2. Squares of side a are cut from each corner of a 8 in x 6 in rectangle, so that its sides can be folded to make a box with no top. Ropresent a function in terms of a that can define the volume of the box. Answer:

Q: (a) Estimate the area under the graph of f(x) = 7 + 2x2 from x = -1 to x = 2 using three rectangles…

A: Given:- Estimate the area under the graph of f(x) = 7 + 2x2 from x = - 1 to x = 2  To find:- using…

Q: Find the area of the region enclosed between f(x)=x^2−2x+4 and g(x)=2x^2−3x−2.

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A:

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A:

Q: ned area between the graph of the function f(x)=−5x^4−6 and the x-axis over the interval…

A: Introduction: The formula of the area between two curves is given by, A=∫ab(f(x)-g(x))dx

Q: fV5+ 4x – x² dx

A:

Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [–2, 3].

A: Given  f(x) = 2x2-4x+2 The graph is

Q: Determine the area, in square units, of the region bounded by f(x)=10x3+x2−21x−9 and…

A: The region bounded by the curves, fx=10x3+x2-21x-9 and gx=9x3+x2-5x-9 over the interval [2,6].

Q: Estimate the area under the graph 1 of f(x) = from a = 5 to x2 +1 b = 13 by using n = 4 rectangles…

A: The given function,   f(x)=11+x2 from a=5 to b=13 by using n=4 rectangles

Q: Find the area of the region enclosed between f(x) = x² + 6x + 9 and g(x) 2x2 + 3x – 1. Area = (…

A:

Q: Suppose we want to know the area of a region that is bounded by the graph of F(X)=1/2x+2 and the…

A: Consider the given curves.

Q: Find the area of the region under the graph of the function f on the interval [5, 11]. f(x) = 4x - 6…

A:

Q: on

A: Find the area of the region between the graph of fx=1x and the x-axis on the interval [1,9]

Q: sketch the region completely enclosed by the graphs of the given functions f and g. f(x)=5 sq.root…

A: Consider the functions

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Use left and right endpoints and the given number of rectangles to find two approximations of the…

Q: 3. Show that the volume of a truncated prism whose right section is a paral- lelogram is the product…

A: As per the question we have to prove that the volume of a truncated prism is : (Area of its right…

Q: 2) Calculate the area, in square units, bounded by f(x)=10x³ +8x² −17x-4 and g(x)=9x³ +10x² - 2x-4…

A:

Q: 2. Suppose that when the area A between the graph of a function y = f(x) and an interval [a, b] is…

A: Given that,  Function y = f(x) and interval [a,b] is approximated by the areas of n rectangles.…

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: What is the area between the graphs of f (x) = 3x + 5, g (æ): -2x – 3, x = 2, and x = 12?

A:

Q: a. Calculate the total area of the region between the graph of f and the x-axis, when f(x) = 5 –…

A:

Q: Estimate the area under the graph of f(x)= 7 +4x^2 from x = -1 to x = 2 using both three rectangles…

A: All the Riemann sum are given as follows:

Q: Find the total area between the graph of the function f(x) = 2 – |x – 1| , graphed below, and the x…

A:

Q: Suppose you estimate the area under the graph of f(x) = x from x = 5 to x = 25 by adding the areas…

A: The given function is fx=x3 from x = 5 to x = 25 Partition type: 20 equal subintervals with right…

Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2 +19x+62 over the interval…

A: We have to find area between f(x) and g(x) for given boundaries.f(x) and g(x) is given below:Graph…

Q: Find the area of the region enclosed by the graphs of f(x)=x²-10x and g(x)=6x 50-64

A:

Q: An open box with a square base is to have a volume of 6ft3. Find a function that models the surface…

A: Let the length of side of square base is x and height of box is h, The volume of the box will be…

Q: Sketch the graphs of the functions. f(x) = sqrt(x)  and  g(x) = x^2   Also find the area of the…

A:

Q: Find the area of the region under the graph of the function f on the interval [5, 9]. f(x)= 7/x2…

A:

Q: Find the area of the region enclosed between f(x) = a² + 2x + 4 and g(x) = 2x – 2x - 1. %3D Area =…

A: The values of each function at x=0, will help to find the curves. Since f(0)=4, blue line represents…

Q: Approximate the area under the following curve and above the x-axis on the given interval, using…

A:

Q: Find the area of the region under the graph of the function f on the interval [1, 5]. f(x) = 3x³…

A:

Q: discover the area of the region enclosed by the following functions.

A: The given two functions:y=4x-x2 and y=2x-3.We need to find the area between them.

Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2+19x+62 over the interval…

A: The area enclosed by the parabola and line is given by

Q: Find the area of the region under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: 2. Find the area between the graphs of the functions f(x) = 8 – 2a2 and 9(x) = 4 – x? over the…

A:

Q: Find the area of the region between f(x) =4x²+3x and g(x) = – 9x – 2x².

A: The equation of the curves given by C1: fx = 4x2+3x C2: gx =-9x-2x2 To evaluate : The value of the…

Q: Use the Fundamental Theorem to determine the value of b if the area under the graph of f(x) = 4x…

A:

Q: Find a formula for the described function and state its domain Express the surface area of a cube as…

A: Consider the provided expression, Let V be the volume of the cube with length side a. V=a3 So, the…

Q: Find the area of the region enclosed between: f(x)=x^2+3x+16, g(x)=2x^2+x+1.

A:

Q: A piece of cardboard measuring 12 in by 10 in is formed into an open top box by cutting squares of…

A: Figure

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – 2° over the interval [0, 3] by…

A: Given function is f(x)=9-x2 we have to find the area over interval [0, 3]. Since there is 3…

Q: What is the area between the graphs of f (x) = 3x + 5, g(x) = -2x – 3, x = 2, and x = 12?

A:

Q: Find the area of the region enclosed between (x)=x^2+5x+9 and g(x)=2x^2+3x+1

A: We have to find the area of the region bounded by curves f(x)=x2+5x+9 and g(x)=2x2+3x+1. The region…

Q: Find the area of the region between the x-axis and the graph of f (x)= x' – 4.x² + 3x, Osxs2. .

A:

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

A:

Q: Calculate the area enclosed by the functions : f(x) = x² – 12 ·x and f(x)= -x²+4•x . If area is not…

A: Answer is 512/3  Happy new year :)

Q: Find a function that models the area A of an equilateral triangle in terms of the length x of one of…

A: We know the height (h) of an equilateral triangle with the length x of one of its sides is: A =…

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A:

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x over the interval 0, 3 by using…

A: The given function f(x)=9-x2 over the interval [0,3]