Compute the double integral ∫∫D 5xy^2dxdy over the region D bounded by xy=1, xy=16, xy^2=1, xy^2=36 in the first quadrant of the xy-plane. Hint: make a change of variables T:R2→R2 that converts a rectangular region D∗ in the uv-plane into the region of integration D=T(D∗) in the xy-plane. Double Integral =

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation:

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