2) Determine what change of variables is necessary to solve each of the following integrals on th...
2) Determine what change of variables is necessary to solve each of the following integrals on the region R given: wih cormers at (0.0,a.).a-1).(0) s a rec bSSR cos(zy-s')d.A where R is a rectangle with corners at (-1,-2), (-1,0), (1,0),(1,2). e) SJ(a2 -v') sin(a -y)dA (indefinite integral) 3) Solve the integrals in a) and b) of the previous problem. Feel free to attempt c) but it is considerably longer and more challenging
Can you do 3 and 6 Determine whether the following assertions are true or false 1. The double integral JJDy2dA, where D is the disk x2 +y2く1, is equal to π/3 2. The iterated integral J^S 4drdy is equal to 3. The center of mass of the triangular lamina that occupies the region D- 10 4. The triple integral of a function f over the solid tetrahedron with vertices (0,0,0), x < 3,0 < y < 3-2) and has a...
2. Evaluate the following indefinite integrals: (a) vel V=(x+2) dx ET (b) 3. Evaluate the following definite integrals: (a) cos(x) da (sin(x) +18 (b) COS 4. The graph of y=g(t) is shown below, and consists of semicircles and line segments. y=g() -1 3 6 596 s(t) dt Define the function f(x) by f(x)= Use the graph of y = g(t) and the properties of the definite integral to find: (a) the value of (i) f(3) (ii) f(-1) (iii) 1'(6) (b)...