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Helga [31]
2 years ago
10

Simplify the expressions. √9a^2, if a<0 Please help with this

Mathematics
1 answer:
Rasek [7]2 years ago
4 0

CSC (x) , x = π

TAN (x) , x = -π

COS (x) , x = π/2

Step-by-step explanation:

You might be interested in
If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
3 0
3 years ago
Is this equation a linear relation, and please solve the equation?<br> -3x + 2y = 1
Liono4ka [1.6K]

Answer:

Step-by-step explanation:

It is a linear equation and the gradient equation is given as:

y=mx+c

Where m is the gradient and c is the y intercept

-3x+2y=1

2y=1+3x

Dividing all through by 2

y=1/2 + 3x/2

Therefore the gradient of this linear equation is 3/2 and the y intercept is 1/2

8 0
3 years ago
The circle below is centered at the point (4,3) and has a radius length 5. What is its equation
Crazy boy [7]
The equation of a circle centred at point (m,n) and radius r is given by

<span>(x-m)² + (y-n)² = r²
</span>-------------------------------------------------------------
Centre = (4,3)
radius = 5

Equation:
(x - 4)² + (y - 3)² = 5²
⇒ x² - 8x + 16 + y² - 6y + 9 = 25
⇒ x² + y² - 8x - 6y + 25 = 25
⇒ x² + y² - 8x - 6y = 0

The equation of the circle is x² + y² - 8x - 6y = 0

Hope it helps!
3 0
2 years ago
Read 2 more answers
Which graph represents the solution of the system?<br>x² + y² = 4 <br>x-y=1<br>​
QveST [7]

Answer:

the bottom left one

Step-by-step explanation:

5 0
3 years ago
Solve the equation: x^2 - 6x = 7 <br><br> A. x = 7 , 1<br> B. x = -7 , 1<br> C. x = 7 , -1
Alex777 [14]
<span>x^2 - 6x = 7
(x - 7)(x + 1)= 0 
x = 7, - 1

The answer is: x = 7, -1.</span>
6 0
3 years ago
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