2+5*___=33 Figure out the blank. You can use exponents
2 answers:
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Height of the water increasing is at rate of
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
In the problem, we are given
So we need to substitute this in:
Hence, Height of the water increasing is at rate of
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Answer:
x ≈ {-11.789, +0.501, 11.288}
Step-by-step explanation:
The cubic g(x) - f(x) = 0 has three real solutions. It can be rewritten as ...
Since the solutions are irrational, they are best found using a spreadsheet or graphing calculator. My favorite graphing calculator shows the approximate solutions below.
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<em>Comment on the problem statement</em>
Your expression for f(x) is ambiguous in that many Brainly questions have the exponentiation indicator replaced by a blank: 3 x -1 often means 3^x -1 and sometimes means 3^(x-1). We have taken the expression at face value and have assumed it is a linear expression. If otherwise, the problem is basically worked the same way: write a function h(x) = g(x) - f(x) and look for solutions to h(x) = 0. Graphing can be useful.
