Find the length of the arc formed by 2 = 9y³ from point A to point B, where A = (0,0) and B = - (81,9). Answer: 69421.614

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A: Please see the below picture for detailed solution.

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Q: find the derivatives of the functions using the product rule. 1. √√625x² ⇒ √625 - x² x20 2.

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Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

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Q: f(n)(x) = = (−1)n+13n (n − 1)! (3x + 5)

A: Consider a statement P(n), where n is a natural number. To validity of P(n) for every n, use the…

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A: ∫6∞ xe-x3dx

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Q: In the figure below, set-up the integral expression when the area bound by the functions y = the x =…

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Q: At what points is the function y = x+8 2 x-15x + 56 continuous? Describe the set of x-values where…

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Q: Consider the following function: Step 2 of 4: Determine where the function is increasing and…

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Q: 10. S 1 x²+2x dx

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Q: 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x…

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Q: Use the equation 3 1- x4 (Express numbers in exact form. Use symbolic notation and fractions where…

A: According to question,Given equation,11-x = ∑n=0∞xn            for x<1

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Q: 20 Let f(x) = 3x + Then the equation of the tangent line to the graph of f(x) at the point (2,11) is…

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Q: 2. Prove that d [(2x+1)³] (2x+1)³(4x-19) (x-3)² dx = Then, -5 (2x+1)(8x-38) 3(x-3)² dx.

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Q: Triangle ABC has vertices A(4, 7, 7), B(1, 6, 5), and C(–2, 9, 8). Which kind of triangle is ΔABC?…

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Q: Determine the directional derivative of the function f(x, y) = -5y³ r - 1 at the point (x, y) = (2,…

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Q: Using the Inverse Function Theorem, what is (h−1)′(5) given that h(x)=−2x+14/−x−5? Note that…

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Q: 1. S x(x) dx x(lnx)² sin 0 cos² 0-cos 0-2 2. S- 3. f x² tan-¹ (1) dx 4. f(cot ¹ x + tan¯¹ x) dx 5.…

A: To solve integral

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 5) [615 (1³3) - 3)' dt

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Q: Find (s−1)′(−13) using the Inverse Function Theorem, given that s(x)=(−3x−1)/(−2x+9). Note that…

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Q: By considering different paths of approach, show that the function below has no limit as (x,y) →…

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Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then…

A: Please see the below picture for detailed solution.

Q: 2. Find the gradient of the tangent line of the function below at x = 0. y = 1 + 2x √√₁-x²

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Q: Consider the points P(-4,3,0) and Q(-4,- 4,3). a. Find PQ and state your answer in two forms: (a, b,…

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Q: The arclength of y = 2x³/2 for 1 ≤ x ≤ 3 is:

A: The function is given as , y=2x32 Find the arc length of y=2x32 for 1≤x≤3.

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Q: Complete the parametric equations for the line where the planes 10x - 11y - z = 9 and 12x 13y + 3z =…

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Q: 6. f(x) = (x+3)(x - 5)√x-3

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Q: Calculate the integral, if it converges. If it diverges, enter e5x S²∞ 1+e5x dx = diverges for your…

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