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Find dy/dx 4x^2-2xy^2+5y-9=0
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Solution:
Step 1:
Take the derivative of the entire equation with respect to $x$: $\frac{… |
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Find dy/dx 5e^(xy)+3y^2=7
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Solution:
Step 1:
Apply the derivative operator to both sides of the given equation: $\fr… |
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Find dy/dx e^(4xy)=3y
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Solution:
Step 1:
Apply the derivative operator $\frac{d}{dx}$ to both sides of the equa… |
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Evaluate the Summation sum from i=8 to 6 of (i-1)…
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Solution:
Step 1: Simplify the given summation expression.
- **Step 1.1**: Express $(i -… |
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Evaluate the Summation sum from j=1 to 5 of sin((…
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Solution:
Step 1:
Write out the summation for each individual term where $j$ ranges from 1 t… |
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Evaluate the Summation sum from j=0 to 4 of (-1)^j
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Solution:
Step 1: Write out the terms of the series
The series is expanded to show each t… |
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Evaluate the Summation sum from k=1 to 12 of 9
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Solution:
Step 1:
Identify the summation formula for a constant value, which is given by… |
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Evaluate the Summation sum from k=1 to 15 of 5+3(…
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Solution:
Step 1: Simplify the given summation expression.
- **Step 1.1:** Break down th… |
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Evaluate the Summation sum from k=0 to 9 of 2^k
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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 infinity o…
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Solution:
Step 1:
To determine the sum of an infinite geometric series, use the formula $… |
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Evaluate the Summation sum from k=1 to infinity o…
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Solution:
Step 1:
To determine the sum of an infinite geometric series, we use the sum f… |
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Evaluate the Summation sum from x=2 to 12 of 4(-3…
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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 x=2 to 5 of 2^x+3…
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Solution:
Step:1
List out the terms of the summation for each integer value of $x$ from $2… |
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Evaluate the Summation sum from x=2 to 7 of (x+1)…
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Solution:
Step 1:
Write out the terms of the summation for each integer $x$ from 2 to 7.
$1… |
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Evaluate the Summation sum from x=51 to 100 of 7x
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Solution:
Step 1:
Adjust the range of the summation to start from $x=1$.
$$\sum_{x=51}^… |
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Evaluate the Summation sum from i=1 to 10 of 9i-3
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Solution:
Step 1
Decompose the given summation into two separate summations using the dis… |
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Evaluate the Summation sum from i=1 to 10 of -3i+7
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Solution:
Step 1:
Decompose the given summation into two separate summations according t… |
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Evaluate the Summation sum from i=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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Evaluate the Summation sum from i=1 to 8 of 3i-1
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Solution:
Step:1
Decompose the given summation into two separate summations that adhere t… |
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Find dy/dx y=cos(x)^8
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Solution:
Step 1:
Take the derivative of both sides of the equation with respect to $x$:… |