Use the Comparison Test to determine whether or not the integral converges. dr T-1 (b) (c) 3 -5 C [ da T¹/3 + 1³ 1 √5 +2 dr

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Q: 7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x)…

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

Q: ef. F. Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (9t + 4)i + tj, Osts 1

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Q: A manufacturer estimates that its product can be produced at a total cost of  C(x) = 55,000 + 100x…

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Q: If f(x) = 7 sin x + 9 cos x, then f'(x) = f'(5) =

A: We can find the 1st derivative and the derivative at the indicated number in the below steps.

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A: Topic- Application of derivatives We are given, Apiece of cardboard of dimensions 14 inches by 13…

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Q: 1) Evaluate ]] where D = {(x,y) | y≤x≤1, 0≤y≤1} and [ dy fe²de dx Also explain why they're the same.…

A: Please see the below picture for detailed solution.

Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

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Q: If f(x) = = f'(x) = 5x² tan r sec x Find f'(5)= " find

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Q: Please

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Q: 2 10x The function f(x) = x²e¹⁰x is increasing on the interval and is decreasing on the interval The…

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Q: ԱՆ JS 12x + 3y² dA R es x = y² and x = 9.

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Q: The graph of the derivative of f(x) is shown below: 7+ 6 5 4 3 2 -7 -6 -5 #4 -3 -2 -1 -1 -2 -3 -4 -5…

A: Topic = Functions

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

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Q: y 5 sin(x) cos(x) + 4 csc(x)

A: Given query is to find the derivative of the function.

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A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

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A: A graph is said to be concave up if it is open up side and concave down if it is open downside. A…

Q: b.) If r(x)= 1 √g(2x) > find r'(x) at x = 2

A: Topic = Derivative

Q: 14. Which of the following is an approximate equation of the line tangent to the graph of f(x) = x²…

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Q: For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum…

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Q: Evaluate (2x−y) dx + (x + 9y) dy. C: x-axis from x = 0 to x = 6

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Q: Given the function f(x) = 1 (in blue), consider the functions g (in green) and h (in red) graphed…

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A: To convert the given parametric equation to Cartesian form.

Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

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