Answer:
13
Step-by-step explanation:
If you plug in 5 for x you get...
f(5)= 3(5) - 2
f(5)= 15 - 2
Therefore, f(5) = 13
Answer:
f(5)=13 <- really the right answer this time haha
Step-by-step explanation:
f(5)=3(5)-2
=15-2
=13
Use polar coordinates to find the volume of the given solid.
Below the plane
2x + y + z = 4
and above the disk
x2 + y2 ≤ 1
Using polar/cylindrical coordinates, we take
x = r cos(t )
y = r sin(t )
z = z
so that
dV = dx dy dz = r dr dt dz
The solid is given by the set
D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}
or in cylindrical coordinates,
D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}
Then the volume of the solid is
[tex]\displaystyle \iiint_D \mathrm dV = \iiint_Dr\,\mathrm dr\,\mathrm dt\,\mathrm dz \\\\ = \int_0^{2\pi} \int_0^1 \int_0^{4-2r\cos(t)-r\sin(t)} r\,\mathrm dz\,\mathrm dr\,\mathrm d t \\\\ = \int_0^{2\pi}\int_0^1 (4r-2r^2\cos(t)-r^2\sin(t))\,\mathrm dr\,\mathrm dt \\\\ = \int_0^{2\pi} \left(2 - \frac23 \cos(t) - \frac13 \sin(t)\right) \,\mathrm dt \\\\ = \boxed{4\pi}[/tex]
The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.
What is the volume of the solid in polar coordinates?The volume of the solid in polar coordinates can be calculated by the double integral in polar coordinates.
[tex]V = \iint_R f(x,y) \,dA.\\[/tex]
Similarly, by polar coordinates,
x = r cost
y = r sint
z = z
we get, dV = dx dy dz = r dr dt dz
The solid is given
D = {(x, y, z) : x ² + y ² ≤ 1 and 0 ≤ z ≤ 4 - 2x - y}
or in polar coordinates,
D = {(r, t, z) : 0 ≤ r ≤ 1, 0 ≤ t ≤ 2π, and 0 ≤ z ≤ 4 - 2r cos(t ) - r sin(t )}
The volume of the solid is
[tex]\rm \int \int\int\ dV = \int \int\int\ rdr dt dz\\ \rm = \int\limits^{2\pi}_0\int\limits^1_0 \int\limits^{4-2rcost-rsint}_0 rdr dt dz\\\rm =\int\limits^{2\pi}_0\int\limits^1_0 {4r-2r^{2} cost-r^{2} sint} dr dt\\\rm =\int\limits^{2\pi}_0( 2-2/3cost-1/3sint) dt\\\rm =4\pi[/tex]
Hence, The volume of the given solid below the plane 2x + y + z = 4 and above the disk x2 + y2 ≤ 1 is 4π.
Learn more about the volume of the solid;
https://brainly.com/question/12649605
In the graph below, what are all values of x
for which y = 0?
02
4
00
MA
plss hurry
if Austin burns 120 calories per 30 minutes of weight training how many calories would he burn in 10 minutes?
please help I have a test in 1 hour and I need to know this by then!
Answer:
40 calories per 10 min
Step-by-step explanation:
Because 30 divided by 3 is 10 and 120 divided by 3 is 40
me ayudan a resolver esto?
Step-by-step explanation:
es 1
6/9+2/3+10/2(5)=
6+6+45/9=
57/9
es 2
-3/6-2/4-10/5(2)=
-6-6-24/12=
36/12=3
es 3
15/8-3/2+8/9=
135-108+64/72=
91/72
URGENT JUST THE FIRST QUESTION
Step-by-step explanation:
gradient=3/3=1
that is the answer
List all the positive even numbers less than 10:
Answer is
2, 4, 6, 8
Hiiii a little help here plz !!!!
well you see I'm supposed to answer this with 20 character so my bad for the long response, but I'd go with C
Y=arccos(1/x)
Please help me do them all! I don’t know derivatives :(
Answer:
sorry bro I even don't know coz I am class 7
if f(x)=4x-2/3 what would f(a+3) be
Answer:
it will look like this 4(a+3)-2/3
Step-by-step explanation:
look since the equation "a+3" replaced for the place of "x" in f(x), you replace it on the equation "4x- 2/3" and just solve
Answer:
Step-by-step explanation:
Id..k how to help u sorry
A small theater had 8 rows of 24 chairs each. An extra 9 chairs have just been brought in. How many chairs are in the
theater now?
