dx If x2 – 2x – 4 is solved by trigonometric substitution, which of the following substitutions is used?

Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' -…

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Q: dx :Ja-4)(x-1) Evaluate: 1 A (x-1) + C X- 4 B None of the given choices x- 4 + C х-1, © 3ln

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Q: If ∫3 6 (5f(x)+2)dx=14, then ∫3 6 f(x)dx=

A: ∫ab fx±gx dx = ∫ab f(x)dx ± ∫ab g(x) dx

Q: Use two iterations of Newton's Method with initial guess xo = to approximate the solution of f(x) =…

A: We have to find the value of x2.

Q: Finding an Equation of a Tangent Line In Exercises 85-90, find an equation of the tangent line to…

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Q: In solving the antiderivative of f(x)= 3sin(x) + 4cos(x) +5 by miscellaneous substitution, the…

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Q: Question 6 Evaluate: VA 4 – a² A None of the above 2 sin () – av4 – a² + C f (x) 4 sin- (E) - æv4 –…

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Q: solution

A: We have to choose the correct option from the given options according to the given information

Q: A man 6 ft tall is walking at the rate of 3 ft/sec toward a streetlight 20 ft high. At what rate (in…

A: Let's draw the diagram for the given condition

Q: All continuous functions have antiderivatives. If f and g are continuous on a <x < b, then "Ư(x) +…

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Q: Use the Comparison Test or Limit Comparison Test to determine whether the following series…

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Q: The marginal cost of manufacturing x yards of a certain fabric is C'(x) = 3 – 0.01x + 0.000006x2 (in…

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Q: S- dy - = 2/y- 5in|Vy+ 5| +C Vy +5 А) True B) False

A: ∫dyy+5Let y+5 =xdifferentiating on both sides12ydy=dx=∫2y dxx=2∫x-5xdx=2∫(1-5x) dx

Q: Evaluate the definite integral. (Round your answer to three decimal places.) 'In(7) to dx 1 + e2x

A:

Q: Q38: If y = e2x sin 5x, then which of the following is true? (a) y" – 4y' + 30y = 0 (b) y" – 4y' +…

A: Given,            y=e2xsin5x

Q: Let E be the solid that lies under the the plane z = 4, and on the xy-plane it is enclosed by y=…

A: Find your answer below

Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: dæ Evaluate: 9x² + 4 A None of the given choices B f (x) = -4 ln 9x² + 4 + 2 + C f (x) = -2 ln 9x2 +…

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Q: find S- とx 1-COS2X

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Q: Consider the initial value problem y'(t) = t² - 3y, y(3) = 1. What is the approximation to y(3.1)…

A: Here we have to use the Euler's method.

Q: 2x+1 Evaluate: (3z-1) (포2 + 2z + 2) 2 In (3r- 1)+ In (a+ 2x +2)- 4 arctan (r+ 1).c +C F (1) = %3D 10…

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Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3, 5) and…

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Q: The graph of a function f is given. (Let a = 1.) 0 1 8. (a) Estimate f(x) dx using four subintervals…

A: We have to estimate the given integral.

Q: 33 2Vx- f(x) = T sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x (1–3t)5(t³-8) alt) t # 2

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Q: 32 2 f is continuous and | f(t) dt = 6, find the integral / t* f(t) dt.

A: Given problem:-

Q: u+ 2v = 1+ vw; wy, and vw.

A:

Q: Differentiate the function:  k(x) = 4 ln (x) + 2 cos x + x^2 k'(x) =

A: k(x)=4ln(x)+2cosx+x2Differentiate with respect to xk'(x)=(4×1x)+2-sinx+2xk'(x)=4x-2sinx+2x

Q: dy 1 y? +y 3

A: We have to integrate.

Q: characters. And, DO NOT include dy/dx in your answer. * dy given x = sin (x+ y). dx Determine

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Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: •4 b (3x – 4)° dx = || f(u) du where (enter a function of x) = n dx (enter a function of x) — пр a =…

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Q: In each of the problems, solve the given differential equation. 3. xy` = (1 - y2)1/2

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Q: O Yes, Rolle's Theorem can be applied. O No, becausef is not continuous on the closed interval (a,…

A: Given query is to find rolle's theorem can be applied or not.

Q: If the region R is bounded between two circles 961 x² + y? = 4, x² + y? then we have: 2л 3 sin(Vx2 +…

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Q: 1 Y(s) : s2 + 7s + 10 a. y(t) =(e-5t – e24) b. y(t) =(e-5t + e²') c. y(t) =(e5t - e-2t) d. y(t)…

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Q: Find the two x-intercepts of the function f and show that f'(x) =0 at some point between the two…

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Q: Question 8 x2 + 64 Using trigonometric substitution, given - dx, the simplified form of the integral…

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Q: Let v = (-2, 3, 4) Calculate: v xi= ( || v xj= ( v x k = (

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Q: If t = x + ex, find d2x/dt2 given dx/dt = 1 / 1+ex.

A: dcdt=0 , where , 'c' is any constant. dexdt=ex .dxdt

Q: Find:  ∫sin(3x) cos(6x) dx.

A: cos(2u) =2cos2u -1

Q: dx %3D = 7 in the expression for ap and simplify. Substitute dt dt x + 5sin 5x(cos 5x) dx dD dt Vx +…

A: Here we have to substitute the given derivative.

Q: 33 Vx2 f(x) = + Ve2x + 2x – In e, x # 1 TT Sin 2x - 1-x

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Q: I. Evaluate the triple integral zdV, where E is bounded by the cylinder y? + z? = 16 and the planes…

A: Let's find.

Q: the substitution formula to evaluate the integral. 4 cos³ x sin x dx T/3 27) 15 A) 15 B). 15 3276 D)…

A: Given query is to find the value of the integral.

Q: Question 1 9- 4.22 Evaluate: (A) 9 – 4a² + 2 sin-' () +C f (x) : B 9- 4x2 – 2x sin f (x) = V9 – 4.x2…

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Q: uppose that f(1) = 6, f(4) = -2, f'(1) = 5, f'(4) = -3, and f" is continuous. Find the value of af"…

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Q: 11) у - еx4 In x ex4 + 4x4 ex4 In x A). + 4exª In x B) 4x4 ex4 + 1 C) D erg + 4x3 ex4 In x

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Q: 4) Determinė the equation of the tangent to f(x) = -x² + 3x+1 that is perpendicular to the line x+2.…

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Q: If D is the region in the third quadrant between x +y? = 1 and x2 + y? = 4, then using the polar…

A: We have to convert given double integration into polar coordinates integration.