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:
-7 / (x^2 +3x-10)
Step-by-step explanation:
1/ (x+5) - 1/(x-2)
we need to get a common denominator
1/ (x+5) * (x-2)/ (x-2) - 1/(x-2) * (x+5)/(x+5)
(x-2) / (x+5)(x-2) - (x+5)/ (x+5)(x-2)
Combine the numerator
(x-2 -x-5)/ (x+5)(x-2)
-7/(x+5)(x-2)
FOIL the denominator
-7 /( x^2 -2x +5x -10)
Combine terms in the denominator
-7 / (x^2 +3x-10)
The wire is x feet long.. if he cuts them in even parts there will be an equation f(x)=c4
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Answer: y = 9x - 14
Step-by-step explanation:
The equation of a line is y = mx + b
We know the slope is 9 so so far the equation we have is y = 9x + b.
Since we know (1,-5) is a point on the line, we can plug in the x and y values into the equation and we get:
-5 = 1*9 + b
-5 = 9 + b
b = -14.
Therefore, the equation of the line is y = 9x - 14