A) Integrate f(x, y)=x2+y2 over the triangular region with vertices (0,0), (1,0), and (0,1). Use a definite double integral and show all the steps.

B) Integrate f(u, v) = v- sqrt(u) over the triangular region cut from the first quadrant of the uv-plane by the line u+v=1. Use a definite double integral and show all the steps.

Which statement is true 1.the pythagorean theorem can be used to find the missing side of any triangle 2.the pythagorean theorem can be used to find the missing side of any polygon 3. the pythagorean theorem can be used to find the missing side of any right triangle 4.the pythagorean theorem can be used to find the missing side of any isosceles triangle

If the value of cos330°is√3/2 then find cos 165°.

Calculate the average rate of change over the interval [1, 3] for the following function. f(x)=4(5)^x a. -260 b. 260 c. 240 d. -240