Find the Cartesian equation for the following parametric expression. y= y = t-, te R₁, t ‡ 0 x = t + b) A curve is given by the parametric equation as x = cos(0) — 2, y = sin(0) + 3, - < < π. Find the centre and the radius of the cartesion equation. (a, b)= ( ), Radius =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 42RE
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Question
a)
Find the Cartesian equation for the following parametric expression.
x = t + 1, y = t - 1⁄, t€ R, t‡ 0
t
b)
A curve is given by the parametric equation as x = cos(0)-2, y = sin(0) + 3,
- < 0 < π. Find the centre and the radius of the cartesion equation.
(a, b)= (
"
), Radius =
Transcribed Image Text:a) Find the Cartesian equation for the following parametric expression. x = t + 1, y = t - 1⁄, t€ R, t‡ 0 t b) A curve is given by the parametric equation as x = cos(0)-2, y = sin(0) + 3, - < 0 < π. Find the centre and the radius of the cartesion equation. (a, b)= ( " ), Radius =
11:38 Fri 10 Mar
<
x
Untitled Notebook (2)
a)
Write down the values of a, b, c and d.
,b=
Solve equation 3* e4x−1 = 5 for x giving your answer in the form of
a, b, c and d are integer constants.
b)
c)
a =
log3 (8) - 3 log3 (t) = 3
t=
Solve the following logarithm equation, give your answer as a fraction, not
involving a logarithm.
X=
=
=
C =
Solve for x and y, the following system of simultaneous equations.
2 ln(x)
In(y) + In(5)
ex ey
Give your answers correct to 2 deicmal places.
e³
Maths Tutorial
, y =
Untitled Notebook (3)
,d=
●●●
x
T
a+ln(b)
c+ln(d)
"
a)
Find the equation of the line L₁ in the form ax + by + c = 0.
V
Mastering Chemistry
O**
where
The straight line L₁ passes through the point A = (5, 7) and B = (3, −1).
b)
The line L₂ is paraellel to the line L₁ and passes through the point C = (-8,3)
Find the equation of line L₂ in the form ax + by + c = 0.
c)
The line L3 is perpendicular to the line L₁ and passes through the origin. Find
an equation of L3 in the form y = mx + c.
X
of the A, B and M
B=(
21% 0
Untitled Notebook (3)
ek is a constant, to inimum point at Mar
of the points M and
Y=(
²-6x+16, x
f(x) = (x + a)² +b.v
●●●
1 for x and give y
Transcribed Image Text:11:38 Fri 10 Mar < x Untitled Notebook (2) a) Write down the values of a, b, c and d. ,b= Solve equation 3* e4x−1 = 5 for x giving your answer in the form of a, b, c and d are integer constants. b) c) a = log3 (8) - 3 log3 (t) = 3 t= Solve the following logarithm equation, give your answer as a fraction, not involving a logarithm. X= = = C = Solve for x and y, the following system of simultaneous equations. 2 ln(x) In(y) + In(5) ex ey Give your answers correct to 2 deicmal places. e³ Maths Tutorial , y = Untitled Notebook (3) ,d= ●●● x T a+ln(b) c+ln(d) " a) Find the equation of the line L₁ in the form ax + by + c = 0. V Mastering Chemistry O** where The straight line L₁ passes through the point A = (5, 7) and B = (3, −1). b) The line L₂ is paraellel to the line L₁ and passes through the point C = (-8,3) Find the equation of line L₂ in the form ax + by + c = 0. c) The line L3 is perpendicular to the line L₁ and passes through the origin. Find an equation of L3 in the form y = mx + c. X of the A, B and M B=( 21% 0 Untitled Notebook (3) ek is a constant, to inimum point at Mar of the points M and Y=( ²-6x+16, x f(x) = (x + a)² +b.v ●●● 1 for x and give y
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