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2 years ago

Suppose f′(6)=5 and g′(6)=7. Find h′(6) where h(x)=4f(x)+5g(x)+1.

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

3 0

The value of the derivative of functions h'(6) as requested in the task content is; 55.

<h3>What is the value of h'(6)?</h3>

Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.

Hence, the derivative of h(x) can be evaluated as;

h'(x)=4f'(x)+5g'(x)

On this note, by substitution, it follows that;

h'(6)=4(5)+5(7)

h'(6) = 55.

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How do you determine where f(x)=cos^(-1)(lnx) is continuous?

olga nikolaevna [1]

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Meanwhile, $\cos^{-1}y$ is defined for real $-1\le y\le1$ .

If $y=\ln x$ , then we have $-1\le \ln x\le1\implies \dfrac1e\le x\le e$ as the domain of $\cos^{-1}(\ln x)$ .

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3 years ago

The table shows the maximum and minimum depths of two submarines. Find the range of depths for each submarine. Then determine wh

JulsSmile [24]

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

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4 years ago

Heather has $45.71 in her savings account. She bought six packs of markers to donate to her school. If each pack of markers cost

Fittoniya [83]

The answer would be D. $21.77

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3 years ago

Read 2 more answers

1) through: (-2,4), slope = 0<br> how you do this??

elena-s [515]

Answer:

y = 4

Step-by-step explanation:

I assume you want to find the slope-intercept form of the given information.

We are given the slope and a point, so we can find the y-intercept.

y = 0x + b

4 = 0(-2) + b

4 = 0 + b

4 = b

Put everything we know/solved for back into the formula [ y = mx + b ]

y = 4

Best of Luck!

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3 years ago

There is a total of 1,500 people in the town of Markston.

FinnZ [79.3K]

Do 1,500x0.55 which equals
825 people

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3 years ago