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Flura [38]
1 year ago
7

PLEASE HELP!

Mathematics
1 answer:
Norma-Jean [14]1 year ago
6 0

Both the first and second statements are true and therefore Option D is the correct answer .

<h3>What is a Function ?</h3>

A function can be defined as the equation that identifies relation between a dependent variable and an independent variable.

A function always has a defined range and domain.

In the following statements

I. If f '(c) = 0, then f has a local maximum or minimum at x = c.

f'(c) = 0

It means that the slope of f(x) = 0 at x = c

If f has a local maximum or minimum at x = c  It is a True statement

II. If f is continuous on [a, b] and differentiable on (a, b) and f '(x) = 0 on (a, b), then f is constant on [a, b].

If f'(x) = 0 on (a, b),

then f is neither increasing nor decreasing

and therefore is constant on [a, b]

So it is a True statement.

III. The Mean Value Theorem can be applied to f(x) = 1/x² on the interval [−1, 1].

No the theorem cannot be applied as, f is neither continuous nor differentiable at x = 0

It is a False Statement.

Therefore Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

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ElenaW [278]

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3 years ago
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ki77a [65]
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Answer:

DB = CA (Proved)

Step-by-step explanation:

Statement 1.

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Reason 1.  

Given

Statement 2.

Between Δ DBM and Δ CAM,  

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(ii) ∠D = ∠C  and  

(iii) ∠DMB = ∠CMA

Reason 2.

(i) given  

(ii) given and  

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Since ∠1 = ∠2, so, ∠DMB = ∠CMA.

Statement 3.

Δ DBM ≅ Δ CAM

Reason 3.

By angle-side-angle rule.

Statement 4.

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Reason 4.

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