3) d?y 1zloge %3D dx2 エ マ2

Q: (» — у + 3) da — (ӕ — у) dy — 0

A: Exact differential Equation: A differential equation of the form M dx + N dy=0 is said to be exact…

Q: 1. х3dх — узdy %3 3ху(ydx — хdу)

A:

Q: Ify= (? +5)*, fnd dy 4 ", find dx d?y dx

A:

Q: Evaluate the integrals

A: Evaluate the integrals   29. ∫8 dx(4x2+1)230. ∫6 dt(9t2+1)2

Q: 4. E 2cotx csc²xdx

A: Since you have asked multiple question, As per our policy we will solve the first question for you.…

Q: 19. csc (x) dx

A:

Q: The numerical value of [² ['ze'dxdy 0 3/2 2e dxdy is equal to ....

A:

Q: 2. S 22+3x dx = 4 ( +c In 8.

A:

Q: 5 dy = +C

A: We have to evaluate the integral using the above formulaes.

Q: 2.S Ver eax dx Sve

A:

Q: 4 The result of ff*(+√y) dxdy=

A:

Q: 4 2 To find the blue shaded area above, we would calculate: b. f(x)dx = area a

A:

Q: S egral dx (x²+4)² can be transfa

A: Answer is option-(d).   Using basic equations of trigonometry and substitution we got the answer as…

Q: 3 LS 2dydx = 4 %3D О 20 30 О 30 О 15

A: Integrate the given double integration in given order. First Integrate with respect to y and than…

Q: 3 dy

A:

Q: ? dx = In|x| – e* + C ? S 2²+3xdx = 4 In 8 + C

A:

Q: Sedx dx = ex + C.

A:

Q: 32 6 xp(, x)S 3)dx 4.

A: We can do integration in order to solve the given problem.

Q: 14) ſe" Vtanh* e" dy

A:

Q: (2x2 ox s} dx +x + 0. O 70 13 O 17

A: To evaluate the integral: ∫032x2+x+5 dx Solution: Power rule of integration states that:…

Q: 3. In cmx) dx =? イ

A: We have given ∫eme2mlnmxxdx Now, ∫eme2mlnmxxdx  Let lnmx=t⇒mmxdx=dt⇒1xdx=dt

Q: 7) sinh 2xdx 8) fcosh vdv 9) f cot ydy pai4 sec? Jwdw

A:

Q: In r dx 7.)

A:

Q: (3 Scoša dx

A: we use- cos5x= cos x (cos2x)2 but sin2x + cos2x=1  therefore- cos5x= cos x(1-sin2x)2 after the above…

Q: 4. I'e dz 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 10 5 dædy

A:

Q: Evaluate T. 8xyz dz dx dy 14 17 18 15 13

A: We have to perform 3 integrals in the given equation. So that we get a integer from that.

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

A:

Q: S Si e** (y + 6x²y)dxdy =?

A: According to the given information it is required calculate the integral

Q: •3 2ye dx dy y? Evaluate

A:

Q: 5) Зхуdy %3D ху?dy — ydx + 3dx

A:

Q: 9. J et dx 10. 4лr² dr

A:

Q: 2) dy : %D

A:

Q: 3 Evaluate: ³₂²₁²[z³(x + y)³] dz dy dx

A: When a triple integral is performed, then the innermost variable is integrated first, then the…

Q: 14) ſe Vtanh* e° dy

A: Step:-1

Q: s(D-) dx = Inlxl _6. + C 3 3x. 2 In 3

A: Since the student has posted multiple questions and has mentioned to solve question numbers 6-10,…

Q: 5) AZXY = AZXC Y C LY= ?

A: This question is based on Congruent triangles. CPCT stands for Corresponding parts of congruent…

Q: Se2x sec?e2x Vtan e2x + 2 dx

A:

Q: 3 Evaluate: ³₁₂₁(4x²y — z³) dz dy dx

A: Topic = Integration

Q: a) Só xv4 - x2 dx

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

Q: dy 12

A:

Q: d?y + 4y coshx dx

A:

Q: 4. J(2y + 3)? у+2 dy

A: Find your answer below

Q: х — 3 7. S dx (25- (х-2)2

A:

Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: Sí Si (3x² + 4y³)dydx

A:

Q: In 4 e2x dx 10)

A:

Q: 3. 2seex dx

A: Given :

Q: Find the most general antiderivative. 20) [(3x³ - 8x +2)dx

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.