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## Calculus 1 Answers

The tank has height 14 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 0.19 m/min when the height of the water is 1 meters, find the rate at which water is...

example: Calculate the limit of a function, while x approaches -1 f(x)=x+arccos(x/1-x^2)-1/(x^2)*e^(1/2*x^2) //the function arccosX (X is a real number) is defined for X∈[-1,1], but...

Air is being released from a spherical balloon at a rate of 100cm^3/sec. Which of the following is the instantaneous rate at which the radius of the balloon is changing when the radius is 5 cm (The...

A clown is standing on a cliff that is 528 ft tall. The clown hurls a tomato into the air with a velocity of 128ft/sec. How fast is the tomato traveling when it hits the ground below?   I...

After an extensive study, the Interstate Commerce Commission has concluded that, though maintenance and replacement costs for vehicles are considerable, they do not vary significantly from carrier...

The City Electric System(CES) recently constructed a major transmission line along parts of South Street in the city. The transmission lines are strung between power poles and the hanging lines form...

A 13 foot ladder rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall. Let x be the distance from the bottom of the ladder to the wall. Assume the wall is perpendicular...

Let sinx=1-x, use newtons method to find the solution accurate to 8 decimal places. Show initial guess, iteration equation, and all intermediate values prior to final answer?

lim x->1 (tan(πx/4)-1)/(sin(πx)) Answer is -1/2 I tried to apply multiply up and down by the numerator conjugate and then don't know how to proceed. Is this even necessary? or is there...

A school wants to enclose behind a wall of the building 2 adjacent equal rectangular courtyards of total area 19200 square feet with a fence that cost \$50.00 per foot. Find the dimension of each courtyard...