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Evaluate the Summation sum from i=1 to 5 of 4i-9
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Solution:
Step 1: Expansion of the Summation
Write out the terms of the summation for each… |
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Evaluate the Summation sum from i=3 to 7 of -(-2/…
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Solution:
Step:1
Firstly, write out the terms of the summation individually for each value of $i$ … |
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Evaluate the Summation sum from k=1 to 9 of 2^(k-…
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Solution:
Step 1:
To calculate the sum of a finite geometric series, we use the formula … |
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Evaluate the Summation sum from k=1 to 7 of k^3
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Solution:
Step 1:
Utilize the standard formula for the sum of cubes up to a certain numb… |
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Evaluate the Summation sum from k=1 to 8 of 10(-2…
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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 k=1 to 7 of 36-2^k
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Solution:
Step 1: Decompose the given summation into two separate summations.
$\sum_{k =… |
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Evaluate the Summation sum from n=3 to 9 of n+2
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Solution:
Step 1
Transform the original summation to start from $n=1$ by subtracting the … |
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Evaluate the Summation sum from n=2 to 5 of 4n
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Solution:
Step 1:
Write out the terms of the summation for each integer value of $n$ fro… |
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Evaluate the Summation sum from p=0 to infinity o…
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Solution:
Step:1
To determine the sum of an infinite geometric series, we use the formula … |
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Evaluate the Summation sum from x=0 to 1 of 2x-1
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Solution:
Step 1:
Write out the terms of the series for each value of \( x \): \( 2 \cdo… |
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Evaluate the Summation sum from i=1 to 10 of 5i
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Solution:
Step 1:
Extract the constant $5$ from the summation: $5 \sum_{i = 1}^{10} i$
… |
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Evaluate the Summation sum from i=1 to 21 of (i-8…
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Solution:
Step 1: Simplify the given summation expression.
Step 1.1: Express $(i - 8… |
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Evaluate the Summation sum from i=1 to 21 of i(i-…
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Solution:
Step 1: Simplify the given summation expression.
Step 1.1: Rewrite the squar… |
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Evaluate the Summation sum from i=1 to 14 of i^2
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Solution:
Step 1:
Utilize the standard formula for the sum of squares of the first $n$ n… |
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Find dy/dx xy^3-7y+y^2-4=0
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Solution:
Step:1
Apply differentiation to both sides of the equation with respect to $x$: … |
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Find dy/dx y^2=2x
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Solution:
Step:1
Take the derivative of both sides with respect to $x$. $\frac{d}{dx}(y^2) = \… |
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Find dy/dx y^2=3x
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Solution:
Step 1:
Apply differentiation to both sides of the equation with respect to $x… |
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Find dy/dx y^2-4xy+x^2=10
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Solution:
Step 1:
Take the derivative of both sides of the equation $y^2 - 4xy + x^2 = 10… |
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Find dy/dx xe^y=ysin(x)
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Solution:
Step 1:
Take the derivative of each side with respect to $x$: $\frac{d}{dx}(xe^… |
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Find dy/dx x^9y^7-y=x
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Solution:
Step:1
Apply the derivative operator to both sides of the given equation: $\frac… |