1) y = √[x(x+1)] 2) y = ln(ln x) 3) y = √(x+3) sin x 4) y = (x+5) / (x cos x)

1) y = √[x(x+1)] 2) y = ln(ln x) 3) y = √(x+3) sin x 4) y = (x+5) / (x cos x)

Find dy/dx. 1) y = log5√x 2) y = log10√(x+1)

A stone is thrown straight down from the edge of a roof, 900 ft above the ground, at a speed of 7 ft/sec. A. Given that the acceleration due to gravity is -32 ft/sec2, how high is the...

A stone is dropped from the edge of a roof, and hits the ground with a velocity of −180 feet per second. Assume the acceleration due to gravity is -32 feet per second squared. How high (in feet) is...

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

Find the area of the region R bounded by the curve r = 6cos 0

Evaluate the integral (1/sqrt(x^2 - 5))dx on limits of 3 to 4, using the formula: integral of (1/sqrt(x^2 - a^2))dx. Recall that this formula was found by using the substitution x = a cosh t,...

The radius of a circular oil spill after t minutes is given by r(t)=sqrt(9t). Find the instantaneous rate at which the radius is growing after 31 minutes. ft/min

I got the limits of integration which is -1 to 1 and x^2+1 to 3-x^2 but from there am not sure how to integrate the function because i get an answer of zero which seems wrong.

a. the graph of the differential equation b. the graph of the general solution to the differential equation c. the graph of the tangents to the differential...

I need help ASAP please!!

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2, x = 3, and y = 4 about the y-axis. a. (25π / 2) b. (97π / 3) c...

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 x-axis are semicircles. What is the volume, in cubic...

Can someone help me solve for this indefinite integral?: (u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3) Thank you!

Find the average velocity of the particle over the interval [1, 4]. Include units in your answer. Thank you!!

I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones: First problem:...

I need help answering this word problem...I need to find the function P(t) and I just can't remember the process whatsoever "A company has its profit function P(t) defined since...

Water is pumped out of a holding tank at a rate of 6-6e^-0.11t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started,...

In the middle of solving this implicit function/using implicit differentation to find its tangent line, this is what I have so far: Original function: y^3+x^3-2xy=8 (find tangent...

Im confused on how to solve this calculus problem Verify that the given point lies on the curve. Find the equation of the tangent line to the curve at the point. ysin(2x)ysin?(2x)==xcos(5y)xcos...

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