First thing you have to do is take the 5 + -8 which equals -3 then you have to 33-18 which equals 15 then u have to divide by the -3 which gives you equal your answer of -5
Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!
3.5 miles per hour. 7/8 (.875) divided by 1/4 (.25) equals 3.5. Hope this helps!
Answer:
Each time, t, is associated with exactly one car value, y.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<em>Find the equation of the dashed line</em>
The line pass through the points
-----> is the y-intercept of the line
Find the slope of the line m
The formula to calculate the slope between two points is equal to
substitute the values
Remember that
The equation of the line into slope intercept form is equal to
we have
substitute
<em>Find the inequality</em>
we know that
The solution of the inequality is the shaded area below the dashed line
so
