The solution of the function is - cos t - ¹/₄cos 2t + c.
<h3>What is the indefinite integral?</h3>
An indefinite integral is a function that practices the antiderivative of another function.
It can be visually represented as an integral symbol, a function, and then a dx at the end.
The given function is;
Multiply by sint in the function and simplify;
Use trigonometric formulas for double angles:
Substitute the values in the function
And now we integrate this trigonometric form.
Hence, the solution of the given function is - cos t - ¹/₄cos 2t + c.
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Answer:
Step-by-step explanation:
In order for the function to have vertical asymptotes at x=5 and x=4, the denominator factors must include (x-4) and (x-5).
In order for the function to have zeros at x=2 and x=1, the numerator factors must include (x-1) and (x-2).
In order for the horizontal asymptote to be 7, the ratio of highest-degree terms in numerator and denominator must be 7. The function shown above and on the graph meets your requirements.
One <em>possible answer</em> is:
9×(2+3)
Explanation:
First we find the sum of 18 and 27. 18+27 = 45.
Next we find the GCF of 18 and 27. We do this by finding the prime factorization of each:
18 = 2*9
9 = 3*3
Thus, 18 = 2*3*3.
27 = 3*9
9 = 3*3
Thus, 27 = 3*3*3
We want the common factors; there are 2 3's in common, so 3*3 = 9 is the GCF. This makes the product 9×( ). The missing number would be 5, since 9*5 = 45. Writing this as a sum, we can use 2+3; this gives us 9×(2+3).
Answer:
Step-by-step explanation:
we know that
The area of a circle is
----> equation A
The diameter of a circle is
----> equation B
Solve for r in the equation A
That means ---> isolate the variable r
Divide by 3.14 both sides
take the square root both sides
Rewrite
Substitute the value of r in the equation B
A) 1104/ 138 = 8
B) 1st = 30/2 = 15, 2nd = 15/2 = 7.5, 3rd = 7.5/2 = 3.75, 4th 3.75/2 = 1.875, 5th = 1.875/2 = 0.9375, 6th = 0.9375/2 = 0.46875, 7th = 0.46875/2 = 0.234375, 8th = 0.234375/2 = 0.117 = 0.12
Answer is B