Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

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Q: 3. Find the area of the region between the curves y = Vx and y =x2.

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A: The given limit is: limx→∞3-12x45+3x4

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A: inverse laplace transform of  1s2+s

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A: Given query is to find the Indicated limit.

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A: Let, the radius be r, which belongs to the interval (0, 10)  So, 0 < r < 10  The area is, A =…

Q: V. In each of the following, find the arc length of the curve traced out by the endpoint of the…

A: This is a problem related to arc length of the vector. Based on the general formula of arc length we…

Q: у" - у' - бу %3 exp(-x) - 7 сosx

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Q: -2 (5х2-3х+18)dx 1. 1 9х-х3

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Q: 1. Sx² e**dx

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Q: Find the points on the ellipse x+3y =1 where f(x.y) = xy has its extreme values. The points are…

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Q: (v2x+2Az+1)(v/2x+1)[/2x+I+v2x+2Az+1] (V2x+2Az+1)(v2x+1)[/2x+I/2x+2Ar+1] -3…

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Q: Let f(x) 2x + 9x? – 108x 5. Calculate the derivative f'(x) = Calculate the second derivative f''(x)…

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Q: 1. A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward…

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Q: 2. ) If a = 3i, b = i+j, c= i – 2j then: a) Find a + b + c in in i, j form. b) Find b + 2c in i, j…

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Q: cos x dx

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Q: 2 3 Sźcsc(ln[5x²])cot(In[5x²])/csc(In[5x²]) + 5dx

A: To evaluate the following integral. ∫27x cscln5x2 cotln5x2 cscln5x2+53 dx

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Q: Evaluate the integral. 40 sin 80 de cos Scos cos 40 sin 80 de =

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Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + %D 5 1 9) y =- + 2…

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Q: Evaluate the following limits. If needed, enter 'INF' for ∞ and '-INF' for -x (a) (4 – x)(8+ 3x) lim…

A: topic - limits

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: x and y -2x Find the area of the region enclosed by y

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Q: TT Consider the region D bounded by y = cos(x), y = 8 + cos(x), and x = + 3 y y = 8+ cos(x) 8 6. 4 y…

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Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

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Q: -5 5 10 -10 15

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? ... S- 300 dw w/100 – w? (Type an…

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