The value of a is Blank 1. [²1² sin³r cos³r dr == where a =.

Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: x^2 - 5x + 8 is equal to • 4(2x-5)^2+7 O 2(x - 5)^2-6 O (x-5)^2-9 none of the choices टट

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Q: n! n=12n! +1 A. The limit does not exist. B. None of the choices in this list. C. The series…

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Q: dx Consider S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z. A…

A: find out the integrand in terms of z.

Q: Compute the partial derivative of the function * f(x, y, z)= el-roos(y) +2e=1/(1+²)

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Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Solution is here

Q: Pleaase help me in my subject Calculus   The volume for solid revolution between the curves y =…

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Q: The integral can be rewritten as 6u³ (a). Joudu u+1 6u4 (c). du u²+1 ܐ | dx √x+√x (b). Sū 6u² u²+1…

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Q: If w= ebix-b2y-b3z, where b₁,b2, b3 are constants and b + b + b = 1. Show that 8² w 8² w 8² w dy² +…

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Q: Choose among the following suitable to define the given integrations: * f(x + 1) sinx dx Not…

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Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t).

A: We have to find dy/dx.

Q: Evaluate the integral given below. Check your answer by differentiating- NOTE: Enter the exact…

A: To evaluate the integral given below. To check theanswer by differentiating.∫16t-6 et dt=?+C

Q: Find and classify all critical points of the function f(x, y) = x+2y-In(x¹3³)

A: Given :f(x,y)=x+2y4-lnx4y8

Q: terval of convergence of the series Σ(√n+1-√n)(x+2)" is given by -3<x<-1.

A: It is convergent when  |x+2|&lt;1  -1&lt;x+2&lt;1  -3&lt;x&lt;-1

Q: Not yet Simplify 3-3-1-3-2 O a. 5(3-2) O b. none of these Oc. с. 3(53-2) O d. 33-2 o e. 3³-n

A: To simplify the given expression .

Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: y"+y' = 0; y(0) = 0, y'(0) = 1 cost + sint t + cost + sint O B) 1- e-t t-e-t OA) OD)

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Q: Given that dy/dx = (x^2) and y=3 when x = -1, find the function f(x) in terms of x y-x+c--1 C

A: dydx=x23=x23

Q: * If z = f (x, y); then its total differential can be expressed as дz dydz date - ( 7 ), v + ( ;) -…

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Q: Find the first derivative of y=x² O a. y' = r²lnz O b. y'= -2² (1+ Inz) y'=r(1-Inz) °c O d. none of…

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Q: The graph of y = z² is shown on the grid. Graph y = (x - 3)² – 2. 10+ 9 40 05 15 8 * 50 An NE

A: graph of function

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

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Q: 2. For a given perimeter, what is the ratio of the length to the width of a rectangle that will have…

A: Solve the following

Q: x-y •SS=20₁ -dA over a square region Using the transformations u=x-y and v=x+y to evaluate xx+y with…

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Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: First we find revenue function from given data.  And then we find maximum revenue for sold…

Q: Eliminate the parameter 1 to find a Cartesian equation for: x = t² and y = 4 + 2t. and express your…

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Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

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Q: dy Find dif: y = ln(x + √² + a² O a √2+²+² O b. √ О с. √√2²+0² O d. none of these O e √√zta

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Q: boy wishes to use 100 feet of fencing to enclose a rectangular garden. Determine the aximum possible…

A: Given query is to find maximum possible area.

Q: Suppose sec(0) = 3 and the terminal side of 0 does not lie on the first quadrant. What is the value…

A: Given sec(theta) = 3 and (theta) is not in the first quadrant. We know that sec(theta) is +ve when…

Q: consider using rational

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Q: What is the value of f(1) + g(1)?

A: This question can be solved using integration by parts.

Q: Suppose the graph of y = f(z) is given. The graph of y=f(z) can be found by: O A reflection across…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: 2. Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal,…

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Q: Determine the graph of the area between the curves bounded by y = -x² + 1 and x=y A B C D

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Q: b- dy +2y=0; y=1 at t=0, y(0)=1 dt

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Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e";…

A: Solution is here

Q: Determine the area bounded by the curves x^3 - y = 0 and y + 3x^2 - 4 = 0, using a vertical element.…

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Q: If u = eª₁x+₂y+a, where a₁, a2, a3 are constants and 2² u J² u 2² u + = U. a² + a² + a² = 1. Show…

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Q: A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one…

A: We need to find equation.

Q: The interval of convergence of the series Σ(√n+1-√√n) (x+2)" is given by A=0 A-3≤x<-1. OB-3<x≤-1.…

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Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Solve the following

Q: Ifv= U (x² + y² +2²), then 025 + 0 + 02 is dy² 0 0 01 1 O-1/2 O Other:

A: Here we have to do the partial differentiation of the given function.

Q: 4. g(x) = (3x − 2)4; g"" (x)

A: We can find the derivatives as below

Q: Let W be the set of all 1st degree polynomials (or less) such that p-p^2. Which statement is TRUE…

A: Given W the set of all ist degree polynomials such that           p=p2  Let p= 1  ⇒12= 1  Thus p=p2…

Q: Part II f(x)=x² A. g(x)=(x-3)² f(x)=x² B. g(x)=(x+3)² p(x)=(x-3)² +5 p(x) = (x+3)² +5 f(x)=x²…

A: We need to find vertex. As per Bartleby's guidelines we can solve only one part. Please upload other…

Q: Find the value of (D) solve in detail 1219 = 20.88 * (0.015/60)1.85 4.87 D4 Ans. D= 0.0186

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Q: Suppose cot(y) = - 3 4 and csc(y) > 0. What is the value of sin(y)? A B Ⓒ с I 415 315 -33 |

A: solution next step