(a) Express the area and perimeter of an equilateral triangle as a function of the triangle's side length. (b) If f(x) = x + v2 –r and g(u) = u + v2 – u, is it true that f = g? Justify your answer.

Q: Given the function g(x) = (x – 1)(z + 2)(z - 3) its g-intercept is its -intercepts are

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Q: The function f(x) = Vx – 2 + V4 – x is.

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Q: 1. What is the domain of the function f(x) = V 36 – x' ?

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Q: If f'(x) = 2x- x-2, then f has inflection point(s) with x – coordinate(s) equal to

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Q: The area of a rectangular garden is 125 square feet. The garden is to be enclosed on three sides by…

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Q: 2) Find the fixed point of the functions : A. f(x) = x² + 5x + 3 B. f(x) = x³ – 4x² + 6x – 2 C. f(x)…

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: A function f(x) = v1 – x² is

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Q: 6. The parent function f(x) = Vx is translated 2 units right, compressed horizontally by a factor of…

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Q: x²–1 If f(x) and g(x) = Vx – 1, which will yield (f 0 g)(x)? %3D r2

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Q: If f'(x) = x³ – 2x* + x³ + 2, then f has inflection points at

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Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

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Q: A company has determined that its price-demand function for its sale of its product is given by…

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Q: (B) Use the second derivative test to find the maxima and minima for f(2) = 22 - 15x + 1. 3 %3D

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Q: The quantity of the demand per month of a certain accessory is related to the price (in pesos) per…

A: Introduction: Differentiation has a wide range of applications in many fields of mathematics. One…

Q: 2. What is the domain of the function f(x) Vx + 4

A: we have to find the domain of the function. f(x)=x-2x+4

Q: Consider the function y = (x) where f(x) = x³ +2x2 - 4x and g(x) = x2 + 2. Determine a) the domain…

A: The domain of definition of a function is a set of those values for which we can define a function.…

Q: If a F (2) = xy+i (x² – y²), what is F (-1+2i)?

A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

Q: Find the value of a so that f(x)= x2 + a has a range of [-2, ∞).

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Q: 11b. Consider the function f(x)=5x* – 4x³ +4. Isƒconcave up or down at the point x = -0.2? A.

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Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = 0.002x…

A: Given that f(x)=0.002x4+0.025x3-0.364x2-7.243x+86.993 where x is the number of years since 1993 we…

Q: (a) f(x) = 2r3(3 – 4x)

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Q: Find the positive critical point of the function f (x) %3D x4 + 7 x =

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Q: 4. Given f(x) = v3 – e2, find the domain of f and f-1.

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Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: 2 Given that f(x) = 4x – 7 and g(x) = 4 – a?, calculate (a) f(g(0))=| (b) g(f(0))=|

A: Answer(a): The given functions are: fx=4x-7 and gx=4-x2. Then, the composition function is given as:…

Q: e. f(x) = 2* OA. O(x²) B. Q(x²) C. O(x²) В. f. f(x) = [x][x] (floor of x times ceiling of x) OA.…

A: Option (B) is the correct answer.

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

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Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: Given the function f(x) = (x – 4)(x + 5)(x – 2) its f-intercept is Enter a point [more..]| its…

A: The objective is to find x intercept and x intercept

Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

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Q: What is the value of In[f'(2)]if f (x) = e*?

A: Our Aim is to tell the value of ln f'(2) if f(x)=ex-(i)

Q: The derivative of the function f(a) a-8x +9 at the number a is %3D 2a – 8. - TRUE O FALSE

A: 1.Given,            f(x)=x2-8x+9

Q: 7. Find f'(x) for the function f (x) = V-3x4 – 2

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Q: What is f'(x) of the function f(x) = 4xy^3 if you consider y as a constant?

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Q: Find the absolute maximum value of the function. f(x) = 2(x – e*)

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Q: The derivative of f(x) 4 (22 +17x) is O -4c (2a + 17) O -4r 2(2x + 17) O 4x + 68 O 4x 2(2x + 17) O 4

A: Here, it is given that f(x)=4x(x2+17x) We need to find the derivative of the function f(x).

Q: Given that f(x) = 2x-2n + 8x², what value should be assigned to n to make f a function of degree 3?

A: Given f(x)=2x-2n+8x2. We need to find what value of n makes f(x) a function of degree 3.

Q: The fixed-points of f(x) = (x² + 2) a and

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Q: Find (f-1)'(a) for f(x) = V3x + 4 when a = 2. (Enter an exact answer.)

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Q: Find (f-1)'(a) for f(x) = V4 – 3x when a = 1. (Enter an exact answer.)

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Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: