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yawa3891 [41]
3 years ago
10

Use the table of integrals, or a computer or calculator with symbolic integration capabilities, to find the indefinite integral.

Mathematics
1 answer:
noname [10]3 years ago
7 0

Answer:

Value of the integral will be equal to \frac{x^2}{2}+15x+c

Step-by-step explanation:

We have given the expression \int( \sqrt{x^2}+15)dx

We have to find the integral of the given expression

So \int( \sqrt{x^2}+15)dx=\int (x+15)dx

Now integrating

\int (x+15)dx=\frac{x^2}{2}+15x + c

So value of the integral will be equal to \frac{x^2}{2}+15x+c

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3-2i/1+4i include each step necessary in simplifying
Likurg_2 [28]

Answer:

\frac{3-2i}{1+4i}=\frac{11}{17}-\frac{10}{17}i

Step-by-step explanation:

\frac{3-2i}{1+4i} <-- Given

\frac{3-2i}{1+4i}*\frac{1-4i}{1-4i} <-- Multiply by the conjugate of the denominator as a factor of 1

\frac{(3-2i)(1-4i)}{(1+4i)(1-4i)}

\frac{(3)(1)+3(-4i)-2i(1)-2i(4i)}{(1)(1)+1(-4i)+4i(1)+4i(-4i)} <-- Use the Distributive Property and FOIL

\frac{3-12i-2i-8i^2}{1-4i+4i-16i^2}

\frac{3-10i-8i^2}{1-16i^2}

\frac{3-10i-8(-1)}{1-16(-1)} <-- Rewrite i^2 as -1

\frac{3-10i+8}{1+16}

\frac{11-10i}{17}

\frac{11}{17}-\frac{10}{17}i <-- Rewrite in a\pm bi form

8 0
3 years ago
Select the expression that is equivalent to m(y + o).
9966 [12]

Answer:

Option B is correct.

Step-by-step explanation:

m(y + o)

=> my + mo

Therefore, Option B is correct.

Hoped this helped.

3 0
3 years ago
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felicia went out to dinner with friends. when the check came, she said she would pay the tip. the tip was 10 percent of the tota
kiruha [24]

Answer:

$2.20

Step-by-step explanation:

The tip is 10% of $22, or 0.1 * 22 = 2.2

So $2.20 (we can add a hidden 0 on the end)

5 0
3 years ago
Https://brainly.com/question/23859122
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Answer:

Step-by-step explanation:

cuals  t preugnut?ae

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3 years ago
(1 point) How many ways can you give 9 (identical) apples to your 5 favourite Mathematics lecturers (without any restrictions)?
cricket20 [7]

Answer:

126

Step-by-step explanation:

Total number of apples = 9

Number of favourite Mathematics lecturers = 5

To find number of ways in which 9 (identical) apples can be given to your 5 favourite Mathematics lecturers, find C(9,5)

Combination refer to selection of items such that order does not matter.

Use C(n,p)=\frac{n!}{p!(n-p)!}

Put n=9,p=5

C(9,5)=\frac{9!}{5!(9-5)!}\\=\frac{9!}{5!4!}\\=\frac{9(8)(7)(6)5!}{5!4!} \\=\frac{9(8)(7)(6)}{4(3)(2)(1)}\\=126

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3 years ago
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