Answer:
Choice D
Step-by-step explanation:
You use the formula V=pi(radius^2)(h). Once you take the pi out and plug in the numbers, you should get V= 6^2(9). You get 324 with the pi added on after it.
Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
Answer:
(1/4)*(e⁶ - 7)
Step-by-step explanation:
a) Given
x − y = 0 if x = 0 ⇒ y = 0
x − y = 2 if x = 0 ⇒ y = -2; if y = 0 ⇒ x = 2
x + y = 0 if x = 0 ⇒ y = 0
x + y = 3 if x = 0 ⇒ y = 3; if y = 0 ⇒ x = 3
then we show the region R in the pics 1 and 2.
b) We make the change of variables as follows
u = x + y
v= x - y
If
x - y = 0 ⇒ v = 0
x − y = 2 ⇒ v = 2
x + y = 0 ⇒ u = 0
x + y = 3 ⇒ u = 3
Where u is the horizontal axis and v is the vertical axis, the new region S is shown in the pic 3.
c) We evaluate ∫∫R (x + y)*e∧(x² - y²)dA
The procedure is shown in the pic 4, where we have to calculate the Jacobian in order to use it to get the answer.
Answer:
(1, 3)
Step-by-step explanation:
The first endpoint (the one on the left) is (-3, 2). The second endpoint (the one on the right) is (5, 4). To find the midpoint, find the middle of both x and y. To do that, add the values of x and y respectively and divide by 2:
for x-value of midpoint:
(x-value of first endpoint + x-value of second endpoint) / 2
= (-3 + 5) / 2
= 2 / 2
= 1
for y-value of midpoint
(y-value of first endpoint + y-value of second endpoint) / 2
= (2 + 4) / 2
= 6 / 2
= 3
Answer: 2
Step-by-step explanation:
2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]
15x-10=0+6+2x [Solve]
15x-10=16+2x [Convey the terms]
15x-2x=16+10 [Add up the same terms and calculate]
13x=26 [Divide both parts]
x=2
