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Which of the following is concave down:...

Which of the following is concave down:

A

`y = -x^(2)`

B

`y = x^(2)`

C

`y = e^(x)`

D

`y = x^(2) + 2x -3`

Text Solution

Verified by Experts

The correct Answer is:
A
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PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
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  3. Which of the following is concave down:

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  4. If f(a) = 2, f'(a) = 1, g(a) = -1, g' (a) = 2. Then underset(x rarr a)...

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  6. The value of c in Lagrange's mean value theorem for the function f(x) ...

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  7. The function f(x) = x^(2) is decreasing in

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  8. y = -e^(x) is

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  9. If f has a local extremum at a and if f'(a) exists then

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  10. A spherical snowball is melting in such a way that its volume is decre...

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  11. f(x) = sqrtx, a = 1, b = 4 find c in Lagrange's mean value theorm:

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  12. The point of curve y= 2x^(2) - 6x -4 at which the tangent is paral...

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  15. If the normal to the curve x^(2//3)+y^(2//3)=a^(2//3) makes an angle t...

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  16. For the curve x = e^(t) cos t, y = e^(t) sin t the tangent line is par...

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  17. If y= 6x - x^(3) and x increases at the rate of 5 units/sec the rate o...

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