Cos ( theta ) = cos 7π/6 = -√3/2
sin ( Theta ) = sin 7π/6 = -1/2
Coordinates of the terminal points are: ( -√3/2, -1/2 )
Given:
The ratio is
.
To find:
Inverse tangent of the given ratio.
Solution:
We know that,
Inverse tangent of the ratio
= 
= 
Using scientific or graphing calculator, we get
Inverse tangent of the ratio
= 
Round to the nearest degree
Inverse tangent of the ratio 
Therefore, the correct option is C.
a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,

so that


b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is
. Then its displacement over the time interval [0, 3] is

c) The total distance traveled is the integral of the absolute value of the velocity function:

for
and
for
, so we split the integral into two as



Answer:
x ≈ 0.916875
Step-by-step explanation:
→ Equate the expressions to each other
4x³ + 3x - 2 = 2x + 2
→ Get all the terms to one side
4x³ + x - 4
→ Solve for x
x ≈ 0.916875
Answer:
(5x - 2) - 7.
Step-by-step explanation:
The difference of 5 times a number and 2 is 5x -2.
7 less makes it (5x - 2) - 7.