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Let G a graph where vertices correspond to each of the squares of an 8 × 8 board and where two are adjacent if, and only if, from one square to the other in one move. What is/are the possible degree(s) of a vertex? How many vertices have each degree? How many edges does G have?
an angle of a triangle is 100 degrees. the other two angles are in ratio of 35. what is the measurement of the smallest
A conducting loop in the shape of a square of edge length 12cm carries a current of 15A. A) calculate the magnitude and direction of the magnetic field at the center of the loop. B) Calculate the magnetic field at the center if the same wire is fo..
find the perimeter of one of the smaller rectangles using systems of equations.
Find the equation of the plane tangent to the surface z =9 - x2 - y2 at (1, 2, 4). Graph both the part of the surface including the point and the tangent plane over the rectangle [0, 3] X [0, 3]
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y.
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
If you roll two standard six-sided dice and take the sum of the numbers on each die, which sum happens most often? Be sure to show your work for full credit.
Find the present value of an annuity of $1500, at the end of each quarter for 8 years after being deferred for 7 years, if the money is worth an annual rate of 7.6% compounded quarterly.
From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee.
Calculate the line integral of the function v = y^2+2x(y + 1) from point a=(2,4) to b=(4,1) along vertical segment (2,1) then horizontal.
Doorway Height: The gulfstream 100 is an executive jet that seats six, and has a doorway height of 51.6 in.
An ice cream company finds that at a price of $5.00 demand is 6300 units. For every $0.15 decrease in price, demand increases by 135 units. Find the price and quantity sold that maximizes revenue. What is the price and quantity?
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