Set up an integral in spherical coordinates that represents the volume of the sphere x2+y2+z2=49x^2+y^2+z^2=49 in octant VII. Include bounds for your integral, but no need to evaluate.
Blog
Evaluate ∫1e ∫ln(y)1e(x2)y dxdy\int_1^{e}\ \int_{\ln(y)}^{1}…
Evaluate ∫1e ∫ln(y)1e(x2)y dxdy\int_1^{e}\ \int_{\ln(y)}^{1}{\frac{e^{(x^2)}}{y}\ dxdy} by switching the order of integration.
Using polar coordinates, evaluate ∫R∫ln(x2+y2) dA\int_R\int{…
Using polar coordinates, evaluate ∫R∫ln(x2+y2) dA\int_R\int{\ln{(x^2+y^2)}\ dA} where RR is the washer 4≤x2+y2≤94\leq x^2+y^2 \leq 9 in quadrants I, II, and III.
Find the surface area of y2+z2+2x=0y^2+z^2+2x=0 with -2≤x≤0-…
Find the surface area of y2+z2+2x=0y^2+z^2+2x=0 with -2≤x≤0-2\leq x\leq 0.
head muscles.jpg
head muscles.jpg
Screenshot (71).png
Screenshot (71).png
Screenshot (79).png
Screenshot (79).png
Screenshot (61).png
Screenshot (61).png
What is your favorite spring food?
What is your favorite spring food?
Screenshot (54).png
Screenshot (54).png