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

∞ ∑ (n2-3n+5)/(n3+4n-1) n=1

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...

∞ ∑ (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?

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

HELP PLEASE

∞ ∑ (n2-3n+5)/(n3+4n-1) n=1

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...

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?

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...

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

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