Answer:
Gamelan
Step-by-step explanation:
a gamelan, is gamelan
Answer:
probably of a head= 1/2
probably of a multiple of 3 (either 3 or 6)= 2ways*1/6 as 1/6 is the prob of any one side
Step-by-step explanation:
Answer:
a = 15
b = -10
Step-by-step explanation:
Here, we want to solve the system of linear equations
Firstly, let us multiply the first equation through by 10
2a - 5b = 100 ••••(i)
from the second equation;
a = 29 + b
Substitute this into i
2(29 + b) - 5b = 100
58 + 2b -5b = 100
-3b = 100-58
3b = 42
-b = 42/3
-b = 14
recall;
a - b = 29
a - (-14) = 29
a + 14 = 29
a = 29-14 = 15
Answer:
1.39%
Step-by-step explanation:
(21 - 32) / 5 = -2.2 z score
= 0.0139 so there is a 1.39% probability
(a)
The average rate of change of f on the interval 0 ≤ x ≤ π is
____________
(b)
The slope of the tangent line is
.
____________
(c)
The absolute minimum value of f occurs at a critical point where f'(x) = 0 or at endpoints.
Solving f'(x) = 0
Use zero factor property to solve.
so that factor will not generate solutions.
Set cos(x) - sin(x) = 0
cos(x) = 0 when x = π/2, 3π/2, but x = π/2. 3π/2 are not solutions to the equation. Therefore, we are justified in dividing both sides by cos(x) to make tan(x):
We check the values of f at the end points and these two critical numbers.
There is only one negative number.
The absolute minimum value of f <span>on the interval 0 ≤ x ≤ 2π is
____________
(d)
The function f is a continuous function as it is a product of two continuous functions. Therefore,
g is a differentiable function; therefore, it is a continuous function, which tells us
.
When we observe the limit
, the numerator and denominator both approach zero. Thus we use L'Hospital's rule to evaluate the limit.
thus
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