Setup the necessary intervals to find the average value of the
function
over the ellipse
.
Use technology to evaluate the integral. Give an exact answer. (not
decimal)
Solution:
Setup the necessary intervals to find the average value of the function over the ellipse . Use...
9. Set up the necessary intervals to find the average value of the function /(x,y)=x' +4y2 - 4 over the ellipse 4x² + y2 = 4. Use technology to evaluate the integral. Give the exact answer.
Use the transformation
and
to evaluate the integral
where
is the region bounded on the
by the ellipse
Let S be the image of R under
T on the .
Sketch regions
R and S. Set up the integral as
an iterated integral of a function
over region S. Use technology to evaluate the
integral. Give the exact answer.
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1. (a) Find L4 and R4 for the integral
1 (x sin x/2) dx
Show the setup and round the answer to threedecimal places.
(b) Find M4 for the integral
1 (x sin x/2) dx . Show the setup and round the answer to four
decimal places.
Sketch the approximating rectangles on the graph.
(c) Compare the estimates with the actual value
1 (x sin x/2) dx
10.243 . Which estimate is the most accurate?
(d) Express the integral from...
Consider the function
A. Give the intervals of increase and decrease of
B. Give the local maximum and minimum values of
C. Give the intervals of concavity of
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16.Find the exact value of the expression in radians and
degrees.
Find the exact value of the expression in radians
=
Type an exact answer, using
as needed. Use integers or fractions for any numbers in the
expression. Type your answer in radians.
Find the exact value of the expression in degrees.
Type your answer in degrees
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Find the critical value z, necessary to form a confidence interval at the level of confidence shown below C 0.92 Round to two decimal places as needed) We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
1 R 12. Use the transformation T: u = -x and very to evaluate the integral [jx?dA where R is the region bounded on the xy-plane by the ellipse 9x + 4y = 36. . Let S be the image of Runder T on the uv-plane. Sketch regions and S. Set up the integral 7as an iterated integral of a function f(u, v) over region S. Use technology to evaluate the integral. Give the exact answer. R S Y
1 3 12. Use the transformation T: u = -x and very to evaluate the integral [JxºdA where R is the region R bounded on the xy-plane by the ellipse 9x² + 4y2 = 36. Let S be the image of R under T on the uv-plane. Sketch regions R and S. Set up the integral 7as an iterated integral of a function f(u, v) over region S. Use technology to evaluate the integral. Give the exact answer. R S...
Use an appropriate change of variables to calculate the double
integral
where A is the area inside the ellipse
. Answer in decimals
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1 R 12. Use the transformation T: u = 5x and v= ky to evaluate the integral ſf xºdA where R is the region bounded on the xy-plane by the ellipse 9x’ +4y? = 36. . Let S be the image of Runder T on the uv-plane. Sketch regions R and S. Set up the integral 7as an iterated integral of a function f(u, v) over region S. Use technology to evaluate the integral. Give the exact answer. R S...