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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
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.
It is known that 20% of old cars cannot pass the emission test . Four old cars are selected randomly . x is the number of card in the sample that cannot pass the emission test.
To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many Judges the city needs.
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
A rectangular trench is to be dug which is to be 210 ft long, 90 ft wide and 12 ft deep. A large dump truck can carry 20 cubic yards in a load. How many truck loads will be required to remove the dirt from this trench?
Application of differential calculus in economics: Profit, Cost and Revenue function - What is the maximum profit if each item is sold for $7? (Assume you sell every thing you produce.)
Real time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations.
Graph each absolute value function and state its domain and range.
Suppose that f (x) is a degree 4 polynomial with coefficients in a field F, and let K be the splitting field of f (x). What are the possible values for [K : F]?
Two balls are randomly chosen from an urn containing 8 white, 4 black, and two orange balls. Suppose that we win PHP 2.00 for each black ball selected and we lose PHP 1.00 for each white ball selected. Let X denotes our winnings. What are the poss..
Of all numbers whose sum is 50, find the two that have the maximum product. That is, maximize Q=xy, where x+y=50
A 23-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the building, what is the angle of elevation of the ladder? How high does the ladder reach on the building?
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