Write an equation for a rational function with: Vertical asymptotes of x = 6 and x = 7 x intercepts at (4,0) and (3,0) y intercept at (0,3) Use y as the output variable. You may leave your answer in factored form.

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Q: b) F(t) = (31-1)) (2r + 1)-³

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A: Given;  F=x4y+y2z3 x=rset, y=r2e-t, z=r2s sint.

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Q: 2. (a) Sketch the graph of y = f'(x) given the graph of y = f(x). (b) Specify the domain and range…

A: Graph

Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

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A: Given query is to find equation of the tangent line.

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A: given  z=2x2-3y22x2-3y2-z=0f(x,y,z)=2x2-3y2-zequation of tangent plane is…

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A: Here we have to solve the differential equation.

Q: an you please do part C of the question?

A: Given:- hx=-0.046x2+0.364x

Q: b) F(t) = (31-1))* (2r + 1)-3

A: Given query is to find the derivative.

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Q: Use the Product Rule to find the derivative of f. f(x) = sin(x) cos(x) ƒ'(x) = ←

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Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Find the limit. (If an answer does not exist, enter DNE.) x² lim x → 3 - 9x + 18 x - 3

A: We can find limit .

Q: dy dx dy dx dy dar || √x² +6 2 x² +6 2 1 2 √x² +6 6x - 6 x(x+6) √x²+6 3 x(x+6) 3 (x²+6) ²

A: The 2nd step is wrong in this question.

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Q: c) (s) e-2 d dt

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Q: 4. Given f(x)=√x and g(x)=√x: State the domain off and g. a. b. Why are the domains different?

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Q: 9. Evaluate the discriminant and determine the number and type of solutions of the equation.…

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Q: 16x²64x25y² + 150y - 161 = 400 a) Distance between the foci b) Center c) Equation of the transverse…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

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A: Given query is to find the derivative.

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A: Note:- Since you asked multiple questions as per our policy we can solve first question for you…

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Q: y = log₂ (sec(x))

A: Given query is to find the derivative.

Q: 78. Practice with tabular integration Evaluate the following integrals using tabular integration…

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

Q: Find the horizontal and vertical asymptotes of the curve. (Enter your answ 3ex ex - 9 X || y = f(x):…

A: Given: fx=3exex-9 As we know that, To calculate the vertical asymptote, equate denominator to zero…

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A: given :r=2cos3θ

Q: Perform the indicated operations and simplify your answers. i. -(60-301)

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

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Q: Att An engineer is building experimental, dome-shaped living quarters 388 m high and modeled by the…

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