For what value of k is f(x) continuous at x=3? f(x) = (x-1)(x-3) 9-x² 3k, x=3 " x!= 3 (when x is not equal to 3)

Q: Let f (*= {(8) +f(9) for real values of x and y. If f '(0) exist 2 2 and equals –1 and f(0) = 1,…

A: Introduction :

Q: Suppose that f(x) = f'(2) = -2 x6 Evaluate the following: ←

A: f(x)=-2x6d dx(xm)=mxm-1

Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: Identify which of the following statements are true. f(x) 7 7 (b) f'(x) True False f(x) 0 for x 7…

A: Given informationFunction f(x) with respect to x, and peak value of function at point 7 in given…

Q: The function f(x)=(2-x)/(3) is continuous at

A:

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

A:

Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

A:

Q: Find f" (x) if f (x) = 3(2x¹ + 2x² + 1)¹. 48 (2x³ + x) (2x² + 2x² +1)³ 48 (6x² + 1) (2x² + 2x² + 1)²…

A:

Q: Let f be the function given by f(x) = 4x³ - 5x² + 6x + 7. What is the value of f'(-1)? 28 O 12 CO

A:

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

A:

Q: let H(x)(1+x^2)^3. find f and g such that f(g(x))=H(x)

A:

Q: 3. Given that f(x) = -x³ + 4x- – . Evaluate the value of f"(-)

A:

Q: If f(x) = e, how many zeros does f'(x) have on the closed interval [0,2x]? (A) One (В) Two (C) Three…

A:

Q: 10) Find (¹) (3) if f(x)=x²+x-1.

A:

Q: Find ao of the function f(x) =( – x)? %3D | O 5 T^2/6 5 T^2/12 O n^2/6 TI^2/12

A: Value of ao in the Fourier series