1. Prove by Mathematical Induction that 1³ +2³+...+n³ = ‘n(n+1) 2 2 for all integers n ≥ 1 3

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A: topic - linear inequalities

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A: topic- linear programming

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A: Solve by using quadratic formula w (w + 4 ) = -8

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A: Given function:  y=x-2

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A: Use simple interest formula

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A: Solution

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A: Follow the procedure given below.

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A: We can solve this as follows:

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A: Given problem:- The general solution to an inhomogeneous second order differential equation is:   y…

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A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

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A: Use the given conversion from degree to radians.

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A: Topic = Ellipse

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A: solution:--2x>-122x<12    {inequality changed when both sides are multiplied by…

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A: We can solve this as follows:

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A: See the details solution in below

Q: 7. Evaluate f(x) = 9 - 8x for f(-3). a) -15 b) 33 c) 20 d) none of the above

A: Given :f(x)=9-8x

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A: Explanation of the answer is as follows

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A: See the details solution in below

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A: Given query is to find the domain and range of the function.

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A: The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple…

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