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A child applies the brakes on a bicycle by applying a downward force of 20 pounds on the pedal when the crank makes a 40 degrees angel with the horizontal. The crank is 6 inches in length. Find the torque at P.
Let G be a group. x and y are elements of G. Prove that: The inverse of xy is y^-1x^-1. The identity element, e, is unique
Based on exponential growth function how long will it take the world population to reach exactly 7 billion? How about 10 billion? Based on the population how long before it will reach 400 million? and 500 million?
The weights of full-grown adult female okapis are normally distributed with a mean of 500 pounds and a standard deviation of 30 pounds. What is the probability that
a football falls from peak height of 23m to a final height of 1.3 m where it is caught. what is the final vertical velocity of the ball at the instant it is caught.
Solve each of the following equations for the unknown variable.
The sales representative here tells you they also have two floor plans available, but they only have 42 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
Find the curve that passes through the points (3, 2) and has the property that if the tangent line is drawn at any point P on the curve, then the part of the tangent line that lies in the first quadrant is bisected at P.
Find and prove a formula for the derivative of the hyperbolic secant function,
Determine the nature of the solutions of the equation. x^2-10=0. Choose the correct nature of the solutions of the equation. Is it a) 1 real solution; b) 2 imaginary solutions; or c) 2 real solutions.
List all the binary relations on the set {0,1}. List the reflexive relations on the set {0,1}.
In a circle of radius 6 centimeters, find the area of the segment bound by an arc of measure 120 degrees and the chord joining the endpoints of the arc. Round your answer to nearest tenth.
What are the different forms of linear equations in two variables? Show an example of each form. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)?
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