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Determine if Continuous f(x)=3/x
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Solution:
Step 1: Identify the Domain for Continuity
To assess the continuity of the funct… |
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Find the Second Derivative s=6t^5-5t^6
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Solution:
Step 1: Compute the first derivative of the function.
- **Step 1.1**: Apply th… |
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Find dy/dx y=sin(6x)
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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=arcsin(4x^5)
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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=xcos(x)
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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 x^2+xy+2y^2=16
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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 e^x-y=xy^3+e^2-18
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Solution:
Step 1
Take the derivative of both sides with respect to $x$: $\frac{d}{dx}(e^x … |
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Find dy/dx y = seventh root of x
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Solution:
Step 1:
Transform the expression $\sqrt[7]{x}$ into exponential form as $x^{\frac{1… |
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Evaluate the Summation sum from i=1 to 4 of 1/(3i)
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Solution:
Step 1: Write out the series for the given range of $i$.
$\frac{1}{3 \cdot 1} … |
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Evaluate the Summation sum from i=1 to 4 of 4i+1
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Solution:
Step 1:
Write out the terms of the summation for each value of $i$: $4 \cdot 1 … |
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Evaluate the Summation sum from i=1 to 6 of 1/6*3…
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Solution:
Step:1
To calculate the sum of a finite geometric sequence, use the formula $S … |
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Evaluate the Summation sum from k=2 to 6 of (-1)^…
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Solution:
Step 1: Expansion of the Summation
Write out the summation for each individual term … |
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Evaluate the Summation sum from k=2 to 4 of -k^2+…
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Solution:
Step 1: Expand the Summation
Write out the terms of the summation for each integ… |
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Evaluate the Summation sum from k=2 to 4 of k(k+3)
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Solution:
Step 1: Break down the summation expression.
- **Step 1.1**: Utilize the distr… |
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Evaluate the Summation sum from k=2 to 4 of k^3
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Solution:
Step:1
List out each term of the summation with the corresponding power of $k$.
… |
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Determine if Continuous f(x)=8/x
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Solution:
Step:1
Identify the domain to check the continuity of the function.
Step:… |
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Determine if Continuous f(x)=x/(x^2+x+3)
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Solution:
Step 1: Identify the domain to verify continuity of the function.
- **Step 1.1… |
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Find the Critical Points y=x^3-7x^2-5x+8
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Solution:
Step:1
Determine the first derivative of the function.
Step:1.1
Calculate … |
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Find the Vertex (x^2)/16+(y^2)/9=1
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Solution:
Step 1:
Rewrite the given equation to match the standard form of an ellipse eq… |
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Find dy/dx y=x natural log of x-x
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Solution:
Step:1
Take the derivative of both sides with respect to $x$: $\frac{d}{dx}(y) =… |