Solve for the indefinite integral of the given. Upload your solution before moving on to the Type N if the integrand is unsolvable with the solutions learned in class by far. Once skipp back to this question. dw 3 (5 – 4w – w²)

Q: 8. Find f such that f'(x) = f(9) = 56. f(x) =]

A: Given f'(x)=8xWe know that ∫f'(x)=f(x)f(x)=∫8x dxWe know that ∫xn dx=xn+1n+1+C     =8*2x      =16x+C

Q: 5. Explain how you can differentiate the tangent function using an identity. Find the derivative of ...

A: Given query is to find the derivative.

Q: find the domain, equations of all the asymptotes, points of inflection, min/max points, concavity, a...

A: Given    Domain :

Q: region bounded by the given curves about the speafied line. y y,about y= 1 Sketch the region. Sketch...

A: To find the volume of the solid obtained by the rotation reason bounded by the curve. y=x^2 , x=y^2 ...

Q: Sketch the region enclosed by the given curves and find its area. 1 y x > 0 y = x y 4 | || |8

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Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this functio...

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Q: Evaluate the definite integral. Use a graphing utility to verify your result. 8. -Ix - 5|) dx

A: topic - integration

Q: Let F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) =(x+e*)¯, Determine the value o...

A: It is given that, F(x)=f(x)+g(x)ex+h(x)e2x+C be the antiderivative of G(x)=x+ex2  We have to determi...

Q: Suppose that P dollars in principal is invested for t years at the given interest rates with continu...

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Q: (x²+6y²)dx – 4xydy=0

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: We need to evaluate the following integral I = ∫4+1t31t2dt                            ...........1

Q: A 13 ft ladder is leaning against a house. The ladder slides down the wall at a rate of 3ft/min. a) ...

A: We have to use differentiation to solve the problem

Q: [()-](の) 4 3 |

A: We simplify the expression to understand why is the result negative.

Q: Determine whether the following series converges or diverges. n+9 Input C for convergence and D for ...

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Q: 3. - +- 9 + - 8 10 7 9 +

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. x = 8 – y? , x...

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Q: Show that the sequence {xn}: cost -dt is a Cauchy sequence. t2

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Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the regi...

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Q: O y" + xy" + 3y² = 5

A: Given that the four differential equations To find:- Which is 3rd degree differential equations

Q: The population of a country was 5.201 million in 1990. The approximate growth rate of the country's ...

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Q: dx %3D 1.

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Q: the laplace transform of (t)= t^1/2 as F(s)=sqrt of pi/s, find Laplace transform of 7t^3/2.

A:     L7t32=7Lt32Use Laplace Transform table:   Ltn-1/2=2n-1!!π2nsn+1/2=7·3π4s52=21π4s52

Q: 6. The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not d...

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

Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy ...

A: We know, ∫ dx/xn = x(-n+1)/(-n+1) +C , C is a constant and for any real number n.

Q: models the amount of money in Zachary's savings account over the last 10 years. Is Zachary's account...

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Q: For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular...

A: A right circular cylinder have a capacity of 36 in3.

Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =...

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Q: WeXg+x*g²_x*y% show that wxy=Wyx fnd wiy if waflusu),u=メー 2wefluV)u=メーツ V=xy Express the answer inte...

A: As per our guidelines, I can answer maximum one question. Since you have asked for multiple question...

Q: Determine whether the integral is convergent or divergent. xp x2 + x - 12 convergent O divergent If ...

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Q: Evaluate: /sin(Vx)dx 2/x sin(/x)+2cos(/x)+ C B2sin(x)-2/xcos(x)+C 2/xsin(x)-2cos(x)+C D None of the ...

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Q: Find the laplace transform of f(t)=t^n by definition.

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Q: dx 2xy-3y2 _14. tan*y – 2 tan y +1 = x N. dy (y-x) _15. secy + sec x = tan y dx 2x dy y sin x-cos y ...

A: 14) tan2y-2tany+1=x(tany-1)2=x Dfferentiate w.r.t.xddx(tany-1)2=ddx(x)2(tany-1)ddx(tany-1)=12(tany-1...

Q: find the general solution of the differential equation. y'+2y = xe-2x,    y(1)=0

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Q: The velocity of a car is f(t)=7t meters/second. Use a graph of f(t) to find the exact distance trave...

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Q: Find the equation of the tangent line at (2,2) on the curve x² + xy + y² = 3

A: Topic = Derivative

Q: D- Hyperbolic Functions ) y= cosh (dx-1)

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Q: ine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws...

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Q: The inverse notation f used in a pure mathematics problem is not always used when finding inverses o...

A: Since the tax function is dependent on g.

Q: (x2 – x + 1)y = 4(1 – 2x)y O y = (z? - a + 1)* + C O y = C(x? - a + 1)-4 O y = C(x² – x + 1)4 O Iny ...

A: We know, ∫ dx/x = ln|x| + C , C is a constant. ln(a)+ ln(b)= ln(ab) b*ln(a)= ln(a)b  

Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) = ...

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Q: - 4q° + 700g , where R(q) is in dollars and q Suppose a product's revenue function is given by R(q) ...

A: The revenue function is given by Rq = -4q2+700q Formula Used: MR62 = dRdqq=62 To evaluate: The margi...

Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +...

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Q: Find the indefinite integral and check the result by differentiation. dt F--3-3)- 8. 12

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Q: Find the point (xo, yo) on the graph of y = x + 9x2 + 3x - 4, at which the slope of the tangent line...

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Q: kx +5, g(x)={ 2 x<-2 4. If the function 3x+x², x2-2 is continious at x=-2, then find the value of k.

A: Given query is to find the value of k.

Q: The following curves bounds a certain area: = 4x – x2 - = 4 and x = -2 %3D etermine that area.

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Q: Find the area of the surface generated by -y -y + e 2 revolving the curve x = in the interval In 2 O...

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Q: firms production function is Q ( L) = 15L2 - 0.1L2, where output (Q) is a function of a single input...

A: Find your answer below 

Q: 6. f(16) = 63. VX Find f such that f'(x) = %3D %3D

A: Topic = Integration

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x4In(x) given the ini...

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