Find the derivative of the trigonometric function. y = 6x cos(x) + x sin(x) y' =

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Q: Compute the inverse F(s) = ✓ 5²+45+40 Laplace transform

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: 2. Find AB, where -1 4043-690 B = 1 -2 5 = [ A = 2 2 -1 -5 1 -2 1 2

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Q: How far away he is from the lamp post (60 ft) is irrelevant?? I have looked at other websites also,…

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Q: f(x) = Since these limits are ---Select--- ✓ lim f(x) ---Select--- X-0 ✓and f is therefore

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Q: f(x, y) = x² - 4xy + 5 R = {(x, y): 1 ≤ x ≤ 4,0 ≤ y ≤ 2} absolute maximum absolute minimum (x, y, z)…

A: Absolute maximum : It is the maximum value of the function within the given region.Absolute minimum…

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A: Application of limits in calculus

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Q: e the graph to estimate the slope of the tangent line to y = x^" at the given point. Verify your…

A: Given that a function of tangent line equation and we find slope of this tangent line equation.

Q: 14. Are the functions continuous on the given interval? 7 (a) f(x) = 3 x € [1,7] and (b) g(x)=2x²-₁,…

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Q: Use integration by parts to prove the reduction formula. [ (in(x))" dx = x(In(x))^n (In(x))^-1 dx -n…

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Q: Q3: Find the area of the region bounded by the curves y = sinx and y = cosx TT at x = = 0 and X = 2…

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Q: Question 2 The graph below is the function f(x) -5 -4 -3 lim I-4- 9 4 3 2 1 lim I→−4+ d -3 -4 Find…

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Q: 4. Connecting back - Find the equation of the tangent line to the curve f(x) = 3x² + 2x − 5 through…

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Q: Graph the lemniscate r² = 64 cos 20. What symmetries does the curve have? Sketch the curve r² = 64…

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Q: Evaluate the limits. If any of them tend towards -∞ or +∞, enter "oo" (two lower case "o" letters)…

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Q: | ?? T 1-x² dx

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Q: 20 cm-4-20 cm- Q₁ -8 μC The electric field at point A is zero. What is charge Q₁? Ο 432 με O-32 µC O…

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Q: 11. Evaluate limä→5 19-2x-3 x-5

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Q: (a) Write 9 as a function of x. 8(x) = when x = 5 Need Help? (b) The speed of the plane is 380 miles…

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A: Draw the curve for  on the cartesian plane.

Q: 1. Consider the differential equation y' 4t Y ; y(0) = yo c) Solve the differential equation and…

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Q: On the previous page, we learned how to use the graph of a function to determine where the function…

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Q: The displacement of a mass on a spring is given by s= sint where t is in seconds. 2 Find the average…

A: The displacement of a mass on a spring is given by,

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 9 √x - 45 X - 25…

A: Here we will solve it on doing comparison with the definition

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Q: Find the slope of the tangent line to the graph of the function at the given point. -2x y = e V

A: given function find the slope of the tangent line at x=0

Q: lim x18 2x6 - 3x +3 4x5 + 3x4 1

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