-4 –x² x e?y dy dx= 4-у O 1 (e12 – 1) O 1 금(62-1) 2 O 1 8–1) O 1 (e8-1) 4 (e 12-1) (e?-1)

Q: S(x + 1)(2 – x)° dx 7(2 - x)* - (2 - x)* +c 7(2 - x)* -(2 – x)* +c 3. (2 - x)* +(2 – x)* +c 금(2-x)*…

A:

Q: 00 10) evaluate (x + 2)5e-(*+2) dx -2

A:

Q: 2 x + 4 dx 3x°+4x- 4 X 3.

A:

Q: Exercises: Differentiate the followings 1. y = (2x2 – 4x + 1)60 %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0 %3D

A: 2x+62y2+3dx+4yx2+3x+2dy=0

Q: 2 x-29x+5 S- (x-4)°(x²+3) 2 (x-4)´(x

A: To Solve

Q: C4

A: Given, Evaluate ∫ex1+e2xdx

Q: Solve for Rf   E(Ri) = Rf + [E(RM) – Rf] × bi             .1020 = Rf + (.1080 – Rf)(.91)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi              .1020 = Rf + (.1080 – Rf)(.91)

Q: (x³ - x) dx 3 -1

A:

Q: - In(1) none of the choices -5 - In(3) - In(4)

A: Integration of Rational Function: A function of the form , whereand are polynomials, is called a…

Q: (a) S 5x2/3 +x5/3 + 3x+/3 dx (b) Sx² - 4 dx (c) Sa? — х — 2) (3- 4х — 2х?) dx

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Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

A:

Q: 8. If x = 1- 1 and y = In 1, what is in terms of 1 ? dx (B) 21 (C) -- (A) (D) 212 (E) 214

A: Given x=t2-1,  y=lntdxdt=2t,  dydt=1t Now,  dydx=dydtdxdt=1t2t=12t2

Q: -31 If A = [²2² =2²] B = [²34 21 6 -2. Find 2A - (B + A)

A: given

Q: Ax + Bx (x- 1)(x + 1) Given that can be expressed in the form 2 + find the values of 2(x - 1) 2(x +…

A:

Q: Solve Legendre equation (x + 1)2 dx2 + (x + 1) dy (2x + 3)(2x + 4) dx

A: Given equation is. x+12d2ydx2+x+1dydx=2x+32x+4                               ......1 Let…

Q: Trigo Substitution

A:

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: Prove that v5 is irrational.

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Q: 1 dx 2 21+2*2 ху

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Q: Differential Equations. 100 150 Very large tank initially contains of Salt Water Containing gallons…

A: As per the guidelines I did first question.

Q: 5e2*dx 9ex – 6e2* + 1 (A 3e 2x B 3e2x – 2 (©) 3e2x – 1 D 9e 4* – 6e2* + 1 E None

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Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

A:

Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: 1- 2х + x2 dx х2

A: To Find :

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: 5. S(e2r – e-2r)²dr S(e?r -2т е 2х 6. S dx 4-Зе2х

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Q: 12. 3c-2 C с2 -4c c-4 -1

A: We can solve the given problem by using cross multiplication method.

Q: e2y (е) dy |19+ edy)

A:

Q: In this section, we showed that the rule d/dx1xn2 = nxn - 1is valid for what values of n?

A: given that ddxxn=nxn-1

Q: A ezbx? dx 2

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: 5/ 4x2 - 3 dx;

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Q: 3 2 พ 2 cos2 4x dx

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Q: Question 6 dx Using half-angle substitution, the integral is equivalent to 2+ sin x zp 1+z+z? dz…

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Q: S" (2x + 1)ea(x+x)dx, b > 0, a is a constant

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: