Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not exist (a) lim f(x) X→ 2- 3 (b) lim f(x) x → 2+ 1 (c) lim_ f(x) (e) X→ 2 DNE (d) f(2) 2 lim f(x) X→ 4 4 (f) f(4) 4 X YA 4 2 0 2 4 x

Q: Does it mean that the limit of the function 2y + [[2-y]] / y^2 + y -2 as x approaches -2 from the…

A: limx→a+f(x) represents the Right hand limit )L.H.L)and  limx→a-f(x) represents the Left Hand limit…

Q: 4. y = A + Bx + Cx² + 2x³

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Q: Find all points on the curve y = 10 tan x,-/2<x</2, where the tangent line is parallel to the line…

A: Let's find point of tangent.

Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

A:

Q: Find the horizontal asymptotes of g. g(t) = 10 13+ 4-1 (Give your answer as a comma-separated list…

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Q: -y = 16x³ + 4√x +5x

A: Given  y = 16x3 + 4x + 5x We have to evaluate the derivative of this.   We know that ddxxn = n·xn-1

Q: = Find two unit vectors orthogonal to both u = (3, -3, - 4) and 7 values (no decimals). Separate the…

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Q: 7. Graph y = 3sec(x+π) - 1 Determine the following: Domain Range Amplitude Period Frequency

A: Topic:- calculus

Q: Question Find the equation of the horizontal line that contains the point (–9, 1). Provide your…

A: We can find the answer in the below steps.

Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

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Q: 1- L-1 6S-4 S²-4 S+16 2 (

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Q: Given that f(x) = x¹²h(x) h(1) = 3 h'(-1) = 6 Calculate f'(-1). Hint: Use the product rule and the…

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Q: Find k so that the function f(x)= 2x+5 if x ≤2 kx +1 if x > 2 can be defined so that it will be a…

A: Given function, f(x)=2x+5               if x≤2kx+1                if x&gt;2

Q: 3. x²-3 2 x² + x ૨૨ IV 1

A: Please see the below picture for detailed solution.

Q: (dz) dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

A:

Q: Evaluate_lim_ (√√9x² − 5x+1+3x).

A: Replace x with -a and then go ahead.

Q: The interval(s) on which f is increasing is/are

A: A function is said to be increasing on (a,b) iff graph of the function is moving upwards on (a,b).

Q: x 6 ♥ 5.5 5.1 5.01 f(x) Based on ONLY the table of values above, what conclusion c lim f(x) = 10.…

A: Topic:- application of derivatives and limits

Q: inverse function

A: Given, y=cos-1sin 6x

Q: Find a parabola with equation y = ax^2 + bx + c that has slope 10 at x = 1, slop -18 at x = -1 and…

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Q: Decompose 2x + 5 2x2 - 11x +5

A: A detailed solution is given below.

Q: Given that f(x) = x² - 9x and g(x) = x -9, find: a) (fog)(3)- b) (gof)(3)=

A:

Q: 2y + [[2-y]] -m √→-2²¯ y² + y -2 lim 2y + [[2-y]] Y→-2+ y² +y-2

A: Topic:- application of limits

Q: 1. S. dx 1 2 x² e² ex

A:

Q: Evaluate lim (√9x² V92 _5 +1+ 5x+1+3x). - x418

A: Find limit of function

Q: 4x−³+2 3 8. S ² X - 2 - X dx

A: Given :∫4x-3+2x-2-xdx

Q: type of radioactive element has a daily radioactive decay rate of 0.9%. If 11 pounds of this element…

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Q: Consider the graph of  (10 − x)y2 = x3. Find the slope of the graph at the given point.

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Q: Solve the problem. dP =kP+N, where N is a constant representing the net The rate of growth of a…

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Q: 5t Find the equation of the tangents to the curve y = sin x at x = 0, л, and . Graph the curve over…

A: Please see the below picture for detailed solution.

Q: The x-coordinate of a particle in curvilinear motion is given by x = 4.9t³-5.2t where x is in feet…

A: We have to find v and a.

Q: Evaluate each limit, if it exists: x²-4 a)lim 22-4 X-2 1-x² b)lim x-1 1-x x²-4x x-0 x(x-1) c) lim

A: Here we have to find the limit of the functions.

Q: The nuclear waste from a nuclear power plant decays at a rate of 44% each century. If 60 pounds of…

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Q: Find the equation of the plane that passes through the points (1, 0, -1), (0, 2, 3), and (0, 0, 5)…

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Q: A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine…

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Q: 2y + [[ 2-y]] lim Y>-2- y² +Y-2 lim Y→-2+ 2y + [[2-y]] y² +y-2

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Q: Given f (x) below, select ALL of the true statements. lim, 4+ f(x) = 1 lim-4 f (x) = 1 lim, 4- f (x)…

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Q: 8. Find z₁ if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t = 516

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Q: The half-life of freshly-baked brownies at your house is 18 hours. If 200 brownies were present…

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Q: Evaluate lim 1 1-2x X-3 x-3

A: Here we have to use the concept of limits

Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

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Q: 2. Evaluate the following limit. * 1 4 +1+ X lim x-4 4+x

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Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

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Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: The point P(9, 6) lies on the curve y = √x + 3. 6.1 6 5.9 8.5 9.5 10 Q If Q is the point (x, √x +…

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Q: 8. Find the yearly interest rate (r) which, compounded monthly, would produce an annual percentage…

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Q: 1

A: Given At=te-kt

Q: Find the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² The…

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Q: Exercise 1 Find the differential equations of the following by eliminating the arbitrary constants:…

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

Q: 10. 2/3 5² √4-9x² dx

A: As per our guidelines we are suppose to answer only one question, kindly rest can be reposted.…