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 =
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 =
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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 =
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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