3. Differentiate. a) M(u) (1- 4u²)(u+2) b) g(x) = (-x+ 3)(x-10)

Q: Let P(x) be the statement "x spends more than five hours every weekday in class," where the domain…

A: Given that P(x) : x spends more than five hours every weekday in class. (a) ∃xP(x) This can be…

Q: d) f(x) (-5,8) = = x² - 1 3x - 40 Domain:

A:

Q: Show that A×(BxC) + Bx(CxA) + Cx(AxB) =0.

A: We have to prove that LHS=RHS

Q: 3(x + 15) = 12

A: We have 3(x+15)=12

Q: 3(x + 5) = 18

A:

Q: Suppose y = (x² + 3æ)(x – 2)(x² + 1).

A: Given y=x2+3xx-2x2+1  We solve this by using product rule  ddxuv=udvdx+vdudx

Q: log (x*+3x +9) = 2

A:

Q: () X3+ 2x2 t.

A:

Q: e) Solve [(-x'y)² + (x²y)³]²

A:

Q: 2. (3x+5)+(2x – 3)

A:

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: what is the constant of of x2-4x-5=0

A: Given, x2-4x-5=0

Q: 2x (i) da 1+z?

A:

Q: 2sin(2x)=√3

A:

Q: 13. What is the distance travelled by a passenger plane in (12x + 9) hours whose speed is (12x –…

A:

Q: Find 00 x² (x²+4) (x²+2x+2) dx

A:

Q: V2x

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 2. loq, (5xf4)=3

A: To find the value of the x.

Q: Let r(x) = 8x - 5 7x +9 x) = (-5x-5)/(7x-8) Find and simplify

A: Given query is to find inverse t.

Q: ×ャ3 4x2_8x+3 2.) x2+3x -4ノ 2x3 + Sx? -1x+6

A:

Q: Evaluate 9x 9 (2x - 3)(x + 3) T -dx +C

A:

Q: 1. Differentiate: y = 3(²-1) A. (In 3) 3(x²-1) C. 2x (In 3) (3x²-1) B. (2x) 3(x²-1) D. x²(In…

A:

Q: 2xdx J2 x²-4x+8

A: Solution :-

Q: 6(x+4)=42

A: The given equation is 6x+4=42. Solve the equation 6x+4=42 for x as shown below.

Q: 2. (X +m)²

A: This is a improper integral. Here we use the limit to solve the integration.

Q: Find the center and radius of each circle.

A: Center is (-1,-6) with radius 4