Calculate the difference quotient for f(x) = x + x-' at a = 7. (Express numbers in exact form. Use symbolic notation and fractions where needed.) f(7 + h) – f(7) h Calculate f'(7) by finding the following limit. f(7 + h) – f(7) lim h-0 h (Give an exact answer. Use symbolic notation and fractions where needed.) f' (7) = Find an equation of the tangent line to f at a = 7. (Express numbers in exact form. Use symbolic notation and fractions where needed.) y =

Q: At x = 3 + Ax, the value of the function is f(3 + Ax) = 17 - + Ax Hence, (3 + A3²) -( 17 m = lim Ax…

A: Solution: The objective is to fill the required blanks

Q: Find lim Itcos 2X メ 니(x- 폰) 2

A:

Q: (x³ - 2x2 - 6+3x) 6. Evaluate lim- X-2 x- 2

A: To evaluate:                      limx→2 x3-2x2+3x-6x-2

Q: lim2

A: Explained below

Q: If 3x - 4 s f(x) sx2 - 3x + 5 for x 2 0, find lim f(x). x-3

A: Given, 3x-4 ≤ fx ≤ x2-3x+5              for  x ≥ 0 We have to find limx→3fx

Q: Find f(a), f(a+h), and the difference quotient for the function given below.

A:

Q: Use the graph of the function f(x) to answer each question . S(0) = (b) (c) (a) S(2) %3D S(3) = (d)…

A: The solution is given below in the next step: Looking closely at the graph following questions can…

Q: Find lim x→0 x² + 4 2e* + 1 The astrict respresents an x. Just…

A: We will find out the required limit.

Q: find a so that the domain of the function f(x) = -5x +sqrt{a-x^2} is (-3,3) a. 3 b. 9 c. -9 d.…

A:

Q: If g(x) is the graph of f(x), x^3, shifted right 2 units, write the formula of g(x)

A:

Q: for the function f(x)= (x+1)/(x^2+3), evaluate and simplify the following a. f(-1) b. f(2a) c.…

A: Explanation of the solution is given below..

Q: Refer to the graph of the function f in the following figure. T YA 6543 4+ -2- X = 2 1 (a) Find…

A: A graph of the function is given.We have to find the values of and find the value of for which…

Q: Find Lim f(x) = 2√x

A: Given function: fx=2x

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: For the function shown in the graph, find the indicated function value and limit. O A. Does not…

A: Consider the graph

Q: x*+x3 2. Calculate lim x→0 12x3+128

A: limx→∞x4+x312x3+128