5 4 3 + - + 6x - 4x + 8)e to Find the derivative of the function. y= (2x3 – 2x2 + 8x - 6)e ** O B. (6x5 - 6x4 + 24x3 – 12x2 - 4x + 8)e O C. (6x5 - 6x4 + 24x3 – 1872)e ** OD. (6x2 - 4x+8)e ** to
Given a probability model Y = 6x - 4x^2find the valid normalized PDF on sample space 0<x<1 a) use C(6x - 4x^2) and solve for C to find the solution b) use (6x-4x^2) and the normalization formula to find the solution
Which expression is a simplified form of -2x (-4x+3) 8x2 - 6x 8x2 + 6x - 8x2 - 3 - 8x2 + 3
1 of 4 he following integrals: .nx dx (parts) 4 2) [4x² In(6x) dx parts) 3) 1x*sin2x dx (parts) 4) ſcosº x dx (trig identity) 5) ſsinº x cos*x dx (trig identity) 6) ſcosº xvsin x dx (reduction) 7) ſcot* x dx reduction) 8) ſtan x secºx dx (reduction)
(a) i) For ∫(4x−4)(2x^2-4x+2)^4 dx (upper boundry =1, lower =0) Make the substitution u=2x^2−4x+2, and write the integrand as a function of u, ∫(4x−4)(2x^2−4x+2)^4 dx =∫ and hence solve the integral as a function of u, and then find the exact value of the definite integral. ii) Make the substitution u=e^(3x)/6, and write the integrand as a function of u. ∫ e^(3x)dx/36+e^(6x)=∫ Hence solve the integral as a function of u, including a constant of integration c, and then write...
6x? - 4x² + 2x - 7 lim - 273-16
7. Which expression is a simplified form of -2x(-4x + 3)? a. 8x - 6x b. 8x + 6x c. -8x - 3 d. -8x + 3
[11] Simplify the algebraic expression. (3x² + 2)(7)(x - 4) – (x – 4)?(32(3x’ + 2)?(6x). ((3x + 2))? [12] Find f(x + h) – f(x) with f(x) = -3x + 4x.
5x2+4x 6x+3 13. Add or subtract and simplify x-1
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx