The form of the partial fraction decomposition of a rational function is given below. A = B Now evaluate the indefinite integral. 2x √ (32²=² + 2(22=+=+²20) 4) -dx = 3x²+2x+ 20 (x − 1)(x² + 4) 1. ← = A x - 1 C = + Bx + C x² + 4 ←

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A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

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A: given ∫f(x)exdx=f(x)ex-∫exf'(x)dx

Q: Suppose 4²x = 12. Then x = A. In12 OB. (√12)³ 3 OC. 3 D. 109412 E. 09122 2

A: 1). logbxa=a·logbx  where x,b>0, b≠1 2). logbb=1

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A: The equation of the curve is y=x3-4x2 and y=0

Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…

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Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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A: As per our guidelines we are supposed to answer only one question at a time. Solution of 1st subpart…

Q: Perform the indicated integration using RATIONALIZING SUBSTITUTION 3 dy 4 + ³√y+1 1.f.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: 1. Which of the following is NOT true about how f(x) = sin³¹(−4(x+6)) + 8 compares with its parent…

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Q: Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)

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Q: Find an explicit solution of the given initial-value problem. dy_y2. = y(7) = 7 y = dx حمد

A: Given: dydx=y2-1x2-1,y(7)=7 We are required to find: The value of y.

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Q: etermine the moment of force F about point A. = 260 N swer: M₁ = (i 0.55 m 0.50 m i+i j+ i k) N-m

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Q: I. Find the given vector. 1. e, where v = (4, -2, -1). 2. Unit vector in the direction opposite to v…

A: 1. v=4,-2,-1 2. v=-4,4,2

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Q: 14x^2-13x-12 using box method

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Q: An investment worth $1 million in 2005 has been growing at a rate of f(t) 0.14(1.18) million dollars…

A: An investment worth $1 million in 2005 has been growing at a rate of ft=0.141.18t millions dollars…

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Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

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Q: An Internet bookstore charges $20 shipping for orders under $100 but provides free shipping for…

A: C(x) = x + 20 if x < 100         =  x   if  x ≥ 100

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A: The region bounded by the parabolasy=x2+4x+3 and y=-x2+2x+3

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Q: Determine the slope and the equation of the tangent to the curve f(x) = sin(x) + sin(x) at X = π

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A: To evaluate the following definite integral. ∫47xx-5 dx

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Q: Is the line x = -8-6t, y = −8+9t, z = -9t parallel to the plane 3x+y-z=9? Give reasons for your…

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