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

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

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. 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

∞ ∑ (2n+3)/(n2+3n+1) n=0

∫ (from 1 to ∞) (2+sin(x))/(x2+3x+5) dx

∞ ∑ (n*e^-n^2) n=2

∫ (from 1 to ∞) (x2-3)/(x3+4x+1) dx

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...

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

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

lim (1-4x)=13 x→-3 Prove the statement using ε and s please show steps and similar example

for lim lim x3-3x+4 x→2 illustrate definition of 2 by finding values of s that correspond to ε=0.2 and ε=0.1 dont even know where to start on this please help