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:
Will earn $74.38 in interest or for the total $924.38 for the total amount accrued, principal plus interest
Step-by-step explanation:
I = p x rt
I = 850 x 0.035 x 2.5 = 74.38 (interest)
P' = p + I = 850 + 74.38 = 924.38
Answer:
letters = 46536
Step-by-step explanation:
letters + packages = 50995
letters + 4459 = 50995
letters = 50995 - 4459
letters = 46536
Answer:
<h3>Option D) 3 is correct</h3><h3>Therefore the value of x is 3</h3>
Step-by-step explanation:
Given equation is
<h3>To find the value of x :</h3>
First solving the given equation we have,
( by using the property )
( by using the property )
( by using the property )
Since bases are same so powers are same
Therefore we can equate the powers we get x=3
<h3>Therefore the value of x is 3</h3><h3>Option D) 3 is correct</h3>
Answer:
D). 6 3/4
Step-by-step explanation:
Given,
The three eggs with the heaviest weights are;
ounces
ounces, &
2 ounces
To find,
The total weight of the three heaviest eggs = ounces + ounces + 2 ounces
= 5/2 + 9/4 + 2/1
Taking the L.C.M. of 2, 4, and 1,
= 10/4 + 9/4 + 8/4
= (10 + 9 + 8)/4
= 27/4 or 6 3/4