A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It's light is making 3 revolutions per minute. It is found that the beam of light is moving...

A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It's light is making 3 revolutions per minute. It is found that the beam of light is moving...

A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It is found that the beam of light is moving alon the shore at a rate of 220pi m/s when...

Differentiate y = x/e^x

I can't figure out how to get that pesky zero out of the denominator!

I know I need to use the chain rule but I never get the right answer when I try on this problem

let f(x) x2 - 5x + 6/x2 - 2x a. Calculate lim x -> 0- f(x), lim x -> 0+ f(x), lim x -> 2- f(x), and lim x -> 2+ f(x) b...

Find the horizontal limit(s) of the following function: f(x)= (9x^3-8x^2-8x)/(7-8x-7x^3) I know that one of the horizontal limits is the -9/7, but I'm still missing one...

If the substitution √(X)=sin y is made in the integrand of: (top of the integral sign is (1/2), bottom of the sign is 0) ∫ ( √(X) )/( √(1-X) )dx, the resulting integral is_____________. A...

Consider the transformation x=vcos(2piu), y=vsin(2piu) a)Describe the image S under T of the unit square R={(u,v,)|0<u<1,0<v<1} b)Find the area of S

Suppose a nurse records the temperature of healthy men and women. The table represents the mean and standard deviations of the data. ...

At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 18 knots. How fast (in knots) is the distance between the ships changing...

If f(x)=3sin(x) + 4(x)^x, find f'(3)

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm. (Note the answer...

There is a line through the origin that divides the region bounded by the parabola y = 4 x - 2 x^2 and the x-axis into two regions with equal area. What is the slope of that line?

an olympic athlete ingests an illegal substance at 10:00 pm Friday evening. The amount of the substance in the athlete's body after t hours is determined by the function f(t)=100-30ln(1+t). If...

So I have a problem where there is a right triangle with the height (4500ft) and the rate at which the angle is changing (pi/180radians per second) and I need to find the ground speed. I figured...

i just cant get why i got this wrong and i cant find the answer online, please tell me the answer and how to do this step by step, thank you so much!!

the derivative or the slope to the function or the function for the tangent line is -2x, using the power rule....however I understand that first(1,2) and (x,4-x^2) are similar..i.e if...

fin the limit of (1-cos2x-cos4x)/x as x->0 and show all work!

Question: A playing field is being constructed as a rectangle with semi-circles at each end. A 400m racetrack is to be built around the playing field. a) What radius of the semicircles...