Having attended the live lecture, now spend some time completing this week's challenge activity Your first task is to analyse the following diagram: y↑ B A D The diagram shows part of the curve with equation y = f(x), where f(x) = 1+ 2sin(px" + q").p and q being positive constants and 9 5 90. The curve cuts the y - axis at the point A and the x- axis at the points C and D. The point B is maximum point on the curve. Calculate Given that the coordinates of A and C are (0, 2) and (45, 0) respectively: 1. Calculate the value of q 2. Show that p = 4 3. Find the coordinates of B and D.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Having attended the live lecture, now spend some time completing this week's challenge activity
Your first task is to analyse the following diagram:
y个 B
A
C
X
The diagram shows part of the curve with equation y = f(x), where f(x) = 1+ 2sin(px" + q").p and q being positive constants and
q 5 90. The curve cuts the y – axis at the point A and the x – axis at the points C and D. The point B is maximum point on the curve.
Calculate
Given that the coordinates of A and C are (0, 2) and (45, 0) respectively:
1. Calculate the value of q
2. Show that p = 4
3. Find the coordinates of B and D.
Transcribed Image Text:Having attended the live lecture, now spend some time completing this week's challenge activity Your first task is to analyse the following diagram: y个 B A C X The diagram shows part of the curve with equation y = f(x), where f(x) = 1+ 2sin(px" + q").p and q being positive constants and q 5 90. The curve cuts the y – axis at the point A and the x – axis at the points C and D. The point B is maximum point on the curve. Calculate Given that the coordinates of A and C are (0, 2) and (45, 0) respectively: 1. Calculate the value of q 2. Show that p = 4 3. Find the coordinates of B and D.
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