Please help me thanks please
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Answer:
• zero: -4, -4/3, 7
• positive: -4 < x < -4/3 . . . or 7 < x
• negative: x < -4 . . . or -4/3 < x < 7
Step-by-step explanation:
Zeros of the function are at x=-4, -4/3, +7. These are the values that make each of the individual factors be zero. For example, x-7=0 when x=7.
The function will be negative for x-values left of an odd number of zeros. It will be positive for x-values left of an even number of zeros (including left of no zeros, which is to say right of all zeros). This is because the sign of the factor giving rise to the zero changes for x-values on either side of that zero. (This is not true for zeros with even multiplicity, as the sign does not change at those.)
When an spherical balloon volume is increasing at the rate of then the diameter of the balloon is increasing
How can we find the rate of change of balloon's diameter ?
The volume of a spherical balloon is
In form of diameter we can write as
Now we will differentiate both sides wrt to we get
Given in the question
thus when we substitute the values we get
Learn more about the differentiation here:
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