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Evaluate the Summation sum from i=1 to 5 of 3i-1
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Solution:
Step 1: Expansion of the Series
Write out the terms of the summation for each i… |
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Evaluate the Summation sum from i=4 to 7 of 4^i
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Solution:
Step 1: Expand the Summation
Calculate each term in the summation individually … |
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Evaluate the Summation sum from j=1 to 5 of 4j-16
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Solution:
Step 1: Expansion of the Summation
Write out the terms of the summation for eac… |
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Evaluate the Summation sum from j=1 to 6 of 10j
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Solution:
Step 1:
Extract the constant $10$ from the summation: $10 \sum_{j = 1}^{6} j$
… |
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Evaluate the Summation sum from k=5 to 4 of 10k
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Solution:
Step 1:
When the lower limit of a summation is larger than the upper limit, we… |
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Evaluate the Summation sum from k=3 to 10 of (-4)…
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Solution:
Step:1
To calculate the sum of a finite geometric sequence, use the sum formula $S = a \… |
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Evaluate the Summation sum from k=1 to 4 of 1/(3k)
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Solution:
Step 1: Write out the series for each value of \( k \).
\[
\frac{1}{3 \cdot 1}… |
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Evaluate the Summation sum from k=1 to 4 of 1/(k-…
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Solution:
Step:1
Decompose the expression within the summation.
Step:1.1
Extract th… |
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Evaluate the Summation sum from n=1 to 90 of 3n-7
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Solution:
Step 1:
Decompose the given summation into two separate summations that are easier … |
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Evaluate the Summation sum from n=1 to 80 of 7-1/…
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Solution:
Step 1: Simplify the given summation expression.
- **Step 1.1**: Combine the c… |
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Evaluate the Summation sum from k=3 to 13 of 12k-…
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Solution:
Step 1:
Decompose the original summation to reset the lower limit of $k$ to $1… |
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Evaluate the Summation sum from m=1 to 25 of 50-m
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Solution:
Step 1:
Decompose the given summation into two separate summations that are ea… |
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Evaluate the Summation sum from n=1 to 5 of 1/(n+…
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Solution:
Step 1:
Write out the terms of the summation for each integer value of $n$ from 1 … |
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Find the Derivative - d/d@VAR f(t)=e^(5t)sin(t)
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Solution:
Step 1: Apply the Product Rule
Utilize the Product Rule for differentiation, wh… |
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Find the Derivative - d/d@VAR f(x)=8x^4
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Solution:
Step 1:
Identify that the number $8$ is a constant factor in the expression $8x… |
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Solve for x x- square root of x=12
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Solution:
Step:1
Isolate the square root term by subtracting $x$ from both sides: $- \sqrt… |
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Evaluate the Limit limit as x approaches 4 from t…
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Solution:
Step 1:
We observe that the numerator of the function $1/(x-4)$ remains constant at $1$… |
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Find dy/dx x^(2/5)+y^(2/5)=1
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Solution:
Step:1
Apply differentiation to both sides of the given equation with respect to… |
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Evaluate the Summation sum from i=1 to 72 of i/4
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Solution:
Step 1:
Extract the constant $\frac{1}{4}$ from the summation: $\frac{1}{4} \s… |
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Evaluate the Summation sum from i=1 to 5 of ((-1)…
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Solution:
Step:1
Write out the terms of the series for each integer value of $i$ from 1 to 5.
$$\… |