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horsena [70]
2 years ago
7

Need help for this one!

Mathematics
1 answer:
WARRIOR [948]2 years ago
6 0
I THINK IT'S ASA OR SSS ..
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What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]?
nika2105 [10]

Answer:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.

Step-by-step explanation:

Given:

f(x)=x^5-10x^3+9x; [-3,3]

Explanation:

In order to find minimum/maximum of a function, we need to find the first derivative of the function and then set it equal to 0 to get critical points.

Therefore,

f'(x)=5x^4-30x^2+9

Setting derivative equal to 0, we get

5x^4-30x^2+9=0

On applying quadratic formula, we get

x=2.4, -2.4, -0.7, 0.7.

So, those are critical points of the given function.

Plugging the values x=2.4, -2.4, -0.7, 0.7, -3 and 3 in above function, we get

f(2.4)=(2.4)^5-10(2.4)^3+9(2.4)= -37.01376   : Minimum.

f(-2.4)=(-2.4)^5-10(-2.4)^3+9(-2.4)= 37.01376 : Maximum.

f(0.7)=(0.7)^5-10(0.7)^3+9(0.7) = 3.03807

f(-0.7)=(-0.7)^5-10(-0.7)^3+9(-0.7) = -3.03807

f(-3)=(-3)^5-10(-3)^3+9(-3) =0

f(3)=(3)^5-10(3)^3+9(3) =0

Therefore the approximate values of the minimum and maximum points of f(x) = x^5- 10x^3+ 9x on [-3,3] are:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.


7 0
3 years ago
Find the first and second derivatives of the function y = sin(x^2)
exis [7]
Y = sin(x^2)

Use the chain rule.

We want dy/dx.

dy/dx = cos(x^2)*2x

dy/dx = 2xcos(x^2)

Did you follow?
7 0
3 years ago
The empire state building in New York City is 12,50 feet tall . It has 103 floors .Rounded the the nearest whole , what is the h
krok68 [10]
\frac{1250}{103} \approx 12.1359223

Each floor is about 12 feet tall.
8 0
3 years ago
What is the correct way to reach a decision regarding a hypothesis test based on a confidence interval
Softa [21]

<u>Answer</u>:

this is a multiple choice question and the answer to this question has been highlighted in bold letters.

Based on a confidence interval, the best way to get a decision on a hypothesis test is for you to fail to rej<u>e</u><u>c</u><u>t</u><u> </u><u>the </u><u>null</u><u> hypothesis</u><u> (</u><u>that </u><u>is,</u><u> </u><u>you </u><u>will</u><u> </u><u>have</u><u> to</u><u> </u><u>accept</u><u> the</u><u> null</u><u> hypothesis</u><u>)</u><u> </u><u>if </u><u>the </u><u>hypothesized</u><u> </u><u>value</u><u> </u><u>for</u><u> the</u><u> </u><u>parameter</u><u> </u><u>that </u><u>is </u><u>being</u><u> </u><u>tested</u><u> </u><u>is </u><u>within</u><u> the</u><u> </u><u>confidence</u><u> interval</u><u>.</u>

3 0
3 years ago
What is m<br> Enter your answer in the box
solmaris [256]

Answer:

m = 2

Step-by-step explanation:

∠ GLI = 90°

∠ GLH + ∠ HLI = ∠ GLI , that is

9m + 25m + 22 = 90

34m + 22 = 90 ( subtract 22 from both sides )

34m = 68 ( divide both sides by 34 )

m = 2

Then

∠ HLG = 9m = 9 × 2 = 18°

7 0
3 years ago
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