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valina [46]
3 years ago
11

Which set of ordered pairs does not represent a function? {(-3, -3),(-6, -7), (6,-3), (–9, 2)} {(8,–8), (-9,5), (9,-2), (-2,-8)}

{(-7, -3), (-6, -1), (-6,8), (6, -6)} {(6,2), (-8,1), (-7,1),(5,-2)}​
Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Step-by-step explanation:

{(-3, -3),(-6, -7), (6,-3), (–9, 2)} {(8,–8), (-9,5), (9,-2), (-2,-8)}

{(-7, -3), (-6, -1), (-6,8), (6, -6)}

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Given f(x) = (lnx)^3 find the line tangent to f at x = 3
kirill [66]
Explanation

We must the tangent line at x = 3 of the function:

f(x)=(\ln x)^3.

The tangent line is given by:

y=m*(x-h)+k.

Where:

• m is the slope of the tangent line of f(x) at x = h,

,

• k = f(h) is the value of the function at x = h.

In this case, we have h = 3.

1) First, we compute the derivative of f(x):

f^{\prime}(x)=\frac{d}{dx}((\ln x)^3)=3*(\ln x)^2*\frac{d}{dx}(\ln x)=3*(\ln x)^2*\frac{1}{x}=\frac{3(\ln x)^2}{x}.

2) By evaluating the result of f'(x) at x = h = 3, we get:

m=f^{\prime}(3)=\frac{3}{3}*(\ln3)^2=(\ln3)^2.

3) The value of k is:

k=f(3)=(\ln3)^3

4) Replacing the values of m, h and k in the general equation of the tangent line, we get:

y=(\ln3)^2*(x-3)+(\ln3)^3.

Plotting the function f(x) and the tangent line we verify that our result is correct:

Answer

The equation of the tangent line to f(x) and x = 3 is:

y=(\ln3)^2*(x-3)+(\ln3)^3

6 0
1 year ago
Julie is tracking the growth of a plant for a science project. The height of the plant on the 2nd day she measured was 8 inches
kvv77 [185]

Answer:

Step-by-step explanation:

The relationship is linear, so the plant grows the same amount each day.

The height on the 2nd day was 8 inches:

h₂ = 8

The height on the 7th day was 20.5 inches:

h₇ = h₂ + (7-2)d = 8 + 5d = 20.5

d = 2.5

The plant grows 2.5 inches each day.

6 0
3 years ago
4²+A = can someone simplify this please
snow_lady [41]

Answer:

16+A

Step-by-step explanation:

4*4=16

7 0
2 years ago
Read 2 more answers
I need help asap please ​
faust18 [17]

Answer:

y=3x+6, y=5x,

Step-by-step explanation:

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3 years ago
Five friends had lunch together. Their lunch bill included these amounts: $8.79, $5.15, $11.73, $2.49, and $9.05. Estimate the t
WARRIOR [948]

Answer:

40

Step-by-step explanation:

all those numbers added equals 37.21

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3 years ago
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