Evaluate (3x +2y)dx + (2x - y)dy, where C is the curve x = y³ from (0,0), to (1,1)

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Q: Let F = (4xyz + 7 sinx, 2x², 2x²y). Find a function f so that F = Vf, and f(0,0,0) = 0.

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A: Studies have shown that the number of accidents a driver has varies withthe age of the driver, and…

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A: We have to find the center of gravity for the given triangular lamina.First let us draw a diagram.

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Q: The marginal cost of printing a poster when x posters have been printed is The cost of printing…

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Q: Evaluate the limit by expressing the functions involved as a Taylor Series. 1- - cost - (t²/2) 14…

A: given limit

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A: The given series .The aim is to check the convergence of the series.

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Q: K Find T, N, and k for the plane curve r(t) = (4t+ 3)i + (3-14) j T(t)= i + i (Type exact answers,…

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Q: Find the derivative of y with respect to x. y = In (5x)

A: given         y=  apply differentiation with respect x

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Q: Evaluate the following limits. If needed, enter int lim √9+4x2 2+6x x →∞ lim <X √9+4x2 2+6x Mention…

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Q: Find the areas bounded by the indicated curves y = 8-2x^2, y=0 Show step by step solution and…

A: given the curves y = 8-2x^2, y=0To find: area between these curves

Q: Suppose that in a memory experiment the rate of memorizing is given by M' (t) = -0.009t² +0.6t where…

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Q: Evaluate the following limits. If needed, enter inf for X and -inf for If entering decimals…

A: The given limits  and The aim is to calculate the given limits.

Q: Find the derivative of the function y = (4x + 3) (3x + 4)-4. 기 dx ||

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Q: Solve part D

A: We will be using parts b and c to solve for part d.

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

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Q: 3. (a) The region in Figure 8.35 is rotated around the y- axis. Using the strip shown, write an…

A: We have to write an integral for volume and evaluate it.

Q: Suppose the daily supply equation for noise cancelling wireless headphones is given by P = S(x) = 70…

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Q: Answer the following questions about the function whose derivative is f'(x) = x(x-3). a. What are…

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Q: Observe the equation below: x"+9x'+6x+7=0 The above is a second order ODE into a 1st order system…

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Q: Find curl(F x G) = V × (F × G). F(x, y, z) = i + 8xj + 4yk G(x, y, z) = xi - yj + zk

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Q: (c)xn 2n n!

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Q: Use the Alternating Series Test, if applicable, to determine the convergence or diverg (-1)^n n²-2…

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Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

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Q: The average cost for a company to produce x units of a product is given by the function A(x)=…

A: The given average cost function is The objective is to find the change in average cost as production…

Q: Determine whether the sequence converges or diverges. 1 1 1 1 1 {글··········}

A: {12,1,13,12,14,13,15,14,…}

Q: The value, V, of a Tiffany lamp, worth $225 in 1975, increases at 15% per year. Its value in dollars…

A: We need to find the average value for the given period.

Q: -3 f(x) 10 f'(x) -5 g(x) -2 10 X -3≤x≤-2 positive negative negative positive -2 0 -3 -2 0 The…

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Q: dc The marginal cost of printing a poster when x posters have been printed is dx The cost of…

A: Given, the marginal cost is…

Q: 1. Find div F and curl F if F(x, y, z) = 8e™ i − 10 cos y j + 10 sin² z k. div F= curl F=

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Q: ㅠ (3, 77, 7) 24 coordinates. Give answers as decimals to at least one Convert the point (p, 0, 6) =…

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Q: Find the equation for the plane through the point Po= (8,3,3) and normal to the vector n = 5i…

A: Given that the plane passes through a point  and normal vector

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Q: Show that the line integral is independent of path. Jo 2xe-Ydx + (2y = x²e-⁄)dy, C is any path from…

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Q: The average value of the function f(x)=x²-19 on [0,9] is

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Q: Evaluate √+dA, where D is the domain in Figure 4 -R₂ D FIGURE 4 R₁ F: x² + y² = 196 G: (x-7)² + y² =…

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Q: 4. Evaluate the following indefinite integrals. When you get an answer, you do not need to simplify…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Test the series for convergence or divergence. Σ(...)" O convergent O divergent

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Q: 2. A particle moves in a straight line and has acceleration given by a(t) = cost + sin f. Its…

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. cos(x) Σ…

A: By using a Maclaurin series to obtain the Maclaurin series for the given function.

Q: (d)Σ, o -0 (-1)" n

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Q: Test the series for convergence or divergence using the Alternating Series Test. DO Σ (-1)" 9n - 5…

A: Alternating Series Test∑n=1∞(−1)nan and ∑n=1∞(−1)n+1an Converge when the three conditions listed…

Q: Understand Properties of the Cross Product Given u x = (-4,-3, 4), find (u - 5v) × (ū+3v).

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Q: n=o entl

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Q: Evaluate a rational limit using algebra Evaluate giving your answer in exact form. 4x4 x5 lim 24…

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