### Math Induction

College level proof before real analysis. Please see the attached file.

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College level proof before real analysis. Please see the attached file.

Find the Taylor series generated by F(x)=x^4-2X^3+5X^2-6X+4 at x= -1. A step by step solution is included to explain the concept of finding taylor series expansion of a given polynomial of degree 4 at a given ponit. The same concept can be applied to find the taylor series expansion of other polynomials and functions.

Choose the most reasonable measurement. Tyrell read the nutrition label on the back of his frozen dinner. Choose the most reasonable estimate for the amount of sodium in the dinner. 480 t 480 kg 480 g 480 mg

Provide an appropriate response. Which of the following statements is correct? A gallon is slightly less than four liters A liter is slightly more than four gallons A gallon is slightly more than four liters A liter is slightly less than four gallons

Solve: In a distant solar system the diameter of planet A is 8 times as great as the diameter of planet B. The diameter of planet B is 787 miles. Find the diameter of planet A.

Translate the English sentence into an equation using the variables indicated. The ratio of brick houses to wooden houses in a particular city is 5 to 11. Let b = the number of brick houses and w = the number of wooden houses.

Simplify by using the order of operations. Round your answer to the nearest hundredth. 33.9 - 9.8 ∙ 2

Why is log(-4) an error when typed into a calculator?

This solution explains the concept of finding equation of tangent line to two given parabolas, polynomials, finding taylor of the function y = sin(x) and y=cos(x) at x = 0. Step by step detailed solutions are provided to explain the concept.

Please solve the quadratic equation. 6 x 2 + 7 x + 2 = 0

Solve 2x ( x + 3 ) = x + 25

Solve ( x2 - 2x )( x + 3) = -2x ( x + 1)

Solve 3x ( x+3) = 2 (5x+1)

Solve. x2 + 3x - 28 = 0. Make sure to show all steps and work required in a clear manner.

Solve: 6b^4 - 18b^3 - 60b^2 = 0 for b.

Factor. 3 a2 (a - b) - 6a(a - b) + 21(a - b)

Please see the attached file. 1. Solve the following Discrete Logarithm Problem via Shank's Algorithm: 12295 modulo 79839983 2. Solve the following Discrete Logarithm Problem via Pollard Rho Algorithm: 4341 modulo 39839983 3. Solve the following Discrete Logarithm Problem via Pohlig-Hellman Algorithm:

Can someone please help me with this problem? Please show all steps. Problem is in an attachment. Thanks!

Factor 15 + 3y - 5x2 - x2y

Let (Omega_1, F_1, P_1) and (Omega_2, F_2, P_2) be the following measure spaces: Omega_1 = {a, b}, F_1 is the sigma algebra of all subsets of Omega_1, and P_1 is a measure on Omega_1. Omega_2 = {c, d}, F_2 is the sigma algebra of all subsets of Omega_2, and P_2 is a measure on Omega_2. Determine the makeup of the set C

I am having difficulty formulating the proof for this problem. I understand the concepts but not sure how to go about the actual proof. Please help! In regards to J being an ideal I proved that no problem so I omitted those details from the problem.

Simplify. Assume all variables represent positive numbers. √ (x4 y3)

Simplify 3x2 - x [ 4 - 3 ( x - 4 )]

Evaluate √-4 if possible.

Evaluate if possible 3√ - 64 [cube root of -64] and 3√ 64 [cube root of 64] and √ -64 [sqrt(-64)] and √ 64 [sqrt(64) ]

Please see the attached file. Determine whether the given numbers are solutions of the inequality

Simplify ã (32x5y2) that is sqrt (32x5y2).

Please explain the steps in solving the following problems in the attachment: #12, 14, 16, 18, 26, 28, 36, 38

Solve the following path through an array problem. You must get the largest possible sum of 6 entries, one from each row, by starting at the best place in the 6th row, and moving between rows by going straight up, or by moving one column to the right or left. 0 -1 2 -4 -2 -2 1 1 -1 1 -1 1 -1 1 -2 -1 0

Simplify c^2 + c/c^2 Simplify x^2 - 13x + 42/x + 7 Simplify x -2/x^2 - 4x -4 Simplify x^2 + 9/x^2 -9 Simplify 3x + 5/2x +5