Question 17 b --x" + -xP +C. a d The general antiderivative of (3x2–4) 2x² can be written as m p What is the value of the sum of a+b+d+m+n+p? (A 60 B 69 65 (D 64

Q: ind the second derivative(y”) of the following functions and simplify the final results.

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: 4. Find the volume of the wedge cut from the first octant by the cylinder z = 12 - 3y2, and the plan...

A: We have to find volume. 

Q: sinx sinx +x Cosx- e +e The integral -dx may be written as me"sinx +px+qe^ +C, where m, n, p, q, r, ...

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Q: -K-t K(1+8)

A: Please see the answer below.

Q: 2) Let r(t) = (t, t² , e'). Find an equation for the unit tangent vector T(t).

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Q: b --x"+ -x +C. n P a d The general antiderivative of (3x2 – 4) 2x² can be written as -x' m What is t...

A: Firstly we find integration

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Q: these equations have complex characteristic roots. Find the general solution in each case.  a.y'' +...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: A stone is thrown straight up from the roof of an 80-ft building. The distance (in feet) of the ston...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x = 2, ...

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Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function a(t)&g...

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Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

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Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 7/3 zP (?)f s(2) dz 2. 7/3...

A: Topic = Integration

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A:

Q: 10 -dr may be written as Aln secB +tanB*+C where A, B, and C are constants not equal to zero. Evalua...

A: Please see the below picture for detailed solution. 

Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: Find the interest rate needed for an investment of $4000 to quadruple in 12 years if interest is com...

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Q: The acceleration of an object (in m/s2) is given by the function a(t) = 9 sin(t). The initial veloci...

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Q: Find the limit using L' Hopital Rule. L'Hopital Rule. lim x? In (5x)

A: limx→ 0+x2ln5x using L'Hopital rule

Q: Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was thro...

A: We need to find time when stone passes top on its way down.

Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

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Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: Which of the following integrals is equal to ( 3x – 5) dx if u=3x – 7? (A (u) du / (u+2) du B © :/ (...

A: We know by properties of definite integrals, if a-b=(p-q)/m then, ∫baf(x)dx= 1/m * ∫qpf(x)dx  

Q: Perform the operation(s) and write the result in standard form. (Simplify your answer completely.) (...

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of integra...

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Q: Describe the graph of the function. ) (x- 3)2 +7 O parabola opening upward O parabola opening downwa...

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Q: What is the integrable form of sin-cos-sino do? 2 2 (A) Vu?-1 du 1- u² du -2/ sinu du D cosu du

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Q: Replace ? with an expression that will make the equation valid. d. x* +5 = ex +5? dx The missing exp...

A: Consider the expression  ddxex4+5=ex4+5   _

Q: sin-cos-sino de has the form 2 -F(e) +C. What should be the value of e to make F(e): The resulting i...

A: We will find the value of theta. 

Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

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Q: 2) The graph of a function y = f(x) is given. Draw a graph of it's derivative %3D

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Q: A house was valued at $105,000 in the year 1992. The value appreciated to $175,000 by the year 2006....

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Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: (4) Let S be the surface parametrized by I= r cose y =r sin e 2= 30 where and Evaluate the integral ...

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Q: Suppose f(x) and f'(x) have the values shov 33 34 35 36 37 f(x) f'(x) 9 17 5 4 15 3 -4 -3 -5 -2 1 Le...

A: We will find the value of the function. 

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded b...

A: We have to find the volume generated by rotation the curve about y axis.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: The planes I and I, have equations II. : 6y+5z =-19, 5 I,:ニx-4y+7:=1. State the normal vector of the...

A: We have to find the normal vectors of the given planes.

Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

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Q: d +-xP +C. What is the value of the sum a The general antiderivative of (3x2 – 4) 2x2 can be written...

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Q: (a) e2tsin (wt +t/6)

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Q: Let g(x,y) = x³ – 6x² – y* + 5. Find and classify the critical point(s) of g.

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Q: - -r(0)+c The resulting integral of sin-cos-sino de has the form +C. What should be the value of a t...

A: We will find the value of theta. 

Q: Find the indefinite integral. (Use C for the constant of integration.) - 64 dt Need Help? Read It

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

Q: bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the ...

A: Given query is to find population of bacteria after indicated time  

Q: Show that y1(t) = et and y2(t) = e−3t form a fundamental set of solutions for y'' +2y' −3y = 0, then...

A: If y1(t)  and y2(t) are two solutions to the differential equation                   p(t)y''+q(t)y'+...

Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x², x = = 1, and y = 0,...

A: