Stokes theorem to evaluate Sscurl(E).ds F.dr 3. Use ie fund &pt C S is the and S is F S where E = S land C is the triangle with vertices (1,0,0), (0,1,0) when viewed from and (0,0,1) onented counterclockwise above.

Q: 3. Given that lim et-1 7+2te-2t-7et |] [h(t)]] = [h(t)]]=> use the Rules of Limits and 28…

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Q: Use the graph of g in the figure to do the following. a. Find the values of x in (-2,4) at which g…

A: From the given graph, It is clear that,  graph is not continuous at x = 3.Also function is not…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

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Q: Find a plane through the points (1,-4, 1), (-5,3,-4), (-3,2,6)

A: Step 1:      Step 2: Step 3: Step 4:

Q: 13 Determine the vector, parametric, and Cartesian forms of the equation of the plane containing the…

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Q: Use the quadratic formula to solve the equation. 2m² + 10m+2=0 -5±√√21 ○ A. 2 -5±√21 ○ B. 4 -5±√29 ○…

A: The objective of this question is to solve the quadratic equation 2m² + 10m + 2 = 0 using the…

Q: Let f (x) = |x|. The mean value of f on the interval [-2, 2] is

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Q: a. 7 = (3, 1) + (-3, 5), te R b. x = -6 + 2s and y = 3 - 2s, se R Two lines L₁ = (5, 3) + p(-4, 7),…

A: The given lines are:L1​:  r=⟨5,3⟩+p⟨−4,7⟩,    p∈RL2​:  r=⟨5,3⟩+q⟨2,1⟩,    q∈R Both lines intersect…

Q: Calculate and simplify the wedge product A. = 3dx1 ^ dx 2 + 9dx₁ / dx4, =-9dx2 dx3 + 5dx3 ^ dx4. ΦΛΕ…

A: f=(3.dx.1Λdx.2+9.dx.1Λdx.4)g=−9.dx2Λdx.3+5dx3Λdx4Now wedge product…

Q: n=1 8n +2n gn

A: Step 1: State the given summation: ∑n=1∞​9n8n+2n​ Step 2: Expand the summation:…

Q: Practice

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: Step 1:​an​=2n35+27arctan(n)​​Step…

Q: Suppose we have the following scenario: Multiplier: 1.6 Tax Rate: 20% Increase in spending: $200…

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Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: Step 1: Write the given Marginal Cost FunctionC′(x)=−0.025x+7.75 Step 2: Integrate the given…

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Q: and L Determine the angle that the line with equation = (4, -5), te R, makes with the x-axis and…

A: To determine the angle that the line with equation,r=t(4,−5),where t∈R makes with the x-axis and…

Q: solve and replace in the equations

A: Step 1: Step 2: Step 3: Step 4:

Q: Practice

A: Step 1: Step 2: Step 3: Step 4:

Q: The distance between cities A and B on a map is 12.5 in. The distance from city B to city C, is 8.75…

A: The bearing of A to B is N76∘E. First, let us find the interior angle A using the Law of Cosines.…

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Q: 3e2+2 sin x is a solution of the initial value problem 1. Show that y = y-2y=2 cos x - 4 sin x, with…

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Q: Use the square root method to solve the equation. y²-12=0 ○ A. 6 OB. ±2√3 OC. 2√3 OD. 144 K

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Q: Use the Change of Variables Formula to evaluate the definite integral. 2 10 ln x -dx x (Use symbolic…

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Q: Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = X (6x-7)6 f'(x)=…

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Q: ind the absolute maximum and minimum values of the function over the indicated interval. f(x) =…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

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Q: Why do we use long division? Can I not split the denominator into (x+3)(X-3)?

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Q: Can I get the answers for this math question

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Q: To test this series for convergence 3 n³ +4 n5 - 7 ∞ You could use the Limit Comparison Test,…

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Q: 4

A: Based on the problem we have   For concave down and concave up, function have f"(x) < 0 and f"(x)…

Q: A cup of coffee, cooling off in a room at temperature 23°C, has cooling constant k = 0.083 min ¹.…

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Q: 5

A: Step 1:​From the graph:g(−3)=3,g(−2)=2,g(−1)=−0.5g(0)=−2,g(1)=−2.5,g(2)=1,g(3)=3​Step 2:​(a) The…

Q: (d) 2n² +1 n=1 3+872

A: The objective of this question is to determine whether the given series converges or diverges. We…

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Q: Find the area of x²/³ + y²/³ = 1 using a line integral.

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Q: Using the attached theorms, Solve the following parts: a) dx/dt =7x-y , dy/dt=5x+3y  b)dx/dt =-x+3y…

A: (a) Given system of linear ODE's is in the following :dtdx​=7x−y,dtdy​=5x+3yStep 1: in matrix form…

Q: Find the volume of the solid in R3 bounded by y = x², x = y², z=x+y+9, and z = 0. V=

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Q: Determine if the vertex of the graph is a maximum point or a minimum point. g(x) = (x-4)²+1 ○…

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Q: Consider the differentiable function f(x) = ln x-x+8 on the closed interval 1 ≤x≤2.9. What is the…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

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Q: 22) Does the point D(7.-1, 8) lie on the line with symmetric equations - 4 2-69 *3=1+2=20? Explain.

A: To check if the point  D(7, -1, 8)  lies on the line with symmetric equations 3x−4​=1y+2​=2z−6​, we…

Q: 1 Find the absolute maximum and minimum, if either exists, for f(x) = x + —.

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Q: 1. (x + √y² + 1) dx · (y – H.W. solve the following D.E. xy - - √12241) dy = 0

A: Step 1: