What is x+3y=15 and 4×2y=30
1 answer:
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Answer:
(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
(b) Every function of the form is an antiderivative of 8x
Step-by-step explanation:
A function <em>F </em>is an antiderivative of the function <em>f</em> if
for all x in the domain of <em>f.</em>
(a) If , then
is an antiderivative of <em>f </em>because
Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.
(b) Because
then is an antiderivative of
. Therefore, every antiderivative of 8x is of the form
for some constant C, and every function of the form
is an antiderivative of 8x.
ok. We are given the following equation:
Where:
Since we are asked to determine "H" we will solve for "H" in the equation. To do that we will first multiply both sides by -1:
Now, we will use the following property of logarithms:
Applying the property and having into account that:
We get:
Now we substitute the given value of "pH = 4.5":
Solving the operation:
Therefore, the hydrogen ion concentration of the fluid is 0.000032