10. If f(x) dx = n, S 78(x) dx = 7, and So g(x) dx = 2, find the values of the following. g(x) dx b. 8(х) dx a. VIS«) dx f(x) dx d. c. (8(х) — 3f(х) dx e.

Q: 11). If dy = (2x – 3) dx and y = 2 when x = 3, find the value of y when x = 5.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

Q: 9. If | f(x) dx = 20 and f(x) dx = 3.6, find f(x) dx.

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Q: 1. S(7x³ + 4x²)dx e*dx 2. J itez* 1+e2x 3. S(V1 – cos x)dx

A: We will these indefinite integrals as

Q: 2- e dx 十e X X e dx 2.

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Q: 1.S (3x5 – 2x – 5x – 3) dx 2.5 (y? – 1) (3+2y) dy 3.S V + 5VX³ dx

A: Dear student. Since you have posted many sub-parts, in our policy, i have answering the first…

Q: Thank you :D

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Q: 16 4+x² dy when y = Find 4 – x² dx dy dx

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Q: what is dy/dx?

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Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: 7. Solve for dy/dx if x = 2 + t and y = 1 + t2

A: From the given problem: x=2+t;y=1+t2 As we know that the Power law: ddxxn=nxn-1 We know that:…

Q: 18. S V1+x dx 1-х

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Q: 2 4 Evaluate Sx dz dy dx 3

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Q: 1 What is S dx? x²+2x+5

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Q: 4. Differentiate the following function.   y=5e x−5x dy/dx=nothing   Enter your answer in the…

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Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

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Q: 4. Using homogenous D.E approach, solve (x³ – 3xy?)dx = (y3 – 3x²y)dy.

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Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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Q: 4 For the function y = 1 e - dy the second order derivative dx? is

A: Given that a function and find second derivative of this function (d2y/dx2). We know that d(xn)/dx =…

Q: 27. Select the correct one SEF (x)dx S% \f(x)\dx, | - Sif(x)dx < S%\f(x) |dx,

A: Given- Consider the all options given below, To find-  The correct one in the above options.

Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

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Q: L{t – e-3t} = + s-3 L{t – e-3t} = =-- I. II. s-3 L{t – e-3t} = +3 L{t – e-3t} = III. IV. %3D s+3

A: We know the Laplace transforms Ltn=n!sn+1, s&gt;0 L ea t =1s-a, s&gt;a Now, Lt-e-3t=Lt-Le-3t L t…

Q: 2 1. Z =- 1+x2 ; d²z/dx?

A: z=21+x2

Q: 9. Find the General and Particular solution of = 4y ; y= 3,when x dx

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Q: 2. Suppose that . f(x)dx = 9 and S g(x)dx = 4. Find the exact value of 2f(x)dx.

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Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

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Q: 4- S" e-x* dx 5- Vy e-y² dy

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Q: 2 What is wrong with the equation dx =

A: Use the formula ∫xndx=xn+1n+1, to evaluate the indefinite integral ∫4x3dx.…

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

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Q: 9. If dy = xy² and if y = 1 when x = 0, then when y = 3, x is equal to dx 0 -0 DIE

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Q: 13. If y=(x 2+6)7​, find d 2y/dx 2. d 2y/dx 2=?

A: We have given y = x2+67 Differentiating with respect to x  dydx=ddxx2+67 dydx= 7x2+67-1 ddxx2+6…

Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

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Q: What is the process for finding dy/dx when y is an implicit function of x? Illustrate with an…

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Q: 3. a) If y = 6x - 5x +7x +2x – x+10, find dy at (2,3) i. dx d'y il. -at (1,-5)

A: See the attachment

Q: 4. Find 3x 2t dx/e²t dt

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Q: ^4-x² •6-z 2. Evaluate: dy dz dx. 3x2 4-z 3. Evaluate: dx dy dz. Jo Jo 0.

A: To solve the given triple integrals

Q: .5 If f(x)dx 4 and | f(x)dx =7, then f(x)dx = %3D

A: Answer is below

Q: dx 1. S. 2x-x2 if y = x° (In x)? . dx 3. S x³e-* dx . 2.

A: Note : as per our guidelines we are supposed to answer only one question if there are multiple…

Q: To use differentials to approximate V8. You would use x = and dx

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Q: 1. Solve (6re",x0 b. [3cos 2xsin 7.xdx

A: here we have to evaluate  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3 , x&gt;0b) ∫3cos2x sin7x dx

Q: 2 - S tần² (3x)sec²(3x)dx

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Q: 3x 6 1 -In xy dx e-In √x dx +dy +=dx = e-mxx y X

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Q: Vx2tan4x2 dx 2. S (2cos2x2-1)2 dB 3. S 1+e2B 2lnx+1 dx 4. ((Inx)2+Inx) x

A: Given:  2 ∫x2 tan4x2 dx2 cos22x2-123 ∫dβ1+e2β4 ∫2 ln x+1ln x2+ln xdxx  To Find: To evaluate the…

Q: Vaz x² S. (2) dy dx

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Q: What is the value of the differential if f(x) = x + 2x - x = 2 and dx = 0.63. Round your answer to…

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Q: 1 B3. Evaluate dx, using substitution method.

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Q: '5 If f(x) dx = 8 and f(x) dx = 5.3, find f(x) dx. If f(x) dx = 31 and g(x) dx = 14, find [4f(x) +…

A: 1. ∫17f(x)dx=8 and ∫57f(x)dx=5.32.∫07f(x)dx=31 and ∫07g(x)dx=14

Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

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Q: 4. (6xy³ + 2y*)dx + (9x?y² + 8xy³)dy = 0 5. (у2 — 2ху + 6х) dх — (x? — 2ху + 2) dy — 0 When: x =…

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