Estimate the indicated derivative by any method. (Round your answer to three decimal places.) dy y = 2 - x²; estimate dx x = 2

Q: y = x²+4' at x = 2

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Q: 5. Rationalize the numerator to evaluate the limit. Be sure to show all your √³+49-7 h³ Q(²) = 0 lim…

A: First of all we will rationalize the numerator then we will apply the limits

Q: Q6 Q7 Which of the following series is converges 34-1 Α) ΣΕ If limu, 0 then the series Eu C)…

A: p-series Test : Consider the series              ∑k=0∞ 1kp = 11p+12p+13p+...+1kp+...Then,(i) If p≤1…

Q: I need the correct answer for all of them please.

A: Here we have to find the local and absolute extrema.

Q: (d) x4 - 6x³+72x²-x-2=0

A: Topic = Polynomials

Q: Q16 Find of y-In(In(e)) A))))

A: 16)y=ln(ln(ex)).

Q: What is the general solution of the differential equation 2y"+y' - 6y=0? A There is no correct…

A: Here we have given a differential equation. The auxiliary equation will be given as  2m2 + m - 6 = 0…

Q: Let L₁ : x=1+t, y=−2+t, z = 2t; L₂ : x=2+s, y=3-s, z = s If the lines are skew, find the equations…

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Q: Solve for Auxiliary Equation

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Q: Which of the following is an integrating factor for the differential equation dy/dx-y=1? A 2e B In x

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Q: 33. f(0) is undefined. lim f(x) = 4 x-0 ƒ(2) = 6 lim f(x) = 3 x-2

A: This is a problem related to graph of the limit function. Please follow the procedure given below.

Q: Find the domain and range of the function: f(x) = 3x, f(x) = 6x, −7 ≤ x ≤ 2, f(x) = 6x2…

A: Find the domain and range of the function.

Q: In the example below, Lisa has created a spreadsheet for monthly budget. Data are entered into cells…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: x1 + x₂ 5x1 + 6x2 || 9

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Q: Prob 4 Evaluate Лет x→∞0 lim x-00 orctan (ex) 4-ex 1+20x and

A: 1) L=limx→∞arctan(ex) Direct substituting the limit:   L=arctan(e∞) e∞=∞ So, L=arctan(∞) We know…

Q: Question 7 What is the auxiliary equation associated with the differential equation y'"'- 3y + 4y=0?…

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Q: In Problems 1 and 2, y = 1/(1+cie) is a one-parameter family of solutions of the first-order DE y'=…

A: Given y'=y-y2 y0=-13

Q: Is the differential equation y2dx + 2xydy=0 exact? A NO B YES

A: To determine whether the given differential equation is exact or not.

Q: Sketch the graph of the function by first making a table of val f(x) = 3 + √x x 0 1 4 9 16 25 f(x) =…

A: Given: f(x)= 3+√x

Q: (c) lim 818 75-8 2x³ +3

A: Topic = Limits

Q: Question 9 Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x? A B y=ce²x y = 3x + C…

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Q: Which of the following is the differential equation of the family of parabolas with vertex on the…

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Q: The differential equation 3 (3x2 + y2) dx-2xydy=0 is homogeneous of what degree? B 2 3 1

A: The explanation of answer as follows

Q: What is the auxiliary equation associated with the differential equation y'''- 3y"+4y=0? (A m³-3m² +…

A: Solution

Q: Q3 Q4 The sequence A) increasing The value - ing 1) strictly increasing D) eventually strictly…

A: We need to choose correct option.

Q: Q14 The value of lim(e* + x)² (B) - A) 2 B) e B(1,9⁰) C)e* D) e² C)(-4,-1) D) (-C(L)

A: We have to evaluate: limx→0ex+x1x

Q: question 9. y" + 20y' + 64y = 60e-4x answer 9. y = e-4x (5x + C₁) + C₂e-16 -16x

A: Topic:- application of integration and solution of differential equations

Q: Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have…

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Q: Find the x- and y-intercepts of the graph of the equation. (If an 9x² - y² = 144 (x, y) =…

A: The given equation is 9x2-y2=144 To find: we have to find the x and y intercepts of the graph.

Q: Find the next term of the sequence: 2, 4, 8, 16, 32,

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Q: 4) w(x) = -3x - 4; Find w(7) 4-2, Find 6) g(n)=n² + 2; Find g(3)

A: (4) The function is given by wx = -3x-4 6) The function is given by gn = n2+2 To evaluate: The value…

Q: The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. 1 2 8…

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Q: Sketch the graph of the function by first making a tab f(x) = -x + 5, -5 ≤x≤5 f(x) = -x + 5 X -5 -4…

A: Given:-f(x)=-x+5-5≤x≤5nowf(-5)=--5+5=10f(-4)=--4+5=9f(0)=-0+5=5f(1)=-1+5=4f(4)=-4+5=1f(5)=-5+5=0…

Q: 1) h(n) = 3n; Find h(6)

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Q: 23. fsin(Inx) dx = x A) cos(In x) + c. B)-cos(In x) + c. C) sin(lnx) + c. D) -sin(In x) + c. E) -cos…

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Q: Sesin x cos x - acos 2x sin 2x)dx

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Q: Which term of the arithmetic sequence 1, 10, 19, 28, ... is 2802

A: we will find the required.

Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x.

A: Topic = Area

Q: (a) x³ - 2x²-3x-2=0

A: Topic = Polynomials

Q: Let f(x)=3x+8, x₁ = 2, X₂ = 5, x3 = 8, x4 = 11, and Ax=3. 4 (8) Find Σ 1 (x) Δ.Χ. i=1 (b) The sum in…

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Q: Find the center and radius of the circle. (x + 5)2 + (y - 3)² = 4 (x, y) = ( center radius Cleotab…

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Q: For a binomial distribution with p = .10 and n = 100, what is the z-score corresponding to X = 16?…

A: Ans. =2  For detail...go through the solution...I have solved in detail

Q: Which is equivalent to Inly1 = 3x + Cwhen y is solved in terms of x? A B C D y=Cg ³x y = 3x y=e³x+C…

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Q: Find the x-value at which f is discontinuous and determine whether f is continuous from the right,…

A: Please see the below picture for detailed solution.

Q: Evaluate the integrals (3) xlnxdx

A: We need to evaluate the following integral ∫xlnxdx

Q: The differential equation 3 (3x² + y2) dx-2xydy=0 is homogeneous of what degree? A) 4 3 (C) 1 2

A: The explanation of answer as follows

Q: Find the unit tangent vector at the indicated point of the vector function 11t 11t 11t costi + e¹¹t…

A: Given rt=e11tcost i^+e11tsint j^+e11t k^

Q: Solve the differential equation A) Iny=c B In c-y = x In y -x = c (D) x + Iny=c dy dx =y Continue

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Q: Given the function f(x, y, z) = (sinx)(cosy)(ln z), find the total derivative with respect to x,…

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Q: Which of the following is an integrating factor for the differential equation dy/dx=y=1?

A: Given: dy/dx-y=1. Find: Integrating Factor. Differential equation in form of dy/dx+Py=Q. Where P…