Write the partial fraction decomposition of the rational expression. Check your result algebraically. 1 25x2 – 36 1 1 5х — 6 5x +6 1 1 + 5х +6 1 12 5х — 6 124 12B 12 5х — 6 5х +6 1 12 12 12 5х — 6 5х +6 1 1 | 12 ( 5x - 6 5x +6

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Q: Evaluate the following indefinite integral. 10 10 11x dx 10 X

A: NOTE: Refresh your page if you can't see any equations. .

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Q: F(6)=-7 dad f16)=5 %3D d Jox" - 6x - lo Jx F(x)

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Q: Convert the polar coordinates (-4, ST) to Cartesian coordinates. O (-2V3, -2) O (2V3, 2) O (2V3, -2)

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Q: ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. J5 х4 dx 3. S ( 4 x7 + 7 ) dx…

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Q: x2+x+1 2x2+2+x3+x

A: Solution: ∫x2+x+12x2+2+x3+xdx factor the denominator ∫x2+x+1x+2x2+1dx

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Q: Find the total area of the shaded regions. ... Ay 64 y B+x y 64-xf -10 8-6 -4 | -2 2 46 8 10

A: -8≤x≤9Intersection points:8-x=64-x2x2-x-56=0(x-8)(x+7)=0x=-7, x=8Area bounded=∫-8-7[(8-x)-(64-x2)]dx…

Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

Q: Write the partial fraction decomposition of the rational expression. 1 16x2– 121 1 ( x-4 x-4 22 (…

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Q: Which formula is not equivalent to the other two? 10 (-1)*-7 -5 (- 1)* 3 (e) k-7 | 3 (2) k = -7 k+1…

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Q: The polar coordinates expressed as Cartesian coordinates are |(1, O) (-1, 0) (0, 0) O (0, 1)

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Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

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A: I am attaching image so that you understand each and every step.

Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

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A: Distance from a point  (x0,y0,z0)  to the plane ax+by+cz+d=0 is given by    ax0+by0+cz0+da2+b2+c2…

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 15x2 – x3 – 43x – 19 Ax +B C D + rx +s The integral -dx can be rewritten as dx. (x+1)2(x²– 6x+ 13)…

A: Take partial fraction.

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