Complete the table below. Assume ƒ and g are one-to-one functions. x -10 6 g(x) (fog)(x) (gof)(x) 7 -10 6 12 7 7 7 12 12 12 -10 12

Q: 4 3 1 -1 -2 -3. -5 п/2 25 3п/2 2п

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Q: (C) Find the domain and range of: 1) y = x+1 . 2)y=v1-x²,3)y = x² - 2

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Q: f(2cot 2x² - 2e²) dx

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Q: 1. Eliminate the arbitrary constant. y² = 4C (x + C) 2. Obtain the general solution. (Let 2C=C) (4x…

A: As per policy only first question is answered. Please refer to the image below

Q: Iff (x) = f x² dx, what is f' (d)? Let a = 6 and d = 16.

A: Given that fx=∫axx2dx we have to find the value of f'd, for a=6 and d=16 use the formulas:…

Q: Evaluate each limit or state it does not exist a) lim 6x²-5x-1 x →1 2x² - x - 1 b). x²³_8 lim X-2…

A: a3 - b3 = (a-b)(a2+ab+b2)

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: 2. Eliminate the arbitrary constants of the equation below, where ß is a parameter. 4 x = C₁eßt + C₂…

A: To find- Eliminate the arbitrary constants of the equation below, where β is a parameter. x = c1eβt…

Q: 6. Write the following power functions in the form f(x) = kx² a. f(x) = -³/3 x3 b. f(x) = ³² c.…

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Q: Show the complete solutions. Family of circles centered at the line y = 2x. Ans: y" (y-2x) + 2(y')³…

A: To find out the differential equation for the family of circles having centre on the line y=2x.

Q: 1. Solve the Differential Equations. (3x² - 2y²) y' = 2xy

A: Ode

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Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly…

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Q: Find the first few terms of the Maclaurin series of the function f(x)=esin(x)

A: The given function is fx=esinx we have to find the Maclaurin series for fx Maclaurin series:…

Q: For the function f(x) = 6x² *, evaluate and fully simplify each of the following. f(x + h) =…

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Q: Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (1)(x).…

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Q: Toflow (2) y = √sinh √tan x

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Q: Prove that: B(x+1; y ) + B (x₂y + 1) = B(x,y) let (x+1)= X5 (X)

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Q: 8. (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5…

A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D<0so, this quadratic…

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Q: Find the inverse of f(x) = 2/(x2+1) where x is greater than or equal to 1. State the domain and…

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Q: ketch the points p/2, 3, 34,4/2,3,1-3 and R (-2,3, 2)

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Q: 30. dy dt t y-12y y(0) = 4

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Q: Q2: Find dy/dx for the following functions:- (1)y=x'Inx (2) y = √sinh √tanx (3)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find any relative extrema of the function. (Round your answers to three decimal places. f(x)=…

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Q: -22 the x-axis, x=-1, and x = 1. Use Define R as the region that is bounded by the graph of the…

A: The region R is bounded by the graph of fx=1-x22, the x-axis, x=-1, x=1 The solid is formed by…

Q: v − 1) dx + (x + 1) dv=0. If v= 2 when x = 1 determine v when x =

A: The given differential equation is; x(y+1)dx+(x+1)dy=0

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A: we have to find parametrization of circle.

Q: Considering the definition of f(x) below, find lim f(x). (If the limit does not exist, enter Ø.)…

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Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Q6. Let O(0,0), A(1,0), B(1,4) be points in the plane R². Then the following point lies in the…

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

Q: Consider a revenue function defined as R(x) = At what value of x is the rate of change of revenue at…

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Q: Find the volume of the solid obtained by revolving about the y-axis the region bounded by 2 - √r²+1…

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Q: Prove that: B(x+1; y ) + B (x,y+1)= B(x,y) let (x + 1) = X(X)

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Q: Question Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is…

A: Here we have to find the volume of a region when revolved about y axis.

Q: Question The base formed by slicing through the center of a solid S is the ellipse + y² = 1. The…

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Q: Let f(x) = √x + 6. Calculate the difference quotient f(10+h)-f(10) for h h = .1 h = h= h = .1 If…

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Q: Find the volume of the solid obtained by revolving about the x-axis the region between y = 2x and…

A: Given curves:- y=2x and y=x2

Q: n 4 3 2 1 -1 -2 -5 15/2 Find lim π Find lim f(x): ² → ( ²7 ) + 3π/2 The graph of the function f(x) =…

A: Given, f(x) = sec(x)

Q: 46. lim h→0 (x + h)³ - x³ h bluow

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: The following image shows the graph of the function f(x)=√√4-x² A -2 B 6.27 square units 7.5 square…

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Q: Several vectors in the x-y plane are shown in the figure with their tails at the origin of the…

A: NOTE: Refresh your page if you can't see any equations. . the given vectors are

Q: 5-4 TIME FOR A LUMP SUM TO DOUBLE. If you deposit money today in an account that pays 4% annual…

A: On solving this we will get

Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

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Q: Find

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Q: 7. f(¹) where f(x) = *-1 x

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