Compute the flux of the vector field F = xỉ + y) + zk through the surface S, which is a closed cylinder of radius 2, centered on the x-axis, with −5 ≤ x ≤ 5, and oriented outward. flux =

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A: y= -e-4x/4

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: use derivative and critical points for absolute maxima/absolute minima

Q: This answer is incorrect. Can you try again?

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: 44. Simplify: cos 40° cos 30° + sin 40° sin 30° 45. Simplify: cos 50° cos 20° + sin 50° sin 20⁰

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Q: -8 2 So Se dy dx

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A: We need to find equation of curve.

Q: The per capita growth rate of many species varies temporally for a variety of reasons, including…

A: Given that , Habitat destruction is modeled as n'=e-tn with n(0)=n0

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A: According to question,Given data,a = 6 miles,x = 10 miles,Speed of the plane = 400 miles per hour.

Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given query is to find the slope and the equation of the tangent.

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

A: The given differential equation D2+2D6+7D5+14D4+8D3+16D2-16D-32y=0. We have to find the general…

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Q: sin(2x) x y = if x = л, dx = 0.25 find the differential. Round your answer to three decimal places.

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: Use Calculus to find the behavior of g. g(x) = x³ - 3x²is restricted to the interval.x € [-1,4] 19.…

A: Note: Since, the student has mentioned to solve question no. (21), so we are solving according to…

Q: What is the Remainder R, when ƒ(x) = is divided by (x + 1)? 20 16 22 30 30 4x³ + x² - 3x + 2 3 =…

A: To find the remainder

Q: Find f(-1) + f(4), given the function: 14 11 04 13 x² + 1, if x 1

A: Topic = Functions

Q: Evaluate sin 5x cos 4x dx

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

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Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).

Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

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Q: The general solution of y" + 6y +10y = 39 cos(t) is y=e-³t [C, cos(t) + C, sin(t)] + 2t cos(t) + 3t…

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Q: 6- The first term of a geometric sequence is 24 and the third term is 6, find the fourth term and an…

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Q: 4 Suppose that f(x, y) = 2x² + 2y¹ − 1xy Then the minimum is

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Q: Find y(t) solution of the initial value problem ty' - y + 5t² cos(3t) = 0, None of the options…

A: We need to solve D.E.

Q: 4. Consider a box B = [0, 2] × [π/3, π] × [0,5] and find 5. Compute the following integral: 111₂ x…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

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Q: Find dy/dx. x=tsin(t), y = t² + 5t

A: SOLUTION-

Q: The velocity (in meters/sec) of a particle moving along a straight line is given by v (t) =2 t^2 + 1…

A: Given velocity function:- vt=2t2+t+2

Q: 9. What is the slope of the normal to a. -3 y = x²-1 x+5 at (1, 0)? Show your work. C.

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Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: Lim CSC X xox-² (ex-1) -2

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Q: 6) Show that (2xy, 2yz + is conservative.

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Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

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

Q: 9) The sequence a₁ = a) Diverges b) Convergest c) Converges to 15 2 d) None of the above 4n²+1

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Q: Determine the solution of the following differential equations. a) (D² +9) y = 81x² + 14cos3x

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Q: A force of 6 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. How…

A: Given that, Force required = 6 pounds to hold spring streched 0.6 feet beyond its natural length. To…

Q: Given the non-homogeneous differential equation y "- 4y + 4y=e²x What is its auxiliary equation? 0…

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Q: Does the series converge conditionally ot absolutely

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Q: Find the indicated sum. 4 Σi(i+5) i=1 4 Σ i(i+5)= (Simplify your answer.) i=1

A: S=∑i(i+5)i=14

Q: 5. Determine the value of k for which f(x) = 4x² - kx + 6 has a horizontal t

A: Given: f(x) = 4x2 - kx + 6 The slope of horizontal tangent is equal to 0.