A box has a base where the length is three times the width. The height of the box is 5 times the width. Find a function for the surface area in terms of the width.

Q: If the car is to be rented for one day, express the total rental expense as a function of the number…

A: Given that a car is rented for one day and is charged $0.45 per mile driven. If x miles are driven ,…

Q: Differentiate the function.

A:

Q: volume

A: Please refer to the image below

Q: The height in feet reached by a baseball tossed upward at a speed of 48 feet/second from the ground…

A:

Q: When x = 200, the cost C (in dollars) is $4,080.00. (a) Find the cost function.

A: Given data: The given expression for the marginal cost is dCdx=20xx2+1,616. The given value is…

Q: Graph the function Why is ƒ(x) called the integer part of x?

A:

Q: What is the domain of the function? Vx+2

A: Solution: The objective is to find the domain of the given function

Q: Differentiate the function.  f(x) = 240

A: Given function is

Q: The area of a rectangular floor is 1000 square feet. Express the perimeter of the floor, P, as a…

A: Let x be the width and y be the length of the rectangular floor. Given that the area of a…

Q: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

A: You have 400 feet of fencing to enclose a rectangular lot and divide it in two by another fence that…

Q: The perimeter of a rectangle is 422 inches. If the rectangle is x inches long, find a function for…

A: Let us assume a rectangle with length x inches and breadth y inches.

Q: Find the zeros of the function.

A: Our Aim is to find the zeros of the function given below:-r(x)=-12x2-24  -(i)

Q: The revenue from the sale of a product is given by the function R= 289x -x. Selling how many units…

A: To find the number of products to be sold for positive revenue

Q: A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four…

A:

Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: We are given the total cost can then be defined by the function C(x)=800+60x and the average monthly…

Q: Differentiate the function. y% = (5x + 1)5

A: If y=ax+bn, then dydx=na(ax+b)n-1 (By using chain rule)

Q: The number of residues of the function f(2)= (2+1)(2²+4) are

A: Number of residue is to find the number of zero's of the denominator of the rational function after…

Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: David has 400 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of…

A: To find the area

Q: A shipping crate has a square base with sides of length x feet, and it is half as tall as it is…

A: Square base, with sides of length x feet, and it is half as tall as its wide.

Q: our cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

A: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan. The total…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the…

A:

Q: A rain gutter is made from sheets of aluminum that are 20 inches wide. As shown in the figure…

A: Width of aluminium sheet is 20 inches The edges are turned from both sides by x inches. The cross…

Q: Express the side length of a square as a function of the length d of the square's diagonal Then…

A:

Q: The depth in feet, D, of a scuba diver can be modeled by the function D(x) = -x + 12x + 4, where x…

A:

Q: y = Vx²–3x

A:

Q: Graph the function f(x)=2sin(30)

A: Topic- function

Q: Differentiate the function y = e0.3t

A: This question is related to differentiation, We will solve it using given information.

Q: Rick's lumberyard has 380 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: The lumberyard is having 380 yd of fencing which means the perimeter of lumberyard is 380 yd. Length…

Q: the perimeter of a rectangle is 190 inches, if the rectangle is x inches long, find the function for…

A:

Q: per er The perimeter of a rectangle is 32 cm. Express as a function the area A of the rectangle in…

A: Please refer to the image below

Q: The function f(x) = 4(2)x models the length of an image in centimeters after it has been enlarged by…

A:

Q: Differentiate the function.snip4

A:

Q: h (x) = x" – xV2

A: We have to differentiate the function: hx=xπ-x2 We know the formula of differentiation,…

Q: Suppose you plan to take a 500-mile trip ina car that gets 35 mi>gal. Find the function C = f1p2…

A: Please refer to the image below

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

A:

Q: The volume of an open rectangular box is 64m3. The length of its base is twice its width. Express…

A: Solved below

Q: Differentiate the function. h(x) 13 csch (x3) Give your answer in exact form. 39x2 39х h(x) = 6 х

A:

Q: Express the side length of a square as a function of the length d of the square’s diagonal. Then…

A: Let x be the length of a side, d be the length of the diagonal and A be the area of the square.Now…

Q: The usual boat fare rate from Boracay to Private Island (which is a 4-km ride) is USD 6.0 So, if a…

A:

Q: What is the area A of a circle expressed as a function of its circumference C?

A: Our Aim is to express the area A of a circle as a function of its circumference C=?

Q: The size of the raccoon population in a park increases  at 4.9%, with a current population at 119,…

A: To find the population of raccoons in 6 years.

Q: -20 in.- 14 in.

A: Question is solved.

Q: An open-top box is made by cutting equal squares of side x out of the corners of a piece of carboard…

A: Given that an open top box is made by cutting equal squares of side x out of the corners of a piece…

Q: D( (x? + 2x + 3 )87 )

A: Given : Dx2 + 2x + 387

Q: Differentiate the function.

A: Given:y=1+xe-2x The formula of differentiation is  ddxxn=nxn-1 Use chain rule and product rule to…

Q: Your cell phone carrier is offering you a new iPhone 12 for $800 with a $60 monthly plan.  The total…

A: We are given with the total cost for the iPhone and we are also given with the average monthly cost…

Q: The number of hours that people in the Philippines spent using the internet from 2000 to 2020 can be…

A:

Q: Suppose that the revenue from selling x radios is R(x) = 75x - dollars. Use the 10 function R' (x)…

A: Here, the given revenue function is: Rx=75x-x210

Q: Differentiate the function.   f(x)  =240

A: We have to differentiate the function: fx=240 We know that differentiation of any constant is zero.…