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2 years ago

To 3 d.p.

Mathematics

1 answer:

BartSMP [9]2 years ago

7 0

Answer:

12 cm (I don't understand bro):(

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Identify the steeper line y = 3x + 4 or y = 6x + 11

VLD [36.1K]

Step-by-step explanation:

the steeper line is y = 6x + 11 because its gradient 6, is bigger than 3

5 0

2 years ago

Read 2 more answers

Help! The measure of the exterior angle of the triangle is???

just olya [345]

Answer:

92°

Step-by-step explanation:

The exterior angle is equal to the sum of the 2 opposite interior angles, that is

2x - 2 = x + 45 ( subtract x from both sides )

x - 2 = 45 ( add 2 to both sides )

x = 47

Then

exterior angle = 2x - 2 = 2(47) - 2 = 94 - 2 = 92°

5 0

2 years ago

Write the following number in standard decimal form.

Anestetic [448]

Answer: 6.534 x 10^(-1)

Step-by-step explanation:

Six thousand five hundred and thirty four ten thousandth

6534/10000

Convert to decimal

6534/10000=0.6534

Then convert to standard form

0.6534=6.534 x 10^(-1)

4 0

3 years ago

Find the equation of the tangent line to the curve 2exy=x+y at (0,2).

DiKsa [7]

Answer:

The equation of the tangent line to the curve

3 x - y = 2

Step-by-step explanation:

Step(i):-

Given function = f(x,y) = $2e^{xy} -x-y=0$ ...(i)

Differentiating equation (i) with respective to 'x' , we get

$2 e^{xy} \frac{d}{d x} (x y) -1 -\frac{dy}{dx} =0$

apply formula

$\frac{d}{dx} (UV) = UV^{l} +V U^{l}$

step(ii):-

⇒ $2 e^{xy} (x(\frac{d}{d x} ( y))+y(1)) -1 -\frac{dy}{dx} =0$

⇒ $2 e^{xy} (x(\frac{d}{d x} ( y))+ 2e^{xy} y(1)) -1 -\frac{dy}{dx} =0$

Taking common d y/d x

$(2 e^{xy} (x) -1)\frac{dy}{dx} =1- 2e^{x y} y(1))$

$\frac{dy}{dx} =\frac{1- 2e^{x y} y(1))}{(2 e^{xy} (x) -1)}$

put At (0,2)

$\frac{dy}{dx} =\frac{1- 2e^{0} 2(1))}{(2 e^{0} (0) -1)}=\frac{1-4}{-1} =3$

slope of the curve m = 3

Step(iii):-

The equation of the tangent line to the curve

$y-y_{1} =m(x-x_{1} )$

y - 2 = 3 ( x - 0 )

3 x - y = 2

Final answer:-

The equation of the tangent line to the curve

3 x - y = 2

8 0

2 years ago

Please help me!! I’m so behind

olganol [36]

Answer:

Step-by-step explanation:

8 0

3 years ago