Find the centroid of the region lying between the graphs of the functions y = 7 sin æ and y = 7 cos œ over the interval [0,7].

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Q: 5 Se e¹ dt -2

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Q: 1. Given the diagram below, determine the angle made by the diagonals AD and BC.

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L{f(t)}…

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Q: Find the radius and interval of convergency of the power series W! (-1)" (2x - 1)" n5n

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Q: The figure above shows a right triangle with dimensions in inches. If θ=59∘, what is the length of x…

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Q: 5. If F = [5, - 5] ands = [-5, 5], find work done by the force over displacement s O a) 50 b) O c)…

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Q: We are standing on the top of a 720 feet tall building and launch a small object upward. The…

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Q: Find the indicated derivative. If y = x6x¹/2, find d²y dx² d²y dx²

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Q: 1. Given the diagram below, determine the angle made by the diagonals AD and BC.

A: The solution is shown in step-2

Q: I The curvey = tan x crosses the line y = 10x at a non-zero x-value between x = 0 and x = . Use…

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Q: f(x) = 5xe² -2 -2 -1 -2 1 Find the area of the region bounded by the graph of the function f and the…

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Q: Find the equation of the circle shown. -3-2-1-1 -2 -3A -5 t6 -8 9 10 12 3 4 5 6 7 8 a

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Q: The Map As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: If $3,000 is invested at 7% compounded continuously, what will be the accumulated amount after 8…

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Q: (a) f (x) = sin x at a = ia

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 7. Evaluate DETAILS LARCALC11 15.7.504.XP. curl F.N N dS where S is the closed surface bounded by…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. vertices:…

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Q: Use the graph of the given function f to determine the following limits. If a limit does not exist,…

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Q: The graph of the derivative of y=f(x) is shown. Find the locations of all relative extrema of f(x).…

A: Note that the critical points are those points where relative minima or relative maxima occur and…

Q: evaluate the following 3 Sim хусо х X b) lim e^ е X7-00 C) Sim x3 X700 3x+1

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Q: For the following problems, consider a lifeguard at a circular pool with diameter 40 m. He must…

A: We have to find function that measures the total amount of time it takes to reach the drowning…

Q: Consider the differential y" - 2y' + 37y = 0; ex cos(6x), ex sin(6x), (-∞0, ∞0). Verify that the…

A: NOTE: Refresh your page if you can't see any equations..The given DE is,Check the first…

Q: Given that sin(θ)=1719, and θ is in Quadrant II, what is cos(2θ)? Give an exact answer in the form…

A: sin(θ)=17/19, and θ is in Quadrant II, what is cos(2θ)?

Q: 11. Use multiplication or division of power series to find the sum of the first three nonzero terms…

A: a)

Q: Find the exact value using a double-angle identity. sin (300°) C 0 00 C C -√√3 √√√3 2

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Q: f(t) 10 5 + 6e-2t

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Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

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Q: 21.24 The functions below are given. Which out of them are solutions for the differential equation…

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Q: Find the minimum and maximum values of the function f(x, y, z) = 3x +2y + 4z subject to the…

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Q: Sketch the graphs of the functions. f(x) = x³+x² - 6x and g(x) = 0 O 2 4 6 8 X + # 8 -6 -4 4 X Find…

A: Solution is given below.

Q: d²y 4. 9 +30. + 25y = 0; when x = 0, y =0 and = 2 dy dx dy dx² dx

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Q: A child runs 50 m from a slide on a playground to a lemonade stand which is on a bearing of 120°.…

A: Bearing of lemonade = 120°Bearing of ice cream stand = 170°Length b/w slide and lemonade stand =…

Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Find T, N, and x for the space curve r(t)= 18 15 gi+ 5j, t> 0. 8 T(t) =i+ 0; (Type exact answers,…

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Q: So, to find a critical point, you would use f(x) and not f'(x)?

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Q: Determine the exact volume of the solid created by rotating the region bounded by y = 2³, y = 64,…

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Q: A motorboat take 3 take to travel 144 kilometers going upstream. The return trip takes 2 hours going…

A: The solution is shown in step-2

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of sides and measures of…

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Q: Let y = Ա 4 + DIS 5 Ա and u = x³ = x³ - 2x.

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Q: 4. Suppose is divergent. What can you say about an? Choose all that apply. □ If lim П-00 Dr a n→∞ If…

A: are positive term series and is divergent.

Q: Balwyn High School is planning to establish a Balwyn Island Theme Park. One of the attractions will…

A: Using concepts of limit and continuity, we can solve the question.

Q: Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its…

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Q: = 8. Find the equations of both the tangent lines to the hyperbola x² - 4y² 9 that pass through the…

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Q: How many complete outfits can Alicia wear if she has four shirts, nine pants, four purses, five…

A: To calculate the number of complete outfits Alicia can wear, we need to consider that an outfit…

Q: Confirm that the Integral Test can be applied to the series. n = 1 2 3n + 7 Evaluate the following.…

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Q: What is the amplitude and period of the function f(x)=16cos(6x)?

A: the given function is f(x)=16cos(6x)

Q: Sketch the graphs of the functions f and g. f(x) = e, g(x)= O -10 -10 -5 -5 - y 10- y 5 101 5 -10- X…

A: Using integration, we can find the required area.NoteAccording to our guidelines, we can answer only…