Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = 4xyi + 5yzj + 2x zk through the sphere S of radius 4 centered at the origin and oriented outward.

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A: We need to find magnitude and sum.

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A: We need to solve D.E.

Q: Question: 3.3327x10^-10 m to nm

A: Solution: Given data, 3.3327 × 10-10 m

Q: Question -10 Considering the interval (-4,1), does the Mean Value Theorem for integrals hold for…

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Q: Question Given the point (6, form. 70 in polar coordinates, find the rectangular coordinates of the…

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Q: Determine whether the series is convergent or divergent. co n = 2 O convergent Odivergent 9 n In(n)

A: To determine whether the series is convergent or divergent. ∑n=2∞ 9n lnn

Q: ).  Find the Taylor series at a =  ? 2 for f(x) = 4 cos(x). ∞       n = 0   please hsow step by…

A: Taylor series

Q: Sales of the Average sales = Submit Answer 672 arning Calculus tutorial software packages are…

A: Given f( t ) =  t2t3 + 6 as we know that average of f( t ) = ∫t1t2f( t )dtgiven t1 = 3  &  t2 =…

Q: A silver dollar is dropped from the top of a building that is 1331 feet tall. Use the position…

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Q: Description of image (in case it has trouble loading): A right triangle has acute angles a and B.…

A: As we know that tanα = perpendicular base

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A: Let's find distance of objects travel from t=0 to t=45.

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: Write as a sum of three terms  x^3+xy+y^3 x^2 (That's supposed to represent a fraction)

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Q: 9. Find the area of the lateral surface of the cone of radius 4, height 9, obtained by reloving the…

A: To find the lateral surface area of the cone of radius 4, height 9, obtained by revolving the curve…

Q: Evaluate. Be sure to check by differentiating. f. X 10 10 +9 +9 f. dx=0 (Type an exact answer. Use…

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Q: Evaluate lim x-4 3 cos(x) 2x 1. limit 2. limit 4. limit = 318 3. limit doesn't exist 3 cos(4) 16 6.…

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Q: P3 Find the Maclaurin expansion for the following functions and indicate for which values of a it…

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Q: Solve the given LDE using the method of variation of parameters. D²+1|y=cscx

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Q: (Exam 4 Review 26) Consider the following solution to the problem of finding the total area bounded…

A: Consider following solution to the problem of finding the total area bounded by the graph of y=cosx…

Q: Ify = Σo(k + 1)xk+3 then y' = Σ ο

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Q: Determine lim x40 3 x² + 3x - ²)

A: According to question,Given Limit,limx→0 3x2 +3x -1x

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given: Dx=x-92 Sx=x2+2x+21

Q: open interval(s) on which the function is increasing and decreasing. b. Identify the function's…

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Q: Evaluate the surface integral positive (outward) orientation. -18 JSF F. ds for the given vector…

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Q: 6. The Statuary Hall in the Capitol Building in Washington, D.C. is a whispering chamber. Its…

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Q: 2y y² dxdy Evaluate SS2¹ 4y²+x² O π/12 O π/16 O π/2 O π/6

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Q: Use the Fundamental Theorem to evaluate the definite integral exactly. 1," 16 5 Enter the exact…

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Q: Use the properties of limits to compute the following limit exactly lim [(x-3)³ (5x+1)²]

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Q: Which of the following conditions will make the equation equation of a sphere in xyz-space Oa>b>c…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Given function represents the position function of the projectile.

Q: Using the binomial theorem to find the 4th term of √x + 2

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Q: Evaluate. (Be sure to check by differentiating!) [(In x)² dx, x>0 In [(x)² dx=0 (Type an exact…

A: according to guide line we do only first part of multiple questions please re post other parts in…

Q: Find the average value of the function f(x)=x²-7 on [0,6]. The average value of the function…

A: Given f( x ) = x2 - 7 given interval = [ 0 , 6 ] Average value = ∫abf( x )dx

Q: show dx sin 3x tan 3x solution answer - Csc 3x 3 - + C

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Q: A company determines that its woekly online sales, S(t), in dollars, t weeks after online sales…

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Q: Use the Fundamental Theorem of Calculus to evalue the definite integral D= D= BSD 1 7 x100 NOTE: Use…

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Q: Determine an equation for the plane through the following points: (-5, -9, 3), (-8, -4, 7) and (-9,…

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Q: K Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 10.

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Q: A cone-shaped pile of sawdust has a base diameter of 20 feet, and is 6 feet tall. Find the volume of…

A: We can find the volume in the below steps.

Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

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Q: Consider the following. f(x) = In(x − 3) - 1 (a) What is the domain of f? (Enter your answer using…

A: this is question of function  here function is given we have to find the range and domain of…

Q: -10 -8 -6 -4 * * * 8 -10 Y 2 4 6 8 f 10 x

A: Option 1 Given parametric equation is x=t, y=2t Now y=2t⇒y=2x Graph of y=2x is as

Q: If f(x) = 2x³ + 8 x² + 3, at what points are f'(x) zero or does not exist ? A B (C) 1,0 0, 0, D 0, w…

A: Given query is to find the points where derivative is zero

Q: dR 22 dt 3 R(1) 56

A: To find the particular antiderivative of the following derivative that satisfies the given…

Q: M n=1 Find the radius of convergence and the interval of convergence for the following power series.…

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Q: 29) y = 2x + 1; [1, 3] 9+ 8+ 7+ 6- 5+ 4+ 3+ 2+ 1 A) 7.5 2 3 4 5 X B) 12.5 C) 5 D) 10

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Q: 16. A function s(t) represents the position of an object based on time t in seconds. Determine what…

A: Solution: Given data, Position of an object = s(t)

Q: Find the initial horizontal and vertical velocity for each situation. 1. a soccer ball kicked with…

A: To find the initial horizontal velocity and vertical velocity for the following situation.a soccer…