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A football team lost nine yards on each of two consecutive plays. Find the total change in yardage.
The total change in yardage in the two consecutive plays is
Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.
A 17 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t=0 and slides away from the wall at a rate of 1 textrm{ft/sec}.
suppose a ferris wheel with radius of 12 meters is rotating at a rate of 2 rotations per minute.a. how fast is a person
Let v1 and v2 be vectors in R^n. Show that (prove) the set of all vectors w, an element of R^n such that w is orthogonal to both v1 and v2, is a subspace of R^n.
List all the binary relations on the set {0,1}. List the reflexive relations on the set {0,1}.
Augmented matrices to solve the equations
A computer gives the approximate value .84776 to 5 digit accuracy for the sum of the series: (-1)^n/[n(lnn)^2], from n=2 to infinity. Find a specific partial sum which is guaranteed to give this number to 5 digit accuracy?
The sum of three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the thrid number. Find the numbers.
Given that at least one of the six dots must be raised, how many symbols can be represented in the Braille code?
Provide a written summary of your results explaining them in the context of the original problem. If you were a homebuilder, would you be interested in continuing to build homes in this market over the long run? Explain why or why not.
Use truth tables to show the whether ¬p ∧ ¬(p → q) is a tautology, a contradiction or neither.
Find the centroid of the region bounded by the given curves. Calculate the moments Mx and My and the center of mass of a lamina with the given density and shape.
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