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...

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...

normally I would know hoe to solve this is a number was in the place of the x but since the x is there, I'm stuck.

the third term is 10 and the fifth term is 16. a) find the common difference b) find the first term c) find the sum the first 20th term of the sequenc...

find the integral 1/ (x* e^x ) dx

I need to see the steps for solving the following equation: Find the equation of the tangent line to the curve at the given points for y=x^2-1/x^2+x+1 (1,0). I know the answer...

The graphs of the polar curves r=3 and r=4-2sin(theta) are shown in the figure above. The curves intersect when theta=pi/6 and theta=5pi/6. a) Let S be the shaded region that is inside...