Applying the Power rule
f(x)=3x4
f^prime(x)=12x3
sin(105)
√6+√2/4
Given: u=(3,4) v= (-1, 8)
u+v=?
29
Convert the coodinate to Cartesian coordinate
(7, 7pi/6)
(-7√3/2, -7/2)
sin-1(1/2)
(pi/6)
f(x)=5x2 -3x+6
f^prime(x)=10x-3
Sin(135)
-√2-√6/4
Given: u=(3,4) v= (-1, 8)
Angle between u and v?
43.99
(4, 7pi/4)
(2√2, -2√2)
sin-1(-√3/2)
-pi/3)
f^prime(x)=(-4/x2)
Cos(5pi/12)
√6-√2/4
Given: u=(1,6) v= (5,3)
u+v=?
23
(3, pi/2)
sin-1(√2/2)
pi/3
f(x)=5x√x
f^prime(x)=17.5√x
f^prime(x)=(15√x/2)
√3/2 cos(x)+ 1/2 sin(x)
Given: u=(1,6) v= (5,3)
Anglel between u and v?
49.57
Convert to polar coordinates
(-5,0)
(5, pi)
cos-1(√3/2)
pi/6
A projectile is shot upward with an initial velocity of 28 ft/sec from the top of an 8 foot ladder. The equaltion for the projectile after t seconds is h(t) = -16t2+28t+8.
The velocity of the funtion is the derivative of h(t). What is the derrative function
h^prime(t)=-32t+28
sin(3x)cos(6x)-cos(3x)sin(6x)= √2/2
5pi/12 + 2pik/3 + 7pi/12 + 2pik/3
How much work is done on the lawn mower in figure below of he exerts a constant force of 75.0 N at an angle 30 below the horizontal and pushes the mower 25.0 m on level ground?
1535.90 joules
Answer in radians
(-4,6)
(2√13, 2.159)
cos-1(-√2/2)
3pi/4