64. Suppose that 3f(x)5 for all values of x. Show that 18

Q: 2° – 22° – 5 .6 Find f'(z) if f(x) Be sure to express your answer using positive exponents and…

A: Given that  f(x)=(2x^9-2x^6-5)/x^3  To find the derivative of f(x)

Q: What is the value of h(n) when n = 1 in the piecewise function, h(n) = 2n + 1 if n > 0 and h(n) =…

A: A piecewise function f(x) has a different relation between x and y in different domains of x as per…

Q: Suppose tnat! for x 6

A:

Q: 13. When is a polynomial f(x) of at most the order of a polynomial g(x) as x→∞? Give reasons for…

A:

Q: Q5:- Evaluate the following limits 3x4-3x2+5x-9 1. limxo 7x4+3x3

A: Solution

Q: Find the domain of f(x)=x² for 0<x<5. O (1,25] O (0,25) O [0,25] O [1,25)

A: Given: The function is fx=x2 for 0≤x≤5. To find: The domain of the given function. The given options…

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A:

Q: Suppose that 2 <f'(x)< 4 for all values of x. Show that 12 < f(8) – f(2) < 24

A:

Q: Determine the global extreme values of the f(x, y) = 10x – 4y if y > x – 6, y > -x – 6, y < 6. (Use…

A:

Q: Suppose that p(x) = {24 + x, if x< 2) | 1+x², if x 2 2 Find a value of A such that the function p(x)…

A: Given query is to find the value of A.

Q: 8. Explain why the power rule cannot be used to differenti- ate the function (2 – x) 1/3.

A: To explain: The reason that the power rule cannot used to differentiate the function 2-x13. Concept…

Q: If f(x)=5⁢x3, evaluate f(2⁢s).

A: The given function is

Q: Evaluate the limits. 2.x2 – 3 x 1

A: fx=2x2-3x&lt;-12x3+3-1≤x≤12x2+3x&gt;1 We need to evaluate the function at the defined limit

Q: Suppose that f: R20 R20 is defined by f(x) = x². What can we say about f? →

A: Sol:- Given :- f:R≥0→R≥0It is clear that doamin of Function fx ≥0 and Range of function fx is also…

Q: If f(x)=x^2-3x+5, then f(10)=(x^2-3x+5)(10), is this true or fals

A: If f(x) = x2-3x+5 then f(10) =(x2-3x+5)(10)This is false

Q: 7ェ +8 If f(x) = find: 4x +3 f'(x) = !! f'(4) =

A: The objective is to find f'(x) and f'(4).

Q: (a) Someone has claimed that since 14 is itself a multiple of 7, then there are more multiples of 7…

A:

Q: 9. State the domain of [fogl(x) for f(x)=√x - 2 and g(x) = 3x.

A:

Q: I do not know how to do this question or even what it's asking for.

A: Consider the given function,

Q: domain of f(x) = 2 x + 1 is { -2≤ x ≤3}, which integer is NOT in the range?

A: I

Q: x + 9 for x -5 Find f(-7)

A:

Q: Suppose that f(0)=−4 and f′(x)≤6 for all values of x. Use the Mean Value Theorem to determine how…

A: Here given  f′(x)≤6 for all values of x. Thus there exist c between 0 to 4 such that f'c≤0

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

A:

Q: Suppose that f(x) = /'(-2)- - f'(1) = 6x + 16 X Evaluate each of the following:

A: we have to find derivative at a point

Q: Theorem for the fun 50 f(x) = x +, (2, 25]

A:

Q: Find the domain: f(x) = In(3 – x).

A: A function is a relation which maps each element in its domain to exactly one element in its range.…

Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: finsd f(x), if: Ofメ - x 4メー1。

A: It is simple differentiation.

Q: Use the IVT to show that f (x) = x3 + x takes on the value 9 for some x in [1, 2].

A:

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

A:

Q: Suppose that f( – 4) = 4 and that f'(x) = 4 for all x. Must f(x) = 4 for all x?

A:

Q: 4. Given that f'(x) = −6x² + x + 12 and f(1) = 7, find f(x).

A: Given : f'(x)=-6x2+x+12f(1)=7   To Find : f(x)

Q: 1 Evaluate the limits 1im - x+2 X* 1/4 1/2

A:

Q: Explain why L100 ≥ R100 for f (x) = x−2 on [3, 7].

A:

Q: -2 if x – 19

A:

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: 1 Suppose f (x): x2. Evaluate: +4 -2 A

A:

Q: 48. If f(2) = 10 and f'(x) = x²f(x) for all x, find f"(2).

A: Given f'(x)=x2f(x)We know that (uv)'=uv'+vu'f''(x)=2x*f(x)+x2f(x)

Q: 12. When is a polynomial f(x) of smaller order than a polynomial g(x) as x→00? Give reasons for your…

A:

Q: 3 Let f(x) : 4x + 6

A: f(x)=34x+6=3(4x+6)-1 ddxxn=n xn-1

Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

A:

Q: Let f(x) = [-2₂ if x −2

A:

Q: 4. If the domain of f(x) is -35x59 and the range of f(x) is 25ys15, then which of the following…

A: Here we can use the concept of transformation of function as for given function f(x) the…

Q: 2. Evaluate f"(x) for f(x)=(3x²-7x+4)"

A:

Q: — Зх — 6 for x 5

A: To plot the piecewise function for y = f(x) We have two lines y = -3x-6 for x&lt; -3 y = 6    for x…

Q: Suppose If(x)-7| 0 such that |f(x) – 7| < 0.1 whenever 0< |x - 1 < 8. The values of 8 are 0<8sN.…

A: Given that fx-7&lt;0.7 whenever 0&lt;x&lt;7.

Q: 14) The domain of f(x) = is 6. /x-1

A: Consider the function

Q: 4. Suppose that f(2) = 16 and that f'(x) > – 3 for all x in the interval [2,7]. Determine the…

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Q: - 3 Let f(x) = 8° / + 825. f'(x) =

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Q: 5 + x, if -T <x<0 - x, if 0<x < A f (x) ||

A: