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Find the volumes of the solid generated by revolving the regions about the given axes?
The region bounded by y= -x+3 and y=x² -3x about
a) the x-axis
b)the y-axis
Or rather the statement I made is
π∫_(-1)^1▒(1-x^2 )^2 dx=8π/5 but that is not the right answer ofr the (a) part of the question. I wonder where I got it all wrong.
I solved it this way but got the wrong answer.
π∫_(-1)^1▒〖1-x^4 〗 dx=8π/5
Find the volume of the solid generated by revolving the region bounded by the parabola y=x² and the line line y=1
a. about the line y=1
b.about the line y=2
c. about the line y=-1
Still don't get it
The curve y=x³, 0≤ x≤ 3, is rotated about the y-axis. What volume does the resulting surface enclose? Use x as the dependent variable.
Write the integral that represents the surface area of a hemisphere of radius one and evaluate it.
Calculate the volume of a solid with base in the plane an equilateral triangle of side 1, with base on the x-axis, and with vertical cross section parallel to the y-axis consisting of an equilateral triangle.
Evaluate the following indefinite trignometric integral.
∫sin² x cos² x dx
Evaluate the integral.
∫_3^5▒dx/(x.log(x))
Evaluate the following improper integral, be sure to write the integral as an appropriate limit.
∫_0^3▒sinx/x^2 dx
A trust is established in your name which pays t+10 dollars per year for every year in perpetuity, where t is time measured in years ( here the present corresponds to time=0). Assume a constant interest rate of 4%. What is the total value, in today's dollars,of all the money that will be earned by your trust account?
Beacuse of inflation, the value of a dollar decreases as time goes on.Indeed this decrease is directly related to the continuos compounding of interest
That is not right
Find the right circular cylinder of greatest volume that can be contained in a sphere of radius 1
Can any body explain to me how the first equation arrives to be the second:
lnx/(x-1)=ln〖x^((1⁄(x-1)) 〗
On a math test a student is to select any four out of ten problems of equal difficulty. the test contains 2 geometry, 3 algebra, 1 statistics, and 4 probability problems.
How many different four-problems selections are possible if each selection includes the same number of algebra problems as probability problems?
The student government at central high school consists of 4 seniors, 3 juniors, 3 sophomores, and 2 freshmen. How many different nine-student committees can be formed that include, at most, one freshman?
U are right!
Thanks
A bookshelf contains six mysteries and three biographies. In how may ways can two books be selected so that at least one of the books is a mystery book?
The first term of a geometric sequence is 27, and the sixth term is 519/9.
find the seventh term
Thanks for the solution . That is the right answer!
The telephone company has run out of seven-digit telephone numbers for an area code.To fix this problem, the company will introduce a new area code. Find the number of new seven -digit telephone numbers that can be generated for the new area code if both of the following conditions must be met:
CONDITION 1: The first digit cannot be 0 or 1
CONDITION 2: The first three digits cannot be the emergency number (911) or the number used for the information (411)
That is not the answer
How many four-digit even numbers can be formed if no digit is repeated?