Answer:

Set up for both orders of integration for the integral below where R is the arc of a circle radius 2 in the first quadrant. Show that both orders produce the same result by integrating each of them.
∫ ∫(2x) dA
R
Answer:

Step-by-step explanation:
<u>Trigonometric Identities</u>

<u>Trigonometric ratios</u>

where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Using the trig ratio formulas for cosine and sine:
<u>Angles</u>


Therefore, using the trig identities and ratios:

Answer:
7.49
Step-by-step explanation:
Well first you have to find how much the bike lock cost.
8.75 x 0.2
1.75 = how much 20% of 8.75 is
8.75-1.75
7 = the cost of the bike lock with the 20% markdown
Now you have to find the sales tax.
7 x 0.07
0.49
7 + 0.49
7.49 = total cost with all the stuff
Hopefully this was helpful. There is a shorter method too tho.
Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
(x-5)(x+7).
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7