Solve the following problem using both an area model and partial products. 365×68

Q: The length of a rectangular prism is quadrupled, the width is doubled, and the height is cut in…

A: Given that, the length of the prism is quadrupled, the width is doubled and the height is cut into…

Q: (2²–4)² 2x2 +3

A: 2. ∫dx(x2-4)23. ∫2x2+3(x2+1)2dx

Q: Find the general antiderivative for x^7- 6x + 8.

A:

Q: A piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: Express the following in Partial fractions 9x2 + 48x + 18 (2x +1)(x2 + 8x + 3) Question

A:

Q: find the dovivative %3D x+6

A:

Q: 2. If the area (A) of the rectangle is (4x³ + 5x + 7) and the width (W) is (x + (Z + 4)). Find the…

A:

Q: Give the antiderivatives of 4x 3

A: Our Aim is to give the antiderivative of 4x3.

Q: The new owner of an apartment wants to install a window in the shape of a rectangle surrounded by a…

A: The total amount of wood owner has is equal to the perimeter thus add the add the two sides of the…

Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

A: A piece of wire 10m long and cut into two pieces One piece is bent into a square and the other is…

Q: A shipping company handles rectangular boxes provided the sum of the length, width, and height of…

A: Let the dims be x, y and z then volume V=xyz           -----------(1) and the restriction we have…

Q: 1 Integrate the following fraction: 2x2+12x+32

A:

Q: A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Let x m make a square.So each side= x/4 mArea of the square = (x/4)^2= x^2/16 m^2

Q: (x+2)(x+1) 1.

A: Topic = Algebra

Q: Two boxes with the same volume contain socks that you designed for a fundraiser. Box A is 6 inches…

A: Two boxes with the same volume containing socks are given. We need to decide which box has more…

Q: Compate the Cantiderivative of fox) = x²+4 xナ4 %3D x³+ax

A:

Q: - The sum of the perimeters of an equilateral triangle and a square is 10. Determine the dimensions…

A:

Q: Evaluate the following by using Partial fraction method 3x2+27x+ 12 dx x² +x-6

A: In the given problem the numerator and denominator have same degree.Therefore first we divide the…

Q: X, t 2 X, < 22 X,t 3, 2x x, Z12 + 2xa=32 maxlimzed by 2=5x, t10x2

A: The solution of given linear programming is given by using graphical method :

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

A:

Q: Find the dimensions of the largest field that can be enclosed with this amount of fencing, and find…

A: The total length of fence is 148ft.

Q: Find the total ancd neguon between x-axis and the gruph of y==X2 - 3X, -7sx52

A:

Q: 37. Suppose that 1200 sq. cm of material is available to make a box with a square base and an open…

A: Let the side of the bottom be ax and the height of the box  h.  The volume of the box will be…

Q: How many total solutions can the following funnction have? F(x)=3x^8+6x^4-2x^2+5x-4

A:

Q: B. RESOLVE INTO PARTIAL FRACTIONS: 2 Ar+7x+28 X(x+x+7)

A:

Q: Find the antiderivative of  (3x^2+2)/(3x^2+.6x)

A:

Q: the area of the region enclosed by 4x−y−16=0 and y2−4x=4.

A:

Q: HW: Expand (4+ y 2- (a-5) 1-

A: I have used binomial expansion

Q: If a prism has length of x+3, width of x+5 and a height of x+4. What is the total volume of the…

A:

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: Use separation of variables and find (if possible) product solutions for the following PDES : Uxx +…

A: Given partial differential equation is, Let the solution of this equation be of the form, Now…

Q: In the quest for the perfect donut, you decide that to make it, you're going to rotate the graph of…

A: The graph is drawn as :

Q: The area of the base of a prism can be expressed as x2 + 4x + 1 and theheight of the prism can be…

A: Volume of any solid is given by multiplication of base area and height.

Q: Suppose you are designing a rectangular room with a fixed perimeter of 60 ft, use the method of…

A: Consider the equation

Q: = -x² + 3x |(2, 2) y y -2 +1 1 y = 2x – x² – 5x (-2, –10) - –10 |

A:

Q: Use the box method to distribute and simplify (5x° + 5x2-4aæ + 2)(4x – 3). Drag and drop the terms…

A: Given a polynomial : 5x3+5x2-4x+24x-3 We need to use the method of distribution and then simplifying…

Q: Find the degree homogeniety of y'=2xy/y^2-x^2

A:

Q: A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is…

A:

Q: Albert wants to make an open box from a rectangular piece of cardboard by cutting squares out of the…

A: given ,  measure of cardboard , length =32 inches   and   breadth = 20 inches

Q: Suppose we have 45 m² of material to build a box with a square bottom and no top. What dimensions…

A:

Q: A car manufacturer estimated that the cost of production of "x" cars of a certain model is C = 20x –…

A:

Q: A project management consultant estimated that if a particular project was completed, t years after…

A:

Q: Use separation of variables to find a product solution to the following

A: Using separation of variable we have to find a product solution of the following differential…

Q: A manufacturer wants to design an open box having a square base and a surface area of 108 square…

A:

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

A: Follow the procedure given below.

Q: 4. Find the total areas of the shaded regions in (a) (b) y = xV4 – x² 2

A: Given: The shaded region as shown in figure: We have to find the area of the shaded region.

Q: Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible. m…

A: given that perimeter of rectangle is 100m let dimensions of rectangle be l and b. so,…

Q: Find the dimensions I x w of a rectangle with area 850yds. whose perimeter is as small as possible.…

A:

Q: Find the Volumes of the salids genel(ated brevalving the regiens 72 7-2

A:

Q: 7dx x(lnx + 1) S:

A: To solve the given integral problem by substitution.