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PSYCHO15rus [73]
3 years ago
13

If csc θ = -5/4 on the interval (270°, 360°), find tan θ.

Mathematics
1 answer:
adell [148]3 years ago
6 0
I believe the answer is 3
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6h^5+0h^4-12h^3+0h^3+0h=0
aliya0001 [1]
<h2>The value of h = 0,  ± \sqrt{2}</h2>

Step-by-step explanation:

We have,

6h^5+0h^4-12h^3+0h^3+0h=0

To find, the value of h = ?

∴ 6h^5+0h^4-12h^3+0h^3+0h=0

⇒ 6h^5 + (0)h^4 - 12h^3 + (0)h^3 + (0)h = 0

⇒ 6h^5 + 0 - 12h^3 + 0 + 0 = 0

⇒ 6h^5  - 12h^3 = 0

Taking 6 h^3 as common, we get

6h^3(h^2-2) = 0

⇒6h^3 = 0 or,   h^2 - 2 = 0

⇒ 6h^3 = 0 ⇒ h = 0

⇒ h^2 = 2  

⇒ h = ± \sqrt{2}

Hence, the value of h = 0,  ± \sqrt{2}

7 0
4 years ago
Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
qwelly [4]

Answer:

A)

\displaystyle \frac{dy}{dt}=-\frac{33}{8}

B)

\displaystyle \frac{dx}{dt}=\frac{3}{2}

Step-by-step explanation:

<em>x</em> and <em>y</em> are differentiable functions of <em>t, </em>and we are given the equation:

xy=6

First, let's differentiate both sides of the equation with respect to <em>t</em>. So:

\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]

By the Product Rule and rewriting:

\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0

Therefore:

\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0

A)

We want to find dy/dt when <em>x</em> = 4 and dx/dt = 11.

Using our original equation, find <em>y</em> when <em>x</em> = 4:

\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}

Therefore:

\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0

Solve for dy/dt:

\displaystyle \frac{dy}{dt}=-\frac{33}{8}

B)

We want to find dx/dt when <em>x</em> = 1 and dy/dt = -9.

Again, using our original equation, find <em>y</em> when <em>x</em> = 1:

(1)y=6\Rightarrow y=6

Therefore:

\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0

Solve for dx/dt:

\displaystyle \frac{dx}{dt}=\frac{3}{2}

5 0
3 years ago
Solve for x. Show each step of the solution. 4.5(4 − x ) + 36 = 202 − 2.5(3x + 28)
Xelga [282]

Answer:

drdh

Step-by-step explanation:


7 0
4 years ago
Find the average speed 51 meters in 4 minutes and 15 sec
Usimov [2.4K]
0.4473 mph
0.7200 kmh
0.2000 meters/sec
39.3700 feet/minute
7 0
4 years ago
What's 2+2-7*22? i cant figure it out with mental math
maks197457 [2]
If its 7 times 22 then the answer is negative 36.
4 0
3 years ago
Read 2 more answers
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