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frosja888 [35]
3 years ago
5

The table below shows the cube roots of different numbers: Number (x) 27 −27 125 −125 Cube root of the number (y) 3 −3 5 −5

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0
Part A

The table does represent y as a function of x because each input (values of x) related to exactly one output. Refer to the diagram below.

Part B

We have
f(x) = 925x + 1000
f(24) = 925 (24) + 1000
f(24) = 23200

f(24) represent the value of renting for 24 months

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The equation of the tangent line to the curve

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

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

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<u><em>step(ii):-</em></u>

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

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Taking common d y/d x

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

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put At (0,2)

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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

<u><em>Final answer:-</em></u>

The equation of the tangent line to the curve

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