Given is the equation dy dx = xy + ax + by + 1; a, b > 0. For every value of a > 0, find a value for b such that the equation becomes sepa- rable. Specify functions ga(x) and ha(y) to prove that the equation is separable. (b) Show that the equation dy dx = sin(x) + y 2 is not separable. Hint: Assume that there exist functions g(x) and h(y) such that g(x)h(y) = sin(x) + y 2 . Then insert values (0, 0), (1, 0), and (0, 1) into this equation.

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

this linear equation would have just one solution.

step-by-step explanation:

the reason why this would have one solution is that it is an expression with just one variable. since that variable is not raised to a power, it will always have just one solution.

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step-by-step explanation: