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Tanya [424]
3 years ago
14

If a function is derivable at a point it is also continous at that point explain why?

Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0
For a function to have a derivative in a point has to be continuous at the point, that is, it has to be defined at that point, other wise the derivative would be meaningless.
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Add the product of (-16) and (-9) to the quotient of (-132) by 6.​
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2 years ago
Choose as many answers as apply.
alexandr1967 [171]

Answer:

  • multiplying a multi-digit number by itself several times (finding the power of a number)
  • finding a square root
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Step-by-step explanation:

We don't know what your introduction tells you, but the above-listed operations are ones I choose to use a calculator for. I also use a calculator for ordinary arithmetic, such as division by numbers with 2 digits or more. (It is simply faster and requires no scratch paper.)

If statistical calculations are not done with a calculator, they at least require the availability of suitable tables.

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3 years ago
A computer manufacturer releases a new laptop model. The total sales of this computer can be modeled by the function S(t)=75/1+5
maksim [4K]
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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

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