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Question: Define quadrilateral and rectangle.
Assume that ABCD is a convex quadrilateral. Show that in absolute geometry, the sum of the measure of angles in any quadrilateral cannot exceed 360 degrees.
Find the area of the curved surface of a right-circular cone of radius 2 and height 2 by rotating the straight line segment from (00) to (22) about the y-axis.
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
a bowl is shaped like a hemisphere with diameter 30 sm. A ball with diameter 10 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume of water in the bowl.
Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
The cost C to produce x number of tennis rackets is C=160+12x. The tennis rackets are sold wholesale for $17 each, so revenue R is given by R=17x. Find how many tennis rackets the manufacturer needs to produce and sell to break even.
Find the values of a and b for the curve
If interest is compounded annually, it grows as follows. Suppose P0 is the initial amount and INT is the interest rate per year. If P1 and P2 represent the balance at the end of the first and second year
Prove that limn ->∞ xn exists and find it.
A piece of software stores information about digital songs and keeps track of when they were listened to Each song is associated with a song name, an artist and an album title; each song is also associated with a unique identifier.
A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
In word format - Calculate the mean, median, and mode for the following populations of number.
7- Jensen Enterprises paid $1,300 in dividends and $920 in interest this past year. Common stock increased by $1,200 and retained earnings decreased by $310. What is the net income for the year?
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