Answer:
4x+11
Step-by-step explanation:
Answer:
Range = [5, ∞)
Step-by-step explanation:
The initial number of snakes is 5 and it is increasing at a high rate so the maximum number is infinite. The population is increasing exponentially according to the equation P = 5(2)^t where t = the number of years.
The volume of pyramid B (3,136 in.³) is 323% bigger than the volume of pyramid B (972 in.³).
<h3>What is the Volume of a Square Pyramid?</h3>
Volume of square pyramid = 1/3(a²)h
Given the following:
- Volume of pyramid B = 3,136 in.³
- Base side length of pyramid A (a) = 18 in.
- Height of pyramid A (h) = 9 in.
Volume of square pyramid A = 1/3(a²)h = 1/3(18²)9 = 972 in.³
3,136/972 × 100 = 323%
Pyramid B volume is 323% bigger than the volume of pyramid A.
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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)
