Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. fe dx + (siny - 3x²) dy,

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Q: Evaluate the following limits. If needed, enter inf for X and -inf for -. lim XX lim X→ ∞ 3+3x 4-10x…

A: Here we have to evaluate the given limits.

Q: Which of the following are linear combinations of v1 = (1, -2,2) v2 = (3, -5,7) O a. (24, -39, 51) O…

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Q: Suppose that the total cost function, in dollars, for the production of x units of a product is…

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Q: 14. Suppose a stone is thrown vertically upward from a cliff in Oregon, with an initial velocity of…

A: The given height function is when it hits the ground then s(t)=0

Q: (a) Use differentiation to find a power series representation for f(x) = 1 (3 + x)²

A: f(x)=1(3+x)2

Q: Suppose that the demand for x units of a product is x = 13,000 130p where p dollars is the price per…

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Q: Solve cos(50) = Enter √2 for in the interval [0, 2π) for the first four solutions only. 2 your…

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Q: 20. Σ - (2x – 1)" 5" π

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Q: 10. f(x) 3 a x

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Q: Evaluate the following limits. If needed, enter inf for -and -inf for - 6x³3x²-5x A/ 6-7x-2x³ lim X…

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Q: Show that the lines L₁ : x = 1-t, y = 2t, z = 2 + t and L₂: x = 1 + 4t, y = 3-8t, z = 5- 4t are…

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Q: sst. Let f(x, y, z) = x³ yª + zª and x = s5, y = st³, and z = s

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Q: Solve √2 2 sin (20) for in the interval [0, 27). Enter your anwers in exact form and in ascending…

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Q: Given that the directional derivative of f at the point (9,-8, 1) in the direction of a = 3i-2j-6k…

A: given f(x,y,z) at the point (9,-8,1) in the direction of a=<3,-2,-6> is -2 and that

Q: Determine if the series is divergent or convergent 5/4 using P-series test n=1 4n n²

A: To determine whether the following series is divergent or convergentby using p-series test.

Q: Find the directional derivative of f(x, y, z) = xy + z³ at the point P = (6, -3, -1) in the…

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Q: 1. 21 dx X

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Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

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Q: Find the points on the curve where the tangent line is vertical and horizontal

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Q: dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

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Q: a. Use the formula к(t): = k(t): = ||r' (t) x r"(t)|| ||r' (t)||³ r(t) = e¹¹ti + e-tj to find k(t).

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only the…

Q: Let A={1,2,3,5,9}, B={0,6,7,8,10}. Determine (A∖B)∪(B∖A)

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

Q: f(x) centered at the given value of a. [Assume that f 9 s of convergence R.

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Q: 44,000 C X + 300 + x where x is the number of units produced per month. The firm can sell its…

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Q: Given the graph of y = f(x) in the figure, determine the following. I נם A נם y = f(x) B ty M F GH I…

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Q: Solve 1 2 cos(20) for in the interval [0, 2r). Enter your anwers in exact form and in ascending…

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

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Q: TJ Technologies Ltd. is developing a new computer chip. Through market analysis, it is determined…

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Q: b) Solve the following equations: i) 2 sin(0)-1=0 for 0≤0 ≤3

A: The given equation is"Note as per the rules, we are supposed to answer the first question, and the…

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: Evaluate the integral. (Remember the constant of integration. Remember to use absolute values where…

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Q: Draw a graph to match the description given. g(x) has a negative derivative over (-∞,5) and a…

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Q: Use a power series to approximate the definite integral, I, to six decimal places. ro.2 x³ 6.0.² Jo…

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Q: A rectangle initially has dimensions 6 cm by 8 cm. All sides begin increasing in length at a rate of…

A: let A, b and h be the area, base and height of the rectangle

Q: The plane passes through the points (4, 3, 1) and (4, 1, -6)

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Q: Mat-380   Your Turn 24" on p.358 of Mathematics for the Secondary Teacher. mat-380 Your Turn 24.…

A: A quadratic equation is of the form that may have real roots or complex roots.Here,  are…

Q: A bacteria population starts with 400 bacteria and grows at a rate of r(t) = (450.268)e(1.12567t)…

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Q: [T] An alternating current for outlets in a home has voltage given by the function V(t) =…

A: The period of the function  is .

Q: 10. Σ n"x" Σ

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

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Q: The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential…

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Q: The local maximum of the graph below on the interval [-1,2] happens at the point where x = -1: PA -3…

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Q: # 42.) A watermelon has an ellipsoidal shape with major axis 30 cms in length, minor axis of 24 cms,…

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Q: A linear function f(x, y)= ax + by+ chas no critical points. Therefore, the global minimum and…

A: Given A linear function has no critical points Global maximum and minimum values occurs at vertex of…

Q: = cos(8/3), 8 = π

A: The given equation is As we know

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

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Q: 116 55° X- 38°

A: To solve for .(1) (2)

Q: Consider the following function and its graph. 3(x + 1)³(x + 9) (x - 5)²(x+4)² f(x) = (b) -10 (c)…

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Q: A model for the basal metabolism rate, in kcal/h, of a young man is given by R(t)=85-0.18 cos nt 12…

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