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Phantasy [73]
3 years ago
15

Explain why the numerical expression 4 less than 20 is written as 20-4 and not 4-20

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0
When converting English phrases into mathematical expressions/equations, we do things from left to right. That is why it's 4 - 20 instead of 20 - 4.

This rule is applied to division as well.
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Answer:

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Step-by-step explanation:

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The integral itself can be evaluated by writing the root and exponent of the variable u as:   \sqrt[8]{u^3} =u^{\frac{3}{8}

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which evaluated between the limits of integration gives:

\frac{8}{11} t^\frac{11}{8}-\frac{8}{11} 0^\frac{11}{8}=\frac{8}{11} t^\frac{11}{8}

and now the derivative of this expression with respect to "t" is:

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b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:

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g(x)=\int\limits^x_a {f(t)} \, dt

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Since this this function u^{\frac{3}{8} is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:

\frac{d}{dt} \int\limits^t_0 {u^\frac{3}{8} } } \, du=t^\frac{3}{8}

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