A partial fraction decomposition of P(x) H(x) = form Ο Α x+1 Ο Α x+1 Ο Α x+1 Ο Α x+1 (x + 1)² (x²+x+1) + + + + Bx + C (x + 1)² B (x + 1)² B (x + 1)² B (x + 1)² + + + + has the Dx + E x² + x + 1 Ca 22 +2+1 Cx + D 22 + 2 + 1 C x² + x + 1

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Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

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A: The given equation is 2x2+9x-1=0 We have to find the solution of the equation

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A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

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Q: Find the gradient off and then evaluate the gradient at the point P. a. f(x, y) = x/y, P = (2, 1).…

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Q: Use the indicated substitution to evaluate the integral. 17/2 rdz 289 17/2 1. x = 17 sin t x²dx √289…

A: To evaluate the given integral.

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Q: 7. State the domain and range of each function. A) ƒ(x)=(x−1)²

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Q: onsider the following. f(x) = x³ - 3x² + 8 (a) Find f'(x) and f"(x). F"(x)

A: Solve for the derivative

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Q: (D4 + 2D³ - 3D² - 4D + 4)y=0

A: (D⁴+2D³-3D²-4D+4)y=0 So, D⁴+2D³-3D²-4D+4=0

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Q: t) = 80,000e.05t, where t is the number of years after 1990. a. How many dollars per year will the…

A: Topic:- algebra and calculus

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Q: 7- 7+3 7-2 + 3 北

A: Solution ) ( y + 3 )/( y - 2 ) + ( y - 3 )/( y + 1 )  L.C.M. of ( y - 2 ) ( y + 1) = ( y - 2 ) ( y +…

Q: The fourteenth question: We suppose that {f: {1, 2, 3} → {a, b is a defined function as follows:…

A: We have to find the value of function.  Given data is -  f(1)=a  f(2)=b  f(3)=c  g(a)=5  g(b)=7

Q: 2 (4-X) ² 36 What is the Solution Set?

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Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) d…

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Q: 12x5-9x³ + 8x² - 4x 4x³ - 3x + 1 dx

A: The given integral is: I=∫12x5-9x3+8x2-4x4x3-3x+1dx   As we know the Power rule;…

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A: Given, 5x3;x3;72x

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Q: 5) Which of the following products can be used to solve the systems of linear equations below? 3x -…

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration 1. -2 x² +16 dr

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Q: 2 e dx = O 2 e In 2 O + c O 2 e + c 2 e 1+ In 2 O (2 e In 2) + c + c

A: We have to solve the integration

Q: Let F(t)=4t^4i−2sin(3t)j+2e^(5t)k and G(t)=−2cos(2t)i+j+4/t^4k,find F(t)⋅G(t)

A: Let's find F(t)•G(t).

Q: Hi. It's kind of hard to understand the transcript. Do you have a handwritten solution? Thanks

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Q: 1 -dx Evaluate: J- 2 2 - 6x +8 +C |x-4 2 x-2 B. In|(x-4)(x-2) +C A. In 1, C. In x=2+C 2 X+4 D. In…

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Q: Then (fog)(x) = (fog)-¹(x) = (f ¹ og ¹)(x) = (g-¹ of ¹)(x) = f(x)=x+4 and g(x) = 2x - 5.

A:

Q: The graph of a function f is shown. 800 400 20 40 60 (a) Find the average rate of change of f on the…

A: we need to answer the questions from the graph.

Q: What is the solution of 3x² + 6xy2 + (6x²y + 4y²) y = 0 ? O 3x³ + 9x²y² + 4y³ = C O 3x² + 12x²y² +…

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Q: lim f(x) = ∞o 8118 Which of the parent functions exhibit the end behavior shown to the left? (note:…

A: graph of y=x;   y=x^2;   y=x^3;   y=1/x;

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Q: Find an equation of the line that contains the given pair of points (13, 18), (0,5)

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Q: 1. Evaluate the following integrals ·16 /1+√√x √T dx x+√√xn-m a) 16 b) f dx where m and n are…

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Q: Use an appropriate table of values to find lim h->0 b^h-1/h where b = 48, accurate to four…

A: The given limit limh→0bh-1h We need to find the limit for b=48

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A: Let's solve.

Q: =1 Find hat such that fal= (h ol F(x) = √x +13 -4 g(x) = 8x + Suppose that g(x) h(x) =

A: Topic:- calculus

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A:

Q: III. Eliminate the arbitrary constants of y = c₁ cos3x + c₂sin3x.

A: Given function, y=C1cos(3x)+C2sin(3x)