The required value of x is 4.
Answer:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)
A logarithm is an exponent. The base of the logarithm is what it is an exponent of. The argument of the logarithm function is the value that you get when you raise the base to the power indicated by the exponent.
Here, the logarithm is 4, so that is the exponent of the base, which is 2. The argument of the log function is 16, so that is the result of raising 2 to the power of 4.
In exponential form, the given expression is equivalent to
2⁴ = 16
The answer is Triangle PQR
Answer:
y=2
Step-by-step explanation:
