Find the first derivative of y = x (cos(In x) = sin(Inx)) O-2 sin(In x) O sin(In x) O 2 sin (In x) O cos (In.x)

Q: Q2-Solve the differential equation dy = - y xcos² (-) dx

A: I am attaching image so that you understand each and every step.

Q: 04: Find dy/dx for the following function: (1) y=sinh-1(tanx)

A: Given problem:- y=sinh-1(tanx)  Find dy/dx

Q: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

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Q: Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B…

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Q: Find the equation of the line tangent to the graph of f(x) = 3 - 2x at x = 3. Provide your answer…

A: The slope of tangent on a curve f(x) at x = a is given by,  m = f'(a)  The equation of tangent on a…

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: 4-f(t)=e¹²¹.t³.

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Q: Assume x and y are functions of t. Evaluate dt dx 3 y = 2x +93, dt = 2, x = 5, y = 7 (Round to two…

A: Given: y3=2x3+93 ; dxdt=2, x=5, y=7.

Q: solve the following diff. eque. of едис. 2 -2 O x ý76 Xý tay =

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Q: du 02: b: Prove the following formula: coth u=-csch² u. dx

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Q: Apply the eigenvalue method to find a general solution of the given system. Find the particular…

A: Taking the eigen values and eigen vectors from the previously uploaded answer.

Q: A movie stuntman receives an annual salary of $110,000, but becomes a quadriplegic after jumping…

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Q: Solve the initial value problem y" - 2y' — 8y = 0, y(0) = a, y′(0) = −6. Find a so that the solution…

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Q: Suppose an angle a is drawn in standard position. In each case, use the information to determine…

A: We have to find the quadrant for the angle alpha which satisfies the following conditions  a)…

Q: 5, S₂(4 - 2x)dx

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Q: What is the area of AABC given mzB = 83°, a = 25 feet, and c = 40 feet? O 561.46 feet² O 496.27…

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Q: Find the simplified form of the following expression. State restrictions. x²-1 x²-x + x-2 x²+x-6

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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Q: 9 csc(x) dx csc (x) - cot(x) ||

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Q: Find the volume generated by revolving the given plane area about the given line, using: I.) Sketch…

A: To find the volume generated by revolving the given area about the given line, using: I To sketch…

Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: Solved below.

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

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Q: Evaluate the indefinite integral. -3.5 - 15t - 3t-¹)dt (-15-35-3t-1)dt = 1 4 +²√t - 2 In t+c (Type…

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Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: X dy + dx y = 752 2

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Q: The graph off, the derivative of the function f, is shown. -20 Which one of the following could be…

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Q: convergence : 00 Σ+1*. n=1 1 n 10n (x - 2)"

A: We will use  Ratio-Test to find the solution

Q: H.W (5) Solve the following differential equations of .0 2xy dx + (x² + 3y²) dy

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Q: The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

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Q: Prove using the def. Of a limit (b) limx→0(2x^2) − 3)) = −3

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Q: D. If the outer function is not differentiable. C. f 5x¹ dx = D. f 5x8 dx = 47. Which of these…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: For Numbers 27-29. Suppose that a particle moves along a line with position s(t) = 2t² + 3t + 1…

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Q: For 16 years, Janet saved $250 at the beginning of every month in a fund that earned 5.75%…

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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 10 in./min.…

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Q: Consider a trough with the shape below. 2 m X 5 m 8 m It is full of water, which has a density of…

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Q: Solve: 9 d2y/dx²-24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer. The…

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Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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Q: An investor purchased a 93-day, Government of Canada T-bill that had a simple interest rate of 4.50%…

A: Given problem:- An investor purchased a 93-day, Government of Canada T-bill that had a simple…

Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

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Q: na tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is…

A: We use here properties of triangle to find the angle between spectator and hole

Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c)…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: - Second order : non- homogeneous Equations with Constant Coefficients d²y 4-- + 16y = 10 cos 4x dx²

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Q: 11. Determine lim log x. x→1 A. 0 B. -1 12. Determine lim ln x. x→1 A. 1 B. -1 C. 1 D. DNE C. 0 D.…

A: 11) limx→1log(x)=log(1)We know that log(1)=0Thereforelimx→1log(x)=0. Therefore option (A) is…

Q: Find laplase 4-f(t)=e²¹.t³.

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: given foci =(-2,-5),(-2,7) vertices=(-2,-4),(-2,6)

Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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Q: Find the dy/dx if x = 2u3 - 3u- and y = ? - 3u ㅇ뼢 ㅇ ㅇ삁 ㅇ u+1

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Q: Kelsey heard that she could triple her money in 11 years if she invested it in a large…

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