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2 years ago

How do I solve this?

Mathematics

1 answer:

Artemon [7]2 years ago

8 0

a^2 - b^2 = (a + b)(a - b)

In this case

49x^4y^2 - 4z^2

= (7x^2y)^2 - (2z)^2

= (7x^2y + 2z)(7x^2y - 2z)

Factors are (7x^2y + 2z) and (7x^2y - 2z)

Answer:

D) 7x^2y + 2z

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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

Which expression is equivalent to (7 + 2i)(-3 - 4i)?

malfutka [58]

B -13 -34i

(7 + 2i)(-3 - 4i)
Take the 7 then times it buy the second bracket 7x(-3-4i) then take 2i from the first bracket and times it with the second bracket 2ix (-3-4i)

Then keep simplifying

5 0

2 years ago

4. What is the equation? * Oy=2/3x+8 Oy=8x + 2/3

Lana71 [14]

Answer: 2/35

Step-by-step explanation:

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2 years ago

If we consider the toss of four coins as an experiment, how many equally likely outcomes does the sample space have?

Arturiano [62]

There are 16 possible outcomes.

This is found by taking the number of possible outcomes for each toss, 2, and raising it to the 4th power (for 4 tosses):

2⁴ = 2*2*2*2 = 16

6 0

3 years ago

Find the reference angle for 517° a.23° c.113° b.157° d.67°

MAXImum [283]

Should be 67 or 113 if not then it’s probably 157

6 0

3 years ago

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