To find the equation of the tangent plane to surface S at point (7,5,4), we first need to find the partial derivatives of the parameterization function r(u,v).
∂r/∂u = <3, 15u^2, 0>
∂r/∂v = <2, 0, 2v>
Evaluating these partial derivatives at (7,5,4), we get
∂r/∂u (7,5) = <3, 1875, 0>
∂r/∂v (7,5) = <2, 0, 8>
Next, we can find the normal vector to the tangent plane by taking the cross product of these partial derivatives:
N = ∂r/∂u x ∂r/∂v = <-15000, 6, -5625>
The equation of the tangent plane can then be written as:
-15000(x-7) + 6(y-5) - 5625(z-4) = 0
To set up the double integral that represents the surface area of S, we can use the formula:
Surface area = ∫∫ ||∂r/∂u x ∂r/∂v|| dA
where dA = ||∂r/∂u x ∂r/∂v|| du dv
Plugging in our parameterization function and taking the cross product of the partial derivatives as before, we get:
||∂r/∂u x ∂r/∂v|| = sqrt(2250000u^2 + 4v^2 + 42187500u^4)
So the surface area of S can be found by integrating this expression over the given ranges of u and v:
∫∫ sqrt(2250000u^2 + 4v^2 + 42187500u^4) du dv, 0 ≤ u ≤ 8, 0 ≤ v ≤ 6.
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Jack made 9 identical bags using 5 yards of fabric. How much fabric did Jack use for each bag? Solve on paper and check your work on Zearn.
Answer: 5/9 yards
Step-by-step explanation:
From the question, we are informed that Jack made 9 identical bags using 5 yards of fabric.
To calculate the amount of fabric that Jack use for each bag, we have to divide 5 by 9. Thus will be:
= 5 / 9
Therefore, it means that Jack used 5/9 yards for each bag
A leisure aircraft is owned by the Broadland Flying Group which has 10 members. The costs of keeping the aircraft comprise maintenance costs (including insurance) and the running cost which is mainly fuel. Average fuel consumption is 9 miles per gallon. If the 10 members of the Group are to share costs equally, write down a formula to enable Gordon the treasurer to calculate the annual cost for each member if the aircraft travels n miles in a year, incurs maintenance costs of £M and fuel costs £3 a gallon.
Answer:
£(M + n/3) / 10
Step-by-step explanation:
Given that :
Number of members = 10
Fuel consumption = 9 miles per gallon
Consumption for n miles = n/9 GALLONS
Cost of fuel = n/ 9 * £3 = 3n / 9 = £n / 3
Maintainace cost = £M
Annual cost per member :
£(M + n/3) / 10
Find the measure......
Answer:
the answer would be S/ 2= 140/ 2 = 70°
Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for
graph the linear equation y = -6x - 5
this was my answer from demos
10 + 2.5x > 35 please help meeee
[tex]x > 10[/tex]
Step-by-step explanation:
1) Subtract 10 from both sides.
[tex]2.5x > 35 - 10[/tex]
2) Simplify 35 - 10 to 25.
[tex]2.5x > 25[/tex]
3) Divide both sides by 2.5.
[tex]x > \frac{25}{2.5} [/tex]
4) Simplify 25/2.5 to 10.
[tex]x > 10[/tex]
Therefor the answer is, x > 10.
the sum of two consecutive multiples of 4 is 36 . find the multiples ???
PLZZZZZZZZZ help me now
Answer:
The numbers are 16 and 20
Step-by-step explanation:
Let the multiples be: x+4 and x+8
Sum is 36, so we can make an equation:
x+4+x+8=36
2x=36-12
x=12
The numbers are 12+4=16, 12+8=20.
Hope this answer helped you! If so, please leave a rating and let me know if I was correct. (Hopefully Brainliest, but totally up to you.) Have a great day!
Si 2X -7 = 3, luego 3X + 1 =
(1) 4
(2)5
(3)7
(4)12
(5)16
Answer:
2x-7=3
2x=3+7
{2x=10}÷2
x=5
꧁꧁꧂꧂
3x+1=
{3x=1}÷3
x=1/3
coat is 20% off. If the regular price of the coat is $225, what is the sale price of the coat?
Answer:
$180
Step-by-step explanation:
$225 times .20 = 45 . 225-45=180
Answer:
$180
Step-by-step explanation:
Find 1% of the price.
100% = 225
1% = 225 ÷ 100 = 2.25
100 - 20 = 80% (Percentage of sale price)
80% = 2.25 x 80 = 180
A newspaper invited readers to call a telephone number and record their comments. The next day they reported that readers overwhelmingly prefer two-way traffic flow to one-way streets. This is an example of: A. A convenience sample B. A self-selected sample C. A systematic sample D. A random sample does anyone know the answer
Answer: Self selected sample
Step-by-step explanation:
They people chose themselves
This is an example of: B. A self-selected sample , Option B is the answer.
What is a self-selected sample ?A self selected sampling technique is one in which the researcher puts out a call or publicises so that individuals and organisations can take part in the survey on their own will which saves the time for searching for the appropriate people .
It is given that
A newspaper invited readers to call a telephone number and record their comments.
This is an example of: B. A self-selected sample
Therefore Option B is the answer.
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Find the area of the circle 18in
1017.88in^2
You need to use pi
Answer:
1017.88inches^2
Step-by-step explanation:
Area of a circle=pi * radius^2
324*pi=1017.88
find the m and b of the table
9514 1404 393
Answer:
m = 1/2
b = -7
Step-by-step explanation:
The formulas for these can be used.
m = (y2 -y1)/(x2 -x1) . . . . . . . . . formula for slope given 2 points
m = (-9 -(-11))/(-4-(-8)) = 2/4
m = 1/2
__
b = y1 -m·x1 . . . . . . . . . . . . formula for y-intercept given slope and point
b = -11 -(1/2)(-8) = -11 +4
b = -7
.
Simplify the radical expression.
−4x2
2x2
−2x2
4x2
What is the solution to the equation 3^x = 10?
Answer:
log3 (10) = x
the 3 is a tiny 3
Step-by-step explanation:
remember the saying, left right left.
so, 3 goes to the left, x goes to the right, and 10 goes to the left side of the equal sign which in turn comes out to log3(10) =x
Express the function F in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions for f(x) and g(x).) F(x) = x + 2
Answer:
[tex]F(x) = f \circ g[/tex]
[tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
Step-by-step explanation:
Given
[tex]F(x) = x + 2[/tex]
Required
Express as
[tex]F(x) = f \circ g(x)[/tex]
In functions:
[tex]f \circ\ g(x) = f(g(x))[/tex]
So, we have:
[tex]f(g(x)) = x + 2[/tex]
g(x) can be set to x and f(x) to x + 2
Hence:
[tex]F(x) = f \circ g[/tex]
When: [tex]f(x) = x + 2[/tex] and [tex]g(x) = x[/tex]
how muck is in kilograms?
Answer:
1000grams= 1 kilogram
Step-by-step explanation:
Answer:
1000 grams = 1 Kilo
Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.
Part A
Write a function for the amount that will be in the account after t years.
Part B
What is the value of the account after 8 years?
a) The function is given as follows: [tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]
b) The value of the account after 8 years is given as follows: $7,384.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
P is the principal, which is the value of deposit/loan/....r is the interest rate, as a decimal value.n is the number of times that interest is compounded per year, annually n = 1, semi-annually n = 2, quarterly n = 4, monthly n = 12.The parameter values for this problem are given as follows:
P = 5280, r = 0.042, n = 12.
Hence the equation is given as follows:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(t) = 5280\left(1 + \frac{0.042}{12}\right)^{12t}[/tex]
The value of the account after 8 years is obtained as follows:
[tex]A(8) = 5280\left(1 + \frac{0.042}{12}\right)^{12 \times 8}[/tex]
A(8) = $7,384.
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Distance between (-1,-2) and (8,0)
Answer:
9.219544
Step-by-step explanation:
(8 - -1)^2 + (0 - -2)^2 = 85, sqrt 85 = 9.219544
Answer:
Step-by-step explanation:
Distance formula : d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((8-(-1))²+(0-(-2))²)
d=√((9)²+(2)²)
d=√(81+4)
d=√(85)
d = 9.21954445729
Vincent had 97 rocks in his collection. He found 48 more at the beach. How many did he have in all ?
Answer:
145
Step-by-step explanation:
97+48
7+8=15
9+4+1=14
145
59:
Evaluate the function requested. Write your answer as a fraction in lowest terms.
B
39
15
36
Find tan A
a
5
tan A =
13
C.
5
tan A -
12
b.
13
d.
12
tan A =
tan A -
5
Answer:
Step-by-step explanation:
I NEED HELP ASAP WILL GIVE BRAINLYEST
Answer:
-8
Step-by-step explanation:
First simplify the expression to -(2^5)^3/5. Then you get -2^3, which is simplified again to -8.
CAN SOMEONE HELP LIKE RN I NEED IT QUICK
Write your question here (Keep it simple and clear to get the best answer) simplify (3x-4y)(5x+2y)-(x+y)
Answer:
15x^2−14xy−8y^2−x−y
Step-by-step explanation:
Combine like units.
Answer:
hope it helped
have a good day
Dont be shy- drop the answer :)
Answer:
-11x = -55
x = 5
Step-by-step explanation:
Hope that helps!
PLEASE HELP!!
The cost to rent a chain saw for two days and a brush chipper for two days is $272. The cost to rent a
chain saw for two days and a brush chipper for one day is $195. Write a system of equation to solve to
find the cost of renting a chain saw for one day.
Plz help me with 18 is not -0.95
Answer:
Please refer to the attachment.......
1. Which of the following equations would NOT contain the point (4,12)?
A. y=-1/2x+14
B. y=1/2x+8
C.y=-2x+20
D.y=3/4x+9
Answer:
the answer is b hope this helps :)
HELP ASAP! EXPONENTIAL FUNCTIONS
You get scores of 72 and 88 on 2 science tests. You have to have an average of at least 85 to not be grounded by your parents. What score do you need to make on your next test to not be grounded?
Answer:
95
Step-by-step explanation:
72+88+95=255:3= 85
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 8463160
Step-by-step explanation:
Answer:
8463160
Step-by-step explanation:
https://byjus.com/rounding-to-the-nearest-tenth-calculator/