Q. A ef mass 1000Kg s towing motor- boat water- skier of 75kg by means or a horizontal Coble. Ilhe resistance to macs the motion of the boat is 65 ON Gnd the resistance to the motion of the skier is 125N. If the thrust of the boat é engine is 4000N, find (a) the acceleration, 6) the tension in the cable.
Q. A ef mass 1000Kg s towing motor- boat water- skier of 75kg by means or a horizontal Coble. Ilhe resistance to macs the motion of the boat is 65 ON Gnd the resistance to the motion of the skier is 125N. If the thrust of the boat é engine is 4000N, find (a) the acceleration, 6) the tension in the cable.
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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Transcribed Image Text:Ra. A motor- boat
ef mass 1000kg is towing
water- skier of
s 7Skq by means
or a resis tance to
horizontal Cable. The
mass
the motion of the boat is
65ON and the resistance to the
motion of the skier is 1Q5 N
If the thrust of the boatś
engine is
4000N, find (a) the acceleration,6 , the tension
in
the
cable.
Transcribed Image Text:11. A polynomial P(x) is a multiple of x - 3 and the remainder when P(x) is divided by x + 3 is 12. Find
the remainder when P(x) is divided by x² – 9
12. Give that x*– 6 x³ + 10x² + ax + b is a perfect square, find a and b.
13.
Given that logs x =p and log 18 x =q, show that log63='
log3
Given that
b-d
8
14.
solve for x and y: 3* = 23y+1
%3D
log2
5'
4x-1 = 122y+1
15. Solve the simultaneous equations
2* + 4° = 12 and 3(2*) – 2(2²y) = 16 .Hence show that 4* + 4(32y) = 100.
16. When the quadratic expression ap²+ bp + c is divided by p-1, p-2 and p+1, the
remainders are 1, 1 and 25 respectively. Determine the factors of the expression
17. Prove that if the equations x2 + ax + b = 0 and cx? + 2ax – 3b = 0 have a common root and
neither a nor b is zero, then
5a? (с-2)
b =
(c+3)2
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