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Evaluate the Summation sum from k=4 to 5 of k^2-2k
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Solution:
Step:1
Write out the terms of the summation for each integer value of $k$ within… |
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Evaluate the Summation sum from k=5 to 4 of 2*5k
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Solution:
Step 1: Simplify the given summation expression.
Step 1.1: Perform the mul… |
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Evaluate the Summation sum from n=1 to 7 of n+15
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Solution:
Step 1
Decompose the given summation into two separate summations that adhere t… |
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Evaluate the Summation sum from n=1 to 6 of (2/3)…
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Solution:
Step 1: Understanding the Geometric Series
To calculate the sum of a finite geometri… |
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Evaluate the Summation sum from n=1 to 8 of (-1)^n
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Solution:
Step 1:
To calculate the sum of a finite geometric series, use the formula $S … |
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Evaluate the Summation sum from n=1 to 7 of 5n
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Solution:
Step 1:
Extract the constant $5$ from the summation: $5 \sum_{n = 1}^{7} n$
… |
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Evaluate the Summation sum from n=17 to 20 of n-4
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Solution:
Step 1: Write out the terms of the summation
List each term of the summation by … |
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Find dy/dx y=x^12
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Solution:
Step 1:
Apply the differentiation operator $\frac{d}{dx}$ to both sides of the… |
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Find dy/dx y=x^3e^(x^5)
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Solution:
Problem Rephrasing:
Calculate the derivative of the function $y = x^3 e^{x^5}$ w… |
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Find dy/dx y=x^2-2x-3
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Solution:
Step:1
Apply differentiation to each term in the equation $y = x^2 - 2x - 3$ to find… |
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Find dy/dx y=x+1/x
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Solution:
Step 1:
Apply the derivative operator $\frac{d}{dx}$ to both sides of the equat… |
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Find dy/dx y=(3x+5)^10
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Solution:
Step 1:
Take the derivative of both sides of the given equation with respect t… |
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Find dy/dx y=(3x^2-9)^-13
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Solution:
Step 1:
Take the derivative of both sides of the equation with respect to $x$: … |
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Find dy/dx y=(4x-7)^5(5x+8)^3
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Solution:
Step:1
Take the derivative of both sides with respect to $x$: $\frac{d}{dx} y = … |
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Find dy/dx y=cos(x^2)
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Solution:
Step 1:
Apply the derivative operator to both sides of the equation: $\frac{d}… |
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Find dy/dx y(x^2+16)=32
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Solution:
Step 1:
Take the derivative of both sides with respect to $x$: $\frac{d}{dx}(y(… |
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Find dy/dx y(x^2+81)=162
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Solution:
Step 1:
Apply the derivative operator $\frac{d}{dx}$ to both sides of the equa… |
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Find dy/dx xy=12
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Solution:
Step 1:
Apply the derivative operator to both sides of the given equation: $\frac… |
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Find dy/dx y^2+6y+9x=0
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Solution:
Step 1:
Take the derivative of each term in the equation $y^2 + 6y + 9x = 0$ wi… |
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Evaluate the Summation sum from i=1 to 5 of 2 squ…
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Solution:
Step 1: Expansion of the Summation
Write out the terms of the summation explici… |