03/21/19

What's maximum height, how long, and until it reaches bottom
what is the maximum height the ball reaches? how long will it take the baseball to reach the maximum height? how long does it take for it to reach the ground?-16t^2+100t+25
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11/19/18

Math for Liberal Arts Calculus Word Problem

The profit formula John Solar Panel Company is P= -40x^2 + 160000x. How many solar panels must they build and sell to maximize profit? What will the maximum profit be?
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11/12/18

How fast is the top moving down the wall when the base of the ladder is 7 feet away from the wall?

Other given information:A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.
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11/07/18

Related Rates Question
A boat is pulled by means of a winch on a dock 8 ft above the deck of the boat. The winch pulls in the rope at the rate of 5 ft/s. Determine the speed of the boat when there is 10 ft of rope out.
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10/26/18

Write the function g(x) which takes the function f(x)=3^x and shifts it to the right by 4 units, reflects it across the x-axis, and shifts it up 2 units
Write the function g(x) which takes the function f(x)=3x and shifts it to the right by 4 units, reflects it across the x-axis, and shifts it up 2 units.I got y=3-(x-3)+2 and i'm pretty sure that... more
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10/16/18

An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides.
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box... more
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10/16/18

Related Rates (calculus)
A balloon is at a height of 50 meters, and is rising at the constant rate of 5 m/sec. A bicyclist passes beneath it, traveling in a straight line at the constant speed of 10 m/sec. How fast is the... more
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10/16/18

Find all solutions of the equation in the interval [0, 2π) algebraically.

Find all solutions of the equation in the interval [0, 2π) algebraically. Use the table feature of a graphing utility to check your answers numerically. (List the solutions in increasing order. If... more
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10/10/18

i don't understand this calculus problem plz help
A water trough is 5 m long and has a cross-section in the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 60 cm wide at the top, and has height 40 cm. If the trough is being... more
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10/06/18

Assuming 100 downward strokes per second, estimate the average power output of the insect.
A typical flying insect applies an average force equal to twice its weight during each downward stroke while hovering. Take the mass of the insect to be 10g, and assume the wings move an average... more
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08/01/18

Calculus Problem
Find the volume of the solid obtained by rotating the region bounded by the curves y= x2/ 4, x=0 and y=4 about the y-axis
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08/01/18

Calculus Problem
Of all the triangles that pass through the point (1,1) and have sides lying on the coordinate axes, one has the smallest area.       what are the lengths of its sides?
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07/25/18

Barn silo volume
a barns silo is 40m tall and has a radius of 5m. it is capped with a hemispherical roof. find the total volume of the silo
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07/22/18

surface area and volume
Coffee is sold in two different-sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister. Calculate the... more
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07/14/18

Time taken to reach maximum height when a distress rocket is fired vertically into the air with an initial velocity of 49m/s
Its about linear motion on object moving vertically upwards
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07/11/18

A sector with central angle θ is cut from a circle of radius R = 24 inches, and the edges of the sector are brought together to form a cone.
A sector with central angle θ is cut from a circle of radius R = 24 inches (see figure), and the edges of the sector are brought together to form a cone. Find the magnitude of θ such that the... more
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07/06/18

High School Pre-Cal
A boat is trying to come into Harbor against a current that is going out to sea. the boat's velocity in Still water is given by the Vector [-5 , -1], and the current velocity is a given by the... more
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07/05/18

Derivatives effect on graph?
sketch the graph of the function x^4-x^3   i was wondering on how do we get the points that we have to plug on the graph? Are they only the x and y intercepts?
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07/05/18

question on projectile physics
A stone is projected from a point O on a cliff with a speed of 20m/s at an angle of elevation of 30 degrees. T seconds later the angle of depression of the stone from O is 45 degrees. find the... more
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07/03/18

The maximum weight that a circular column
The maximum weight that a circular column can support is directly proportional to the fourth power of its diameter and is inversely proportional to the square of its height. A 2-meter diameter... more
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07/03/18

25% of a solution containing 20% petrol, 50% diesel and 30% kerosene was replaced with kerosene
25% of a solution containing 20% petrol, 50% diesel and 30% kerosene was replaced with kerosene. now, 2/3 of the solution obtained in the previous step was replaced with petrol. what is the... more
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07/03/18

High School Pre-Cal
While watching a waterwheel turn in a river, Jenny noticed that, as the wheel turned, the distance from a point on its edge to the water varied sinusoidally with time. Jenny started her stopwatch... more
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06/24/18

Siraj and Son Live near eachother. Sirajs house is 20 km east of Sons house. Siraj runs 12 km/h to sons house. son goes south to the beach at 9km/h. they start
Siraj and Son Live near eachother. Sirajs house is 20 km east of Sons house. Siraj runs 12 km/h to sons house. son goes south to the beach at 9km/h. they start at 9 and go on for 2.5 hours. when... more
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06/22/18

Need help with a growth problem
Immediately following an injection, the concentration of a drug in the bloodstream is 200 milligrams per milliliter. After t hours, the concentration is 75% of the level of the previous... more
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06/20/18

rocket to hit ground launched from 2 ft platform upward velocity of 150ft/s
how long will it take the rocket to hit the ground
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