A volume is described as follows:1. the base is the region bounded by x = - y? + 10y + 95 and æ = y' – 30y + 245;2. every cross section perpendicular to the y-axis is a semi-circle.Find the volume of this object.volume =

Answered: Image /qna-images/answer/e08ad32d-9b4d-47b0-978f-38cd6a56afb8.jpg

Answered: A volume is described as follows: 1.…

A volume is described as follows: 1. the base is the region bounded by æ = - y? + 10y + 95 and æ = y² – 30y + 245; 2. every cross section perpendicular to the y-axis is a semi-circle.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...

See similar textbooks

Related questions

Q: In this calculus problem use the information in the graph thts ona separate attachment. a) whats...

A: Inverse function theorem(f-1)'(x)=1f'(f-1(x)) whenever f'(f-1(x))≠0

Q: Determine if the given functions f(x) are continuous or not at the given value of x. Show your compl...

Q: (x² +3y² +5)dx +(6xy+ 6y+3)dy = 0 Identify the exactness of the differential equation. Calculate the...

Q: A cable is to be run from a power plant on one side of a river 900 meters wide to a factory on the o...

Q: Test the series below for convergence using the ratio test. n2 Σ 1.5" n=1 The limit of the ratio tes...

A: f(n)=n2/1.5n

Q: Given the series: ΣΗ 1 k +1 does this series converge or diverge? O diverges O converges If the seri...

A: Terms of a telescoping series will cancel each other except 2 terms in the series.

Q: Given the geometric sequence: 36, 120, 400, ... Find an explicit formula for an, where the first ter...

Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (...

A: Topic = Functions The intermediate value theorem states that if f is a continuous function whose d...

Q: Question 11 Зсos3x-1 To evaluate f scos - dx, the integrand can be transformed to 1-sin?x A.) [(3cos...

A: We put 1-sin2x=cos2x and then solve it. Follow 2nd step.

Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

Q: Find the volume formed by rotating about the y-axis the region enclosed by: x = 11y and y = x with y...

Q: (a)Odd degree polynomial functions have opposite________ . (b) When we multiply two functions toge...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 +3xy ...

Q: dx 1+x² plution as the answer is given.

Q: x5 dx (x6-8)2 2.

A: given that, evaluate the following integral ∫x5(x6-8)2dx integration formula ∫xndx=xn+1n+1+C

Q: Show that f(x,y) = 1-x* - y* has a relative maximum, even though D in the theorem is 0. The critical...

A: Given : f(x, y) = 1 - x⁴ - y⁴

Q: If a cup of coffee has temperature 94°C in a room where the ambient air temperature is 18*C, then, a...

Q: Find

A: Solution is here

Q: a and b are positive numbers. a, -4, b.... form a geometric progression. 14, a, b... form an arithme...

A: Recall: Arithemetic sequence : An arithemetic sequence of numbers such that the difference d between...

Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2* Calcula...

Q: Consider the graph of f. y 4 3 1 1 2 2 3 4 5 6 7 8 9

Q: Complete the table to 5 decimal places and use the result to estimate the given limit to 4 decimal p...

A: topic - limits

Q: P(#) Question 4: When working with rational functions of the form f (x) = and the function does inde...

Q: Question 21 Find the antiderivative of f 5sin x* In 5 cos x dx. A.) 5cosx + C В.) 5sinx + C C.) 5sin...

A: To find:- ∫ 5sin(x) ln(5) cos(x) dx

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a- ...

Q: Find the inverse function of f. f(x)=8x-1/3x-4 x cant equal 4/3

Q: Find or evaluate the integral using an appropriate trigonometric substitution. +3 x2 dx 4 + C

Q: Find the surface area generated by rotating the given curve about the y-axis. = 6t2, y = 4t, 0sts1 N...

Q: The given problem needs the first derivative. Find the first derivative. a² x Y= a² + x

Q: P(z) how might the function 9(x) Question 3: When working with rational functions of the form f (x) ...

Q: ssume you are given the surface S with equation æ² + + = 1. = 1. 9

A: We can use distance formula to solve the problem

Q: 1 R(t) = 2 sin(t) – 4 cos(1)

Q: A tree on a hillside casts a shadow c = 225 ft down the hill. If the angle of inclination of the hil...

A: Topic = Trigonometry Height of the tree is 130 ft.

Q: The following statements are true EXCEPT A. lim x →2 x²=4 B. lim x →-2 x=-2 C. lim x →-2 x³=8 D...

Q: 6x³ – 1 у — 2х + 1 3x* - 4

Q: Find the values of m and b that make f continuous everywhere: 42 +a – a2 I+ 6 if x 3 When showing y...

A: Follow the procedure given below.

Q: What value(s) of o are an appropriate choice when proving the following limit? lim (2 + 9x + 25) = 5...

Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: Continuity of Functions at a Point Determine if the given functions f(x) are continuous or not at th...

A: According to question,Given Function,fx = x2 + 2x +1 at x = 2

Q: 2. (D2 + 3D)y = -18x; y = 0, Dy 5 when x

Q: Find the partial fraction decomposition of each rational expression. Show COMPLETE SOLUTION

Q: 1 Find the derivative of 24 – 3x² +5 글(21-3교2 + 5)글 (4z3 - 6z) 글 (21-3교2 + 5)굴 This function is not ...

A: We can take logarithmic to solve it easily.

Q: 5. f(x) = Vx2 + 3x + 6; f'(2)

Q: J, 4. lim X-3 x2 - 9 x - 3 lim X3 x2 – 2x – 3 5. X - 3 lim X"i x2 – 2x – 3 6.

A: We need to find limit.

Q: Evaluate the expression. 2 7 + 3 6. 1 + 7+ 5- (Simplify your answer. Type an integer or a fraction.)

A: Topic:- algebra

Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C D....

Q: Question 15 Determine the equation of the curve whose tangent line at any point (x.y) is e* – sin x ...

Q: Solving by variation of parameters 4y" 4y'- 8y 8e-*, we find that: O u_1=(-2/9) e^(-3x)and u_2=-(2/3...

A: Auxiliary equation and variations parameters

Q: What is the value of a so that In (e") dx = 6? a A.) 0 B.) 1 C.) 2 D.) 3

A: Solve it by using logarithms rules.

Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is D2+3Dy=-18x and the given conditions are y=0, Dy=5 when x=0 find th...

Question

A volume is described as follows:
1. the base is the region bounded by x = - y? + 10y + 95 and æ = y' – 30y + 245;
2. every cross section perpendicular to the y-axis is a semi-circle.
Find the volume of this object.
volume =

Expert Solution

Step 1

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x=9 and y=5 revolved about the a x-axis b y-axis
For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a lateral area. b total area. c volume.
Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed when the region bounded in Quadrant I by the axes and the lines x = 9 and y = 5 is revolved about the a) x-axis b) y-axis
The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.