Homework Help for Calculus

Find the volume of the solid whose base is the given region and which has property that each cross section perpendicular to the x-axis is an equilateral triangle. The triangular region with vertices A(1,1); B(3,5); C(3,-2).

Find the volume of the solid whose base is the given region and which has property that each cross section perpendicular to the x-axis is an equilateral triangle. the triangular region with vertices A(1,1); B(3,5); C(3,-2).

Let (S) be the paraboloid z=10-(x-1)^2-(y-2)^2 and let M be the highest point (relative to the plane Oxy) on (S ). Let (P) be the tangent plane to (S) at M. Which point from the following is on the plane (P) ? 

Find the total areas in the shaded regions.

Y=x²

x+y=2

Find the total areas in the shaded regions. 

y=x√4-x²

Wages and salary . Someone help

If y = (1 + x) (1 + x2) (1 + x4), then dy/dx at x = 1 is

1) 20

2) 28

3) 1

4) 0  

If g is the inverse of a function f and

1) 1 + x5

2) 5x4

3) 

4) 1 + {g(x)}5  

Find the domain and range of the real function f(x) = x/1+x2.

Question 6

Let f be the function with derivative . Which of the following statements is true?

Question 5

Let f  be a differentiable function with a domain of (0,5). It is known that  (x), the derivative of f(x), is negative on the intervals (0,1) and (2,3) and positive on the intervals (1,2) and (3,5). Which of the following statements is true? 

Question 4

The function  is defined by . At what values of  does have a relative maximum?

Question 3

Let  be the function with derivative . Which of the following statements is true?

Question 1

The function is defined by . At what values of does  have a relative maximum?

(A)   and  

(B)   only

(C)   and  

(D)   only