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sladkih [1.3K]
3 years ago
7

Let f be continuous on [0, a] and differentiable on (0, a), Prove that if f(a)=0 then there is at least one value of x in (0, a)

, such that f(x)= -xf'(x).(5marks) (%4h) 4

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer:

See picture attached

Step-by-step explanation:

You might be interested in
In Image:
iris [78.8K]

Answer:

The answer to your question is          x ≠ -10   x ≠ 2     x ≠ -2

Solution                                                \frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}      

Step-by-step explanation:

Process

1.- Factor all the polynomials

              \frac{x^{2} -3x - 40}{x^{2} + 8x - 20} / \frac{x^{2}+ 13x + 40}{x^{2}+ 12x + 20} = \frac{(x-8)(x + 5)}{(x + 10)(x- 2)} / \frac{(x+ 8)(x + 5)}{(x + 10)(x + 2)}

2.- Invert the second term

                                             = \frac{(x- 8)(x + 5)}{(x +10)(x - 2)}  \frac{(x+ 10)(x + 2)}{(x + 8)(x +5)}

3.- Simplify

                                              = \frac{(x- 8)(x + 2)}{(x + 8)(x - 2)}

4.- x must be different to

            x ≠ -10   x ≠ 2     x ≠ -2

This values are from the factor expressions and then equal to zero.

8 0
3 years ago
If an acute angle increases, then its supplement
nevsk [136]

Answer:

gets smaller.

Step-by-step explanation:

Quick Answer

To give you a short quick answer, the supplement is going to have to decrease or get smaller.

Example

Suppose the acute angle is 10 (anything under 90 will do).

Then the supplement is going to be 180 - 10 = 170

Now suppose the acute angle increase to 50 degrees.

That means the supplement will go from 180 - 50 = 130

Conclusion

As the acute angle gets bigger, the supplement gets smaller. This is an important idea to get clear. Bigger and Smaller or More or Less can be ugly little words, so anytime you come across them, pay attention. It will make your life in science so much easier.

6 0
3 years ago
A teacher asks students to select the correct claim about the relationship between RPQ AND ROQ.
sergiy2304 [10]
Their both not words

6 0
3 years ago
Look at pic to answer ! 20 points given
luda_lava [24]

Answer: do you mean 10 points smh

But the answer is A

Step-by-step explanation:

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20-%209x%20%2B%201%29%20-%20%28%20-%207x%20%2B%208%29" id="TexFormula1" title="( - 9x + 1)
son4ous [18]

Step-by-step explanation:

=(-9x+1+7x-8)

=(-2x-7)

7 0
3 years ago
Read 2 more answers
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