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Burka [1]
3 years ago
13

Find the slope of the tangent line

align="absmiddle" class="latex-formula"> = f'(a) and then find the equation of the tangent line to f at x = a
f(x) = \frac{10}{x} ; a = 3
Mathematics
1 answer:
aniked [119]3 years ago
8 0

9514 1404 393

Answer:

 10x +9y = 60

Step-by-step explanation:

The equation for the tangent line at a point is ...

  y -f(a) = f'(a)(x -a)

For the given function,

  f(x) = 10/x

The derivative is ...

  f'(x) = -10/x^2

Then the equation of the tangent line is ...

  y -10/3 = -10/9(x -3) . . . . equation of the tangent line (point-slope form)

Clearing fractions, we have ...

  9y -30 = -10(x -3) = -10x +30

  10x +9y = 60 . . . . . equation in standard form

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SIZIF [17.4K]

Answer:

The radius of cylinder is 14 inches

Step-by-step explanation:

Given that the volume of cylinder is 196π in² and the height is 1 in . The formula for it is V = πr²h. Then you can substitute the following value into the formula:

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6 0
3 years ago
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If 3x + 6y = 7z, find x + 2y in terms of z.
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3 years ago
Find the value of x in a triangle. x-20, x+10, x-20
tatyana61 [14]

The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)

Sum of all the interior angles of a triangle is 180°.

So a equation can be made by the given data,

(x-40°) + (x-20°) + (½ x-10°) = 180°

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The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.

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Answer:

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3 years ago
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Please help me. I'm lost.
amm1812
Yes cause he can decrease the perimeter in any way and it would change the area and idk the other 2 in the front
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