Find the divergence of the field. F=3zexyzi + 3zexyzj + 3yexyzk div F =

Q: Find all local extrema for the function f(x,y)= -6x² - 7xy-3y² -34x-16y +8. Select the correct…

A: Partial differentiation

Q: 3. Solve the following initial value problems, (a) y' + 2y = 0, y(ln 5) = 3

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Q: Find the derivative of: y=sqrt of 3x + sqrt of 2 + sqrt of 1-x

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

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Q: Let CCR² be the circle with radius 5 centered at the origin. Let F: R² R² be the vector field…

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Q: Use sigma notation to write the following Riemann sum. Then, evaluate the Riemann sum using formulas…

A: By using sigma notation to write the following Riemann sum. Then, to evaluate  the Riemann sum by…

Q: Question 15 Use the shell method to find the volume of the solid generated by revolving the region…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: a(x,y) a(u,v) b. Find the image under the transformation u = 3x + 2y, v = x + 3y of the triangular…

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Q: Find the intersection. 4x - 8y = 1,8y + 6z = 5 5 x = -48t + 18t+ , y = -24t+ .z- 3 2 8,²=32 3 5 x =…

A: The system of equations is 4x-8y=18y+6z=5

Q: Find the general solution of the LINEAR differential equation.; y' - y t+2 Make an attempt to find…

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

A: Dx=-5x6+11Sx=12x+3

Q: Determine the absolute maximum value of f(x) = sin(x) - cos²(x) =

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Q: The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata,…

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Q: Oil leaks out of a tanker at a rate of r(t) gallons per minute, where t is in minutes. Which of the…

A: Oil leaks from a tank at a rate of r(t) gallons per minute where t is in minutes To find: Which of…

Q: X-V = 2x²+x-6 f(x, y) =

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Q: 3. The cost (in dollars) of producing x units of a certain commodity is C(x) = 100+50x-0.02x² (a)…

A: “Since you have posted multiple questions with multiple sub-parts, we will provide the solution only…

Q: b. Find the MacLaurin polynomial of degree n for f(x) = x+1

A: Maclaurin and Taylor theorem.

Q: Find the location of all absolute extrema for the functions defined as follows, with the specified…

A: Consider the given function. fx=1-x3+x

Q: Sand falls from a conveyor belt at a rate of 14 m³/min onto the top of a conical pile. The height of…

A: We need to find rate of change for both radius and height.

Q: Find an equation of the line, 1(t), containing the points (1, 3, 1), (2, -3,2), and (5, 7,2). (Write…

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Q: (a) (b) 5 ( ² / +77) X lim(√4x²+x-2x) limcos x →∞

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Estimate the area between the curves y=1.5x and y=0.75x^2. Use a graphing calculator. Answer:

A: We have to estimate the area between curves.

Q: For each of the following functions, First compute the gradient function, and plot it at several…

A: As per guidelines we can solve only first question if multiple questions are posted. Please repost…

Q: Find the first four nonzero terms in a power series expansion about x=0 for the solution to the…

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Q: v(t) = a(t) = Velocity and Acceleration A brick becomes dislodged from the top of a building (at a…

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Q: Find the curvature of the curve r(t) = (3t, - 3t³, 2+¹) at the point t = 1. Give your answer to 2…

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Q: Find the linear approximation of the function at the given point. f(x, y) = 10x2-4y2 +8 at (5,6)…

A: fx,y=10x2-4y2+8 To find the linear approximation of the function at the given point at (5,6)

Q: 2 S.S.x'y dydx x²y³ 0 0

A: ∫01∫02x2y3dydx

Q: If the graph of f is shown above, what is the value of the following integral?

A: NOTE: Refresh your page if you can't see any equations. . here the graph of the function f(x) is…

Q: Suppose z = x² sin y, x = -4s² + t², y = -2st. A. Use the chain rule to find and as functions of x,…

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Q: A mouse moves right and left in a straight tunnel. The mouse's velocity v(t) (in centimeters per…

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Q: S(x+5)-1/2³/z+5

A: we have given ∫x+5-12ex+52dx

Q: 2. Evaluate: f (x+1)dx x²+4x+10

A: Consider the integration. ∫x+1x2+4x+10dx

Q: express the equation in logarithmic form: a) ex = 4 is equivalent to In A = B. Then A = B = b) es C…

A: a) ex=4b) e5=x

Q: Find the curvature of the curve r(t) = (-2t, - 4t4, 4t²) at the point t = 1. Give your answer to 2…

A: You have asked multiple question, we will solve the first question for you. The rest can be asked as…

Q: A graph of f is shown above. Estimate the following integral. When x=2 to 18  f(x)dx

A: A graph of the function fx is given. We have to find the value of ∫218f(x)dx.

Q: Find the length of the curve r(t) = for 0 ≤ t ≤ 2π Enter the exact value. Question Help: Video…

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Q: the following steps for the given function, interval, and value of n. a. Sketch the graph of the…

A: Option C

Q: 11. For the following initial value problem, compute the first four approximations U₁, U₂, U3, U4…

A: The solution is shown in step-2

Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. Σ…

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Q: notation and show all of your 1. Graph the function where: (a) Continuous and differentiable for all…

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Q: A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter. How…

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Q: Consider the followin gdifferential equation: y + 2 t+1 dy dt Find the general solutions and the…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Q6. Using u = dy, the second order ODE: ²-yd = 2(x) dx dx is reduced to the following first order…

A: The second order ODE  (d²y/dx²)-y(dy/dx)=2(dy/dx)³

Q: Consider the following. (If an answer does not exist, enter DNE.) C(x) = x¹/²(x + 8) (a) Find the…

A: Consider the function.  C(x)=x1/7(x+8)

Q: 2-1 or of this series.

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Q: Consider the integral 10 √₁0 (x²+1) dx (a) Estimate the area under the curve using a right-hand sum…

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Q: Use the Fundamental Theorem of Calculus to find the derivative of F'(x) = 16 F(x) = 6 tan(1²)dt X…

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Q: apply the Limit Comparison Test to determine whether the given series converges or diverges. 2n 3n+1…

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