Determine the flux of D = p² cos² þap + z sin ☀ a over the closed surface of the cyl- inder 0 ≤ z ≤ 1, p = 4. Verify the divergence theorem for this case. Answer: 647.

Q: 14. F(x)=sin(t²)dt. [sin(t²)dt . Find F '(1). O 0.292 0.540

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: e บ!

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Q: Divide as indicated x + 5 5 + 5x +25 6

A: Topic = Algebra

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Q: 3. Find y' for y= cos(sin² x) 4. If x=y√/1-y², find y dx

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Q: 4* Find the perimeter of a sector of a circle with central angle = 3 16 b) 0 (4+1) O c) 08 ft d) 0…

A: Given :Radius r= 4 ftCentral angle θ = 4π3

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Q: Find the area of the parallelogram determined by ?=⟨5,0,0⟩v=⟨5,0,0⟩ and ?=⟨0,−5,9⟩.and w=⟨0,−5,9⟩.…

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Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² (a) lim (2,3)+(0,0) 24+4 (b)…

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Q: ○ 0, 9]

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Q: variable, x, is x:2, 0.36, 0.21, 0.19, 0.10, 0.07 Calculate P(x >= 3.0) a. 0.47 O O b. 0.83 019…

A: Topic:- probability

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A: f(x)=x2-3x+2 g(x)=8-2x First of all, we have to write the functions in terms of y. Consider the…

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A: The diagram has been redrawn to indicate the required point.

Q: (Homogenous) Solve the diff eq. x dx e-x (y + 1) dy + y³ =

A: The given differential equation, xdxe-x+y+1dyy3=0 Formulas used:…

Q: Find expressions for the quadratic functions whose graphs are shown. f(x)= g(x) 11 y

A: Given :   f(x) Vertex ( h , k ) = ( 7 , 0 ) put point ( x ,y ) =( 8 , 2 )

Q: Q3: Solve the differential equation subjected to the condition y(e)=e² and give the result in…

A: Let's solve given differential equation.

Q: The means of 6, 6, 6, 6, 6, 6 is 6? O a. O False b. True

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Q: S fr² cos(2x) dx mukaans

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Q: How do you simplify eiπ?

A: To find the value of eiπ   Formula:   By Euler's formula: eix = cos x +i sin x

Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

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Q: The functions f and g are determined by f (x) = 2x-4 and g (x) = 1 / 2x + 3. The area of origin…

A: Given: f(x) = 2x-4  g(x) = 1/(2x+3)             the area of origin f is Df:{x| 2<x>6}…

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: See this solution in below.

Q: Q4. Choose two of the following: (a). If x = t - t² and y = t-t³. Find 2 by using Chain Rule. dx²…

A: a) x=t-t2 and y=t-t3 b) fx=1+x at x=3 c) fx=2a+x2,x≥12x+b,x<1 is continuous at x=1and f-1=5 Use…

Q: 13. Recall that nonzero vectors u and are called collinear if there exists a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ & v→ Nonzero scalar α such that v→=αu→ u→×v→=0→

Q: If Sin xy² = 4x − 3y, find - dy_4-y²cosxy2 dx 2xycosxy2+3 dy dx Option 1 O

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Q: 4. Consider the population model dP dr -0.3 (1-2) (0-1) P. dt 50 where P (t) is the population at…

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Q: Prove that sinh−1(x) = In( x+Vx2 +1)

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Q: 2. Find the total area of the region between the curve and the x-axis. a. y=2-x; 0≤x≤3 b. y=3x²-3;…

A: Topic:- application of integration     Note :- as per our guideline if more than three subparts…

Q: 5πT 4 Convert the angle from radians to degrees: 5πT 4 O

A:

Q: make

A: We have to find the following conditions according to the given information

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A: See the details solution in below

Q: lin +²-25 ++-5 2t² + 1lt +5

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Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: (4 4 Find the roots of Z²₁+1=0 it/2 Hint i = e :

A: Given :Z4+1=0Hint : i=eπ2i

Q: Consider the differential equation (xy + 3x − y − 3) dx = (xy − 2x + 4y − 8) dy. By separation of…

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Q: 3) Find the particular solution of the DE y" = 12x² if y(0) = 1 and y'(0) = 2.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Q4:B/Simplify [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's theorem?

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Q: s f(x) = sin(wt) odd, even, or neither? show graph and solution

A: Given: ft=sinωt   Analytically, we can check whether the function is even or odd with the condition,…

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: This is a problem related to probability distribution function. Please follow the procedure given…

Q: What is the dot product A•B if A=2x-3y and B=15x+10y?

A: We have to find dot product of A and B here

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Q: Calculate the means and standard deviations of:1, 2, 3, 4, 5 O a. a. mean = 3; st. dev. = 1.414 O b.…

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Q: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: Find the following limit. 2 lim h→0 √2h+1 +1

A: Limit

Q: y C (0,4) O R₂ y = 4√x R3 y = 4 x R₁ B(1,4) A (1,0) X

A: