Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
![f ülia
14/14
حنان
Salahaddin University, College of Selence,
Department of Physics
Class: 1" Year
Date: 2019 - 2020
Subject: Caleulus
Time: 2 Hours
A) Find the solution of the following inequalities
(12 Marks)
2) 음
1) 21
x-4
4
5x+1
|3)|-1기-8 4) x+7x-8<0
x+5 2x+3
B) Find domain of the following functions
(8 Marks)
1)f(x) =
1+ Vx
3) r)--3x -6x-8
2) f(x) = In(x+ 3)
-3x -6x -8
4) S(2)=-|x|
C) Let f(2) -, find f"(x) if possible?
(4 Marks)
D) Draw the graph of the following functions
(12 Marks)
1) f(x) = cotx
2) f(x) = csc"x 3) f(x)=(x-2)'+1 4) f(x)=|x-1|+4
E) Evaluate the following limits
(12 Marka)
V1- cos'x
1) lim In 2x
2) lim-
40
1- cos x
sin x
3) lim
4) lim - V
F) which of the following functions is even, odd or either?
(6 Marks)
1) f(x) - x* + 3x' -1 2) f(x) - x 3) f(x)-x+ cos x
(* -16
f(x) =x-4
If x+4
G) For what value of C is
(6 Marks)
if x= 4
Continuous at 42.
GOOD LUCK
Assistant Ler
حنان
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