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The surface area of this pyramid is 189cm squared The area of the square base is 49cm squared. What is the area of one triangular face of the lateral surface?
How fast is the area of the rectangle changing when the width is 10 cm and the height is 15 cm? Is the area decreasing or increasing?
Rational and Jordan Canonical Forms, Find the rational canonical form and the Jordan canonical form(if possible) for the linear tansformations f: R^3->R^3 given by the matrix
Given the adjacency relation p = {(1,4), (1,5) (1,6), (6,2), (6,3), (6,5)} on the set N ={1,2,3,4,5,6}, find the corresponding directed graph and adjacency matrix.
Find the probability that a randomly chosen subscription
find any absolute or local maximum and minimum values of f(x)=8-2x if x≥6.
A binary message is sent over a noisy channel. The message is a sequence x1, x2, . . . , xn of n bits (xi 2 {0, 1}). Since the channel is noisy, there is a chance that any bit might be corrupted, resulting in an error (a 0 becomes a 1 or vice vers..
If the account earns interest at the rate of 7%/year compounded quarterly, how much will Luis have in his account at the time of his retirement?
The region R is bounded by the graphs of x-2y = 3 and x=y^2. Set up (but not evaluate) the integral that gives the volume of the solid obtained by rotating R around the line x=-1.
Find the probability distribution, & the cumulative probability distribution of car arrivals.
Groups: Isomorphisms and Mappings, Let G be the additive group of all real numbers, and G' be the group of all positive real numbers under multiplication
In a shop there are 20 customers, 18 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase?
Suppose that a batch of 100 items contains 6 that are defective and 94 that are nondefective. If X is the number of defective items
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