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

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

The base of a solid in the region bounded by the graphs of y = e-x y = 0, and x = 0, and x = 1. Cross sections of the solid perpendicular to the

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

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...

∞ ∑ (n2-3n+5)/(n3+4n-1) n=1

∞ ∑ (2n+3)/(n2+3n+1) n=0

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?

HELP PLEASE

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...

∞ ∑ (n2-3n+5)/(n3+4n-1) n=1

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

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

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

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

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...

y'= (3-x)/xy , x>0, y(1)=2

dy/dy+xy=x , y(0)=1/2

y=sinx+cosx satisfies the differential equation ( (d2y)/(dt2) )+y=0 true or false?

which of the following is a solution to the differential equation y''+2y'+y=0 a) y=cos2x b) y=x2 c) y=xe-x