To work this out, we must use the balancing method - whatever we do to one side, we do exactly the same to the other
-7 = e/3 + 14
(-14) (-14)
-7 - 14 = -21
-21 = e/3
(x3) (x3)
-21 x 3 = -63
-63 = e
e = -63
Answer:
(A) 2/3 [√(4-4x)]^3
(B) 2/3 [√(4-x)]^3
Step-by-step explanation:
Integrating the functions,
(A) Any function in square root is equal to or same as the function raised to the power of 1/2
To integrate, add 1 to the power of the function. That's 1/2 + 1 = 3/2
Divide the function by this new power 3/2. This implies multiplying the function by the inverse of 3/2. The inverse of 3/2 is 2/3.
Also, when a function is raised to the power of a fraction instead of a whole number, you take the 'denominator' root of the function, and then raise the function to the power of the numerator.
Here, the denominator is 2, so you take the square root of the function, and raise the function to the power of 3
So the integral of Y = √[4-4x] is
2/3 [√(4-4x)]^3
(B) In like manner, the integral of
Y = √[4-x] is
2/3 [(√4-x)]^3
Answer:
B.$ 0.39
Step-by-step explanation:
1 OUNCE OF PECAN =$7.84÷40=$0.196
2 OUNCES OF PECAN =$0.196×2=$0.39
Answer:
You need to add an attachment or type the answer choices.
Step-by-step explanation:
For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is 6/36 = 1/6.