uppose f(4) f'(4) g(4) 4 -7 g'(4) = -8 and that f'(x), g'(z) are continuous for all . (f(z)-4)² lim z++4 (g(z)+7)² O Cannot Be Determined

Q: For the function f(x) (X^2-3 if -3 ≤x2 C) is f continuous at x=2? D) does lim f(x) exist at x->4^-?…

A:

Q: Consider these 2 functions f(x) = fex ifxco 1+/6x² if x>0 g(x) = e¯* In (f(x) −2) What is the domain…

A: The functions are

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

A:

Q: How would you denote ƒ' (−1) if ƒ(x) = x² + 3x +2? f(x)-f(-1) x+1 limħ-1 limä→-1 limh→0 limh→0…

A:

Q: Let g(x) be a continuous function and let g(") (x) be the n-th derivative of g(x). Find an example…

A:

Q: True/False: If the domain of f(x) is all real numbers and f'(x) <0 for all x, then lim as x goes to…

A: Consider fx=e-x so domain is all real numbers.  Also, f'x=-e-x&lt;0.  Calculate the limit…

Q: T(1,₂)=(-221-272, 21-22,) is a linear transformation from R2 into R2. Find the standar nvertible.…

A: Given linear transformation is T(x1, x2) = (-2x1 - 2x2, 2x1 - 2x2). Find the standard matrix.

Q: 2. If f(x + y) = f(x) f(y) and if lim (h)-1 6, then f'(x) = = h

A: Introduction: The slope of a tangent line to the curve at any point is expressed by a function's…

Q: if f(5) = 4, f'(5) = 7, then lim of (f(x²+1) -4)/(x²-4) = ?? when x goes to 2

A: Please see the answer below.

Q: i) f'(2) = 0 and f" (2) < 0 ii) lim-0 16+h)-15) iii) lim, +x f(x) = 2 iv) f(0) = -2 v) lim, 40 f(x)…

A: We can use the concept of function in order to solve the given application of derivative is also…

Q: f(x)-f(7) B) If f'(7) = 5 then find the lim x+7 Vx - V7

A:

Q: Evaluate the lim h->0 (f'(5+h)-f'(5))/h

A: Given limit is : limh→0f'5+h-f5h To find the value of the limit.

Q: Use Euler's method to approximate the given value of y(t) with the time step h indicated. Make sure…

A:

Q: Let f be a function with continuous f" such that f(3) = 0, f'(3) = 2, and f"(3) = –1. Evaluate the…

A: use L Hospital Rule to find the given limit.

Q: f (x+Ax)-f(x) f'(x) if f(x) =- x by applying f(x) = lim Ax-0 Ax

A:

Q: Limit as x approaches 2 of (x3-8)/(x-2)

A: Obtain the value of the limit as follows.

Q: e graph of y = f(x) is shown. Assume f'(x) is continuous. 8 7 6 5- 4 3 2 -7 -6 -5 -3 -2 -1 nd xf(x)…

A: Given query is to find indicated limit.

Q: How would you define f(2) in order to make f continuous at 2? limx→2 x^3-8/x^2-4 show ALL of your…

A: Let's solve limit problem.

Q: Could the limit as xà1 of f(x)=(x+sinx)/(1+x+cosx) be found simply by substituting 1 into the…

A: Given function f(x)=(x+ sin (x))/(1+x+ cos (x)) Now we will evaluate limit of f(X) as X tends to 1…

Q: Sketch a possible graph of a function that satisfies all of the following conditions: f'(2) = 0,…

A:

Q: 1. + + -1 1 2 3. a. Use the graph to explain why, for h > 0, f(a – h) – f(a) -h f(a + h) – f(a) <…

A: The formula for f’(x) for f(x) = 2x is given asddxax=axlnaif a=2 then:ddx2x=2xln2f'x=2xln2

Q: Suppose f(-2)=0 g(-2) = 0 f'(-2) 5 g'(-2)=1 = and all functions are continuous. f(x) lim Z-2 g(x)

A: The given values are .To find the limit .

Q: if f' is continuous, f(3)=0, and f'(3)=7, evaluate lim x to 0 f(3+5x) + f(3+6x)/x

A: