we differentiate the function z = e^[tex](stcos(θ))^{2}[/tex] with respect to s and t. The results are ∂z/∂s = e[tex](stcos(θ))^{2}[/tex]t and ∂z/∂t = [tex]-se^{(stcos(θ) }[/tex])×sin(θ).
Given the function z = [tex]e^{(rcos(θ)) }[/tex], where r = st and θ = [tex]s^{6}[/tex] × [tex]t^{6}[/tex], we want to find the partial derivatives ∂z/∂s and ∂z/∂t.
Applying the chain rule, we differentiate z with respect to s and t separately:
∂z/∂s = (∂z/∂r) × (∂r/∂s) + (∂z/∂θ) × (∂θ/∂s)
= [tex]e^{(rcos(θ)) }[/tex] × t + 0
= [tex]e^{(rcos(θ)) }[/tex] × t
∂z/∂t = (∂z/∂r) × (∂r/∂t) + (∂z/∂θ) × (∂θ/∂t)
= [tex]e^{(rcos(θ)) }[/tex] × scos(θ)t + [tex]e^{(rcos(θ)) }[/tex] × [tex]6s^6 t^5[/tex]
= [tex]e^{(rcos(θ)) }[/tex] × scos(θ)t + [tex]6s^6t^5[/tex] × [tex]e^{(rcos(θ)) }[/tex]
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someone on this god forsaken planet help me
Answer: Lol
B (-8,-5)
D (-10,-4)
C (-8,3)
Step-by-step explanation:
the equati...
Solve the equation 3(x + 4.5) = 36.
If you get stuck, use the diagram.
36
4.5
X = ?
Answer:
x = 7.5
Step-by-step explanation:
Answer:
75
Step-by-step explanation:
if you put 3 in the x it is now 3 but the x it is there with the 3 and do 3 with the 4.5 and then add them to each of them then you get your answer
1. Use the inequality 12≥6(12x+2).
a. Apply the Distributive Property to the right side.
b. Solve the inequality.
Ella is 66 inches tall. Andy is 6 1/2 feet tall. Who is taller? By how much? (12 inches = 1 foot)
Answer:
Andy is taller by one foot or 12 inches
Step-by-step explanation:
Ella = 66 inches = 5'6"
Andy = 6 1/2 feet = 6'6"
Andy is taller by one foot or 12 inches
Andy is taller by one foot or 12 inches
Given:
Ella is 66 inches and Andy is 6 1/2 feet.
12 inches = 1 feet.
Convert inches in to feet.
12 inches = 1 feet.
1 inches = 1/12 = 0.083
66 inches = (0.083 * 66) = 5.5 feet.
Andy = 6 1/2 feet = 6.5 feet.
6.5 > 5.5 (6.5 is greater than 5.5).
Andy is taller by one feet or 12 inches
Therefore, Andy is taller by one feet.
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define el concepto de renacimiento y el de humanismo
Answer:
Renacimiento es el nombre dado en el siglo XIX a un amplio movimiento cultural que se produjo en Europa Occidental durante los siglos XV y XVI. ... El Renacimiento fue fruto de la difusión de las ideas del humanismo, que determinaron una nueva concepción del hombre y del mundo.
Step-by-step explanation:
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Twelve students share 3 pizzas equally. What fraction of a pizza does each student
get?
Answer: 4/12
Step-by-step explanation: 4 over 12
What is the correct vocabulary term for a number variable product or quotient in an expression
Michael sells 136 newspapers each week. If there are 52 weeks in a year, how many newspapers does Michael sell in a year?
Answer:
7,072
Step-by-step explanation:
136 times 52 = 7,072
Answer:
7,072 newspaper in a year
Step-by-step explanation:
Multiply: 136*52=7,072
(I would put a picture of my work but I'm lazy right now lol)
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Brainliest?!?!
2. The weather forecast calls for 12 cm of snow. How many inches
can you expect?
4. You have a 1.5 gal jug. How many litres will it hold?
5. Joe is travelling in the United States. A road sign indicates he is
228 mi from his destination. How many kilometres is Joe from
his destination?
Answer:
2. 1 inch
4. 5.68 liters(if we estimate)
5. 366.96 kilometers
Step-by-step explanation:
2. centimeters to inches
4. gallons to liters
5. miles to kilometers
What is the Value of X
What is the Length of JM?
Answer:
JM = 17
x = 12
Step-by-step explanation:
The given triangles are similar with ASA rule if so then x + 5 must be equal to 2x - 7
x + 5 = 2x - 7 and 5 + 7 = 2x - x
12 = x
The length of JM
2x - 7 can be written as 2×12 - 7 = 17
Three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour
Answer:
0.5 pounds per container.
Step-by-step explanation:
just divide 3 pound by 6 containers so it would be 3/6 which is equal to 1/2 which is the same as 0.5
There each container holds a number of pounds of flour which would be 0.5 pounds.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation.
If three pounds of flour are divided into 6 containers so that each container holds the same number of pounds of flour, we can find out how many pounds of flour each container holds by dividing the total amount of flour by the number of containers.
We can use the following equation to find out how many pounds of flour each container holds:
pounds of flour per container = total pounds of flour / number of containers
So, using this equation:
pounds of flour per container = 3 / 6
Apply the division operation, and we get
pounds of flour per container = 0.5
Each container holds 0.5 pounds of flour.
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4
1
(12−8×)=
3
2
(6×)
creo que es 32 por la cultura
NEE HELP!
Solve for x, round your answer to the nearest hundredth: 5lnx + 2 = 17
*need step-by-step solution
Answer:
e^3
Step-by-step explanation:
5ln(x)+2=17
5ln(x)=17-2
5ln(x)=15
ln(x)=15/5
ln(x)=3
e^ln(x)=e^3
x=e^3
Use a unit multiplier to convert 0.37 liters to milliliters.
Answer:
370
Step-by-step explanation:
Multiply the number of liters (L) by 1,000 to find the number of milliliters (mL). There are 1,000 times as many milliliters as there are liters. For instance, say you have 3 liters. Simply multiply 3 liters by 1,000 to get 3,000 milliliters.
There are 24 pints of juice in 2 containers, how many pints of juice in 1 container?
Question 1 options:
6
12
2
48
A teepee is designed to have a diameter of 10 ft and a volume of 366ft³ what is the height? A.15ft , b.14 ft, c 5ft, or 1 ft
Answer:
B. 14 ft approx
Step-by-step explanation:
Given data
A teepee has a conical shape
Diameter= 10ft
radius= 5 ft
Volume = 366ft³
Height = ????
The expression for the volume is
V= 1/3πr^2 h
substitute
366= 1/3*3.142*5^2*h
366= 1/3*78.55*h
366= 26.18h
h= 366/26.18
h=13.98 ft
h= 14 ft approx
Hence the Height is 14 ft approx
Answer:
14 ft
Step-by-step explanation:
a p e x!
Ayuda!
Necesito el inciso k) por 10 puntos
Answer:
x=47is your answer
3x-11=130(alternate angle)
3x=130+11
x=141/3=47
The table represents some points on the graph of the exponential function that models the radioactive decay of a sample of xenon-135.
Which statement about the graph of this function is true?
(See the picture below)
A) There is an asymptote at y = 70.
B) The y-intercept is located at (0, 70).
C) There is an asymptote at x = 0.
D) The x-intercept is located at (70, 0).
Answer: b the y-intercept is located at (0,70)
The exponential curve passes through the point (0, 70). Then the correct option is B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The table addresses a few focuses on the diagram of the outstanding capability that models the radioactive rot of an example of xenon-135.
At x = 4.6, the value of 'y' will be 49.5.
[tex]\rm 49.5 = ab^{4.6} \ \ \ \ \ \ \ ...1\\[/tex]
At x = 9.2, the value of 'y' will be 35.
[tex]\rm 35= ab^{9.2} \ \ \ \ \ \ \ ...2[/tex]
From equations 1 and 2, then we have
[tex]\rm \dfrac{b^{9.2}}{b^{4.6}} = \dfrac{35}{49.5}\\\\b^{4.6} = 0.707\\\\b = 0.927\\[/tex]
Then the value of 'a' will be
[tex]\rm 49.5 = a (0.927)^{4.6}\\\\a = 70[/tex]
Then the equation is given as,
y = 70 · (0.927)ˣ
The graph is given below.
The exponential curve passes through the point (0, 70). Then the correct option is B.
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Paisley invests money in an account paying a simple interest of 8.9% per year. If she invests $80 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
it will be removed
Step-by-step explanation:
Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5)
Answer:
x = 2/3
Step-by-step explanation:
4x + 6 = 10x + 10
4x = 10x - 4
6x - 4
x = 2/3
Have a great day <3
which one of the following is NOT a polynomial option 1. x^2-2x+3 option 2. 11x-9. option 3. 3/y
Answer:
option 3
Step-by-step explanation:
Angles are not necessarily drown to scale.
Answer:
ask ur teacher its pointless
Step-by-step explanation:
no one knows
GUYS PLEASE ANSWER THIS QUESTION BELOW. I AM 1 BRAINLIEST AWAY FROM EXPERT AND NEED SOMEONE ELSE TO ANSWER THIS QUESTION SO I CAN GET BRAINLIEST! YOU DON'T NEED TO ANSWER IT RIGHT JUST TYPE SOMETHING RANDOM!! Thank you!!
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Answer:
Done :)
Step-by-step explanation:
Best of luck!
Solve for x
X=4
3/2x+8=-1
what is the surface area of the cylinder with height 3km and radius 7km
Answer:
A=439.82 or A=439
Step-by-step explanation:
~~~~~~~~:)
What additional information would you need to prove
Answer:
A
Step-by-step explanation:
We use the Hypotenuse Leg Theorem
When we know the hypotenuse and a leg of a triangle.
We know The Hypotenuse (TO) so we need to know A leg of the triangle which the only leg is TM and OR.
Plsssss help me, It says find the area
Answer:
It should be 136
Step-by-step explanation: I split it up into multiple pieces
Rectangle 1= 20*2=40
Rectangle 2= 14*4=56
Rectangle 3= 20*2=40
40+40+56=136
Rodrigo practiced playing the guitar 15 1/3 hours over the past 3 weeks. He practiced for 5 1/4 hours during the first week and 5 2/3 hours during the second week.
Answer:
[tex]4 \frac{5}{12}[/tex]
Step-by-step explanation:
The computation of the number of hours practiced on the third week is given below:
= Total hours over the past 3 weeks - first week - second week
[tex]= 15 \frac{1}{3} - 5 \frac{1}{4} -5 \frac{2}{3}\\\\= \frac{46}{3} - \frac{21}{4} - \frac{17}{3}\\\\= \frac{184 - 63 - 68}{12} \\\\= \frac{53}{12}\\\\= 4 \frac{5}{12}[/tex]
Answer: is is correct
Step-by-step explanation:
help, look at picure
Answer:
x=3
Step-by-step explanation:
61/4=15 1/4
5(3)=15+(1/4)=15 1/4
(1x)/(2)=12
PLEASE SHOW THE WORK!!!
Answer:24
Step-by-step explanation:
simplify 1 * x to x
x/2=12
multiply both sides by 2
x=12 * 2
simplify 12 * 2 to24
x=24