A lamina with density (x; y) = 10y (x 2 + y 2 ), occupies the region inside the circle x 2 + y 2 = 2x and outside the circle x 2 +y 2 = 1, inside the Örst octant. Find the mass of the lamina. (a) Set us the integral, in rectangular (cartesian) coordinates, of the mass of this lamina. Do not integrate. (b) Set up the integral from (a) in terms of polar coordinates. Do not integrate. (c) Integrate the easier of (a) and (b)

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

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step-by-step explanatio89

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb