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If x^2+2a x+a<0AAx in [1,3], the find th...

If `x^2+2a x+a<0AAx in [1,3],` the find the values of `adot`

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`x^(2) + 2ax +a lt 0, AA x in [1, 2]`
1 and 2 lie between the roots of the equation `x^(2) + 2ax + a=0`
`rArr" "f(1) lt 0 and f(2) lt 0`
`rArr" "1+2a+a lt 0, 4+ 4a + a lt 0`
`rArr" "a lt -(1)/(3),a lt - (4)/(5)`
`rArr" "a in (-oo, - (4)/(5))`
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CENGAGE-GRAPHS OF ELEMENTARY FUNCTIONS -Exercise
  1. The following figure shows the graph of f(x) =ax^(2)+bx +c, then find ...

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  2. The entire graph of the equation y=x^2+k x-x+9 in strictly above the x...

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  3. If x^2+2a x+a<0AAx in [1,3], the find the values of adot

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  4. Draw the graph of f(x) = x|x|.

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  5. Draw the graph of the function: Solve |(x^2)/(x-1)|lt=1 using the grap...

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  6. Draw the graph of y = |x^(2) - 2x|-x.

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  7. Draw the graph of y =2^(x)"," x^(2)-2x le 0

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  8. Find the roots of the equation by factorization: 2x^2-x-1

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  9. Divide 16(x^2yz + xy^2z+xyz^2) by 4xyz

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  10. Find the set of real value(s) of a for which the equation |2x+3|+2x-3|...

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  11. Draw the graph of y=|x|.

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  12. Draw the graph of y=1/(log(e)x)

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  13. Find the number of real solutions to the equation log(0.5)x=|x|.

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  14. Draw the graph of f(x)= x+ [x], where [*] denotes the greatest integer...

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  15. Given f(x) is a periodic function with period 2 and it is defined as ...

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  16. Sketch the region of relation [x] + [y] = 5, x, y ge 0, where [*] deno...

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  17. Draw the graph of y= 2^({x}), where {*} represents the fractional par...

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  18. Let f(x) = ([x]+1)/({x}+1) for f: [0, (5)/(2) ) to ((1)/(2) , 3], whe...

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  19. Draw the graph of y= 2^({x}), where {*} represents the fractional par...

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  20. Find tha area of the region containing the points (x, y) satisfying 4...

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