1 y = f(x) EV 5 4 3 لیا 2- 1 y 0 1 2 lim z 6 lim z 3+ f(x) = f(x) = 3 Enter each answer as a whole number (like -4, 0, or 253) or DNE for undefined or Does Not Exist. f(1) = lim f(x) = 2-5 4 5 6 7 X 89

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A: Suppose f(x)=4/x-2,   f'(5)= ____   Use this to find the equation of the tangent line to the curve…

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A: line  y - 4x +3 = 0   find slope

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A: The given function is; f(t)=13+cost a) [- pi, - pi/2] b) [0,2pi].

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A: Here we have to find derivative

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A: Topic: Limit and Continuity     The answer is given below:

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A: Let's solve for function.

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Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 1.…

A: Given y=x3x-14 and point 2,8

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A: Topic = Functions

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A: cos(2x) = 1-2sin2(x)

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Q: Find a. b. C. d. e. f. g. lim x-3 lim x0 lim x → 0+ lim x10 lim x2 f(x) h. f(2) f (x) f (x) f (x)…

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A: Find the equation of the line.  Horizontal​ line; through(6,-6)

Q: 1. Given the algebraic function x² - xy + y² = 3 b. Find y 3xy - 3y (2y + x)² Option 1 3xy + 3y (2y…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: given that,y=x5(1+2x)7 we know that, derivative formulas: (uv)'=uv'+vu' ddx(xn)=nxn-1

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A: The population of a town is increasing at a rate given by P't=42e0.018t, where P is the population t…

Q: 89. y √3+ Vy 1- √5 3 √r + √2 5 95. Vx² + 1 - x 91. 91-96 Rationalize Numerator Rationalize the…

A: 94) [sqrt(x)-sqrt(x+h)]/[h sqrt(x) sqrt(x+h)].   95) sqrt(x2+1) -x 96) sqrt(x+1) - sqrt(x).

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A: Solution is here

Q: What is the derivative of f(x)= xe ?

A: To find the derivative.

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Q: c) lim 818 sin(x+3)

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A: Concept: Partial derivative: Let's say we have a function f(x, y) that depends on the values of two…

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A: Let's find partial differentiation at given point.

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A: In such type of problem we generally use the pythagoras triangle rule . ie.x2+y2=z2

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Explanation of the answer is as follows

Q: I. Find the slope of the tangent line m and the equations of tangent line and normal line at the…

A: To find the equation of tangent line &amp; normal line.