Rita wants to buy a sweater for $25.00 but the sale is 50% off how much will it cost
2 answers:
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Answer:
Actual speed = 288 miles per hour
Actual direction angle =
Step-by-step explanation:
"Bearing" is the relative position of an object outside the plane compared to the position of the plane.
Heading the the direction the nose of the plane is pointing.
Course is the direction that pilot wants the plane to go.
Wind direction is always the direction the wind is blowing from.
The airplane is traveling at a speed of 240 miles/hour with a bearing of 110°.
If the plane is traveling with a bearing of 110° and the wind is blown at a bearing of 325°.
The Ground speed will be in excess of the airspeed and true direction will be south if the indicated heading.
The tailwind component is:
And the cross wind component is:
And that is,
So the actual speed of the plane is 288 miles per hour.
The deviation in the direction is:
Let the direction angle be 'x'.
So the actual direction angle is .
Answer:
The turns of a graph is represented by the number of maximum or minimum that the function has.
If we differenciate f(x) we get:
f'(x)=4x^3+6x
f'(x)=2x(2x^2 + 3)
Therefore f'(x) =0, when x=0. Given that negative roots are not defined.
Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.
Attached you find the graph of the function which confirms the number of turns.
If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!
now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.
BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.
as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.
now, we could just use L'Hopital rule to check on that.
notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.