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)
The cross section is a trapezoid.
Be present in 35 milliliters of the solution. [round off your answer to two decimal places. if you answer is less than one, include the zero before the decimal point.]
Answer:
6 * 10^2
Step-by-step explanation:
Simplify : (4.2×10^7)÷(7×10^4)
(4.2 × 10^7) / (7 × 10^4)
From indices : 10^a ÷ 10^b = 10^(a - b)
(4.2 / 7) * 10^(7-4)
0.6 * 10^3
= 6 * 10^2
Hence, (4.2×10^7)÷(7×10^4) = 6 * 10^2
Answer:
32/2 is also equal to 16
Step-by-step explanation: