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2 years ago

Xyz^(2) if x=2 y=7 and z=-4

Mathematics

1 answer:

Afina-wow [57]2 years ago

8 0

Answer:

-224

Step-by-step explanation:

xyz^2

(2)(7)(-4)^2

14 x -16

-224

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Find the particular solution to y'=2sin(x) given the general solution is y=C-2cos(x) and the initial condition y(pi/3)=1

mezya [45]

ANSWER

The particular solution is:

$y=2-2 \cos(x)$

EXPLANATION

The given Ordinary Differential Equation is

$y'=2 \sin(x)$

The general solution to this Differential equation is:

$y=C-2 \cos(x)$

To find the particular solution, we need to apply the initial conditions (ICs)

$y( \frac{\pi}{3} ) = 1$

This implies that;

$C-2 \cos( \frac{\pi}{3} ) = 1$

$C-2( \frac{1}{2} )= 1$

$C-1= 1$

$C= 1 + 1 = 2$

Hence the particular solution is

$y=2-2 \cos(x)$

4 0

3 years ago

What expression simplifies to 2i ? help asap lots of points

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

First, consider the following expression.

(6x + 8) + (4x + 2)

To simplify this expression, you combine the like terms, 6x and 4x. These are like terms because they have the same variable with the same exponents. Similarly, 8 and 2 are like terms because they are both constants, with no variables.

(6x + 8) + (4x + 2) = 10x + 10

5 0

2 years ago

Read 2 more answers

I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a chal

scoundrel [369]

1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational. Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. √4 = 2, rational.

√4 + √16 = 2 + 4 = 6. rational
√5 + √36... irrational
√9 + √24... irrational
2 × √4 = 2 × 2 = 4. rational
√49 × √81 = 7 × 9 = 63. rational
3√12... irrational

2. $n^\frac12=\sqrtn$
$9^\frac32=9^3\times\frac12=\sqrt{9^3}=\sqrt{729}=29$

3. $\frac{n^a}{n^b}=n^{a-b}$

$\frac{a^\frac13}{a^\frac14}=a^{\frac13-\frac14}=a^{\frac{1}{12}}$

4. $n^\frac1x=\sqrt[x]n$

$\sqrt[3]{m^2n^5}=m^{\frac23}n^{\frac53}$

5. $\sqrt{a}\times\sqrt{b}=\sqrt{ab}$

$\sqrt{3}\times\sqrt{12}=\sqrt{3\times12}=\sqrt{36}=6$

A, since neither 3 nor 12 is a square but we end up with 6.

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3 years ago

What is it ansewerr 1/5 of 45

Drupady [299]

Answer:

Step-by-step explanation:

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3 0

2 years ago

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find 3 consecutive even integers such that the sum of the smaller 2 is 6 less than twice the largest one

saw5 [17]

n, n + 2, n + 4 - three consecutive even integers

n + 2 = 2(n + 4) - 6 |use distributive property

n + 2 = (2)(n) + (2)(4) - 6

n + 2 = 2n + 8 - 6

n + 2 = 2n + 2 |subtract 2 from both sides

n = 2n |subtract 2n from both sides

-n = 0

n = 0

n + 2 = 0 + 2 = 2

n + 4 = 0 + 4 = 4

Answer: 0, 2, 4.

6 0

3 years ago