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Naddika [18.5K]
3 years ago
12

If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb. Find the angle between the

resultant and the larger force (nearest whole degree).
30°

52°

82°
Mathematics
1 answer:
Alchen [17]3 years ago
7 0
The force of 10 pounds is made up of the horizontal components  of the  8 and 5 pound forces

8 cos 30 + 5 cos 52 =  10 

so your answer is 30 degrees
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Answer:

\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

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If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

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Increase the power by 1, then divide by the new power.

Given <u>indefinite integral</u>:

\displaystyle \int x \ln x \:\: \text{d}x

To integrate the given integral, use Integration by Parts:

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\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}

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Therefore:

\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}

Learn more about integration here:

brainly.com/question/27805589

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2 years ago
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Answer:

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Step-by-step explanation:

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4 0
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Answer:

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Answer:

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