) Derive f(x): = 26-1+1 x6 +x+1

Q: Find the value of “a” if (x1/3)(x3/4) = xa

A: Use Formula  (xm)(xn) = x(m+n)  When the two terms are in Multiplication and their bases are same…

Q: Let a > 12 be a constant. Evaluate 4x2 + 32x + 40 + 2a dx (4x + a)(x² + 6x + 10)

A:

Q: Let x + 5 f(x) = x + 10 f-(- 4) =

A:

Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

A:

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: Differentiate the following functions: a) y = (-5x-7)³ b) y = 7-2x² 2x+1

A:

Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: express f(x) =x³+2x²-x-3 , in term of lagendre polynomial

A: To express the given function f(x)=x3 +2x2 -x-3 in terms of Lagendre polynomial.

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: d.

A:

Q: DERIVE THE F. FUNCTIONS: s) y (x-3)(3x+4)(x²-2x+ 1)

A:

Q: If f(x) = 3x- x^2+2, find the value of: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f(3/2)

A: Given: fx=3x-x2+2 To find: a.) f(0) b.) f(3) c.) f(-3) d.) f(-7) e.) f32

Q: { if -3 x 2 x 1 f(x) 5x - 8 if x > 2 Domain:

A: To describe the set of points x , for which f(x) is well-defined.

Q: Find f(-7) if (x)=2x+8

A: Given  f(x)= 2x+8  we use substitution method to find value of f(x) at x= -7

Q: Evaluate f 100xdx (x-3)(x²+1)²·

A: This is a problem related to integral. Please follow the procedure given below.