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)
Answer:
112.5 which is 113
Step-by-step explanation:
150 divided by 60= 2.5
2.5 times 45=112.5
Answer:
C) 4.01
Step-by-step explanation:
When rounding to 2dp, you look at the third digit after the decimal. If it is 5 or larger, you round the second digit up, if it is less than 5, you round it down.
-2x^2-8 is the answer good luck
Answer:
Options A, D and E.
Step-by-step explanation:
Formula to calculate the volume of the triangular prism is,
Volume of the triangular prism = (Area of the triangular base)×(height)
= B × h
Area of the right triangular base =
=
= 56 m²
Volume of the prism =
= 392 cubic meter
Therefore, from the given options correct options are Option A, Option D and Option E.