Use Stokes theorem to evaluate ff.curl F.nds. where F = (xyz, x, e* cos z), while S is surface x² + y² + z² = 9 for z ≥0 with upward orientation. ms: 257

Q: Two mutually exclusive events A and B have probabilities P(A)= and P(B) = Find P(AUB).

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: 1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give the solutions in polar form…

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post…

Q: 1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give the solutions in polar form…

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Q: * Please write explanation and don't use calculator Consider a damped spring-mass system with ? =…

A: Given,m=1kg, k =4kg/s2 ,b =5kg/sand ω=2rad/s

Q: Consider the paraboloid paremterized by o(u, v) = (u, v, u² + v²). 1. Find the second fundamental…

A: 1 Consider the paraboloid parameterized by σu,v=u,v,u2+v2. We have to find the second fundamental…

Q: (c) Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially,…

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Q: no of edges for a tree with number of vertices 10 is

A: Solution :  Given that The number of vertices n = 10

Q: Set up the triple integral that will give the following: the volume of R using cylindrical…

A: To set up the triple integral that will give the volume of the below solid R using cylindrical…

Q: 7. The coin is tossed twice. Which of the following is the correct representation of the sample…

A: ans 7  (a) {HH, HT,TH,TT} Ans 8 (d)   36 (6 into 6)

Q: Car Evaluate the integral a(z-a)"dz = where Car denote the circle of radius 0 if n = -1 (2πi if n =…

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Q: The number of computers sold per day at a local computer store, along with its corresponding…

A: X P(X) X.P(X) (X-μ) (X-μ)2 (X-μ)2.P(X) 0 0.1 0 -2.2 4.84 0.484 1 0.2 0.2 -1.2 1.44 0.288 2 0.3…

Q: 2)Use Stokes' Theorem to evaluate [F.dr where E2xyi, y² j‡ 2xzk and Sis the first octant с surface…

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Q: (b) Express the following function in terms of unit step function (1 0≤t<1 f(t)=2-t 1≤t<2. t≥2 Hence…

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Q: Identify the surfaces of the following equations by converting them into equations in the Cartesian…

A: (a) Given equation is z2= 4+4r2  ......(1) The equation is in cylindrical coordinates. The…

Q: Obtain the circulation integral of the field F = (x+eªseny)î + (x + e* cosy) in the curve C defined…

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Q: A. Direction. Write the characteristics of inductive and deductive reasoning by completing the Venn…

A: A. Inductive reasoning:- Inductictive reasoning is a bottom up approach. It takes us from specific…

Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z…

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Q: if f is any closed Set of X Such that D≤f then F=X 3 if Bx is a base of x Space, then UnD $ $U<B 47…

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Q: 7. Alan has 20 ducks and goats on his backyard. The animals have 64 legs altogether, how many ducks…

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Q: - complete solutions.

A: The co-ordinate related as x=rcosθy=rsinθz=zx2+y2=r2θ=tan-1yx Then,…

Q: 1. Find the linear regression у 0.7 0.19 0.96 0.21 1.13 0.23 1.57 0.25 1.92 0.31

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Q: How many distinct values can z = i^(3i) take on?

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Q: at lies above the cone z = obori 3x² + 3y² and below coordinates Draw the solid R

A: b) T drawn the solid of B as,

Q: 11. Write the integral that gives the area of the surface generated when the curve y = ln x + 2 on…

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Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution 2x + 1…

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Q: (b) Q(√2, √3) over Q(√6).

A: This question from field extension

Q: True or false. Justify your answer.

A: According to guidelines I solve first 3 subparts so kindly request you to repost the remaining…

Q: Find a recurrence relation and initial conditions for the sequence 1, 4, 13, 40, 121, 364, ...

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Q: 5√2 x Evaluate the integral ² cos ²0+2²) r do dr dz. 000 The value is (Type an exact answer, using x…

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Q: wer contain e drawer c x, one draw

A: Given information: There are 3 boxes and 6 drawers in them. Each box contains two drawers where…

Q: Q5/ Use double integration in Polar coordinates to find the shaded area in figure (the area inside…

A: The area is A=2∫π6π4∫2 cosθ2 sin2θr dr dθ We now evaluate this: A=2∫π6π4∫2 cosθ2 sin2θr dr…

Q: Write the following proposition in simple English which is given symbolically in the notations of…

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Q: ) Find the result of the following equation: A = 3² + 3+3² √2

A: To find the result of the given equation :-

Q: 3 By direct partial integration, Solve the following PDES 8- J 8²u axdy 2 = cosx cosy, x4(X₂ #) =X U…

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Q: du dt = 2 824 dx2 Ans u(x₂+) = -200 8 ● @ o u (o₂t) =(4,t) = 0 u (x,0) = 25 X 22 -n²tl8 sin n -200…

A: To solve a PDE by variable separation method, assume u(x,t) = X(x) T(t) to get pair of ODEs and use…

Q: Solve: y''y' 6y = - 12t + 28 - y(0) = -6, y'(0) 21 y(t) =

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Q: -losed E

A: Volume enclosed by hyperboloid z=1+x22+y22 under the plane

Q: Q2(a) The temperature at one end of a bar 10cm long and with insulated sides is kept at 0°C and that…

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Q: 2. A man put a pair of rabbits in a cage. During the first month the rabbits produced no offspring…

A: It is given that during the first month the rabbits produce no offspring and thereafter produced one…

Q: Set up only a triple integral that will give the following: the volume of the solid B that lies…

A: We will use relation between cartesian and spherical co ordinate system to find volume using triple…

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: Theorems Let Exy and fy} betw. Sequence in nor Хм тул шэх+у 2X₂ Wh

A: We will use definition of convergence of sequence

Q: 4. Evaluate the double integral: Sa+1 ¹/3 27 +1 (Hint: Change the order of integration to dy dr.) dr…

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Q: Q4\ Find the average value of f(x,y) = (+√y) where 0≤x≤y and 0 ≤ y ≤ 4.

A: We have to find the Average value of given function in given domain.

Q: Find a parameterization of the cap cut from the sphere x² + y² +2²=25 by the cone z = √√x² + y².…

A: Solution :  Options (B) is correct

Q: 1. Find the inverse of A = 1 0 2 3 1 1 using the Gauss-Jordan method.

A: As per norms, we will be solving only one question. If you need an answer to others then kindly…

Q: 2. Solving the equation t A) f(t) = 1+ est 1 B) f(t) 1+ est t C) f(t) 1- est D) f(t) 1 - est [₁ f(u)…

A: Solution :  Options (B) is correct

Q: Q2: If P(A) = 0.25, P (B)=0.45, P (AB)=0.43, draw the Venn diagrams and determine the following…

A: Given that                    P(A)=0.25, P(B)=0.45, PAc∩Bc=0.43

Q: Let p = "It is extremely humid." Let q = "It will rain tomorrow." Convert into symbols: a. "If it is…

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Q: = 0.2, 1. Solve the following problems using Euler's method with stepsizes of h Compute the error…

A: Euler method: For a given IVP of the form y'(x)=f(x,y), y(x0)=y0, the iteration formula is given by…