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Basic Algebra

Solving a Taylor Series F(x)=x^4-2X^3+5X^2-6X+4 at x= -1

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.

Measurement

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

Measurement

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

Diameter

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.

Order of Operations

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

Log(-4)

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

Factoring

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

Discrete Logarithm Problem via Shank's Algorithm

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:

Prime and Maximal Ideals

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

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

Inequalities

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

Simplify

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

Path through an array problem

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