27) 3V16x'y'z 29) 6V75mp*q*

Q: 1) Use the Substitution Method to find f 12x (3x² + 4) dx . O 20(3x^2+4)^10 +C O 0.2(3x^2+4)^10 +C…

A: The given integral is 12x(3x2+4)9.

Q: M(3, 5) is the midpoint of PP2, where P has coordinates (0, 1). Find the coordinates of P2.

A: M (3,5) is the mid point of P1P2¯ , where P1 has coordinates (0,1).we have to find the coordinates…

Q: QI/ Evaluate: 1-S(y3" + y2n + y")(2y2" + 3 y" + 6)i dy.

A: Proceed as shown below...

Q: Suppose that Var(X) = 742.23, Var(Y) = 8890.5, and Cov(X,Y) = 2191.72. What is Var(.51X + .49Y)?

A: The objective of the question is to find the variance of the linear combination of two random…

Q: dx (4-2²)° (뿌): O none of these 1/2 11/8

A:

Q: m) Linearize : -3x 天ェ_= around %31

A:

Q: Find ixv uheres -4に+ +4だ35ェ 2it5j 3 <2ーり52 3V- <3ッみィイフ

A:

Q: Explain why it is not necessary to use the Quotient Rule to compute

A: Because in the first expression x is in the numerator and we are doing partial derivative with…

Q: E valuate:0 =4 j9

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: On Planet X, the height, h metres, of an object fired upward from the ground at 48m/s is described…

A: The height of the object after t seconds is given by,  h = -16t^2 + 48t a)  Therefore the height of…

Q: d²y 54. Let y = 4r+2r+l_find CL)

A: To find the double derivative of below expression.

Q: How, Form P.D.E. from: a (3) Ucx,y) = (x²+a)lytb)

A:

Q: 12) x+(6x + 5)___dx √√x6 + x³ + 5 S

A:

Q: 2 fax) = 2 + 3x-xª for f(x+1)

A:

Q: ジ.キウー。 *り6)e o)。 3-

A:

Q: Is Q closed over multiplication? (Y/N)

A:

Q: Integraate :S, 22+x+! d>x 2.

A:

Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

A:

Q: Find y' for y = 8x³ + 5x² − 7x + 4 - A) 24x + 5 C) 83x² +52x - 7x B) 3x² + 2x - 11 D) 24x² + 10x - 7

A:

Q: solve differtial eauatiun 6x dy +(61ny+5) ¿x =o

A:

Q: Cakulate (3i+2j+k) • (i + zj - k

A:

Q: Y2-1 dy

A: Follow the procedure given below.

Q: Use the substitution u = √x+9 to evaluate =(√x +9) * +c ² / (√x +9) ²¹ +C 1 / (√x +9) ²+ + C =(√x+9)…

A: By using substitution u=x+9 to evaluate ∫x+93x dx.

Q: (2 + j)?

A:

Q: 1 Find the Nahee af the falloding in togreals's Jet X+1 3. 8. +3. -4+3 da -2 2 JX -9. 2. Lett-lx 9.…

A: You don't mention which question i have to solve. And you already solved them. I go through all the…

Q: Find y'. 4) y = (5x3 + 5)(5×7 .7) A) 250x9 + 175x6 - 105x2 C) 20x9 + 175x6 - 105x2 B) 250x9 + 175x6…

A: The function is given by y = 5x3+55x7-7 To evaluate: The expression of y'

Q: 4xу + 30х у —16 ху" 6ху

A: Divide the entire numerator by denominator.

Q: z 1 dz 54. z(z 4)

A: Partial fraction:

Q: 1) x'+ 64 - 0 2) x* - 7x + 12 - 0

A: We have to factorize the given expressions. 1. x3+642. x4-7x2+12=0

Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: Q3) a) find f sec³ x dx

A:

Q: 03)Find: T(n+1)% = 1) 2) 3) T(e)= %3D

A: 1. From the definition of gamma function we know that τ(n+1) = n!

Q: Ex Find lull, , u.v, and d(4,v). U = (-1,1) , v= (7, 9) O d(u, v)

A: