Answer:
x= - 1/7
Step-by-step explanation:
The velocity is the derivative of position.
... v(t) = r'(t) = -5sin(t)i +4cos(t)j . . . . velocity
The acceleration is the derivative of velocity.
... a(t) = v'(t) = -5cos(t)i -4sin(t)j . . . . acceleration
The speed is the magnitude of velocity.
... s(t) = ||v(t|| = √((-5sin(t))² +(4cos(t))²)
... = √(25sin(t)² +16(1 -sin(t)²))
... s(t) = √(16 +9sin(t)²) . . . . speed
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Of course, derivatives of these functions are found from ...
... (d/dt)(sin(t)) = cos(t); (d/dt)(cos(t)) = -sin(t); (d/dt)(a + b) = da/dt + db/dt.
Answer:
length=4 cm
Step-by-step explanation:
Area of rectangle= length * width
48=l*12
length=48/12
length=4 cm
The sum of the angles of any triangle is 180°.
75° + 75° + m<BAC = 180°
m<BAC = 180° - (75° + 75°) = 30°
4z+2(z-4)=3z+11 perform indicated multiplication on left side
4z+2z-8=3z+11 combine like terms on left side
6z/-8=3z+11 add 8 to both sides
6z=3z+19 subtract 3z from both sides
3z=19 divide both sides by 3
z=19/3
z=6 1/3
So there is only one solution when z=6 1/3