Use the given graph of f to find a number 8 such that if 0 < |x - 3| ≤ & then [f(x) − 2| < 0.5. y 8 = 2.5 2 1.5 2.6 3 3.8 X

Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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Q: 5(x - 2)²/3. For this function there are two important intervals: (-∞, A) and (A, ∞) where A is a…

A: The objective of the question is choose the correct option.

Q: 7. Use the given information to find the indicated probability. P(C) -0.6, P(B)-0.5, P (CUB)-0.7,…

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Q: y" - 4y"+y' + 6y=0

A: need to find out the solution of the differential equation.

Q: Find the equation of the tangent line to 7x² -5xy + y² = 3 at the point ts)

A: Need to find out the equation of the tangent line.

Q: = mx + b, f(-2) = 3, and f (4) = 1 What is the value of b? 04 011 3 73 01 0-1/

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Q: Given that lim (2x - 7) = 1, illustrate this definition by finding the largest values of 8 that…

A: Use epsilon and delta definitions of limit.

Q: Solve the cystem of non lincar inequalities {y <(x-1)² Graph y ≤ lay 2 (x) y = x² Table:…

A: Let's solve system non linear inequalities.

Q: #solve the following lup x²=-2x-y Misob & chris y'= 6x-78 y (o) = 7 x(0)=3 Then find x(0.25) to at…

A: Given system x'=-2x-yy'=6x-7yand   givn condition x(0)=3  and   y(0)=7

Q: te a polynomial with degree 4 that has a zero at x = tiplicity of two. Write the function using only…

A: Given query is to find the function.

Q: lim(x,y) aproaches (0,0) (3x3y)/(x6+y2)

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Q: (b) lim ex xxx

A: Let's evaluate the given limit.

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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: Önsider the integral 9 S² = the integral is divergent, type an upper-case "D". Otherwise, evaluate…

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

Q: Using the definition of limit, show that lim n →∞ 1 / n 5  = 0 and that lim n →∞ 1 / n 1/5  = 0.

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Q: Find the limit of the rational function (a) as x→∞ and (b) as x→→∞0. 3x5+7 2 X-X+X+7 f(x) = a. lim 5…

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Q: Find dy by implicit differentiation. x² x+y dx 11 = y² + 5

A: Given query is to find the derivative.

Q: Find the slopes of the curve 3 4 irve y4=y2-x² at the two points shown here. 1 2 √3 2 Q 57 The slope…

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Q: #8) (modified) Strontium-90 has a half-life of 30 days. a. A sample has a mass of 50 mg initially.…

A: **As per our guidelines, we are supposed to answer only first 3 subpartsof a question. So, we will…

Q: DIJ х2 -3x+7 х-2

A: Using long division we divide the expression

Q: You are a lifeguard and spot a drowning child 40 meters along the shore and 50 meters from the shore…

A: Distance along the shore= 40m Distance from the shore= 50m Run speed = 4 m/sec  Swim speed = 0.9…

Q: Which of the following is the derivative of ƒ(x) = = Select one alternative: d d ○ f'(x) = sin(2x)——…

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Q: 14 Friday 5x² + 6y² = 9 2

A: Given query is to find the derivative of the expression.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: Solve the given intregal

Q: 1≤ 0≤36 arcsin (~1²3/2)

A: The objective of the question is evaluate the value.

Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2−i, that passes through…

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Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots at x = 0 and x =…

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Q: Write a function in any form that would match the graph shown below. 10 8 Answer: f(x)= -2 20 16 12…

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

Q: f(x) = (x+4)(x+2)(x - 1)(x-4) 9-6-6-of-, X 100 06 80 70 60 50 lob of L & E 08 10 01- -20 of ob os.…

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Q: 47-56. Derivatives of inverse functions at a point Consider the following functions. In each case,…

A: f(x)=log103x  ; 0,13 We have to find, ddxf-1(0)

Q: 4. A function f has the following verbal description: multiply by 3, add 5, and then take the third…

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Q: For what value of a is the following function continuous at every x? a ²x-2a, x≥2 24, x<2 f(x) =…

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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: 5. f'(x) does not exist for x = A. 1 only B. 1 and 2 C. 2 and 6 D. 0, 1, 2, and 6

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Q: Differentiate f(x) = 5(6x8-8x6) ¹0. You do not need to expand your answer. f'(x) = Factor out the…

A: ddxxn=nxn-1

Q: Differentiate a. Y = y the following 1 x² + x² +1 b. g(u) = √ 24 +√√√3u functions

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Q: Find the local quadratic approximation of f(x) = x³ to find the approximation of 1.03³ at xo = 1,…

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 3n 201 3n…

A: Use the comparisonn test

Q: Find the indefinite integral. (Use C for the constant of integration.) Sinces In(e8x - 5) dx

A: Here we have to find the integral.

Q: Q6 (402onsider the polynomial f(x) = (x-a)³(x - b)²(x - c), for real numbers a, b, and c. Read each…

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Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: solutions:-x2+xy-y2=11differentiate both sides w.r.t  xddxx2+ddxxy-ddxy2=ddx112x+y+xdydx-2ydydx=0at…

Q: Suppose that f is a function with f'(6) = 0 and f''(6) = 2. O Then f has a relative maximum at x =…

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Q: System of linear equation + 2y + 2z = 12 X 3х - зу x by -3y - 2z = -9 +y +2₂=7

A: Given : Gauss-Jordan Elimination method

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

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Q: s that a 10 on the top of the fraction?

A: To  confirm we calculate again

Q: 2) Find the exact value of sin-¹ (sin 9T 8 .You must show all your work.

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

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Q: A patient's pulse measures 63 beats per minute, 71 beats per minute, and then 115 beats per minute.…

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Q: 7 Graph R(x)= x² -+4x-5 x²+x-2 (lis steps, :) list all steps

A: Find the vertical asymptotes by setting the denominator equal to zero and solving for x. Since it is…