Answer:
9,750 and 0.0000084
Step-by-step explanation:
9.75 × 10^3= 9,750 (move decimal 3 places to the right because exponent is positive)
8.4 × 10^-6 = 0.0000084 (move decimal 6 places to the left because exponent is negative)
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
Answer:
3 1/3 is your answer.
Step-by-step explanation:
Rewriting equation:
4 + 5/6 - 1 - 1/2
4 - 1 = 3
5/6 - 1/2 = ?
Find the LCD of 5/6 and 1/2 and rewrite to solve.
5/6 - 3/6 = 2/6
2/6 = 1/3
3 + 1/3 = 3 1/3
Whole number: 3
numerator: 1
denominator: 3
Answer:
oh so easy 4 my answer is so easy
5 m/sec or 300m / min
using speed = 
change 5 min 20 sec to seconds = (5 × 60) + 20 = 320 sec
speed = 
= 5m / second or
speed = 60 × 5 = 300m / minute
