MTH 32 (13) Define the Inverse Tangent function (or the art and explain the --- MTH 32 (8) For b> 1, the function f(x) = b' is an (9) For 0 < b < 1, the function f(x) = b is a (10) The horizontal asymptote for the graph of f(r) = b, b>0, b1 is (11) The y-intercept for the graph of f(x) = b, b>0,b #1 is (12) If a > 1, then lima* = and lim,- a (13) If 0 < a < 1, then lim, a and lim,--∞ = (14) Find lim,x(3-2x + 2). function. function. (15) For the exponential function f(x) = a, a>0, a 1, use limits to describe • f'(0) 40

Q: 16) If Sin A = where 0 < A <; 2 12 Cos B = where 13 < B < 2n 2 then find the value of ... Cos 2B Sin…

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A: Given: y=4x3+32   . . . (1) We have to find the equation of the tangent line to the graph of the…

Q: sketch the curve, solve it's symmetry, assymptote, inflectionpoints (using derivatives) Y= (x2-4)2…

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A: Please see the explanation below..

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A: Step 1:Step 2:Step 3: Step 4:

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Graph of polynomial f(x)

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Q: 2) Find the tangent equation for the function f(x) = x² + 5x at the point (1,4). *****: **********

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Q: Pls help ASAP

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Q: Find the derivative of the transcendental function. y' = y = 6e* x² +8 6(x²–2x+8)ex (x+8)²

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Q: y=/(x) -3 -1 3. ****

A: Given , the graph of                            y=f(x)

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A: Explanation of the answer is as follows

Q: Q3/ Sketch the graph of f(x) Q4/ By using the definition of the derivative, find dy/dx for y tan x.

A: (3) The graph for x2x+1 is, At x=0 then f(x)=0. At x=-2 then f(x)=-1 At x=1, f(x)=0.5 At x=2,…

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A: We have to find the equation of new function in terms of f(x).

Q: Find the equation of all its vertical asymptotes given the cosecant function y = csc 2 csc-) 3.

A: The given function is y=cscx2-π3. Obtain the vertical asymptotes by solving sinx2-π3=0 as follows.

Q: sketch the curve, solve it's symmetry, assymptote, inflectionpoints (using derivatives) Y= x2 e-x

A: The symmetry of a function can be about y-axis , x- axis or about origin. A function is symmetric…