Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
Step-by-step explanation:
y=107(vertically opposite angles)
x=180-107=73(angles on a straight line)
z=73(vertically opposite angles)
Answer:
Ravi's age after 15 years = x+15
Ravi's age = 4 times his present age = 4x
According to question -
15 + x = 4x
=> 15 = 4x-x = 3x
=> 15 = 3x
=> x = 15/3
=> x = 5
Thus , Ravi's present age is 5 years.
Step-by-step explanation:
So for the first one... Let's just use x for months and m for minutes.
(20m)+(.15m)
20 times the number of months plus .15 times the number of minutes
Same for the next one
(35x)+ (.10m)
35 times the number of months +.10 times the minutes.