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Paraphin [41]
3 years ago
6

How are the dividend and divisor of a division expression related to parts of a fraction

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
I donutttttwwwwwwwwwwwwwwwwwwwwwwww
ttttttt kno
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Alexeev081 [22]
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2 years ago
find the slope of the curve y=x^2-2x-5 at the point P(2,5) by finding the limit of secant slopes through point P
Fynjy0 [20]

The point (2, 5) is not on the curve; probably you meant to say (2, -5)?

Consider an arbitrary point Q on the curve to the right of P, (t,y(t))=(t,t^2-2t-5), where t>2. The slope of the secant line through P and Q is given by the difference quotient,

\dfrac{(t^2-2t-5)-(-5)}{t-2}=\dfrac{t^2-2t}{t-2}=\dfrac{t(t-2)}{t-2}=t

where we are allowed to simplify because t\neq2.

Then the equation of the secant line is

y-(-5)=t(x-2)\implies y=t(x-2)-5

Taking the limit as t\to2, we have

\displaystyle\lim_{t\to2}t(x-2)-5=2(x-2)-5=2x-9

so the slope of the line tangent to the curve at P as slope 2.

- - -

We can verify this with differentiation. Taking the derivative, we get

\dfrac{\mathrm dy}{\mathrm dx}=2x-2

and at x=2, we get a slope of 2(2)-2=2, as expected.

4 0
3 years ago
If a=8 and b=3, evaluate the following expression:2a+3b​
hjlf

Answer:

25

Step-by-step explanation:

okay, so we plug our numbers into the equation:

2a+3b = 2x8+3x3

2x8 = 16

3x3=9

16+9 = 25

7 0
3 years ago
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Please help and tysm!! :)) <3 ​
kvv77 [185]

Answer:

39

Step-by-step explanation:

above 50 it's nearest 100.

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2 years ago
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A

Step-by-step explanation:

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