Use the relation lim 0-0 lim X-0 tan (10x) X sin Ꮎ Ꮎ = 1 to determine the limit.

Q: Find lim f(x) and lim f(x) for the given function and value of c. X-C* X-C™ f(x) = (x+8) lim (x+8)…

A: The given function is:f(x)=x+8x+3x+3 ;         c=-3

Q: Div x²-3x + 7 X-2

A: We will use synthetic division to find quotient and remainder.

Q: ↑ Using actual and projected data from 2000 through 2050, the number of millions of white…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: find zeroes of x^3-3x^2-13x+15

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Q: (a) Complete the table below given f (x) Round your answers to four decimal places. H -1.1 f(z)…

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Q: Let f(x) = (4sin x + 6 cos x)tan7 f'(x) = X

A: given f(x) = ( 4sinx + 6 cosx ) tan-1(x)f'(x) = ddx(4sinx + 6cosx )tan-1(x)f'(u.v) = udvdx + vdudx

Q: Find and classify the critical points of the function: f(x,y) = x² + y² + 2xy-6x - 3y +4

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Q: 1. Let f(x) = x² and g(x)=√x+1. (a) Find f g and its domain. (b) (c) Find and its domain. 9 Find f +…

A: Given functions are fx=x2, gx=x+1 We need to find the following using the given function, f·g and…

Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 77 6 - 1 00…

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Q: nx + 2y = xy+1 (n is a constant) dx Answer: Cx2 y + xyn - 1 = .0.

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Q: State the exact value of all six trigonometric function values of 3, given that a = 33 m and b = 56…

A: a= 33 m  b= 56 m  this is right angle triangle is given  so we can find other side  c2 =a2+b2 c2 =…

Q: en f(x) = Determine on which intervals f(x) is increasing. x-2 ex

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find a function that satisfies the given conditions and sketch its graph. lim f(x)=0, lim f(x) = ∞,…

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Q: The function s(t) describes the position of a particle moving along a coordinate line, where s is in…

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Q: 00)Let j(x) = x³ + 5x² +81x + 405. It is known that x = -5 is one of the zeros of j(x). Read each…

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Q: d Talon all asymptotes and intercepts are shown and that the graph has no "holes". The gr Assume Use…

A: Given query is to find the characteristics of the graph.

Q: What is the range of the function f(x) = 2 - 3x if the domain is x ≥ 0? (A) f(x) ≥ 0 (B) f(x) ER…

A: To find the range of the given function.

Q: At 8:30 a.m., a coroner was called to the home of a person who had died during the night. In order…

A:

Q: What is the reason for doing u = e^lnu? How does that work?

A: We can solve this as follows:

Q: At what points is the function y = x + 4 2 x² - 6x +8 continuous? Describe the set of x-values where…

A: To determine the interval in which the given function is continuous

Q: Sin (x-7/2₂

A: Sol we have trigonometry function

Q: QUESTION 3 2-1 Find parametric equation of line == +2 22=2²=== y + 3z = 23 Hence find its…

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Q: The function f(x) = 3 - 2x is defined for the given domain -2 ≤ x ≤ 2. What is the range? (A)7 ≤…

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Q: 2 If √10-3x² ≤ f(x) ≤ √√10-x² for -1 ≤x≤ 1, find lim f(x). X-0 lim_ f(x) = X-0 (Type an exact…

A: To find the limit of the function.

Q: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the…

A: Given data:- The voltage V (volts), current I (amperes) and resistance R (ohms) of an electric…

Q: 4. A ceramic insulator is baked at 400C° and cooled in a room in which the temperature is 25C°.…

A: Concept: The formula used is the rate of cooling dθdt=k(θ-θ0) Here θ is the temperature of the body…

Q: The integral in this exercise converges. Evaluate the integral without using a 00 Ĵ -∞ S -8 2x dx 6…

A: Given query is to find the value of the integral.

Q: lim ex x 0x = ex lim x-0 1 LHR = 1 1 = 1. Think carefully about the conditions for l'Hôpital's rule…

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Q: 2. Sketch the graph of the given function, evaluate the given expression. , -1 < x < 0, x-2,0≤x≤ 2,…

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Q: Determine the singular points of the given differential equation. Classify each singular point as…

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Q: 26. Solve. -8+ X = logs(x + 4) = - 6 حل المعادلة التالية:

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Q: 7.1. Find f'(z) when z-1 2z+1 (a). f(z) = (c). f(z) = (z-1/2), (z = 0), (1+z²)4 (b). f(z) = e²³,…

A: Topic = Derivative

Q: 27. If = xy² 7-2x²yz7-3yz² find curl 7 at the point (1,-1, 1)

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Q: 1. Suppose a population of insects increases according to the law of exponential growth. There were…

A: Given that the population of insects increase according to exponential model.

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

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Q: Determine where the function is concave downwar h(t) 125 #l

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: To find the equation of tangent line to the given curve.

Q: Approximate the change in the volume of a right circular cylinder of fixed radius r = 20 cm when its…

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Q: please find the area

A: Let's find shaded area.

Q: 9. A store sells about 360 calculators per year. It would cost the store $8 to store one calculator…

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Q: Factoring this, we get F(x)=2x3+24x+12x3² + 12x + 6). Since is never 0, then F(x)=0 when x² 12x+6=0,…

A: Given:- f''x=2x-3+24x-4+12x-5

Q: Find all real zeros of the function f(x)=12x^3−23x^2+13x−2. Given x−1 is a factor of f(x) Enter the…

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Q: Recall that the logistic model can be written in the form a) Give the formulas for finding the…

A: We have to find carrying capacity and growth rate, by comparing the logistics model formula to the…

Q: d (sin(x) dx cos(x), sec²(x) csc²(x) 2 sin(x)cos(x) cos²(x) cos²(x)-sin²(x) cos²(x) n cosx - simx a…

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Q: g(x) h(x) F(x) G(x) 4 7 9 6 4 2 387826 5 4 5 6 7 3 12 748 7 Which of these functions is one-to-one?…

A: By using one to one function concept

Q: Question 9 Suppose a binary message word is to encoded using repetition code where every bit is to…

A: Solve this question, as given below.

Q: Evaluate

A: b) Given sinπ6π6=π6×180ππ6=30°sinπ6=sin30°sin(π6)=12

Q: Determine where the function is concave upwa f(x)= x² 2 x²-1

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Q: Choose the correct option for the following two statements and provide justification for your…

A: Please see the below picture for detailed solution.