64. Suppose that 3 < f (x) < 5 for all values of x. Show that 18 < f(8)- f(2) < 30.

Q: How does the function behave as lim x → 3- for 7/(3(x-3)(5-x))?

A:

Q: 2. Select the best answer below: lim (2x-13 X (-1)* O -2 O does not exist

A: We have to find the limit and select correct option

Q: Solve for the limits of the following functions. Show complete solution.

A:

Q: 2. Construct a table of values to investigate 1 if x -1

A:

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].

A:

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: 4. If f(x)dx = (x + 1)ln(|æ|) + C, what is f(x)? (To write absolute value, write abs(x). Do not…

A:

Q: Let f(x) = x7 Then f'(x) is 5æ5 + 3x³ – 3æ – 4. За — - - f'(3) is f' '(x) is and f''(3) is

A:

Q: What are the limits when x approaches 2-Let f(x ) = 1 / (x-2)

A: we have to evaluate the limit

Q: -x²+5 < f (x) < x+1 2

A:

Q: For f(x)=3|x| does the Mean Value Theorem apply on the interval [-2, 2] and why?

A:

Q: If (x, y)lim(2, 3) f(x, y) = 4, can you conclude anything about f(2, 3)? Explain.

A: Assume the function z = f(x,y).First observe the value of the limit for x followed by y.

Q: If the limit of f(x) as x approaches 2 is 4, can you conclude anything about f(2)? Explain your…

A: Now conclude about f(2)  Here take example  Now we need to find limit

Q: If the limit of f(x) is 1 as x approaches 1 and the limit of g(x) is infinity as x approaches 1,…

A: we have to find the limit of the following

Q: Use the limit definition of the deriviative to find f'(x) if f (x) = 3x2 – 2x + 4

A:

Q: 2. Write the equation of a function that is discontinuous at x=5, but lim f(x) exists, and is…

A:

Q: to if iz fx) < x (x)_ +4x+4,for allx, find Lim f(x)

A:

Q: Compute f'(x) using the limit definition if f(x)=(13x)-1/2 +13

A: The function is given by,

Q: What is the limit when x is approaching negative infinity when the function is (8x+2) / (4x-5)

A: Given

Q: 2. Will the limit of all polynomial functions / (x) as x approaches a be always equal to the value…

A: Find your answer below

Q: ppose we know that f(x) is continuous and differentiable on [2, 14], with f(2)= -5 and f'(x) <= 10.…

A: Given data:   The given interval is [a,b]=[2,14]. The given value of f(2) is f(2)=-5. The given…

Q: It is a fact that the function f(x) = x² + x + 3 – x has a limiting value. Use a table of values to…

A:

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: 7. True or False The cube root function is odd and is decreasing on the interval (-x, o).

A: True or False The cube root function is odd and is decreasing on the interval (-∞, ∞).

Q: 2. In a population of N = 10 scores, the smallest score is X = 8 and the largest score is X = 20.…

A: According to the provided information, the smallest score is 8 and the largest score is 20

Q: 7 Find f(x) given that f (1) = =-- –- and f'(x)= 2x² 4. X. 23 114

A:

Q: 16. If f(x) = 2x – 1, what is lim x+h h B. - С. —2 D. 2 NIN

A:

Q: lim 2x* - 8x + 16 x--2

A: Given limx→-22x4-8x+16 =2(-2)4-8(-2)+16=2(16)+16+16=32+32=64

Q: 8. Evaluate the limit of (4x^2-x)/ (2x^2+4) as x approaches a. a. 2 b. 4 с. а

A: We have to find limit.

Q: The limit of f(x) = sqrt x as x approaches 9 is Infinity 3

A:

Q: What is the limit of the function f(x) = x ^2 + 2x at the value a = −1?

A:

Q: Suppose f(æ) = |x| · x Then f-l(x) = if æ > 0, and f-'(x) = if x < 0.

A: given that fx= x.xfind f-1x for x≥0 and x≤0

Q: For f(x)=(x^2+x−2)/(x+2) does the Mean Value Theorem apply on the interval [0, 2] and why?

A:

Q: Is it possible to determine f(7) if f(x) = 3 for all x &lt; 7 and f is rightcontinuous at x = 7?…

A: Solution: Consider the given that f(x) = 3 for all x &lt; 7 f is right continuous at x = 7  The…

Q: 8- When f(x)-x' the value of error of Simpson's rule becomes .........

A: 8.) f(x)=x2f'(x)=2xf''(x)=2f'''(x)=0f(4)(x)=0

Q: Given the function of f(x) = -3 – in the interval [-8, –2], find a point x = c between -8 and -2 so…

A:

Q: Show whether f(x) is continuous (3х-2 f(x)={ x-2 x² -4 for x=- for x+ -

A: Given that, f(x) = 3x - 2; for x = - 2 f(x) = (x + 2)/(x^2 - 4); for x not equal to - 2 So when x is…

Q: What is the limit as x approaches 9 when the function is (sqrt of x minus 3) / (x-9)

A:

Q: 3. lim (4x2 – 3x + 3) x--1

A:

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: Estimate the one-sided limits for the function below.  f(x)=(11−x)/(x−8)^2

A: Given:

Q: Find the limit of f(x) = 9x+9/8x+8     as x approaches infinity and as x approaches negative…

A:

Q: Q3: Evaluate the following limits 1- lim(x2 + 5x) x-2 (x+1) 2- lim x--1 (x²+6x+5)

A: To evaluate the given limits

Q: if x + 3 Q3: Let f(x) = show that f(x)is continues at x 3 %3D ifx = 3

A: Continuity Definition: A function f is said to be continuous at a point a if  fx has a definite…

Q: Decide if the inequality 4x – 5 < f(x) < x² provides sufficient information to determine the limit…

A: NO, the inequality doesn’t provide sufficient information.

Q: Need help solving the equation that is attached

A: x-&gt;4^+ means x is slightly greater than 4. That means we have to use the part when x&gt;4 to find…

Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

A: