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LenKa [72]
3 years ago
14

Which of these is a tangent line to y= -x^2 at x=4

Mathematics
1 answer:
love history [14]3 years ago
3 0

Answer:

Step-by-step explanation:

an equation of this tangent is : y = f'(4)(x-a)+f(4)

a = f'(4)

f(x) = - x²

a=4

f'(x) = -2x

f'(4) = -2(4) = -8

f(4) = -(4)² = -16

so : y = - 8 (x-4)-16

  y = - 8x +16

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<h3><u>Solution:</u></h3>

Given that a cylindrical well has a radius of 10 feet

Height of cylindrical well = 15 feet

To find: volume of water will it take to fill in the well

Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well

<em><u>The volume of cylinder is given as:</u></em>

\text { Volume of water in the well }=\pi r^{2} h

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\begin{array}{l}{\text { Volume of water in the well }=(3.14) \times(10)^{2} \times(15)} \\\\ {=(3.14) \times(1500)=4710}\end{array}

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