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1. The ceiling function maps every real number to the smallest integer greater than or equal to that number, f = x → [x], where [x] is the smallest integer greater than or equal to x . Is this function one-to-one? List five numbers that have the same image
2. Find derivatives of the given functions in document using differentiation rules
3. Find the derivative of the given function
Attachment:- ASSIGNMENT1.doc
What is the rate of change of the radius of the lower ball at moment when the radius of the middle ball is 12in?
a drop of oil measuring .28 cubic cm is spilled onto a lake. the oil spreads into a circular shap with a diameter of 22cm. Approxamate the thickness of the film.
An oil tank is shaoed like a right circular cylinder of diameter 4 ft. Find the total fluid force against one end when the axis is horizontal and the tank is half filled with oil of weight density 50 lb/ft^3.
Find a basis for the col(A) and a basis for col(A^t).
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Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
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if an air flight arrives on time .60% of the time and 15 flights are observed, what is the means number of on time flights per 15 flights.
Write and equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. f(x) = (3x^2 + 5x + 4)(4x + 3), x=0
A card is drawn at random from a standard deck of playing cards. You win $1 if you draw a seven and $24 if you draw an ace. Otherwise you loose $2. What is the expected value of the game?
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