Problem List Next Problem Use the Divergence Theorem to calculate the flux of F across S, where F = z/+ y+ zxk and S is the surface of the tetrahedron enclosed by the coordinate planes and the plane = 1 2 4 2 SSF dS =

Q: Let F(x, y, z) = 2z? xi + (y + tan(z))j + (2x²z – 2y²)k. Use the Divergence Theorem to evaluate F. d...

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Q: Solve the differential equation dy 2y - %3D dx sin x considering x(2) = 57. %3D

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Q: s-2 What is L- (s+2)2– 49 4 A e-"cosh 7t – – sinh 7t 7 4 cosh 7t--sinh 7t 7 B e-2cosh 7t– 4sinh 7t D...

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) = /...

A: Here by using the fundamental theorem of calculus we have to find the given derivative of the functi...

Q: Find the value V of the Riemann sum V = > f(Ck)Aak k= 1 for the function f (*) = x2 – 2 using the pa...

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Q: For the triangle shown, find the length AD. (Assume u = 19, v = 19, ∠x = 25°, and ∠y = 25°. Round yo...

A: Given that:  u=v=19,   x=y=25°                      

Q: 2 (a) Consider the functions f(x) = 1– a* and F(x) =| f(t) dt. i. Write a simplified form of F(x) = ...

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Q: 6. A tank contains 40 liters of a chemical solution prepared by dissolving 80 g of a soluble substan...

A: Given:      Since initially there are 40 l of solution prepared by 80 g of substance. So, V0=40     ...

Q: Suppose = (4, –4, 1) and i = (3, 1, –4). Then ux v is and ひ×u is

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Q: nt Use the model A = Pe" er A-P(1+). , where A is the future value of P dollars invested at interest...

A: $9000 is invested in an account earning 6.5% interest compounded continuously.

Q: A water quality control agency estimates that a certain factory discharges pollutants into a river a...

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Q: (2 + tan ²x)(1+ e¬y)dx – e-y tan x dy = 0

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Q: Find the scalar and vector projections of b onto a, where a = (1, 2) and b = (-4, 1). 1. comp, b 2. ...

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Q: Which of the following is a homogeneous linear differential equation? D³(D2 – 4)y = 3x+ 2e¯3x | о у"...

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Q: 9

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Q: Solve the following DE: a. (2x + 2y + 1)dx+ (x+ y-8) dy = 0 %3D

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Q: 2 4 8 a) S. =1+=+÷+ + + +... 3 9 27 1 1 1 b) S. =1+÷+÷+÷+ 4 9 16 + +... 1 c) S, =1+ 1 1 +... 13 14 1...

A: To solve the following problem

Q: A "surge function" is used in a wide range of mathematical models of real- world phenomenon, such as...

A: The given function S(t)=Ate-kt,  where A, k are both positive constants.

Q: 5. V is a volume of the solid obtained by rotating about line x = 1 the planar region bounded by cur...

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Q: Verify Green's Theorem by using a computer algebra system to evaluate both the line integral and the...

A: According to question, F = P i + Q j,   P(x, y) = 2x,   Q (x, y) = x3y6 .

Q: 66

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Q: Let f(x) = =(x - 1)3 + 2, and compute the Riemann sum of f over the interval [1, 3], using four subi...

A: Given f(x)=(x-1)3/4 +2

Q: Find two vectors j and 02 whose sum is (-3, -4), where j is parallel to (0, 5) while 02 is perpendic...

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Q: 5) Evaluate the following infinite series exactly. 10, 20. 40 а) 5+—+ 3 9 27 27 81 243 -+=+: 5! b) 1...

A: Please see the answer below.

Q: 17 Given that cos 0= <0<T, find the exact value of each of the following. 3 2 (a) sin (20) (b) cos (...

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Q: Solve the given LDE using the method of undetermined coefficients. (D2-2D+5)y = excosx

A: Given that, The differential equation is following, (D2 - 2D + 5)y = excosx We have to solve this di...

Q: Sve SVé -3 dt u = Ve' – 3

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Q: e curves y = 9 – 8x2 and y = 5 + x2. The area of this region c | Σ vithout making use of absolute va...

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

Q: 5. Solve the system of ODE's u' = v v' = w w' 3u – 7v – 5w

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Q: A tank contains 500 L of brine with 25 kg of dissolved salt. Brine containing 0.75 kg of salt per li...

A: Solution is here

Q: compute the values up to four decimal places of the following using maclaurin's series: Sinh^2 (0.5)

A: Calculation of value of sinh2(0.5)

Q: Given the equation x2 - 24x + 2y2 + 44 = 0 find the foci, vertices, directrix, axis, and asymptotes,...

A: Let's find. 

Q: Nancy and Andrea sold a total of $1501 of merchandise. Nancy's sales were $64 less than four times A...

A: Given that Nancy and Andrea sold a total of $1501 of merchandise . Nancy's sales were $64 less than ...

Q: (х-2)" Ln=1 п п31 2nn

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Q: Given the equation 12x2 + 15y2 = 1 Name the curve that is the graph of the equation. Find the foci, ...

A: Given : Equation 12x2 + 15y2 = 1   To find : Name of the given curve, Coordinates of  Foci, Coord...

Q: 2 (3) Use Newton's method to estimate the solution to e = x +1 Use r = 1 for your initial guess, and...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Given the function f()- ge -bx, which of the following is true so the function is decreasing at any ...

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Q: Do the following. (a) Estimate the area under the graph of f(x) = Vx from x = 0 to x = 4 using four ...

A: To find the area using right and left endpoints. 

Q: The function f(x) = 3 +9x + 36x has one local minimum and one local maxir This function has a local ...

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Q: Suppose й 3D (-2, -3, -3), ѣ %3D (-5, -2, -3) and W %3 (0, 0, —5). Then: u • v= и • W= v• w= U• v= u...

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Q: The foci of an ellipse are (6,0) and (-6,0), and the vertices are (7,0) and (-7,0). Find an equation...

A: Given that: Foci of ellipse: (6, 0) and (-6, 0)Vertices are: (7, 0) and (-7, 0)

Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what...

A: We need to find relation between f and g.

Q: For the given cost function C(x) = 72900 + 500x + x² find: a) The cost at the production level 1700 ...

A: Answering last two as first three already been answered. Given query is to find production level for...

Q: My friend was helping me with this question. He goes from Absolute value of 3 and just changed it to...

A: We have to solve the problem

Q: Find cxdy + ydx, where C is the arc of the curve y = e* for 0 <x< 2. Submit Question

A: Given that:∫Cxdy+ydx, C is the arc of the curve y=ex for 0≤x≤2

Q: Set up an integral for the volume of the solid obtained by rotating the region bounded by the given ...

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Q: Differentiate the function eln4x + eln4y = 1 implicitly.

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Q: The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking s...

A: Given: The path of a satellite orbiting the earth causes the satellite to pass directly over two tra...

Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

A: Here we have to find the particular solution of the differential equation.    f'(s) = 14s - 4s3  , f...

Q: (D² – 3D – 4)y = 0 is ° y = C,e** + C,e* " y = C,e** + C,e* 4х 4x -X -4x ° y = C,e** + C,e* y = C,e*...

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