A rectangle that is x feet wide is inscribed in a circle of radius 11 ft.11 ft.   ​a) Express the area of the rectangle as a function of x. ​b) Find the domain of the function.

Q: Given the function f(x)=4x3-39x2+90x +2, which of the following describes its absolute interval [1,…

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Q: Consider the function defined on the indicated interval. f(x) = 2x – 30x + 144x – 220, [5, 8] %3D…

A: To find maximum and minimum of the given function in interval [5, 8] fx=2x3−30x2+144x−220

Q: If f(x) = esin(#), find f'(x)?

A: Given that         f(x) = esin x  Here we have to find f'(x).

Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 9x + 8,…

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Q: Find the difference quotient of f; that is, find f(x + h) - f(x) / h , h ≠ 0, for each function. Be…

A: Given that, fx=4x+3

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: y = Sen4x

A: True explanation is given below

Q: The absolute maximum of the function f(x) = 312 + 3x+ 12 over [1, 7]. %3D O 180 O 79 O 198 O 32 O…

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Q: Find the difference quotient of f; that is, find f(x + h) - f(x) / h , h ≠ 0, for each function. Be…

A: f(x)=2xx+3

Q: On what interval is this function negative? f (x) = (x – 4) –1

A: We have to find

Q: Determine whether  the following statement is true or false, and explain why. If ƒ′(x) >0 on an…

A: Given, f'(x)=0 since f'(x) represents slop[e of a function ⇒slope is positive

Q: Determine whether each of the following statements is true or false, and explain why :If ƒ′(x) >…

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Q: Find the difference quotient of f; that is, find f(x + h) - f(x) / h , h ≠ 0, for each function. Be…

A: The function given to us is  f(x) = 3x2 + 2

Q: 3

A: Given that: The length of the function isfx=251-2x Substitute the value x=3 in the given function,…

Q: could you help please help with these questions. Thank you

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Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: in this first we will find side of the box and then  Volume of the box = length × breath× height

Q: ■ Find a formula for the described function and state itsdomain.47. A rectangle has perimeter 20 m.…

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Q: Consider the function below. f(x) = Vx - 16x + 48 %3D What is the Domain? Enter your answer in…

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Q: Write the domain of the function f(x) = arccos(æ), using interval notation, in the space below.

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Q: Give a possible formula for the function. f(8) = tan (x) Edit -Im-

A: The given graph shows the graph of tan(x):

Q: Differentiate the function with respect to the independent variable. f(x) = In (5- 3x?) f'(x) =D

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Q: Use the given function f to answer parts (a) through (f) below. f(x) = - 3+ In x

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Q: From a 27-cm by 27-cm piece of cardboard, square corners are cut out so that the sides can be folded…

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Q: Differentiate f  and find the domain of f .

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Q: A pool measuring 20 meters by 10 meters is surrounded by a path of uniform width, as shown in the…

A: Given information: A pool of rectangle size of length 20 m and breadth 10 m, Surrounded by a path of…

Q: 4x 82. f(x) = X - 3

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Q: Given f(x) = Vx and g(x) = |x – 2|, find 9. Determine the domain of the function in interval…

A: Given function :

Q: A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle…

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Q: Find the difference quotient of f; that is, find f(x + h) - f(x) / h , h ≠ 0, for each function. Be…

A: Given : f(x)=1x2   Use different quotient formula f(x+h)-f(x)h Lets find f(x+h)…

Q: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 36…

A: Given that:   (1)                                                (2)

Q: Find the domain of the following function. f(x) = V3x – 45 (Зх — Give your answer in interval…

A: Given : fx = 3x-45

Q: Write the domain of the function f(x) = arcsin(æ), using interval notation, in the space below.

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Q: express the set of numbers x satisfying the given condition as an interval.       lxl ≤ 9

A: Given: x≤ 9 Express x≤ 9 in terms of interval

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Find the maximum area of a rectangle that can be circum -scribed about a given rectangle with length…

A: the outer figure is a rectangle so, the angles will be the right angle

Q: Consider the function f(x) below. Over what interval is the function concave down? Give your answer…

A: Consider the function: fx=4x3−6x2−x+10Differentiate w.r.t. "x",f'x=12x2−12x−1Again differentiate…

Q: Find the domain of the function in interval notation: f(x) = V + 17 %3D

A: Domain is the set of x values for which the function is defined We know that square root (negative…

Q: The domain of f' is 1 (Type your answer in interval notation.)

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Q: f (x) = X+10 x²+3

A: The given function,       fx=x+10x2+3

Q: From a 12-cm by 12-cm piece of cardboard, square comers are cut out so that the sides can be folded…

A: The length side of the box is 12-x-x =12-2x cm So the area of the box is (12-2x)2 cm2 Here height of…

Q: For the given function, where is it concave up and concave down? Give your answers in interval…

A: h'(x)=2(e^(-3x) -3xe^(-3x)) h"(x)=2(-6e^(-3x) +9xe^(-3x)) h"(x)=0 2(-6e^(-3x)+9xe^(-3x))=0 -6+9x=0…

Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: In what degree of homogeneity is the function x + 4y

A: The given function is x+4y To find: degree of homogeneity of the given function.

Q: Use the given graph of the function to find the x-values for which f is discontinuous. Answer…

A: Graph of function is

Q: Find the domain of the function f(x) = √7x − 3 - In interval form, the domain of fis Cubr

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Q: Given the function f(x) = -, calculate the difference quotient X f(x) = f(a) x - a

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Q: absolute extremum of the function on the given interval.

A: Absolute Extremum:- Suppose f is function on interval a,b then,i the y-value fc is an absolute…

Q: The notation f(x) describes the value of at

A: The notation f(x) describes the value of_________ at _______.

Q: Find the indicated function and write it's domain in interval notation.  n(x)= x-5, p(x)=x2+6x,…

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