Find a formula a,, for the n-th term of the following sequence. Assume the series begins at n = 1. % 1 1' 1 1 8'27'

Q: 40. S™ cos t e sin 2t dt

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

Q: The pulley wheels are subjected to the loads shown. Determine the equivalent force-couple system at…

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Q: ƒ ( 1 ) = 1 ² 0 1²) find f' (2) (2 decimal places) Using the Product r

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Q: A bucket begins holding 10 kgs of sand. The bucket is to be lifted to the top of a 25 meter tall…

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Q: What is the approximate volume of the solid created when the region under the curve y = sint on the…

A: The solid created when the region under the curve :  y = sin(x) on the interval [0,π] is rotated…

Q: Question 8 What are the domain, range, and period of the function f(θ) = –3cos(–2θ)? Answer in…

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Q: Graph the function and then find the specified limits. If necessary, state that the limit does not…

A: To graph the function and then to find the specified limits. fx=4x-4 To find limx→1 fx and limx→-1…

Q: The monthly payment is = 52 Use the monthly payment formula to answer the question. Round your…

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Q: 8 3 + 8 2 + 18 3 3 + 8 3 +. ...

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Q: Evaluate the integral. S -21e - 25 e2x + 6ex + 5 -dx

A: To evaluate the following integral. ∫-21ex-25e2x+6ex+5 dx

Q: Let h = f o g where ƒ : R² → R and g : R² → R² is defined by g(x, y) = (–3x²y, y − 2x). Find the…

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Q: What is the polar form of the equation? (x+6)² + y² = 36 O² 12r cos 0 Or(r+ 12 cos 0) = 0 ○r (r + 12…

A: x+62 + y2 = 36

Q: Find the area of the surface generated by revolving the curves about the x = sin t, y = 1 + cos t, 0…

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Q: 6. Prove that x² dx b³ - a³ 3 3

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Q: 1. In three-space, find the intersection point of two lines ₁ = (–1,1,3) + t(1,2, −2) and r₂ =…

A: The given two lines are: r1→=(-1, 1, 3)+t(1, 2, -2)Andr2→=(5, 3, -3)+s(-2, 1, 1) where s, t∈ℝ

Q: List the points in the xy-plane, if any, at which the function z = 8 + √√(x − 6)² + (y + 7)² is not…

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Q: An investment worth $1 million in 2005 has been growing at a rate of f(t) 0.14(1.18) million dollars…

A: An investment worth $1 million in 2005 has been growing at a rate of ft=0.141.18t millions dollars…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: Given that a a functio f(x, y) = x2 +xy + y2 +2y. And we find local maximum value and local minimum…

Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: n f(x) = 7sin x-3?

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Q: Consider two linear equations in two unknowns: a11x1 + a12x2 = b₁ a21x1 + a22x2 = b₂ which can be…

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Q: Solve the following differential equations d²y d+2 +3. a) b) dy -54y= 0, y(0)=7,y'(0) = -2 dy -2x 2x…

A: The differential equation given is  a) d²y/dx²+3(dy/dx)-54y=0  y(0)=7, y'(0)=-2  "As per the rules,…

Q: Find the general solution. If an initial condition is given, find also the corresponding particular…

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Q: 9-12 Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: əz Find when u = 0, v = 2, if z = sin (xy) + x sin (y), x = 3u² + v², and y = 2uv. du

A: Use chain rules

Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

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Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 3x² - 10x + 243.…

A: The cost function is, C(x)=3x2-10x+243

Q: What is the exact value of cos(495°)? A B C D 3 2 √2 2 이 이뤄

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Q: What is the approximate volume of the solid created when the region under the curve y = cos z on the…

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Q: . Find the length of the segment indicated. Round to the nearest tenth if necessary. 49 7

A: To determine the value of x

Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloid x…

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Q: How many petals does the graph of the rose curve r=4sin(3θ) have? Enter your answer in the box

A: For the function, r=asinnθ    or    r=acosnθ If n is odd then there are n number of petals. If n is…

Q: Q5 Use the graphs below to fill in blank for Q(5.1)-Q(5.6). Write DNE" for Does Not Exist" or NEI"…

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Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: 9. Scy³ dx - x³ dy, C is the circle x² + y² = 4 10 (1 3) v21

A: ∫Cy3dx-x3dy ,C is the circle x2+y2=4

Q: 29. Evaluate z²zds, where S is the portion of cone 2² = x² + y² that lies between planes z = 1 and z…

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Q: x ¹ y ³ z ³ y ³ where r, the exponent of x, is: and s, the exponent of y, is: and finally t. the…

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Q: Compute the integral f/4 tan² (x) dx . 1 1 6/2 15 3 |4 性 4

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Q: Calculate the integral approximation Se for S6 || ← [₁4+² dz. S 0

A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

Q: The region R in the first quadrant is bounded by the coordinate axes, the curve y=e -5x The (exact)…

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Q: What is the area between the curves y = -²³ and O 10 -24

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Q: F. dr. For example, the in Sc F. dr where =tb (1)'4- ((1)) 16.2 EXERCISES 1-16 Evaluate the line…

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Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: Solve the following differential equations dy dr² dy -9x+24y=0, y(1)= 1,y(1) = 0 dx

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Q: Using the the derivative method power rule. How come the answer is 2t^-3? Instead of 2t^1?

A: Given: f=-1t2 We are required to find: The derivative of f

Q: Evaluate the integral. π/2 [" os⁹(x) sin5(x) dx

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)…

Q: В (9,-8)

A: We know that the vector= Terminal point -initial point

Q: 10. lim 1-0 e³1 - 1 t

A: We have to find the limit: limt→0e3t-1t