A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a level...

A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a level...

Find the domain of the following function: f(x)=3x+2(x+5)(x+6)f(x)=3x+2(x+5)(x+6)

A university is trying to determine what price to charge for tickets to football games. At a price of $2525 per ticket, attendance averages 40 comma 00040,000 people per game. Every decrease of $55...

Use the differential equation and the given point to find f(x). dy/dx= (-48)/(3x+5)^2 Point: (-1,3)

Hi, I need help understanding how to solve for: a) lim as x tends to 0 (sin|x|)/(x) b) lim as x tends to 0 (sinx)^3/ x^2

∞ ∑ (2n+3)/(n2+3n+1) n=0

You are making pudding for a dinner party, and you put it in the refrigerator at 5 p.m. Your refrigerator maintains a constant temperature of 40 degrees. The pudding will be ready to serve when it...

find the equation of the line through the point (3,5) that cuts off the least area from the first quadrant.

a swimming pool is holding 5300 gallons of water in it. a system is set up to increase the pool water by 16% per hour. how fast is the pool filing up when it has 18300 gallons in it

A cup of coffee at 160° is placed in a room where the temperature is 70°. After 5 minutes, the coffee’s temperature is 112.5°. Find the temperature of the coffee 10 minutes after it...

A. Find the total number of birds for the year. B. When are the birds migrating the fastest. C. When is the migratory rate increasing the fastest?

∞ ∑ (n2-3n+5)/(n3+4n-1) n=1

∞ ∑ (n2-3n+5)/(n3+4n-1) n=1

F(x)=2x4-3x3-10x2+20, find domain, range, maximum, minimum, increasing, decreasing, concavity, inflection points, absolute max/min?

Find the relative extrema for f(x)=2sin2 x-cos2x on the interval [0,2π]. Also find the x coordinates of the inflection points of f(x) on this interval. Give the intervals where the function is...

I need this question solved and I am stuck. Let f(x)=2x+1−11e^x. Then the equation of the tangent line to the graph of f(x) at the point (0,−10) is given by y=mx+b. solve for m and...

If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]

HELP PLEASE

f(x)=√(5-2x) please explain how to get there

f(x)=(2x)/(3+x) please explain by steps