23. If u = f(x), then +2x² + 1 k + C for some constant k . x² + 1 Compute kf (1). (a) ¼ (b) – ½ (c) 2 (d) -1

Q: d) Without expanding, calculate the marginal function for: TC = (2Q2 – 3Q + 7)5 %3D

A: Given

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A: Question: Find the absolute maximum value of the function over the indicated interval and indicate t...

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A: (4x2+y2)dxdy = -xy ....(1)f(x,y) dxdy =ϕ(x,y)The given differential equation is ahomogenous equation...

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A: This is a integration problem

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A:

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A: To solve the following integral

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A:     14lntan4x+tan24x-24+C' =14lntan4x+tan24x-24' +C' =sec24xtan24x-24+0=sec24xtan24x-24 So, the firs...

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A: dIdW=0.0634.6-I  

Q: 7. Determine f (x) so that cos(In'x) f(x) dx = sin(In'x) + C %3D (a) 2 In x 2 In x (b) (d)

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Q: Given the matrix below, determine the following:  a. Cofactor of the element 5 b. Cofactor of eleme...

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Q: = 60 %3D = 30 %D =D3 %3D = ? %3D

A: From the given information,           3 × times of Red flower = 60                        

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A:

Q: Exact Equations (w³ + wz² – z) dw + (z³ + w²z – w) dz = 0 O (w² + z?)² = 4wz + c O (w? + 2?) = (4wz ...

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Q: Given: 5e-x-6e-3x Find: u 5e-x - 6e-3x O 5e2x – 6 5e¬x-6e-3x O 5- 6e-2x

A: topic - indefinite integral

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A: This can be evaluated as follows:

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Q: 14. If we let u = 4x – 1 for the (2tan(4x-1)-3 cos“(4x=1) dx. what will be the cos(4x-1) resulting f...

A:

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Q: Evaluate the integral cot 2x dx cot2 2x - 15 -금사 csc 2x +C A Arcsec 4 B -In/cot 2x + cot? 2x – 15|+C...

A: Here, the given integral is: I=∫cot 2xcot22x-15dx

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Q: 22. Determine f(x) so that cos(In²x) f(x) dx = sin(In²x) + C (a) 2 In x 2 In x (b) Inx (e) NIK

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Q: 11. The integral of an(In|4x-12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. 2 С. 4 D.

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Q: -2r 2. Find de/dr of the function 0 = (cos(r))

A: Given problem:-

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Q: Given: J5x2 cos(3x³) dx. If U=3x°, then the resulting integral is Jf(u) du. Find 4

A: I=∫ 5x2 cos(3x3) dxu=3x3du = 9 x2 dxx2 dx =du9which gives;I =∫ 5 cos(u) du9I =∫ 59cos(u)  du .....(1...

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Q: Evaluate the integral V5+ 12x2 – 4xª xdx 2x2 – 3 (2x? - 3)/5+ 12x² – 4xª + 14Arcsin V14 +C {(2x2 - 3...

A: We will use substitution method to solve it.

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A: Please see the below picture for detailed solution. 

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A: This can be evaluated as follows:

Q: dx 3. The integral +1 reduces to where u = f(x) and for some constant k. Compute f(1). (a) (b) e +1 ...

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Q: Find the total differential dw. 1 5. w = x tan¬' y – 2ªyz -

A: Solved below