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4 years ago

Use the graph of f to estimate the local maximum and local minimum. (5 points)

Mathematics

2 answers:

vovikov84 [41]4 years ago

4 0

Answer:

Local maximum: (0,1)

Local minimum: $(-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)$

Step-by-step explanation:

To estimate the local maximum and local minimum using graph.

Local maximum: It is largest value of function for all other values of function near by.

Local minimum: It is smallest value of function for all other values of function near by.

A function has two extrema maxima or minima.

Please see the attachment for graph.

In graph highest point only 1, Only one local maximum at x=0

Local maximum: (0,1)

In graph two lowest point at $x=-\pi\text{ and }x=\dfrac{3\pi}{2}$

Local minimum: $(-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)$

Hence, Local maximum: (0,1) ; Local minimum: $(-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)$

Alex4 years ago

3 0

The one under the one you picked but im not 100% sure

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His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gro

Strike441 [17]

Malcom Davis earnings is an illustration of equations and proportions.

The equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$
The gross income must be $300000, for Dave to earn the same amount with either plan.
His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

$\mathbf{P= G - 100000}$

(a) The equations

For plan A, we have:

$\mathbf{A = \frac{1}{90}G}$ ----1/90 of the company's gross income

For plan B, we have:

$\mathbf{B = \frac{1}{60}P}$ ----1/90 of the company's profit

When both are the same, we have:

$\mathbf{A= B}$

This gives

$\mathbf{\frac{1}{90}G= \frac{1}{60}P}$

Substitute $\mathbf{P= G - 100000}$

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Hence, the equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

(b) Solve the equation in (a), and intepret

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Cross multiply

$\mathbf{60G = 90G - 9000 000}$

Collect like terms

$\mathbf{90G - 60G = 9000 000}$

$\mathbf{30G = 9000 000}$

Divide both sides by 30

$\mathbf{G = 3000 00}$

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

$\mathbf{A = \frac{1}{90}G}$

Substitute $\mathbf{G = 3000 00}$

$\mathbf{A = \frac{1}{90} \times 300000}$

$\mathbf{A = 3333.33}$

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B

Read more about equations at:

brainly.com/question/20893366

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Verbal expression for 1/8y

Marysya12 [62]

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tatyana61 [14]

Answer:

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Step-by-step explanation:

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