Use a computer algebra system to graph fand to find f' and f". Use graphs of these derivatives to find the following. (Enter your answers using interval notation. Round your answers to two decimal places.) x2/3 5+ x + x4 f(x) = Find the interval the function is increasing. Find the interval the function is decreasing. Find the local maximum value(s) of the function. (Enter your answers as a comma-separated list.)

Q: Determine whether the lines Lj and L, are parallel. Lj: х%3D 3 — 31, у %3D 5 + 1, L: х%3D6 — 9t, у…

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Q: 6- (3, 4) (0,3). (3, 2) (-2, 1); (3,0) :3 2 4 Find the limit lim f(x) b. lim f(x) lim f(x) а. с. T-2

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Q: is 8 g/cm while a

A: answer is in next step

Q: 7. SE (x? – 2 +) dx = x(x³ – 4x + 4) + C 8. S(cot?x + 2)dx = x – 2+C cot³x 9. S csc²x D dx = - ot'x…

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Q: :- Solve the following two equations by applying the idea of Gauss-Siedel iteration. -+2y-5%=0, 4…

A: Let's find.

Q: хах 11. The integral f 4-х2 is equal to 1 A. In | | + C C.-글m14- x리 + C 4 x+2 2+x B. In |4 – x2|+C…

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A: The given question has been solved in detail

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A: To Find : a) A vector which is oppositely directed to v=<3,-4> and half the length of vb) A…

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Q: (x + y)dx + (x – y) dy = 0 %3D

A: A detailed solution is given below

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Q: Determine the following indefinite integral. 1 dy 14y

A: ∫114ydy=114·∫1ydy=114lnyAdd a constant to the solution=114lny+C

Q: Evaluate the definite integral. Use a graphing utility to verify your result. u - 2 du

A: answer is in next step

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Q: х3+9х2+20х 4. lim х-3+ х2+x-12

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Q: 5. E-1 ne-" n=D1

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Q: Determine the following indefinite integral. Check your work by differentiation. dt 49t + 49 6. dt =

A: Here we have to determine the indefinite integral.

Q: where k > 0. 4. s(s-k)'

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Q: Consider the following function. f (x, y)  =  (x − 4) ln(x6y) (a) Find the critical point of  f.…

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) 14/3 lim + 7t/3 (3123 + 13)²

A: Given query is to find the value of the limit.

Q: Direction: Determine the Inverse Laplace Transform of the functions using the Laplace of Integrals…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 1- cos 9x…

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Q: that you are using. Σ n=1 n/2+1 •a.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: To solve the following problem using langrange multiplier

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Q: Find the directional derivative of f(x, y) at P(5,0) in the %3D x + y direction of Q(3, –3). NOTE:…

A: f(x,y)=20x+y

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Q: y" + 25y = 0, y(0) = 4.6, y'(0) = -1.2 %3D %3D %3D

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Q: 3. If sin a and a is in quadrant I, use the double-angle identities to find sin (2x), cos (2x), 8…

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Q: 4. The function g(t) = (8t)' – cosh² t + sinh t satisfies g'(c) = 0 for which value of c? (a) c= 0…

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Q: lim (In ( V13x² + 9 (x) uj - (6+ - In X00 (Express numbers in exact form. Use symbolic notation and…

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (Vx+4 -…

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Q: Determine the following: a. if the given differential equation is homogenous b. the order, degree,…

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A: Station is located at the point ( a,b)

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Q: GIVEN : 2x 2х - 2x ) + 6 1 1 f (x) = 1 --x 8 g(x) = 3(x + + 4 h(x) = 6 - || 3 a.lim -4 · f (x) d.lim…

A: For (a),     limx→2-4 f(x)=limx→ 2-41-18xPlug in the value x=2=-41-18· 2=-3

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Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: The function f(x) = x + eª has one real zero x0. In which of the following intervals must xo lie? А.…

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Q: Σ n=1 (2n+ 1)3/2 Use the Integral Test to determine if converges or diverge:

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