I am TA at MIT
Solve the initial-value problem in Exercise 9.2.27 to find an expression for the charge at time $ t. $ Find the limiting value of the change.
Evaluate the iterated integral.$$\int_{1 / 3}^{1 / 2} \int_{0}^{\pi} \int_{0}^{1} z x \sin x y d z d y d x$$
Evaluate the iterated integral.$$\int_{0}^{\pi / 4} \int_{0}^{1} \int_{0}^{x^{2}} x \cos y d z d x d y$$
Evaluate the iterated integral.$$\int_{0}^{3} \int_{0}^{\sqrt{9-z^{2}}} \int_{0}^{x} x y d y d x d z$$
Evaluate the iterated integral.$$\int_{1}^{3} \int_{x}^{x^{2}} \int_{0}^{\ln z} x e^{y} d y d z d x$$
Evaluate the iterated integral.$$\int_{0}^{2} \int_{0}^{\sqrt{4-x^{2}}} \int_{-5+x^{2}+y^{2}}^{3-x^{2}-y^{2}} x d z d y d x$$