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liraira [26]
3 years ago
12

which of the following expressions is the definition of the derivative of f(x)=ln(x) at the point (5,ln5)

Mathematics
1 answer:
Doss [256]3 years ago
8 0
The definition of the derivative is
\frac{f(x + h) - f(x)}{h}
as h goes to 0. So since the f is ln(x)

\frac{ln(x+h)-ln(x)}{h}

Since it is evaluated at 5 (the point 5, ln5), it is

\frac{ln(5+h)-ln(5)}{h}
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Find two numbers if their difference is 16 and their ratio is 5:7.
myrzilka [38]

Let us say that the numbers are x and y. The given clues are:

1. x – y = 16         (so x is the larger number)

2. y / x = 5 / 7

 

rewriting eqtn 2 in terms of y:

y = (5/7) x

 

combining 1 and 2:

x – (5/7) x = 16

(2/7) x = 16

x = 56

 

y = (5/7) x = 40

 

So the two numbers are 56 and 40.

3 0
3 years ago
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lapo4ka [179]

Answer:

4. slices

Step-by-step explanation:

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3 years ago
Martha spent $38.45 on a new shirt and now has $17.71 in her pocket.
Lelechka [254]

Answer:

x + 17.71= 38.45

Step-by-step explanation:

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3 years ago
How does multiplying a vector by a scalar value of 2x change the vector?
GalinKa [24]
Recall that the direction of a vector can be seen from its slope, namely b/a.

let's take a peek at a couple of vectors, and multiply them by a scalar of 2.

hmmm say < 3 , 7 > , it has a slope of 7/3, now if we use a scalar of 2

2<3,7> => < 6 , 14 >, now, the slope of that is 14/6 which simplifies to, yeap, you guessed it, to 7/3, no change in the slope.

and say hmmmm < 11 , -2 >, slope of -2/11, let's multiply it by 2

2<11,-2> => <22 , -4 >, slope is -4/22 which simplifies to -2/11.

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Answer:

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