Find the derivative of f(x)=x−6/x^2+5 Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).a−b/1+n. Include a multiplication sign between symbols. For example, a⋅πa⋅π.

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A: ∫ 2-xdx since you have posted multiple question i can do first question as per our company…

Q: A. Verify if the given general solution is a solution of the indicated differential equation. 1.…

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Q: dz dr sin (r) cos(r) cos (z) sin(z) = 0

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Q: C- Find the Fourier expansion of the f(x) = sinx -T< X < T

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Q: Find the average rate of change of the function f(x) = square root x from x1=49 to x2=81

A: We can find the average rate of change of the function in the below steps.

Q: A = [3 2 01 00 67 -2, B= -1 2 71 053 006

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Q: 11. Find the sum of the rectangle areas. 14 12 10 8 6 4 2 O 3 f(x)= 6 24 X 6 2

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Q: 2. If / is continuous on (-0, 0), what can you say about its graph?

A: If f is a continuous function on the interval (-∞,∞) then its graph will be→ a smooth uninterrupted…

Q: 3. Find the area bounded by the curve y = x(x - 1)², the y-axis and the line y = 2.

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Q: rob 2 Evaluate lim (√92² +2² - 32) 846

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 7. lim Z-0 cos²(y+z)-cos² y z A) cos² y. B) 2 sin y cos y. c) 2 cosy. D) - sin(2y). E) cos(2y).

A: L'Hopital's rule is used. Chain rule is used to find the derivative.

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Q: Use Gauss Jordan row reduction to solve the given systems of equation. 2x + 3y = 2 and -x - 3y/2 =…

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Q: Q1: The area of the surface generated by rotating the line segment joining the points (3,1) and(6,3)…

A: To find integration:

Q: 6.1. Determine the values of m and n so that the function f(x) will be continuous for all values of…

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Q: 20. Compute the area bounded by the curve y² = 4x and y² = 8x - 8.

A: Let's find area bounded by the curve.

Q: Q2/ Ali is packing for a vacation. He owns twelve shirts and wants to pack five of them. How many…

A: Ali has 12 shirts. He wants to pack 5 shirts out of his 12 shirts.

Q: Direction. Write the letter of the correct answer on a separate answer sheet of paper. 1. The…

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Q: [6.5.10] Find the average value fave of f(x) = 1/x on [1,3]. Then find all c € [1,3] such that f(c)…

A: f(x)=1/x

Q: d the equation of the tangent line to the graph of the function f (2) I+7 2-6 at the poim

A: Topic:- application of derivatives

Q: Find the nth term of the arithmetic sequence whose initial term is a₁ = 4 and common difference is…

A: The nth term of the arithmetic sequence is given byan=a1+(n-1).d         Equation 1wherea1=first…

Q: dr=-4 tdt, when t=0, r=ro 0 r

A: We can find the particular solution in the below steps.

Q: 1. The domain of the function f(x) = ln(2-√√x) is: A) (-∞0, 4). B) (-∞0,4]. C) [0,4). D) (0, 4]. E)…

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Q: (b) 8x³+6x2-3x-1=0

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Q: 47. 6 4 2 ++++ -4 -8 y 4 ++ x 4 8

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Q: Which functions meet all 3 criteria? . f is increasing on the interval(-∞0, 0) f is bounded above.…

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Q: [1 0 -1 39

A: NOTE: Refresh your page if you can't see any equations. . use the diagonal matrix formula

Q: The values of x, y for the following matrix equation are 3 0 1-[-²2 x+y] ₂] x-2y 0 -2

A: Concept: First equate the column elements of the matrix on each side  Forming the two equations…

Q: is the following differential equation homogeneous or nonhomogeneous? y'' - 4y' = -4y.

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Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4; y" (0) = 17 1) 2) Roots of Auxiliary Equation…

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Q: Use Gauss Jordan row reduction to solve the given systems of equation. 2x + 8y = 10 and x + y = 5

A: given2x+8y=10x+y=5

Q: how do I develop a model for the depth of a swimming pool as a function of the distance from the…

A: We need to develop a model for the depth of a swimming pool as a function of the distance from the…

Q: 2. Compute Se= e sin x dx.

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Q: y = q cos2x+c₂ sin 2x

A: To eliminate the arbitrary constants for the following equation.y=c1 cos 2x+c2 sin 2x

Q: Q3: Th volume whose generated by revolving the region enclosed by the curve x = (y-2)² and the line…

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Q: ES e the following integrals. •/176 Jee 14. 16. e² dl 1 + 66²1 + 9e¹ ● elan de cos³ 8

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Q: Find the x- and y-intercepts of the graph of the equation. (If an 9x² - y² = 144 (x, y) =…

A: The given equation is 9x2-y2=144 To find: we have to find the x and y intercepts of the graph.

Q: 05 Q6 A) Which of the following seri 1) C) 1 D) diverge D) 1

A: We need to find summation.

Q: x1 + x₂ 5x1 + 6x2 || 9

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Q: 3. f(x) = x³ (4x - 2)

A: Here is the solution:

Q: 3 =-=—= x³. - 4x² + 16x + 14 with tangent lines parallel to the line 20x - 5y = 2. Find all points…

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Q: Use the given graph off to find a number & such that if |x-1| < & then f(x) - 1 < 0.2. y 1.2 1 0.8 f…

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Q: 1. Given that lim f(x) = 4 x-2 lim g(x) = -2 x12 find the limits that exist. If the limit does not…

A: Given limx→2fx=4, limx→2gx=-2 and limx→2hx=0

Q: Determine the g" ty T solution 2 the of given sin falt; y/o) = 10 y 10) = 0 77

A: The given differential equation is; y''+y=sqrt(2) Sin(sqrt(2)t), y(0)=10, y'(0)=0.

Q: A patient is adminstered a dose of 70 mg of a drug. If the body naturally disposes of 7% of the drug…

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Q: Sketch the graph of the function by first making a table of values. k(x) = ³√/-x X -27 -8 -1 0 1 8…

A: Let's sketch the graph of given function.

Q: 7. дги + 0x2 аги ди + дуг т dz2 = 0.

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Q: оо 77 -2 2 O 0 sin x dx

A: To evaluate the integral.

Q: 15. y = x + c₁ e* + C₂ e¯*.

A: We need to remove arbitrary constants.

Q: Using the following graph of the function f, evaluate the limits (a) through (i) Q 10 8 6 4 -4- 2 6…

A: Given graph of a function f(x)