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1. 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.
2. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.
3. Use mathematical induction to show that 3 divides n^3+2n whenever n is a nonnegative integer.
After viewing the two (2) Lynda.com videos on company culture this week, identify at least three (3) elements of a strong company culture of trust and integrity. Explain why
From the e-Activity, the table shows Average Insurance Costs by State. Select two (2) states that are of interest to you. Next, speculate on three (3) possible reasons why t
A transformer is rated at 629 VA and has a primary voltage of 435 V and a secondary voltage of 133 V. Calculate the load factor (in %) that would result in maximum operating e
For one particular grade of gravel, the ratio of the height of the cone to its radius is 3:2. The conveyor delivers 20 cubic feet per minute to the pile. How fast is the hei
How to solve this Problem: Suppose that V and W are finite dimensional vector spaces. Suppose that T->W is a linear transformation. Show that the kernel of T, denoted ker
How far is the foot of the ladder away from the wall when the vertical rate of change of the top is the same (numerical amount) as the horizontal rate of change of the botto
Two masses of 14 kg and 7 kg are connected by a light inextensible string passing over a pulley and the system starts from rest and moves for 3 sec, when the string breaks.F
a. Find the regression equation in the form y=ax2 +bx2 +cx +d that best approximates the data. Express the values of a, b, c, and d to the nearest hundredth. b. Use the equati
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