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OLga [1]
3 years ago
8

Lynne was making cookies and she

Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

11/2is the answer hope it helps

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(1 point) Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivativ
svetlana [45]

Derivatives can be calculated from graphed functions.

The values of the derivatives are:

The given parameter is:

\mathbf{h(x) = f(g(x))}

Start by calculating the equations of f(x) and g(x)

<u>Graph f(x)</u>

The slopes of f(x) are: 3/2 and -3/2

So, the equations are:

\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}

\mathbf{f(x) = -\frac{3}{2}x,\  x \ge 2}

<u>Graph g(x)</u>

The slope of g(x) is: -1/2

So, the equation is:

\mathbf{g(x) = -\frac 12x}

<u>For x = 1 and x = 2, we have:</u>

So, we have:

\mathbf{h(x) = f(g(x))}

Where:

\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2} and \mathbf{g(x) = -\frac 12x}

\mathbf{h(x) = f(g(x))} becomes

\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}

Open brackets

\mathbf{h(x) = -\frac{3}{4}x}

Differentiate

\mathbf{h'(x) = -\frac{3}{4}}

So:

\mathbf{h'(1) = -\frac{3}{4}}

\mathbf{h'(2) = -\frac{3}{4}}

For x = 3, we have:

\mathbf{h(x) = f(g(x))}

Where:

\mathbf{f(x) = -\frac{3}{2}x\  x \ge 2} and \mathbf{g(x) = -\frac 12x}

\mathbf{h(x) = f(g(x))} becomes

\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}

\mathbf{h(x) = \frac{3}{4}x}

Differentiate

\mathbf{h'(x) = \frac{3}{4}}

Substitute 3 for x

\mathbf{h'(3) = \frac{3}{4}}

Hence, the values of the derivatives are:

\mathbf{h'(1) = -\frac{3}{4}}, \mathbf{h'(2) = -\frac{3}{4}} and \mathbf{h'(3) = \frac{3}{4}}

Read more about graphed functions at:

brainly.com/question/11804653

3 0
3 years ago
Read 2 more answers
Find the inverse of the following functions?<br> Y=x^2+2
pshichka [43]
     f(x) = x² + 2
         y = x² + 2
         x = y² + 2
    x - 2 = y²
√(x - 2) = y
√(x - 2) = f⁻¹(x)
8 0
4 years ago
Which store charges more per towel? P=35 + 18n
brilliants [131]

Answer:

The man rushes through your door with his fists in the air, all of the sudden your vision went black, and he had stolen your points.

Step-by-step explanation:

5 0
3 years ago
Can someone please explain the math on this one to me? Thanks!
kodGreya [7K]

Answer:

18 men = 36 tons in 6 hours

Step-by-step explanation:

3 men = 1 ton in 1 hour

6 men = 2 ton in 1 hour

9 men = 3 tons in 1 hour

with this you find a pattern

3 men = 2 tons in 2 hours

3 men = 3 tons in 3 hours

3 men = 6 tons in 6 hours

6 men = 12 tons in 6 hours

9 men = 18 tons in 6 hours

12 men = 24 tons in 6 hours

15 men = 30 tons in 6 hours

18 men = 36 tons in 6 hours

(This is how i worked it out)

8 0
3 years ago
Read 2 more answers
Three investors own a company. One partner owns 1/4 of the company, while the second partner owns 2/5 of the company. How
EastWind [94]

Answer:

7/20

Step-by-step explanation:

you find the least common denominator then you add them which gives you 13/20 then you subtract 20/20 minus 13/20 which gives you 7/20

have a meh day

7 0
3 years ago
Read 2 more answers
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