The equation is y=sqrt(1-x2). The picture is a concave down curve that goes to 1 in both the y and x direction. I found the lower sum to be 0.6985 but I can not seem to get the uppper sum correct...

The equation is y=sqrt(1-x2). The picture is a concave down curve that goes to 1 in both the y and x direction. I found the lower sum to be 0.6985 but I can not seem to get the uppper sum correct...

A roast turkey is taken from an oven when its temperature has reached 185ºF and is placed on a table in a room where the temperature is 75ºF. (a) If the temperature of the turkey...

Find the derivative of y = coth-1 (sec(x)). Simplify if possible. I applied the Chain Rule. -sech(x)tanh(x) _____________ (1 - sec(x)2)1/2 I don't...

Suppose that Alice and Bob both begin driving cars at 10:00pm Friday evening, and that Alice is initially 10 miles to the East of Bob. If Alice is driving North-East at a speed of 50√ 2 miles per...

3. A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420. (a) Find an expression for the number of...

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...