All categories

2 years ago

X^(log_(\sqrt(x))(x-3))=4

Mathematics

1 answer:

Zina [86]2 years ago

3 0

Answer:

X= -4

Step-by-step explanation:

You might be interested in

Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.

rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed as:

$y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}$

Thus, the area of the surface is as follows:

$\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA$

$= \iint_D \sqrt{x^2 +y^2 +1 } \ dA$

$= \int^{2 \pi}_{0} \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr \ d \theta$

$=2 \pi \int^{6}_{0} \ r \sqrt{r^2 +1 } \ dr$

$= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0$

$= 2 \pi \times \dfrac{1}{3} \Bigg [ (37)^{3/2} - 1 \Bigg]$

$= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]$

3 0

2 years ago

I do believe i need help.

zysi [14]

Answer:

Step-by-step explanation:

Can't have 0 in the denominator

5 0

3 years ago

PLS HELP ME WITH FINDING THE VOLUME OF THIS SOLID

Fofino [41]

Lwh = (3+3+6) (4) (7)

12 x 4 x 7 = 336

3 0

3 years ago

Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag

8090 [49]

Answer:

Step-by-step explanation:

he has 1/4 remaining as he has only used 3/4

5 0

2 years ago

Keith bought 4 shirts for $36 at this rate what would his cost be for 7 shirts

Norma-Jean [14]

Answer:

$63

Step-by-step explanation:

we know that

Keith bought 4 shirts for $36

using proportion

Find out would be the cost for 7 shirts

Let

x ----> the cost for 7 shirts

$\frac{4}{36}\ \frac{shirts}{\$}=\frac{7}{x}\ \frac{shirts}{\$}\\\\x=36(7)/4\\\\x=\$63$

3 0

3 years ago