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(a) X, y and z are such that x varies directly as z and inversely as the cube root of y. If x = 8, 27 and z = 4, find: (i) (ii) an expression for x in terms of y and z. value(s) of y when x = 12 and z = 10. (b) The area of a rectangle is 6m². If the length is 1m longer than the width. Find the dimension of the rectangle (a) In the diagram below, RS is a tangent at S. The circle PQS is the circum-circle ofAPQS. If QRS = 340 and PSQ = 61º. Calculate QŚR.

(a) X, y and z are such that x varies directly as z and inversely as the cube root of y. If x = 8, 27 and z = 4, find: (i) (ii) an expression for x in terms of y and z. value(s) of y when x = 12 and z = 10. (b) The area of a rectangle is 6m². If the length is 1m longer than the width. Find the dimension of the rectangle (a) In the diagram below, RS is a tangent at S. The circle PQS is the circum-circle ofAPQS. If QRS = 340 and PSQ = 61º. Calculate QŚR.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. (a) X, y and z are such that x varies directly as z and inversely as the cube root of y. If x = 8, y = 27 and z = 4, find: (i) an expression for x in terms of y and z. value(s) of y when x = 12 and z = 10. (ii) (b) The area of a rectangle is 6m². If the length is 1m longer than the width. Find the dimension of the rectangle (a) In the diagram below, RS is a tangent at S. The circle PQS is the circum-circle of APQS. If QRS 34° and P$Q = 61°. Calculate QŜR. %3D P NOT DRAWN TO SCALE 61 340 R The probability that Afua can solve a particular mathematical problem is 0.7 and the pr that Kojo can not solve the same problem is 0.4. What is the probability that: (b) all of them solve the problem? at least one of them solves the problem? (1) (ii)
Transcribed Image Text:4. (a) X, y and z are such that x varies directly as z and inversely as the cube root of y. If x = 8, y = 27 and z = 4, find: (i) an expression for x in terms of y and z. value(s) of y when x = 12 and z = 10. (ii) (b) The area of a rectangle is 6m². If the length is 1m longer than the width. Find the dimension of the rectangle (a) In the diagram below, RS is a tangent at S. The circle PQS is the circum-circle of APQS. If QRS 34° and P$Q = 61°. Calculate QŜR. %3D P NOT DRAWN TO SCALE 61 340 R The probability that Afua can solve a particular mathematical problem is 0.7 and the pr that Kojo can not solve the same problem is 0.4. What is the probability that: (b) all of them solve the problem? at least one of them solves the problem? (1) (ii)
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