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3 years ago

I need help with this question. I think I already chose the correct answer but I'm not sure.

Mathematics

1 answer:

iris [78.8K]3 years ago

8 0

Answer:

B. cosθ ≠ 0

Step-by-step explanation:

As we notice, tanθ is a fraction. Fractions are undefined when the denominator is equal to or approaching 0 because one cannot divide by zero. Thus, the denominator in this case is cosθ, and therefore it cannot equal zero for the equation to be true.

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Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

5 0

3 years ago

How many solutions does this system have?

BigorU [14]

12x - 4y = -8

y = 3x + 2

Rewrite the first equation

12x + 8 = 4y

3x + 2 = y

As you see, the first and second equation are actually the same, meaning there's an infinite number of solutions.

6 0

3 years ago

Read 2 more answers

I NEED HELP!!! PLZ HELP!!!!!!!!!

Digiron [165]

Answer:

30.06

Step-by-step explanation:

The question states WHAT DID THEY PAY BEFORE INSTALATION CHARGES.

So 30.06$

588.34-555.28=30.06

3 0

3 years ago

Les gusta mi dibujo soy nueva

maksim [4K]

Answer:

Si, es muy bueno!

Step-by-step explanation:

4 0

1 year ago

May you all help me.I need to find this answer to help me study for my midterm test.I will give Brainliest.

Slav-nsk [51]

9514 1404 393

Answer:

x = 17
y = 26

Step-by-step explanation:

In the left problem, you use the fact that <em>the sum of the segment lengths is equal to the overall length</em>.

AC +CB = AB

(3x -4) +(x -2) = 62

4x -6 = 62 . . . . . collect terms

4x = 68 . . . . . . . add 6

x = 17 . . . . . . . . . . divide by 4

In the right problem, you use the fact that <em>the sum of the angles is equal to the overall angle</em>. Here, that overall angle is a linear angle, so measures 180°.

∠DFG +∠GFE = ∠DFE

(5y +3) +(2y -5) = 180

7y = 182 . . . . . . . . . . . . . . collect terms, add 2

y = 26 . . . . . . . . . . . . . . . .divide by 7

4 0

3 years ago