Find the surface area of the unit sphere s represented parametrically by φ: d → s ⊂ double-struck r3, where d is the rectangle 0 ≤ θ ≤ 2π, 0 ≤ ϕ ≤ π and φ is given by the following equations. x = cos(θ) sin(ϕ), y = sin(θ) sin(ϕ), z = cos(ϕ). note that we can represent the entire sphere parametrically, but we cannot represent it in the formz = f(x, y).

Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of 6 . (1 point) 5 square root of 14 end root minus 7 square root of 12 5 square root of 7 end root minus 7 square root of 6 7 square root of 12 end root minus 5 square root of 14 7 square root of 6 end root minus 5 square root of 7

For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. for an 10 month period, the last term is and the series sum is . for a 15 month period, the last term is and the series sum is . for a 20 month period, the last term is and the series sum is

If a line is defined by the equation y = 5x + 2, what is the slope?