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)
Using Pythagoras:-
x^2 = 6^2 + (sqrt18)^2
= 36 + 18 = 54
x = sqrt54 = 3 sqrt6
Answer:
192
Step-by-step explanation:
Multiply 48 by 24, then divide by 6
Answer:
3/5 is the answer!
Step-by-step explanation:
y = 3x/5 also means y = 3/5 * x
Which means in y = mx form, the 3/5 = m
Answer:
Step-by-step explanation:
Quadrilateral ABCD is parallelogram, because opposite sides are congruent and adjacent sides are not perpendicular.