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

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

∞ ∑ (2n+3)/(n2+3n+1) n=0

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

A solid has a flat base, which is bounded by the graph of y=x^3 and y=vx in the first quadrant only.

Each cross section of the solid perpendicular to the x-axis is the shape of a square. Find the volume of this solid. a. 5/14 b. 25/126 c. 5/12 d. 47/125

Find the value of m such that the line y = m represents the height at which the tank is half full.

finding the volume of the solid

If f and g continuous function on [a,b] then (upper: b, lower a)∫f(x)g(x)dx=[(upper: b, lower a)∫f(x)dx]*[(upper: b, lower a)∫g(x)dx].

If F(x)= (upper: x, lower: 0) ∫√(t3+1)dt then F'(2)=3

what are the exact possible values of k? Hint: use cylindrical shells

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