if y = 3x² – 4r³ + 3ª + VI + a, then dy/dr is:

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: 2sin2t=4sint+6 [0,2pi)

A: Answer and explanation is given below..

Q: Let z = x +3xy+ 2y . Find and

A: Given function is z= x^2 +3xy +2y^2

Q: 6x2 -4x 1. Find the first-order derives: I. y II. y = (2x3 + 7x – 14)5 %3D 4x2-8x+5

A: To find the first-order derivative of the given function using the quotient rule and chain rule…

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

A:

Q: Find L{t?e-4t - e-2tsin (v2t)}

A:

Q: (x - 3 bxy + 2 b?y?) (xdx + ydy) = xdy-ydx %3D

A:

Q: Find Z(D4).

A:

Q: Determine |z| if z =2−3i.

A: z = x +i*y |z| = √(x2 + y2)

Q: 1. Complete the square to write y = -2 x2 + 16 x – 21 in the form y = a (x - h)² + k

A:

Q: For the planer curve represented by the parametric equations x = 3t and y=t² + 5, what is the…

A:

Q: T. If TM 3y and TX 2y + 24, then Y

A: Given,  TM = 3y TX = 2y + 24

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: a. A random variable X has the following probability distribution: 0 x 18 5 x 18 10 x 18 15 x 18 20…

A: Given, X 0 90 180 270 360 450 P(X=x) 0.1 2m 0.2 0.1 0.04 0.07 Here,…

Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: If x ∗ y = 2x – 3y + 4xy, find the values of 5 ∗ 2 and 3 * 2/5.

A: The solution is as

Q: d da Compute (10-3x)*.

A:

Q: ×: Attend a 4-year college Px: 0.1 X: Attend a junior college Px: 0.2 X: Attend a technical…

A: 1) The probability distribution is given as follows: Event Probability Attend a 4-year…

Q: Find the inditial equation for xヴ X 9+2Xy+3yso

A:

Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: Find the multiplicative inverse of ( v2, -V5 ).

A: Solution

Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

A:

Q: .2 2 S²6²³ (2x + 3y) dxdy 0 Find

A:

Q: d The Value 2X-24-2 4x+3-22 3x+44-32

A:

Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: 1 2 A = 1 B 1 2 : , - compute AB 3 4

A:

Q: 2 1 dw włVw² + 3 -1

A: Given integral, ∫-121w4w2+3dw Find the value of this integral.

Q: Find the integrals using integration by parts. b. [ Vx In /xdx

A: Consider the given: ∫xlnxdxIntegration by parts:∫udv=uv−∫vdu

Q: xy – 3y + 3x² – 9x =

A: