A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of the function shown below and the x-axis (0 ≤ x ≤ 4) about the x-axis, where x and y are measured in meters. Use a graphing utility to graph the function. Find the volume of the tank. y=1/64x2 square root of 4-x

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval 0, 3] by using…

A: Topic : Area answer =18

Q: Let the region R be the area enclosed by the function f(x) = 2e" and g(x) = 7x + 2.Find the volume…

A:

Q: Consider the function g (x) = †x +1. What is the exact volume of a solid that is formed with a…

A: Consider the given function whose volume is required to calculate. The volume for solid of…

Q: A football is 10.8 inches from tip to tip and 7 inches in diameter at its thickest. The shape of the…

A: Consider f(x)=-0.12x2+35. f(x)=0⇒-0.12x2+3.5=0⇒x2=-3.5-0.12⇒x=3.50.12 ≈±5.4 We find the volume by…

Q: Let the region R be the area enclosed by the function f () = e² – 1 and g(x) = 4x. If the region R…

A:

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

A: Given function :

Q: Find the total areas of the regions a. Between the graph of f(x) = 1- Vx and the x-axis for 0 < x <…

A: Given:        fx=1-x interval 0≤x≤4  Total area of the region between the curve fx and the x-axis…

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

A: Given

Q: Find the area of the region that is bounded above by the curve f(x) = sqrt(x−7) and the curve g(x) =…

A: The given curves: fx=x-7 and gx=19-x.The area is bounded by the above curves and x axis.

Q: Let the region R be the area enclosed by the function f(x) = 2x and g(x) = 3x. If the region R is…

A:

Q: g(x) = 2x2 - x - 1, [3, 5], 4 rectangles < Area <

A: To use the right endpoint and left endpoint Riemann integral to approximate the area by the given…

Q: Let the region R be the area enclosed by the function f (x) = 3/7, the r-axis and the vertical lines…

A:

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

A:

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

A:

Q: A company designs spinning toys using the family of functions y = cxv4 – x, where e is a positive…

A: The design of spinning toys is given by the below family of functions. y=cx4−x2 Here c is a positive…

Q: Find the area of the region bounded by the graphs of f(x) = x^2 − 4x + 3 and g(x) = −x^2 + 2x + 3.…

A:

Q: 6. Fill in the blank: The length of the graph of y = x² on [2, 4] is equal to the area under the…

A: y=x2 on the interval 2, 4. Differentiating with respect to x, we get dydx=2x Now length of the curve…

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

A:

Q: Let the region R be the area enclosed by the function f(x) = x°, the horizontal line O and x y = -3…

A: Given R be the region enclosed by the function72d1ae8f-c83f-4c8f-ad5a-bcc8c0e9e002

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

A:

Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of f and…

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: Find the volume of resulting solid by using the Washer method. Leave the answer as an integer or…

A: The volume of the resulting solid is 3π10

Q: An open rectangular box is to be constructed by cutting square corners out of a 29- by 29- inch…

A: An open rectangular box to be constructed by cutting square corners out of a 29 by 29 inch piece of…

Q: f(x) = 2x + 3,   [0, 2],   4 rectangles Use left and right endpoints and the given number of…

A: Given: fx=2x+3, 0, 2, 4 rectangles To determine: Two approximations of the area of the region…

Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the…

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the…

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

A: Solve the following

Q: Find the area, in square units, bounded by f(x)=3x+5 and g(x)=2x+1 over the interval [0,12]. Do not…

A: Area of region between f(x) and g(x) over the interval [0,12] is computed as follows.

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

A:

Q: A trough with trapezoidal cross sections is formed by turning up the edges of a 30-inch-wide sheet…

A:

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

A:

Q: An open box has a surface area of 20 where the box has a square base. What function should be used…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Approximate the area under the function f(x)=4/x on the interval [1,5] using 8 right-sided…

A:

Q: Let the region R be the area enclosed by the function f(x) = x³ + 1, the horizontal line y O and the…

A: By using volume of a solid formula, We calculate the required volume.

Q: Estimate the area under the graph of f(x) = 0.5x2 + 1 over [0, 6] and n = 6

A: Given: f(x) = 0.5x2 + 1 over [0, 6] and n = 6

Q: 0. Find the dimensions of a rectangle of maximum area that can be inscribed in a circle of radius 4…

A: Given:     radius ( r ) = 4 cm

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

A:

Q: mine the area en

A: Given that: x=-y2+2.............(1)

Q: The region Renclosed between the graph of the function y = r² – 4x + 5 and the x-axis for 0 < x<4 is…

A: Solution

Q: Let the region R be the area enclosed by the function f(x) = 2x², the horizontal line y = 8, and the…

A:

Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A: Length = 13Width = 10 So, when we cut the square of edge, x we get : length of box = 13 - 2xwidth of…

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

A: The Left Riemann Sum (also Left Endpoint Approximation) uses the left endpoints of a subinterval.

Q: Find the area of the region under the graph of the function f on the interval [5, 6].   f(x) = 8x −…

A:

Q: Find the area, in square units, bounded by f(x)=8x+15 and g(x)=7x+6 over the interval [−7,10]. Do…

A: The given functions are f(x) = 8x+15 and g(x) = 7x+6 over the interval [–7,10].

Q: Find the area of the region under the graph of the function f on the interval [4, 5]. 9 f(x) = -2²/2…

A:

Q: A piece of cardboard measuring 12 inches by 9 inches is formed into an open-top box by cutting…

A: Please see the explanation below

Q: Question What is the total area between f(x) = 6x + 6 and the a-axis over the interval [-6,3]?

A: Let's find.

Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

A:

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

A:

Q: Let the region R be the area enclosed by the function f(x) = 2x³, the horizonta line y = -2 and the…

A: area = 6 + ∫022x3dx        = 6 +[ x42]02         = 6 + 8        = 14

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.