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What are the signs of the following derivatives?

Which of the following solids has a volume equal to the integral ∫01∫-1-y21-y2∫1-y2-x21  dzdxdy{“version”:”1.1″,”math”:”∫01∫-1-y21-y2∫1-y2-x21  dzdxdy”}

Which of the following solids has a volume equal to the integral ∫π2π∫02/2∫z1-z2 r drdzdθ{“version”:”1.1″,”math”:”∫π2π∫02/2∫z1-z2 r drdzdθ”}

Which of the following solids has a volume equal to the integral ∫-11∫01-y2∫1-y2-x21  dzdxdy{“version”:”1.1″,”math”:”∫-11∫01-y2∫1-y2-x21  dzdxdy”}

Which of the following solids has a volume equal to the integral ∫0π∫0π/4∫01 ρ2 sinϕ dρdϕdθ{“version”:”1.1″,”math”:”∫0π∫0π/4∫01 ρ2 sinϕ dρdϕdθ”}

Which of the following solids has a volume equal to the integral ∫π2π∫01 r2 drdθ{“version”:”1.1″,”math”:”∫π2π∫01 r2 drdθ”}

Which of the following solids has a volume equal to the integral ∫π/23π/2∫01∫0r r dzdrdθ{“version”:”1.1″,”math”:”∫π/23π/2∫01∫0r r dzdrdθ”}

What is the approximate direction of the gradient vector at each of the following points?

The function g(x, y) has tangent lines at the point (1, 2) with directions 2, 0, 8{“version”:”1.1″,”math”:”2, 0, 8″}  and 0, -13, 2{“version”:”1.1″,”math”:”0, -13, 2″}. Find  ∇g1,2{“version”:”1.1″,”math”:”∇g1,2″} . Write you answer using the greater and less than symbols for brackets, commas, numbers and no spaces. _______

Which of the following solids has a volume equal to the integral ∫0π∫01∫r1-r2 r dzdrdθ{“version”:”1.1″,”math”:”∫0π∫01∫r1-r2 r dzdrdθ”}