Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 ≤ t ≤ 1. √((x-x) (y - x) dx + 5x2y2 dy

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A: 8) y=h(x)g =h(x)This transformation only affects y-value.A(-16, 4)y(x=-16)=4, g(x=-16)=4 =2A' (-16,…

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A: -2, 7π5=-2cos7π5, -2sin7π5π+2π5=7π5=2 cos2π5, 2cos2π5  [FIRST Quadrant]A)-2 cos3π5,…

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A: We will plug the values of a and b to do the analysis.

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A: A detailed solution is given below.

Q: 4) A degree 3 polynomial function, P(x) has zeros x 2, x = 1, x = m and a leading coefficient of 1.…

A: Here, the polynomial P(x) is of degree 3 and has three zeros x=2,1 &amp; m and the leading…

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Q: 7. Use Lagrange Multiplier to find the maximum and minimum values of the function f(x, y) = x²y…

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Q: A local event center hosts wedding receptions The event center charges a rental charge plus a charge…

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Q: where t € [0, 1]. x = cost, y = sint-t,

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Q: Question 1 of 8 - /5 View Policies Current Attempt in Progress Find the arc length of the parametric…

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Q: Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

A: Let's find.

Q: Current Attempt in Progress Evaluate the definite integral. e i + e='j+t k )dt

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A: This question can be solved using the concept of infinite geometric series.

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Q: WHAT IS -1- ?

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Q: Find the exact length of the curve. y2 = 64(x + 1)3,   0 ≤ x ≤ 1,  y > 0

A: Given,             y2=64x+13 , 0≤x≤1 , y&gt;0To find : Find the exact length of the curve.

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A: Given fx=10 ex on the interval 0,3 The formula to calculate the area under the graph y=g(x) on the…

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A: Volume

Q: 7. f(x) = x* - 4x³ +3x? +4x – 5 Domain: y Range: Rel. Maximum(s):. Rel. Minimum(s): End Behavior: As…

A: We have to find the graph, Domain, Range, relative maximum, relative minimum, End behaviour,…

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Q: 2 Find the transformed equation of the hyperbola xy = 4 when rotated 45. (x')² - (y')² = 8…

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Q: 1. Find the area bounded by a curve v? = 9 – x and the y – axis.

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

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A: Using limit comparision and p test.

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Q: Solve the linear differential equation dy 2y x2 dx 1+x2 x2 y = x? tan-1(x) + c y 1+ x2 =1+x² +…

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Q: The equation of a surface in cylindrical coordinates (r, 0, z) is z = r²cos(20). The equation of the…

A: Cylindrical Coordinates :       x= r cosθ  , y= r sinθ , z=z

Q: Evaluate (1 + i)(¹ - i). (1

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Q: 30 30 90 12 150 180 210 40 270 30 330 360 20 450

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Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: Given: v(t)=t3+6t2+11t+6