Find the arc length of the curve on the given interval. (Round your answer to three decimal places.) Parametric Equations Interval x = 6t + 5, y = 7 - 3t -1 ≤t≤3

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Q: Determine the point (x, y) on the unit circle associated with the following real numbers. Write the…

A: We are required to: Determine the point (x,y) on the unit circle associated with the angles=7π4.

Q: x²-16 3 A) -4 and 4 and- 2 C) -4 and 4 B) 4 D) Nonede D) a 10)

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Q: A model used for the yield Y of a crop as a function of soil nitrogen level N is Y =N/1+9N^2 where N…

A: Y is yield of a crop. N is the soil nitrogen level. Y = N1+9N2N≥0   We have to find the maximum and…

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A: Given data v=-4,  4 find- 2.5v

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A: Given: parabola with vertex (3,3) and passes through point (1,1) To find: Equation of parabola

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Q: Find all the rational zeros of the function. x² 18x² + 108x - 216

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Q: Find the length of the curve over the given interval. r = 49 sin(8), [0, π]

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: Given: y=4+3x We are required to find: An inner function u=g(x) and an outer function y=f(u) such…

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Q: Use the Maclaurin series sin æ = Σ(-1)"- n=0 1² st t Find the first three terms of the Maclaurin…

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Q: Q.6// Approve that the following differential equation is exact and solve it: (x+sin y)dx + (x…

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Q: Given the vector u equal to 6 (cos 205°, sin 205°) and vector v equal to 5 (cos 120°, sin 120°),…

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Q: 10 Convert the polar equation r = 5+4 sin 0 Select the equation of its directrix from among the…

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Q: An √n²-1-√√n²+n

A: an=1n2-1-n2+n

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Q: Find all real solutions of the equation by first factoring the left hand side and then taking a…

A: x2+10x+25=25⇒x2+10x+25-25=0⇒x2+10x=0

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Q: 1 ex+e-x dx

A: we have given integration ∫1ex+e-xdx

Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 ≤ t ≤ 1. Use…

A: c( t ) = { x( t ) , y( t ) } is given as A = ∫t1t22πy( dxdt )2 + ( dydt )2dt Surface are of cone…

Q: Let f(x) = (x + 1)e²x. 1. Find the local linear approximation of f at xo = 0. 2. Use your answer…

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Q: Approximate the area above the line y=0.5 and bounded by the Curve y=Sinx Using Simpson's Rule

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Q: The cost (in pesos) of producing x toys is given by x² + 100x + 2000, while the price (in pesos) of…

A: The cost in pesos of producing x toys is given by x2+100x+2000, while the…

Q: 1 x + 3 f(x) = a = 0 ‚

A: We have to find the Taylor polynomial of order 3 generated by f(x) at a, where f(x)=1x+3, a=0.…