | sinx dx and g |=3, then g (0) is equal to 2 A -2 B 4 D 2.

A: We can solve this as follows:

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Q: dy given that y = dr -3 sec-1 (VI) (4*)(log2 r)sech z ° Using logarithmic differentiation, find

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: 2. Given the integral: 4 -dx. Evaluate using Romberg's method. Tolerance = Næ10-6 %3D 1+x²

A: Romberg code: #include <stdio.h>#include <stdlib.h>#include <math.h> double F (dou...

Q: (Q.2) Describe how to use the weighted residual method (2-term polynomial approximation) and write d...

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Q: | In|V + 1| dx

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Q: 8. What is dx (x2+8)3 9. What is {(Sin (tan (x*)} dx dy 10. What (x -2x +5)6 dx =一

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Q: dx Evaluate: x2+ 8x + 20 A In (x²+ &r + 20) B None x+ sin -1 2 +C x+4 D tan +C x+4 E -tan +C x+4 F -...

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Q: In(1+2e") d) an n

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

Q: Determine whether the function has an inverse function. Зх + 7 f(x) 7х + 2 Yes, f does have an inver...

A: To find the inverse of a function

Q: Haw Findd 32f 32年 and 32f |- Pcxxy) =tan'cx+y) woyg ズ mo は 2- fCx,y) xty + cosy +y Sinx. %3D

A: To find out the partial derivatives.  

Q: cosx f(x) = 1+sinx

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Q: Length of the Arc Instruction: Answer the following. Show all your solutions. 5. a. Give the formula...

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Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y – 2)° = -4(x – 4) ...

A: Let's find. 

Q: Find the derivative. f(x) = tanh(x) f'(x) = Need Help? Read It

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Q: Evaluate S sin? 2xdx

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Q: sinh(3x Solve for f(21) (x) given that f(x) =

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Q: Find the antiderivative, G(t), of the function g(t) = (5n²t? – t*)v5n2 – t2.

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Q: 11. A gate in an irrigation canal is constructed in the form of a trapezoid 3 ft wide at the bottom,...

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Q: 1. What is the answer?Show your complete solution and simplify your final answer without the use of ...

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Q: Find f. f '''(x) = cos(x),    f(0) = 5,    f '(0) = 5,    f ''(0) = 3   f(x) =

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Q: The GDP of a certain country is $615 billion and is increasing by $25 thousand per person. The popul...

A: Given query is to find the rate of change of GDP.

Q: . Solve the initial value problem (zln z)y/ + y = x²e y(e) = 1 ze² +1- ee+1 e (x + 1) +1– e°(e+1) (b...

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Q: 17. A landscape gardener wants to build an 8000-square foot rectangular display garden along the sid...

A: Let the lenght of the garden is =x foot  Breadth is = y foot  Therefore, area = lb  8000= xy  Now we...

Q: 1 dx 2 х3 — х3

A: Given: I=∫1x23-x13dx   ...1   We know that; ∫1ax+bdx=1alnax+b+C

Q: Use the Root Test to determine if the series (-1)" 2'/m Σ en² (2n2 – 1)" | n=1 converges or diverges...

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Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

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Q: a) an en 3n

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Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identify the u and find 4 sec?x dx

A: Please refer to the image below 

Q: 5. S Vr3 In(Vx) dx 6. Si, Inx dx J1

A: This question is based on indefinite and definite integral.

Q: please

A: We have to calculate the given integration 

Q: 2. A rectangular box has a square base with edges at least 10 cm long. It has no top, and the total ...

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Q: A boat starts off 28 miles directly west from the city of Morristown. It travels due south at a spee...

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x² – ...

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Q: D³ + D² + 4D + 4)y = 0; y(0) = 2; y'(0) = -4; y"(0) = 2. Find y(TT) %3D

A: Given that:D3+D2+4D+4y=0   y0=2 ,y' 0=-4,y''0=2To find: yπSolution :D3+D2+4D+4y=0Auxiliary equationm...

Q: dt Which of the following is one of the correct steps to evaluate 4e'+e- 4dt 4 4e'+e-' 4dt B 4e'+e N...

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Q: x* + ах — 2bx — 2аb — хз — 2ах* - 2bx? dx х4 + аx3 — 2bx3 - 2аbx?

A: I=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x2+ax-2bx-2ab)dxI=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x+a)(x-2b)dxPerf...