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Evaluate the Summation sum from i=1 to 6 of 8i
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Solution:
Step 1:
Extract the constant $8$ from the sum: $8 \sum_{i = 1}^{6} i$
St… |
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Evaluate the Summation sum from j=1 to 5 of (-1)^…
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Solution:
Step 1: Expansion of the Summation
Write out the terms of the summation for $j$… |
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Evaluate the Summation sum from j=1 to 9 of (-1/4…
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Solution:
Step 1: Understanding the Geometric Series
To calculate the sum of a finite geom… |
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Evaluate the Summation sum from j=1 to infinity o…
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Solution:
Step 1:
To determine the sum of an infinite geometric series, use the sum form… |
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Find dy/dx y=2x^3-2x
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Solution:
Step 1
Apply the differentiation operator $\frac{d}{dx}$ to both sides of the gi… |
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Find dy/dx y=2xe^x-2e^x
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Solution:
Step 1: Differentiate the equation with respect to $x$.
$\frac{d}{dx}(y) = \fr… |
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Find dy/dx y = natural log of sin(x)
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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=( natural log of x)/(x^7)
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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 x^2y-4xy^2=1
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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 2x^2-xy+y^2=4
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Solution:
Step:1
Take the derivative of both sides of the equation with respect to $x$: $… |
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Evaluate the Summation sum from j=1 to 5 of 3j-7
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Solution:
Step 1:
Write out the terms of the summation for each integer value of $j$ fro… |
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Evaluate the Summation sum from j=1 to 6 of (-1)^…
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Solution:
Evaluate the Summation
Step 1: Expand the Series
Write out each term of the… |
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Evaluate the Summation sum from j=1 to 6 of 5j^2
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Solution:
Step 1:
Extract the constant $5$ from the summation: $5 \sum_{j = 1}^{6} j^{2}… |
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Evaluate the Summation sum from j=3 to 5 of 1/(j^…
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Solution:
Step 1: Write out the summation for each term of j.
$\frac{1}{3^2 - 3} + \frac… |
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Evaluate the Summation sum from k=1 to 17 of 4k+4
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Solution:
Step 1: Decompose the given summation
Break down the original summation into tw… |
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Evaluate the Summation sum from k=1 to 20 of 5k+3
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Solution:
Step 1: Decompose the given summation
Break down the given summation into two s… |
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Evaluate the Summation sum from k=1 to 21 of k^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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Evaluate the Summation sum from k=1 to 500 of 7
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Solution:
Step 1:
The summation of a constant $c$ repeated $n$ times is given by the equ… |
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Evaluate the Summation sum from x=1 to 3 of x-1
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Solution:
Step 1:
Write out the terms of the summation for each integer value of $x$ fro… |
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Evaluate the Summation sum from x=1 to 3 of x
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Solution:
Step 1:
Write out the terms of the series by substituting $x$ with each intege… |