for what value of x does the function  f(x) = 1/3 x3 - 4x attain the absolute minimum in the interval [-3,5]?

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A: Formula used:logan=nlogalogab=log(a)-log(b)loga.b=log(a)+log(b)

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Q: Problem 3 If the nth partial sum of a series E1 an is п— 1 Sn n+1 find an and E=1an.

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Q: Month: Q/ Finc 4he X-c (x)

A: f(x)=x3-x2+2x2

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Q: (a) f ry dy dx а. 13/7 O b. 27/2 Ос. 12/5 O d. 18/7

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A: Select the correct option?

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

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Q: 8. A population of beetles can be modeled by the equation y = 1000sin (12t)+8000 where t is in…

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Q: Enercisec: O Finol the affacasuimate Value oftthe fumetas ont =25 frems4he folfow fuy table by nsieg…

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Q: sin(ø) = 2 3 and <0. Given that <0< what is the exact value of cos(20)?

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A: Find the value of sin(7pi/8).

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A: Let's find.

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A: see below the answer and calculation

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Q: What is the exact value of sin(67.5°)cos(22.5°)?

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A: Find your answer below

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Q: Antiderivatives resulting in inverse trigonometric function X dx x4 + 3

A: Use the method of substitution and solve the integration.

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A: Foci:  F(0, ±10), vertices (0, ±7)We know that equaton of ellipse is x2a2+y2b2=1  (a&lt;b)Here focus…

Q: lim ((6x + 2) (3x² – 3)) = x-6

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Q: 10. For the function f(x) = -2· ex + 6, find the domain, range, and equation of the asymptote.

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Q: Vx2-7x+16-V6 2. lim X→5 (х-5)/x+1

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: What is the differential equation of the solution y = C1e®" + C2xe®u + C3e¬7w ? O y" – 11y" + 45y +…

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Q: 14. (a) For the angle Name the quadrant the angle lies in and its reference angle/number (b) Convert…

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Q: 4 dx x2 4x2 - -- x2

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Q: 2. Find the surface area of the octant.

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Q: 2. Find the value of xy dx + Vy2 + 1dy, where C is the path shown on the graph below. (Hint: Use…

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Q: Find the derivative, r'(t), of the vector function. r(t) = cos?(at) i + tebtj + s²(at)i sin?(ct) k…

A: Given that       r(t)=cos2(at)i + tebtj + sin2(ct)k

Q: Let f be the function for x 7 Find the value of c that makes the function continuous.

A: Given the function  f(x) = x2-cfor x&lt;78x+3cfor x≥7