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:
The value of n = -10
Step-by-step explanation:
Given the points
Finding the slope between (3, n) and (4,0)
As slope = 10
using the formula
Slope = [y₂ - y₁] / [x₂ - x₁]
so substituting the values
10 = [0 - n] / [4 - 3]
10 = -n / 1
10 = -n
n = -10
Therefore, the value of n = -10
Answer:
Step-by-step explanation:
<h3>Solution 1</h3>
The figure (kite) is symmetric and covers half of the area of rectangle with sides 8 units aby 10 units
<u>The area of the rectangle:</u>
<u>The area of the kite:</u>
- A = 1/2*80 = 40 sq. units
<h3>Solution 2</h3>
Split the kite into two triangles and calculate their area and add up
<u>Triangle DCB has b = 8, h = 2 and has area:</u>
- A = 1/2*8*2 = 8 sq. units
<u>Triangle DAB has b = 8, h = 8 and has area:</u>
- A = 1/2*8*8 = 32 sq. units
<u>Total area:</u>
Answer:
Cevap C.
Step-by-step explanation:
Oran 16:24. Her ikisinin de en büyük ortak faktörünü buldum, 48. 48 bölü 16, 3. 48 bölü 24, 2. Yani cevap 3: 2 veya C!
Mantıklı gelmiyorsa özür dilerim, bir çevirmen kullanıyorum, ama umarım yardım etmişimdir!
Answer:
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