Evaluate f (5ydy + 3xydx) C if C is the closed curve determined by the x-axis, the parabola y = x² and the line x = 1.

Q: S sin(x) cos(cos(x)) dx

A: ∫cosxdx=sinx+clet cosx=t-sinxdx=dtsinxdx=-dt

Q: Find the area of the surface generated by revolving the curve x=t, y=4-2t [0,4] about the x-axis.

A: We will find the required.

Q: Let f(x, y) lim (x,y) →(0,0) (x,y) ES₁ O 3 2 3xy x² + y². f(x, y) = 0 3 O 6 5 = If S₁ is the set of…

A: Let f(x,y)=3xyx2+y2 If S1 is the set of points along the line y=2x Then we have to find the…

Q: Find the area of one petal of the graph r = 3 sin 40.

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the area of one…

Q: Point (-1, 0, 8) (a) Parametric equations (b) Symmetric equations 5 = y = 1²/144 0 x 1 = y O 5x = X…

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Q: Find the present value of an ordinary annuity with deposits of $11,788 each year for 9 years at 6.0%…

A: Topic = Algebra

Q: ᎾᏢ Ꮎp ( Ꮎ ) s00 f

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Q: 3. Find the surface area of the torus described parametrically as r(u, v) =((2 + cosu) cos v, (2 +…

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Q: 6 SⓇ t4 In (3t)dt 3

A: Given query is to find the integral.

Q: Find the first four nonzero terms in the Maclaurin series for the function. f(x)=x sin(4x) 32 O A.…

A: We have to find the McLaurin Expansion of given function.

Q: Given the series 1 1 - - 1 3 > Next Question + 1 9 - Does this series converge or diverge? O…

A: We will find the required.

Q: Let the velocity vector be v(t) = (6 cos(3t), 4t³, 9 exp(3t)) and the initial position vector be…

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

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Q: The following integral will be evaluated using integration by parts with the indicated choices of u…

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Q: Evaluate the integral. √√2 √√2 히 du du (Simplify your answer.)

A:

Q: ar(t) = cos(-10t)i+sin(-10t)j-10tk, compute A. The velocity vector v(t) = B. The acceleration vector…

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Q: Suppose sin theta 0, identify the quadrant(s) of the graph?

A: Given that sin θ < 0 and tan θ > 0

Q: The limit below represents a derivative f(a). Find f(x) and a Tim (4 th) 2 - 16 h h₂o a =

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Q: Five years ago, you acquired a 30-year loan of $130,750, charging 6.8% annual interest, compounded…

A: We need to find amount for both cases.

Q: Using green's theorem, evaluate the line integral xy^2dx + (1-xy^3)dy

A: By Green's theorem we get, ∫Mdx+Ndy=∫∫(∂N/∂x-∂M/∂y)dxdy

Q: S f (t) dt = cos(t²) + C, what is f (t)?

A: Given query is to find f(t).

Q: A honey bee population starts with 100 bees and increases at a rate of N (t) bees per 15 week. What…

A: given  population start with 100 bees inceasing rate is  N(t)  bees per week

Q: (For Marketing & Sales Analysts-Consultants). Four months after the deliveries of goods were…

A: Given the sales modely=Cektwhere y represents the sales per month in a given month tIt is also given…

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4 2 3 4

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Q: Find the interest on the following loan. $6000 at 4% for 9 months The simple interest is $ (Round to…

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Q: x,y)= 7x-2xy-3y +94x-38y +9 t the correct choice below and, if necessary, fill in the answer boxes…

A: We will find the required.

Q: Find the most general antiderivative or indefinite integral. (8 + tan ²0) de (Hint: 1+ tan ²0 = sec…

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Q: Find the future value for the ordinary annuity with the given payment and interest rate. PMT=…

A: Given query is to find the future value.

Q: Evaluate. [(5x³) dr = | antidifferentiation) +C (You do not need to enter a constant of

A: evaluate    ∫(5x3)dx   formula ∫(xn)dx=xn+1n+1+C

Q: 2. L{t7}

A: We have given function to find Laplace transform  Using formula  Ltn = n!sn+1 Put n=7 Lt7 =…

Q: Which of the following can cos² be simplified to? 0 1-sin O 1 + sin e 01 - sin e O sin e O cos -…

A: Given expression: cos2θ1-sinθ

Q: Use Euler’s method with step size h = .1 to estimate y(.3) if y is a solution to the differential…

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Q: Simplify the following expression completely. 3√2x+1-(3x+4)(2x+1)% 2x+1 f(x)=

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the value(s) of ß for which y (t) = cos(ßt) satisfies y” + 100y = 0

A: Given that yt=cosβt satisfies the equation y''+100y=0. We have to find the values of β.

Q: 15.4, 4

A: We will find the required area of one leaf.

Q: Evaluate the integral using integration by parts. 7xe²x dx 7xe dx = Ja

A: Solve the following

Q: A produce buyer for a juice company is buying pears. He makes a choice of either New York, Michigan,…

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Q: . Find the area between the curvey = x² and the straight line y = 8x - 4.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (a) Determine if there are any absolute extreme values for f(x) in the interval [0, 1].

A: According to bartleby guidelines we supposed to the first one of multiple questions kindly repost…

Q: C. 1. Determine the area of the given region. XX y sin 2x-1 -2 y = sin x y=sin 2x 2x

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Q: Suppose F′′(x)=Ax+B, with F′(1)=r and F(1)=s. Find F′(x) in terms of A, B, and r. F′(x)= Now find…

A: given  F''(x)=Ax+BF'(1)=r and  F(1)=sF'(x)=∫(Ax+B)dx∫xndx=xn+1n+1+c

Q: The expression 1-sin² e cos sin e O cos e O tan e cot e simplifies to which of the following?

A: we know that    sin2θ+cos2θ=1let A=1-sin2θcosθ

Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. r(t) =…

A: Given vector function:- rt=t2i+t3j

Q: Find the particular solution. dy dx - 3y = 12, y = 6 when x 0

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Q: 1)a) What is the area under the curve y = 2³ and above the x-axis between z = 1 and 2 = 3? What is…

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Q: If x units of a certain item are manufactured, each unit can be sold for a-bx pesos, where a = 125…

A: To find the maximum revenue.

Q: Find dx dx 2x r = f cos (?)dt 11

A: y = ∫x2πcos( t2 )dtwe want to find out dydx= ddx∫x2πcos( t2 )dt

Q: 2. Given x³ + y³ = 3xy, find the equation of the tangent line at (2/3,4/3). I'm looking for your…

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Q: [sin²0 cos³ Ode

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Q: Find the velocity and acceleration vectors in terms of u, and up. do r = a cos 40 and dt V= = 4t,…

A: Solution Given r= acos(4theta)