All categories

3 years ago

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

Mathematics

1 answer:

Dahasolnce [82]3 years ago

7 0

Answer:

Indefinite integral of the expression will be $16lnx+16x$

Step-by-step explanation:

We have given expression $I=\int( \frac{16}{\sqrt{x^2}}+16)dx=\int (\frac{16}{x}+16)dx$

We have to integrate this function

So I=\int( \frac{16}{\sqrt{x^2}}+16)dx=\int (\frac{16}{x}+16)dx=\int (16x^{-1}+16)dx

$I=\int (16x^{-1}+16)dx=16lnx+16x$

So indefinite integral of the expression will be $16lnx+16x$

You might be interested in

10/14-10/18

chubhunter [2.5K]

Answer:

1lb 2 ounces

Step-by-step explanation:

Just multiply 3 by 5.9

4 0

4 years ago

Ruben bought 2 large popcorn buckets and 4 small drinks for $20. Lucia bought 2 large popcorn buckets and 2 small drinks for $14

soldier1979 [14.2K]

Answer:

$3 for the small drinks and $4 for the large popcorn

Step-by-step explanation:

so we know that 2 popcorns and 4 small drinks give us $20 and 2 popcorns and 2 drinks gives us 14. so $6 was taken away because of two drinks and 6÷2 equals 3 therefore $3 is how much a small drink costs. after taking away another 6 from 14 because we found the costs of drinks we get $8 for two popcorns and 8÷2 is 4 so a large popcorn costs $4

4 0

3 years ago

Read 2 more answers

Find the extreme values of f subject to both constraints. (if an answer does not exist, enter dne.) f(x, y, z) = x + 2y; x + y +

Mariana [72]

Using the method of Lagrange multipliers, we have the Lagrangian

$L(x,y,z,\lambda_1,\lambda_2)=x+2y+\lambda_1(x+y+z-4)+\lambda_2(y^2+z^2-4)$

with partial derivatives (set equal to 0)

$L_x=1+\lambda_1=0\implies\lambda_1=-1$
$L_y=2+\lambda_1+2\lambda_2y=0\implies\lambda_2y=-\dfrac12$
$L_z=\lambda_1+2\lambda_2z=0\implies\lambda_2z=\dfrac12$
$L_{\lambda_1}=x+y+z-4=0$
$L_{\lambda_2}=y^2+z^2-4=0$

From $L_y$ and $L_z$ , we find that $\lambda_2y=-\lambda_2z\implies y=-z$ . Then substituting into $L_{\lambda_2}$ , we find

$y^2+z^2=4\implies2y^2=4\implies y=\pm\sqrt2\implies z=\mp\sqrt2$

and substituting these into $L_{\lambda_1}$ , we get

$x+y+z=4\implies x=4$

So we have two possible critical points, $(4,\pm\sqrt2,\mp\sqrt2)$ , which give extreme values of $4+2\sqrt2$ and $4-2\sqrt2$ , respectively.

5 0

3 years ago

What is the decimal 3.4 written in word form

Rama09 [41]

Answer:

three and four tenths

Step-by-step explanation:

7 0

3 years ago

A 8-inch tall sunflower is planted in a garden and the height of the sunflower increases exponentially. 5 days after being plant

Keith_Richards [23]

Answer:

The growth factor is approximately 0.11 or 11%.

Step-by-step explanation:

We have been given that a 8-inch tall sunflower is planted in a garden and the height of the sunflower increases exponentially. 5 days after being planted the sunflower is 13.4805 inches tall.

We will use exponential growth formula to solve our given problem.

$y=a\cdot (1+r)^x$ , where,