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(1) The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2. How high does it go? (Note: gravitational acceleration acts downwards so is negative).
(2) A 30m uniform chain (mass 25kg) is hanging from the roof of a factory. What work is done to wind the chain up onto a drum?
Solve equations and systems of equations in two variables, formulate real-world problems in terms of linear equations and solve these systems by several commonly applied methods.
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
If we draw one card from a 52 card deck, what is the probability that it is red? That it is a diamond? That it is an ace? That it is the ace of diamonds? Find Gambling Probability
Find Probability -Length of Machine Produced Metal Strips. Length of metal strips produced by a machine are normally distributed with mean length of 150 cm
Justify the conclusion by describing the relevant information from the output.
Let V be a circle lying in S. Then there is a unique plane P in R^3 such that p / S = V ( / = intersection). Recall from analytuc geomerty that
Determine the coefficient of determination. Interpret its value.
Compute the number of calenders that should be ordered. The J&B Card Shop sells calendars depicting a different Colonial scene each month. The once-a-year order for each year's calendar arrives in September.
Applications of quadratic equations: Maxima and minima and What depth will provide a maximum cross sectional area and thereby provide for the greatest flow of water
A car dealer, at a year-end clearance sale, reduces the list price of last year's models by 15%. If a certain model has a discounted price of $8000, what was the list price? How much can be saved by purchasing last year's model?
For an electric circuit, let V=cos 2pi(t) model the electromotive force in volts at t seconds. Find smallest positive value of t where 0
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
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