# Posts by fareha

Total # Posts: 15

**calculus**

How do you do differntials?

**calculus**

thanks!!

**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 12=w+2L+a/2(pie) I'...

**calculus**

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

**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 bank. From there walk to ...

**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?

**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 what values of ...

**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 increasing.

**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 line l

**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 t, let h be the depth ...

**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 the rectangle ...

**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 the rectangle ...

**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 line l

**calculus**

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

**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 the slope at (2, 1)

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