# fareha

Popular questions and responses by fareha
1. ## calculus

You are standing at the edge of a slow moving river which is one mile wide and wish to return to your campground on the opposite side of the river. You can swim at 2 mph and walk 3 mph. You must first swim across the river to any point on the opposite

2. ## calculus

1. Given the curve a. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for the line tangent to the curve at the point (2, 1) c. Find the coordinates of all other points on this curve with slope equal to

3. ## calculus

if a farmer has 100 feet of fence and wants to make a rectangular pigpen, one side of which is along existing straight fence.What dimensions should be used in order to maximize the area of the pen?

4. ## calculus

5. A particle moves along the x-axis in such a way that its position at time t is given by x=3t^4-16t^3+24t^2 for -5 ≤ t ≤ 5. a. Determine the velocity and acceleration of the particle at time t. b. At what values of t is the particle at rest? c. At

5. ## calculus

1. A rectangle has a constant area of 200 square meters and its length L is increasing at the rate of 4 meters per second. a. Find the width W at the instant the width is decreasing at the rate of .4 meters per second. b. At what rate is the diagonal D of

6. ## calculus

Construct a window in the shape of a semi-circle over a rectangle.If the distance around the outside of the window is 12 feet.What dimensions will result in the rectangle having the largest possible area? We need to find Amax I know the circmfrence is 12

7. ## calculus

1. Let y = f(x) be the continuous function that satisfies the equation x^4-5x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (-2, -2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for y’ b. Write an equation for

8. ## calculus

1. A rectangle has a constant area of 200 square meters and its length L is increasing at the rate of 4 meters per second. a. Find the width W at the instant the width is decreasing at the rate of .4 meters per second. b. At what rate is the diagonal D of

9. ## calculus

How do you do differntials?

10. ## calculus

4. Given the function f defined by f(x) = cos2x for -π≤ x ≤π a. Find the x-intercepts of the graph of f. b. Find the x and y coordinates of all relative maximum points of f. Justify your answer. c. Find the intervals on which the graph of f is

11. ## calculus

6. A trough is in the shape of a triangular prism. It is 5 feet long and its vertical cross sections are isosceles triangles with base 2 feet and height 3 feet. Water is being siphoned out of the trough at the rate of 2 cubic feet per minute. At any time

12. ## calculus

1. Let y = f(x) be the continuous function that satisfies the equation x^4-5x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (-2, -2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for y’ b. Write an equation for

1. ## calculus

thanks!!

posted on December 13, 2011
2. ## calculus

so I know you will use T=dr/rr +dL/rL

posted on December 13, 2011
3. ## calculus

sorry here's the equation: x+xy+2y^2=6

posted on December 3, 2011