An open-top box is created by cutting out corners from a piece of cardboard as pictured below. Find a function that models the surface area as a function of x.

Q: Differentiate the function.

A: We will use the chain rule

Q: Jxzy³ = 5 %3D

A:

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

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Q: determine where the function is concave upward and where it is concave downward  F(x)= 5 cube root…

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Q: Differentiate the function with res f(x) = (x* - 3x) 3 f'(x) =U

A:

Q: From a 6-cm by 6-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: Express the area A of an isosceles right triangle as a function of the length x of one of the two…

A: We have to express the area A of an isosceles right triangle   We have to write area as a function…

Q: What is the domain of the secant function?

A: Secant function , Sec xWe know        Sec x=1cos xTo find domain Put cos x=0

Q: d (x+;

A: Here we use chain rule of differenciation.

Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A:

Q: The surface area of an enclosed rectangular prism with a square base is 144 square centimeters.…

A: Suppose length , breadth  and height of rectangular solid(Cuboid) be l , b and h .Then ; Surface…

Q: The volume V of a right circular cone is V = (1/3)πr 2 h. If the height is twice the radius, express…

A: We have to express the volume V of a right circular cone as function of r if height is twice the…

Q: Find where the function is continuous, but not differentiable..

A: Given,

Q: Differentiate the following function. y%3De y' = le**

A:

Q: Determine where the function f(x) is continuous.

A: The given function is , fx =x-8

Q: A pebble is embedded in the tread of a rotating bicycle  wheel of diameter 60cm. If the wheel…

A:

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

A: Given: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be…

Q: y= +1) %3D

A: Given y=x(x2+1)4 Differentiate with respect to…

Q: Find the length of BD using the function you said above. Show your work

A: Solution Question 3 Given, ∆ABC with altitude BD , AB = 16,  BC = 8, ∠BAC = 30°, ∠BCA=60°  and…

Q: Find the area of the region enclosed between f(x) = x² + 2x + 6 and g(x) = 2x² – 2. %3D Area =…

A: We need to find area.

Q: x+1 3 y = x–1

A: Given:  y=x+1x-13    Differentating with respect to xdydx=ddxx+1x-13        =ddxx+13x-13      Using…

Q: Differentiate the function y=(√x−1)(√x+1).

A: Given: y=x-1x+1

Q: From a 9-cm by 9-cm piece of cardboard, square comers are cut out so that the sides can be folded up…

A:

Q: The volume V of a right circular cone is If the height is twice the radius, express the volume V as…

A: The height is twice the radius

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: Find and sketch the domain of the function In(x + y) f(x, y) 1– y?

A: From the given information. The function in x and y is as follows. fx,y=lnx+y1-y2

Q: Find the area of the region enclosed between f(x) = x² + 5x + 18 and g(x) = 2x2 + 2x. Area = (Note:…

A: Explanation of the answer is as follows

Q: . What effect does a vertical stretch or compression have on the y values of a function? What effect…

A:

Q: Find the imaginary part of an analytic function whose real part is e* (xcosy - ysiny).

A: it will be satisfy CR law equations

Q: a box with a square base and no top has a volume of 100cubic cm. If the material for the 4 sides…

A: Given that, the volume of the box is 100 cubic cm, the material cost for the 4 sides is 8 cents per…

Q: Find the local extrema of the following functions

A:

Q: Express the area Aof an isosceles right triangle as a function of the length x of one of the two…

A:

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: Differentiate the function. 1 f(x) = In .4 %3D f'(x) = %3D

A:

Q: A closed rectangular box with a square base has a volume of 8000 cubic centimeters. Express the…

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Q: Find an analytic function whose real part is e-x (xsiny+ycosy)

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Q: The volume of a rectangular prism with a square base is fixed at 500 cm3. Determine the surface…

A: We know that volume of a rectangular prism is the product of area of the base and the height of the…

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: find domain of Function composition f(x)=,

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

A:

Q: Differentiate the function y = (x + 8) In (x +8). y' = %3D

A:

Q: 1, the area A of a circle as a function of its diameter d; the area of a circle of diameter 4 in.

A: Area of the circle = πr2............................................(i)                   radius =…

Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

Q: Differentiate the function with respect to y. A Z = + Bey z' = уб 6

A: Given is the function  z=Ay6+Bey Differentiate the function with respect to y and with respect to t…

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

A:

Q: Identify a horizontal or vertical stretch or compression of the function f(x) = x %3D by observing…

A: Given gx=4x3

Q: The figure shows a page with 1-inch margins at the top and the bottom and half-inch side margins. A…

A: Let the length and width of the printed page be y and x, respectively. Given printed area of page is…

Q: Match the shaded region that would describe the domain of the function z = F(z, y).

A:

Q: For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular…

A: Given that: Volume of the container = 28 in3