p(x) = sin x cOs x Select the correct response. O tan x O cos? r- sin? x ,2 COS" X O sin x - x cos² 1

Q: . Solve the boundary value problem y" – 18y'+81y = 0, y(0) = -3, y(1) = 1.

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Q: (4x* – r*y+ y*)dx + x*dy = 0.

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Q: Find the most general antiderivative of f(t) =8 cos(t) + 6 sin(t). Note: Any arbitrary constants…

A: The given function,        ft=8cos(t)+6sin(t)

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: dx Evaluate the improper integral x(In x)?

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Q: A graphing calculator is recommended. The normal monthly high temperatures for Erie, Pennsylvania…

A: Ht = 56.72 + 23.62sin0.50t-2.08       ,t∈1,13Lt = 41.89 + 21.52sin0.52t-2.27        ,t∈1,13…

Q: Question 7 A cable of length L is cut into 2 pieces. One piece of the cable is used to form a square…

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Q: Find an equation y = f(x) for the parametric curve c(0) = (cos(0), 10 cos(0) + 3 sin? (0) and…

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Q: Approximately the greatest error in calculating the hypotenuse of a right triangle from the lengths…

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Q: Find the area of the shaded region. NOTE: Enter the exact answer. y = z +3 A 3.

A: Note: As per our guidelines, we are not restricted to handwritten or typewritten. We are free to…

Q: 3x+1 7. 9e ax

A: The given integral,       ∫9e3x+1dx

Q: 1. f(t) = sinh? t

A: Given

Q: Tokio tracks the monthly balance of her investment in a newly opened bank in Palawan. Refer to the…

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Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

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

Q: 1- 2x2 - cos 2.x 3. Use the Taylor series to evaluate lim DO NOT USE L’HOSPITAL'S RULE. x4 Evaluatee…

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Q: Vxdx 10. 9+x4 3/4

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Q: Given that yı 1 = = 3e is a solution of the differential equation y" + 3y = 0. Then, by using…

A: Follow next step

Q: Describe the graph of the equation. r = 6 sin 9t i – 6 cos 9t j O Itis a circle of radius 6 in the…

A: Given curve  r= 6sin(9t)i-6cos(9t)j =xi+yj So, x=6sin(9t) , y= -6cos(9t)

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. || %3D

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Q: cos 2ot) Wheré w iš a -3(1-cosh 377t) 4.

A: Given problem :- 4.  -3(1-cosh377t)/t  Find laplace transformation of given f(t) function

Q: 2 Determine f(x), given f'(x) = x´ – 3x + 1, and f(0) = 2.

A: As per the company guidelines we are supposed to answer only the first question.Kindly repost the…

Q: Estimate the error if P2(x) = 1- is used to estimate the value of cos x at x = 0.6. 2 ...…

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Q: QUESTION 4 At noon, Ship-A is 210 miles east of Ship-B. Ship-B is sailing due east at rate of 30…

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Q: Given x2 + 11x + 18 f(t) 1+ cos (x) At what value of t does the local max of f(t) occur? t =

A: Solved below

Q: dx 1- S 4+x2

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Q: dy Solve dx x +y and find the particular solution when y(1) = 1 dy = x – y and find the particular…

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Q: 議 三 彩券 財 The table gives selected vahies ofrthe velecity, v(.ototicle noving along te raxls. At tine…

A: topic - graph

Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

Q: A general equation of conic section is given as y + 4x? + 4(x – 2y) + k = 0. Determine the value/s…

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Q: If logx y = 100 and log2 x = 10, then the value of y is: O a. 2 to the power thousand O b. 2 to the…

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Q: x +1 Evaluate the integral dx. Vx2 + 2x + 3

A: Note: for given integral none of the option is correct match.I have solved as per integration by…

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. ||

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Q: Using a Taylor series, find the polynomial of least degree that will approximate F(x) throughout the…

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Q: For function f, how would you remove the discontinuity? In other words, how would you define f(5) in…

A: For continuity limit of function at a point should be equal to functional value at that point.

Q: If a > b, it is possible to have log,(a) < log.b). (As usual with logarithms, a and b are positive…

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Q: 3- fxvx? +1 dx

A: Let's find.

Q: log54 (x) can be a negative irrational number. Select one: O True O False

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Q: 1. y = In(x? – 7x) 2. y = x³ In(x? + 3) 3. y = In(x? – 1)³/4x + 2 4. y = In v4 – 3x -

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: ニ1 近。 Question 2 D. O E OA 3. (A) 3. 3. (). 32 3. (C) 16. (B) zg (7) The area of the region enclosed…

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Q: 6. y = 3x²V4x

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: given  r(t) = cos(πt) i - ln(t) j + √(t-4)k ; t0 = 5  Have to find domain of r(t) and valu of r(5).

Q: 16. Graph the line determined by the two points, and find the slope of the line: (-1,2), (7,8)

A: slope of the line passing through the point  (x1 , y1)  and (x2,y2) is m=y2-y1x2-x1

Q: Find Duf at P. 1 2. f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u %3D - -

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Q: 2. Evaluate the integral where R is the trapezoidal region with vertices (1,0), (2,0), (0,-2), and…

A: A detailed solution is given below.

Q: A particle moves with acceleration a(t) = 10 sin t + 3 cos t, s(0) = 1, v(0) = 2. Find s(t).

A: We have to find s(t)

Q: Question 5 of 10 A spring whose natural length is 13cm exerts a force of 37N when stretched to a…

A: Let's find.

Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

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Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis.

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Q: The graph of the derivative of a function f is given. According to the graph, f has a local minimum…

A: We know that local minima and maxima exist at critical points (where function is not defined or it's…

Q: Show the solution.  1) What kind of triangle whose lengths of the sides are 11, 15, and 9? 2) A…

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