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41. The diagram shows a trapezium OPQR inscribed in a semicircle with centre O and radius r cm. OP makes an acute angle with the diameter. PQ is parallel to the diameter and QR is perpendicular to both P and OR. P r cm 0 R Q (i) Show that the perimeter, y cm, of the trapezium, is given by r(1 + sin 0 + 3 cos 6). (ii) Find the value of 0 for which y has a stationary value and determine whether this value of makes y a maximum or a minimum.

41. The diagram shows a trapezium OPQR inscribed in a semicircle with centre O and radius r cm. OP makes an acute angle with the diameter. PQ is parallel to the diameter and QR is perpendicular to both P and OR. P r cm 0 R Q (i) Show that the perimeter, y cm, of the trapezium, is given by r(1 + sin 0 + 3 cos 6). (ii) Find the value of 0 for which y has a stationary value and determine whether this value of makes y a maximum or a minimum.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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9789813 245457 Oc P r cm Align 5mm 41. The diagram shows a trapezium OPQR inscribed in a semicircle with centre O and radius r cm. OP makes an acute angle with the diameter. PQ is parallel to the diameter and QR is perpendicular to both PQ and OR. 0 ++ PR15S 0 R (i) Show that the perimeter, y cm, of the trapezium, is given by r(1 + sin 0 + 3 cos 6). (ii) Find the value of 0 for which y has a stationary value and determine whether this value of makes y a maximum or a minimum.
Transcribed Image Text:9789813 245457 Oc P r cm Align 5mm 41. The diagram shows a trapezium OPQR inscribed in a semicircle with centre O and radius r cm. OP makes an acute angle with the diameter. PQ is parallel to the diameter and QR is perpendicular to both PQ and OR. 0 ++ PR15S 0 R (i) Show that the perimeter, y cm, of the trapezium, is given by r(1 + sin 0 + 3 cos 6). (ii) Find the value of 0 for which y has a stationary value and determine whether this value of makes y a maximum or a minimum.
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