Find the derivative of the function. g(x) = [2 + (x² + 1)41³ g'(x) = 2 + (x8+ 4x6 + 6x² + 4x²+3)3

Q: Find the complete solution of ey sin x dy cos²x = 0 dx

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Q: e polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of -2. It goes…

A: Topic:- polynomial

Q: Find the critical numbers of the function. f(x) = 7x² - 4x Step 1 To find the critical numbers of f,…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given, L-12s-1s32

Q: Consider the following initial-value problem. y" 5y' = 8e4t4e-t, y(0) = 1, y'(0) = -1 Find L{f(t)},…

A: We need to fill in the blanks

Q: 4. Use a sine function to describe the height of the tides of the ocean if high tide raises the…

A: The high tide of the ocean raises the water level to 5 m at noon and low tide drops it down to 1 m…

Q: Use the Laplace transform to solve the given initial-value problem. y" + 5y' + 4y = 0, y(0) = 1,…

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: To Find  : Distance between the point (5,5,5) & plane x-y+2z=8

Q: CIVIT e graph of the following degree 5 polynomial function, find all of the zeros and their m 6 5 4…

A: Topic:- polynomial functions

Q: (2xcot(x) csc²(x)) dx

A: Given problem:- ∫2xcotxcsc2xdx

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Q: Use the Ratio Test to determine if the given series is absolutely convergent or divergent. (6n)! ∞…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) = 9,…

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Q: Evaluate: L- 2s 1 2-2s = Blank 1

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Q: Find the minimum and maximum of A over a particular interval [0,6]. -1. The graph of y = f(x) is…

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Q: t is a fact that the function  f(x) = x(161/x − 1) has a limiting value. Use a table of values to…

A: We need to find limiting value.

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral = - for…

A: f(t)= t, 0<=t<1          1, t>=1.

Q: 56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y…

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Q: dy (x+1). + y = ln x dx y(1) = 10

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Q: 9. A missile is rising at a constant rate of 100 meters per second. An observer is 600 meters away…

A: Given speed of the missile is 100meters per second. an observer is 600 meter away from the launching…

Q: Situation: An online retail company tracked total number of purchases monthly. In February 2007 they…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s. f(t) = et cosh(t) L{f(t)}…

A: Note: Since the student has not given Theorem 7.1.1 to find the Laplace transform, so we solving…

Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -5…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Problem #3: Consider the following statements. (1) Σ n=0 (-1)" 2n+1 X² (2n + 1)! = X- ∞ (iii) The…

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Q: Find the complete solution of d dt 5t Vs

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Prob. 2 Find the derivatives of the following functions using any technique available. (a) (ots)…

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Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: 2. A ball travels in a circle at 3 radians/s and starts on the positive x-axis. How far away is the…

A: Let 'w' be the angular speed of the ball travels in a circle.  Thus, w= 3 radians/s.  Let 't' be the…

Q: If the radius is 9 cm, and the central angle is 80 degrees. Find the following a) Arc length,s b)…

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Q: f(x) = 2 x-6x-7 8-2

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Q: Evaluate the integral using the following values. 8 ["x³ dx = 960, ["x dx = 24, ["dx-4 = J4 8 [²- x…

A: Gievn , Hint: 4∫8xdx=24   .....(1)

Q: Evaluate the following integral: 2x 3xy SS²*13 (2y)dzdydx x

A: A detailed solution is given below       We know that ∫xn dx =  xn+1n+1

Q: Mia -Mark Settle a Dispute 1 0 -4 4 Mark thinks the equation y = 4* will match the solid graph. Mia…

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Q: Let k>0 be a positive constant. Find where Cis the arc of the parabola is a constant, from the point…

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Q: -4 -2 12- -8 -4 0 2 -N What is the equation of the graph shown here? 4

A: Let's find equation of given graph.

Q: At x = 2, the slope of the curve y = 2x3

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Q: Find the derivative of the function. q=5√x³+3x q' =

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Q: Evaluate the following. √ √x- x - 4y + z ds S: z = 14 - 3x +9y, 0≤x≤ 6,0 ≤ y ≤4 Part 1 of 4 To find…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: Question 1 Given: 2y" + 5y¹ - 3y = 0; y(0)-4, y'(0)=9. Evaluate f(1).

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Q: Find the derivative by the limit process. f(x)=14-x² Step 1 Complete the definition of a derivative.…

A: topic:- calculus

Q: What is the answer for the two parts of question B? The number isn't readable. I tried, 48, 46, 42…

A: Given.

Q: ST sinx + 2 cos x dx

A: we have to evaluate the integral ∫0π sinx  + 2cosx dx

Q: Can you please specfically tell me what the two intercepts are.

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Q: a. Find the nth-order Taylor polynomials of the given function centered at 0 for n = 0, 1, and 2. b.…

A: a. Given that, the function is fx=e-10x. Note that, the Taylor series expansion for the function fx…

Q: 2. π 2 1/² cott x dx 4

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Q: I 1. a) Describe the transformations that would map /(x) = logx to g(x)=3log[-2x]+1 b) State the…

A: We have to describe the transformation and mapping rule.

Q: 2 i) [x² ( x + ²7 - 2²/1) dx x i) Ï 0 x³ - 8 x-2 dx ii) ii) f (x³ + 3x² + 1) e-2x dx xe xe1+x dx

A: Given:   i) ∫x3x+2x-1x2dx Expand   =∫x4+2x2-xdx Apply linearity     =∫x4dx+∫2x2dx-∫xdx