This is a practice question from my Discrete Mathematical Structures Course. Thank you. Prove by induction that (−2)º + (−2)¹+ (−2)² + ... + (−2)²for all n positive integers.=1-2²+13

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Answered: Prove by induction that (−2)º + (−2)¹+…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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You have a rectangular area array having a maximum area with a piece of wire L centimeters long. What will be the width and height of the rectangle?The width and height of the rectangle can have an infinite number of possibilities. To understand this problem, we must first identify the alternatives, that is, define the width and height of the rectangle as continuous algebraic variables.Solve this Exercise to find the width and height of the rectangle maximizing the area of the piece of wire.w = width of the rectangle in centimetersh = height of the rectangle in centimeters To solve this exercise use the Lagrange equation.
Part 3. 2 Please show your solution
I don't have any pictures or anything I just need help with how to determine if a table or graph is Linear, Quadratic, or Exponential.
For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).
The coordinate of the vertex of y= a(x-p)^2 + q is
a) f(x) = (23*-6) –
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Prove by induction that (−2)º + (−2)¹+ (−2)² + ... + (−2)² for all n positive integers. = 1-2²+1 3