R(t) = integral of r'(t) = integral of ti + e^tj + te^tk = 1/2t^2i + e^tj + (te^t - e^t)k + c
r(0) = j - k + c = i + j + k
c = i + 2k
Therefore, r(t) = (1/2t^2 + 1)i + e^tj + (te^t - e^t + 2)k
Answer
given equation,
x⁵²-21 x+20
A number to be divisible by the another number means that on dividing the remainder should be zero.
if x⁵²-21 x+20 is divisible by x− 1 means that x-1 should completely divide the equation.
so,
x -1 = 0
x = 1
x⁵²-21 x+20 to be divisible it should be equal to zero when x = 1
putting x = 1
= (1)⁵²-21 (1)+20
= 1 - 21 + 20
= 21 -21
= 0
hence x = 1 is the root of the equation
so, x⁵²-21 x+20 is divisible by x− 1.
Answer:
It is 33. Answer B is correct.
Answer:
length = 8 feet
width = 4 feet
Step-by-step explanation:
l x w = 32
2l + 2w = 24
l = 8
w = 4
Answer:
Decay
since 0.292 is less than 1
% rate of decrease
1 - 0.292 = 0.708
70.8%
