Midyear exam practice questions
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Transcript Midyear exam practice questions
Differential Calculus
Mid-Year Exam Review
The sides of a triangle have length of 10, 20, &
20. Find the measures of the angles.
Find the area of the shape below:
30
7
120o
24
Find the angle measures of the triangle:
a = 60
b = 20
c = 75
A ship proceeds on a course of 300o for 2 hours
at a speed of 15 knots. Then it changes course to
200o for 3 hours at the same speed. At that time
how far is the ship from its starting point?
If
15
is obtuse and tan , find
8
cos 2
Solve:
cos 2 x cos x 0
0 x 2
Solve:
sin 2 x cos x
0 x 2
Find all roots in rectangular form.
3
8i
Find the limit:
lim f (x)
x 2
3x 3 2x, x 2
f (x)
x 2
13x,
Find the limit:
lim f (x)
x 2
Find the limit:
lim f (x)
x 4
Find the limit:
x 2 2x 4 2 24
lim
x 4
x
4
Find the slope of the line
tangent to the curve at x = 4
3
x 4x 5
f (x)
x
Find the derivative
2x 5
f (x) 2
x 1
3
Find the velocity of the particle
when the acceleration first
becomes positive
s(t) 2x x 5x 6
3
2