Answer:
201
Step-by-step explanation:
8 x 24 is 192
another 9 chairs are added
192+9
201
simplify : (2x^3 - 10x^2 + 5x +14) / (x-2)
If RS = x + 2 and ST = 2x, what is ST?
Answer:
ST = 2x
Step-by-step explanation:
if not please elaborate on the question.
What is -5 - 9 - 13 equal to?
Answer: -27
Step-by-step explanation: subtract -5 and - 9 to get -14, then subtract -13 and -14 to get -27
X= $25,000
1,500+.2(x-10,000)
Answer:
x-525000+0
Step-by-step explanation:
Rectangle ABCDA has a perimeter of 54 Inches and a length that is twice the width. Which equation
A.54-2W
B.54=3w
C.54=5w
D.54-6w
Answer:
54 = 6x
Step-by-step explanation:
Does this equation have exactly one solution
Answer:
[tex]13x + 7 = 9x - 33 + 4x \\ 7 + 33 = 13x - 13x \\ \\ 40 = 0 \\ \\ no[/tex]
The volume of a rectangular prism is
represented by the expression x3 + 5x2 - 8x -
48 If the length is (x – 3) and the height and
width are equal, what is the width of the prism?
(x + 4)
(x-4)
(x - 2)
(x + 2)
plsss hurry
Answer:
[tex]x+4[/tex]
Step-by-step explanation:
This question is essentially asking: [tex]p(x)^2*(x-3)=x^3+5x^2-8x-48[/tex]. Find [tex]p(x)[/tex].
The left hand side can be factored into [tex](x-3)(x+4)^2[/tex] by the rational root theorem and polynomial division.
We can then divide both sides of the equation to get [tex]p(x)^2=(x+4)^2[/tex].
Finally, we take the square root of both sides to obtain [tex]p(x)=x+4[/tex].
So, the answer is [tex]\boxed{x+4}[/tex]
Need help fast please. Need help please.
5z^3 – 2z^4 – 9z^2 + 2
What is the degree of the polynomial?
A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 408 milliliters of the drug, how many milliliters of compound A are needed?
Answer:
153
Step-by-step explanation:
The formula is 3 mL of A to 5 mL of B.
Let's say the chemist uses just the numbers in the formula.
Add 3 mL of A to 5 mL of B.
3 mL + 5 mL = 8 mL
The chemist ends up with 8 mL of the drug.
He really want 408 mL.
408 mL is how many times greater than 8 mL?
408/8 = 51
He needs to use 51 times the numbers in the formula.
51 * 3 mL of A + 51 * 5 mL of B =
= 153 mL of A + 255 mL of B
= 408 mL of the drug
Answer: 153
Hello! I would like some help. Thank you!
Find the length of the right triangles other leg. Round to the nearest tenth. Leg=10
A. 6.6 ft
B. 15.6 ft
C. 43.6 ft
D. 2ft
Thank you!!!
Answer:
A. 6.6 ft
Step-by-step explanation:
Write the polynomial that has factors of -15 and 3.
Answer:
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.
Step-by-step explanation:
Enter the number 10.333333333333 rounded to the nearest hundredth (two decimal places):
how do i write the word form and the expanded form for 3.4 and 2.51
Answer:
(3×1)+(4/10) & two and fifty-one hundredths
Step-by-step explanation:
In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.
1. 3.4
[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]
2.2.51
two and fifty-one hundredths
Hope this helps.
help pls. with explanation
Answer:
the answer is infinity....
Write the point slope form of a line that passes through (1,-5) and is perpendicular to a line with a slope of 1
Answer:
y + 5 = -1 (x - 1)
Step-by-step explanation:
y = -1
y + 5 = -1 (x - 1)
Write the scale without units: 1 in:9 yd
Answer:
1:9
Step-by-step explanation:
that's how you write scale
I need help please! (23)(−98)(−45)(−1)
Answer:
−101430
Step-by-step explanation:
Pictomath lol
Tara has 3 dogs and 4 cats.
The dogs have a mean weight of x kg.
The cats have a mean weight of y kg.
Write down an expression, in terms of x and y, for the mean weight of all 7 of Tara's pets.
PLEASEEE!! HEPPPP!!
It takes Shonda of an hour to dry one load of laundry in her dryer. How many hours will it take her to dry 4 loads of laundry?
A. 1/5
B. 1 3/5
C. 3 1/5
D. 4/5
No of hours
[tex]\\ \sf\longmapsto 4(1)[/tex]
[tex]\\ \sf\longmapsto 4 hours[/tex]
None of the above