Match the integrals with the type of coordinates which make them the easiest to do.
equation editorEquation Editor
1. ∭E dV where E is:
x^2 + y^2 + z^2<= 4, x>= 0, y>= 0, z>= 0
2. ∭E z^2 dV where E is:
-2 <= z <= 2,1 <= x^ 2 + y^2 <= 2
3. ∭E z dV where E is:
1 <= x <= 2, 3<= y <= 4,5 <= z <= 6
4. ∫10∫y^20 1/x dx
5. ∬D 1/x^2 + y^2 dA where D is: x^2 + y^2 <=4
Options:
A. spherical coordinates
B. polar coordinates
C. cylindrical coordinates
D. cartesian coordinates

The function ƒ is defined by ƒ(x) = (x + 3)(x + 1). the graph of ƒ in the xy-plane is a parabola. which interval contains the x-coordinate of the vertex of the graph of ƒ?

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

Peter measures the angles in a triangle. he finds that the angles are 95, 10 and 75. is he correct? explain your answer