What is the line segments between (4,-6) and (-6,-16)?

Mathematics

1 answer:

sergejj [24]2 years ago

6 0

The line segments between (4,-6) and (-6,-16) is 1.

slope = y2 -y1 /x2-x1 = -16+6/-6-4=-10/-10=1

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Determine which values of p the following integrals converge. Give your answer in each case by selecting the appropriate inequal

sashaice [31]

Answer:

Step-by-step explanation:

$\int\limits^2_1 {\frac{1}{x(lnx)^p} } \, dx$

this can be done by substitute lnx = u

dx/x = du

When x =1, u =0 and when x =2, u = ln 2

So integral = $\int\limits^{ln2} _0 {du/u^p} \\\=\frac{u^{-p+1} }{-p+1}$

We find that this integral value is not definid for p =1

Hence for values of p other than 1, this converges.

When we substitute limits

$\frac{1}{1-p} ((ln2)^{1-p} -1)$

and converges for p ≠1

b) $\int\limits^1_0 {lnx}/x^p \, dx \\\int \frac{\ln \left(x\right)}{x^p}dx=\frac{1}{-p+1}x^{-p+1}\ln \left(x\right)-\frac{x^{-p+1}}{\left(-p+1\right)^2}+C$

So not converging for p =1

But ln x is defined only for x >0

So integral 0 to 1 makes this integral not valid and hence not convergent.

7 0

3 years ago

A civil engineer is mapping the overhead clearance of his family’s property on a coordinate grid. The ground is represented by t

Rudik [331]

We are given
x1 = 10 ft
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x2 = 13 ft
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So,
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The distance is 15.81 ft to the closest treetop which is the tree 13 feet from the base of the house.

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2 years ago

Read 2 more answers

Solve −x+5≤4 or 2x+3≥−1. Note: Write the solution in interval notation.

Anastasy [175]

Answer:

[1 , +∞)

Step-by-step explanation:

$-x+5\leq 4\\x\geq 1\\2x+3\geq -1\\x\geq 1\\\\$