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from a rectangular piece of cardboard having dimensions an open box is to be made by romoving squares of area x squared from each corner and turning up the sides. show that there are two boxes that have a volume of 1000 inches.
Nate built a skateboard ramp that covers a horizontal distance of 10ft. The ramp rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to the nearest degree.
A ball re-bounds one-half the height from which it is dropped. The ball is dropped from a height of 160 feet and keeps bouncing. What is the total vertical distance the ball will travel from the moment it is dropped until it hits the floor for the..
In a mechanical system, the displacement of a body, s meters, is related to time t seconds, by the integral: Determine an expression in terms of r and k, for the time taken by the body to travel a distance g/k meters from its initial position.
Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is the radius increasing after 3 minutes? At what time (if any) is the radius increasing at a rate of 120 feet per second?
Possibility of selecting an executive committee, A city council with nine members must elect a 4 person executive committee consisting of a mayor
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
For the two acute angles, m1=6x -3° and m2 =x + 2°. Solve for x and the measure of each angle. State the ideas from the tool kit that justify the procedure you use.
Write a differential equation for A, the amount of caffeine in the body t hours after 7am and give the particular solution to this differential equation. How much caffeine is in the person's body at 5pm?
Find the work done by the force field F(x,y,z) = / (x^2+y^2+z^2)^(3/2)
If, in a special right triangle the sides are denoted by "a, b, c" and the angles are denoted by "A, B, C" If I knew only C was 90 degrees, that a was 6 units long and b was 13 units long. How would I be able to find the degrees of Angle A and B?
Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
The tangent line equation
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