Answer:
246.82 cubic feet.
Step-by-step explanation:
The volume of a rectangular prism is length*width*height. Solving, 4.1*4.3*14=246.82 cubic feet.
Answer:
a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx
b) ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz
c) ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz
e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy
Step-by-step explanation:
We write the equivalent integrals for given integral,
we get:
a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx
b) ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz
c) ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz
e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy
We changed places of integration, and changed boundaries for certain integrals.
y^2 + 15y + 56 factors to (y+7)(y+8)
This is because 7+8 = 15 is the middle term and 7*8 = 56 is the last term. We can use the box method, FOIL rule, or distributive property to confirm we have the right factorization. I'll use the distributive rule
(y+7)(y+8) = y(y+8) + 7(y+8)
(y+7)(y+8) = y^2 + 8y + 7y + 56
(y+7)(y+8) = y^2 + 15y + 56
Use n = 52 in the formula.
F = n/4 + 37
Replace n with 52:
F = 52/4 + 37
F = 13 + 37
F = 50
Answer: The estimated temperature is 50 deg F.
6.666666 and so on so about 7