Find all rational roots of f(x) = 3x3 − x2 + 15x− 5.

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A: If  then which option is correct .

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Q: b) x--3 and x-3

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A: dxdy​=(3x2+1)630x(x3+x+1)(2x3−1)4​Explanation:

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A: Given:To find:The arc length is calculated as-

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Q: 5) If f(x)=6x sin" '(x), find' (x) f'(x)= Find f'(0.7) f'(0.7)= 6) Evaluate the integral S 0.8 dx…

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Q: Find f'(x) and find the value(s) of x where f'(x) = 0. f(x)=2 X x +36

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Q: If sin x = 4 , x in quadrant I, then find (without finding x) sin(2x) = cos(2x) = 5 Enter a…

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Q: onsider the vector whose initial point is P(0, -5) and terminal point is Q(−4, 5). e position…

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Q: Find the exact length of the curve. y = ² ²x³/2, 3 0≤x≤6

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Q: Let ā = (1, 5) and 6 = (3,0). Find —ã – b. - - V Λ

A: Answer: <-4,-5>Explanation:For any query with the solution please ask in the comment box.

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A: 61.85Explanation:Using the given, we can use the Linear Approximation formula given…

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Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec sec³ (9x) dx

A: Given Indefinite integral as follows

Q: Evaluate the integral.

A: 1. 34​π​2. 72π2​​Explanation:1. Given:∫3​1​3​​1+x28​dxFirst we need to take out the constant, we…

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A: The solution to the system of equations is x = 5, y = -4 and z = 2.Explanation:We solve the system…

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A: given

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Q: Please don't provide handwritten solution ....

A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: (a) Domain of f(x). (b) r-intercepts and y-intercepts. (c) Vertical asymptotes and holes. (d)…

A: Here we have given a function: .

Q: Consider the logarithmic function: = g(x) 3 log2(1-x) - 6 a) State the range of this function in…

A: a) (−∞,−6)b)  x = 1c) (−∞,1)Explanation:a)To find the range of the function (g(x)=3log2​(1−x)−6),…

Q: 1. f(x) = (4x2)5

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: A graph consists of the line y = 5 for 1≤x≤5 and y = -1 for-3 ≤x≤ 1. Find the accumulation of change…

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Q: Find f'(x) and find the value(s) of x where f'(x) = 0. f(x) = x²+36

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Q: Find dy dx and d²y dx² x = et, y = te-t

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Q: Evaluate the integral

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Q: lim (x,y)→(1,1) 2x² - xy - y² x² - y²

A:

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Q: A drone takes 50.3 seconds to travel 400 metres. Calculate the average speed of the drone. Give your…

A: A drone takes 50.3 seconds to travel 400 meters. To calculate the average speed of the drone.

Q: Find the tangent plane to the equation 2 = x²-y² + 3y at the point (-3,0,9)

A: The equation is:  −6x+3y−z=9 Or it can be also written as:  6x−3y+z=−9Explanation:Step 1:Step 2:

Q: Given the equation below, find dy da - −12x+2x30y+ y² = −9

A: Given Equation is as follows General differential formula is given as

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Q: Consider the function x²+2x-1 if x ≤ -1 f(x) = 3/8x if 1< x < 1 2x+4 if x 1 3 -1, we compute (a) To…

A: The given function is

Q: Evaluate the indefinite integral. 4 ln(5 - x) dx √ 4

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Q: The shaded region shown below is bounded by the functions f, of, x, equals, minus, 3, x, squared,…

A: Given that the region is bounded by the curves and  and the x-axis and the y-axis.

Q: 3. Verify the linear approximation at (0,0). 1 (a) ≈x+y1 x+1 (b) e cos(xy) = x + 1

A: To verify the linear approximation at

Q: Given the points A: (2,3,-1) and B: (2,4,0), find the vector = AB

A: Given the points A:(2,3,−1) and B:(2,4,0).To find: the vector u→=AB→

Q: Find T and N for the space curve, where t> 0. r(t)=(7 cost+7t sin t)i + (7 sin t-7t cos t) + 3k T= i…

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