Answer:
Step-by-step explanation:
Given
Required
Evaluate
Let:
Add both equations
Subtract both equations
So:
R is defined by the following boundaries:
,
So, we can not set up Jacobian
This gives:
Calculate the determinant
Now the integral can be evaluated:
becomes:
So:
Remove constants
Integrate v
Integrate u
Expand
Open bracket
Expand
Answer:
Domain = (-∞, -2) ∪ (-2, ∞).
Range = (-∞, 0) ∪ (0, ∞).
Step-by-step explanation:
t can't have the value -2 because that would make 1/(t + 2) = 1/0 which is undefined.
So the domain is All real values of t. except t = -2.
As t approaches infinity or negative infinity f(t) approaches zero, and as t approaches -2 from below or above f(t) approaches negative infinity or positive infinity.
The answer for question two is: 8x(3,000+200+9)
Hope this helps!
H = 268.8 that is the answer
Answer: D) 0.0013
Step-by-step explanation:
Let x be the random variable that represents the lengths of rods.
As pr given , we have
n=100 ,
z-score :
For x= 119.985 inches , we have
Using the standard z-table , we have
The probability that Claude's sample has a mean less than 119.985 inches is
Hence, the probability that Claude's sample has a mean less than 119.985 inches is 0.0013.