In z dz z4 e

Q: Find a and b in Va+4x-5 dx = x+2

A:

Q: z dz 2). S: 25+16z2

A: We can find the integration as below.

Q: dy dr * = 1+ ev-z+5 e + e®+y

A: Option -3:C=x e-5-ex-ydifferentiating w.r.t. x;0=x (0) + e-5(1) +exe-ydydx                -ex-y0…

Q: Find y' if  y = ln(3x2 + 5y2).

A: we have to find the derivative of y

Q: 3y+125 dy (e+5)² Зу

A: we need to evaluate the given indefinite integration

Q: 1 t² dt 4 0.

A:

Q: 3. 2xydx – (3xy + 2y²)dy = 0

A:

Q: 8y3–1 dy 5. S 2у+1

A:

Q: 11z Evaluate ſ dz ƒ dz ĵ e² dy.

A: We have to solve the given integration and find out which option is correct.

Q: S In (ecos5×)dx

A: Given that: ∫ln(ecos5x)dx

Q: 1) Dyニメー2x十一o円 2x+10

A:

Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

A:

Q: dy (y2+In2)=-(23+) %3|

A:

Q: (d) P(|Z| >z) = 0.01

A: (d) Let Z be the random variable from normal distribution then we will z-score?

Q: .4 2 Evaluate : S(4x3 +)dx x+1

A: This question is based on definite Integral.

Q: 10 2. F (s) s2 +4s+4

A:

Q: If  h(2) = 5 and h'(2) = −2,  find d dx   h(x) x       x = 2.

A: Derivative Question

Q: 3-S(1+ x²)e=*dx

A:

Q: IF y = u+ + 3u2 & u = 2x 64x3 + 30x 8x(8x2 – 3) الخيار رقم 1 خيار 3 Find dy dx 8x(8x2 + 3) 8x(8x3 +…

A: We can find the derivative as below.

Q: 2. S dt

A:

Q: -In 2 e* dx 3 (e2x + 8e*+ 7)2

A: ∫0ln2exe2x+8ex+732dxLet u=ex.=∫121u2+8u+732du=∫121u+42-932duLet…

Q: 2. m ZU = mZE J E.

A: Since, the student has mentioned to solve question number (2), so we are solving only question…

Q: Expand d/dx (Yx)

A:

Q: 3. Compute (+) A. 1 B. -1 C. C.D. - E. i

A:

Q: * In z dz = 1 A 25 4eb+1 25 B

A: Given:∫1ex4lnx dx

Q: If y = (5x+ 1)(2x- + In x), then will be dx A. (5x + 1) (+;)+5(2x-1+ In x) В. B. (5x + 1) (-) +…

A:

Q: a. b. dx x+2x³ In S is Inx In 2x² + 1| + C X C √ √2x² + 1 + ₁ C. d. In|2x² + 1 1 + C In x + In|2x² +…

A: Given problem:-

Q: 31 Find Z イニx S= = マニメe

A: By using partial differentiation, we find the required second order partial derivative.

Q: Evaluate ((x-2)/x dx : 4 O 6 .6 テメ 11 3 11 * + C 11 6 4 + C 11 * テ x² +C /6

A:

Q: 1. F(s) = 2)

A:

Q: 3y°e3ry – 1+ (2yey + 3xy°e*") y' = 0 y (0) = 1

A:

Q: 8y dy e2y

A: topic - definite integral

Q: (A) Evaluate S (3x + 6) (4/¤ +1) dx.

A:

Q: Show that c12 2 dx = ln (7 + 4v/3). 8, Va2 – 8x -

A:

Q: S öz (vā - z°) dz =

A: indefinite integral

Q: If y = e3x+18 then dx O 4e3x+18 O 3e3x+18 O 54e3x+18 O 18e3¤+18 O 2e3x+18

A: Given that: y = e3x+18

Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

A:

Q: 6 3 e dædy 2.

A: To find the value of the given double integral: ∫06∫y23ex2dx dy Here, finding the given integral…

Q: In 2 e2x dx V1+ ex

A:

Q: (14) f (x,y)=e" (x² +y²)

A: f(x,y) = (x^2+y^2)e^-y fx= 2xe^-y fy= -(e^-y)(x^2+y^2)+ 2ye^-y fxx = 2e^-y fyy = (e^-y)(x^2+y^2)…

Q: 3 Evaluate ſ x³(4 + x²)ždx

A:

Q: If y = Eo(k + 1)z*+3 then y' = .

A:

Q: 5. ²+²=2xy 6. 2x + 2y + 2y' + 1 = 0 dy dy 7.

A: Solution is here

Q: Evaluate (S(x+ 2y)dy) dx. О а. 5/8 O b. 8/5 Ос 3/16 d. 16/3

A: solution:-∫02∫0xx+2ydydx=∫02xy+2y220xdx=∫02x2+x2dx

Q: 4 F(s): (s – 1)3

A:

Q: Evaluate L/(x - 2y + z) dS. S: z = 6, x² + y2 < 1

A:

Q: Evaluate ſ xe3x dx A. (1/9)(3e³x – e³) + C B. (1/9)(3e³x + e3x) +C c. (1/9)(3xe3x – e3x) + C D.…

A: Integration by parts:∫u(x)v(x)dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: 9. y²dx + (3xy – 4y³)dy = 0.

A:

Q: IF y = u² + 3u² & u = 2x Find d dx 8x(8x^2+3) (64x^3+30x) O 8x(8x^3+3) O 8x(8x^2-3) O

A:

Q: ∫ 3e^(5t) dt

A: The given integral is ∫3e5tdt