lim 2-0 |3x-1| + 3x + 1| I

Q: 7л Determine the exact value of cot 6

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Q: Let the position function of a particle be r = <t, t2,0〉. Find the tangential component of the…

A: Let the position function of a particle be r=t, t2, 0.To find the tangential component of the…

Q: 2. Find the MacLaurin polynomial of degree 16 for the function F(x)= So sin (6xt²) dt.

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Q: Let f(x) x³ + 6x² 36x +11. = (a) Use the definition of a derivative or the derivative rules to find…

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Q: lad Use Green's theorem to evaluate y² dx + 3xy dy, where c is the boundary of the semi annular…

A: Given Problem:- Use Green's theorem to evaluate ∮cy2dx+3xydy where c is the boundary of the semi…

Q: Use following se k Z K-I the integral test Series to decide converge

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Q: Find the curvature x for the curve y = x - K = x² at the point x = 2.

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Q: Given: (x is number of items) Demand function: d(x) = 768.8 0.3x² Supply function: s(x) = 0.5x² -…

A: Given: (x is number of items) Demand function: d(x) = 768.8 - 0.3x² Supply function: s(x) = 0.5x²

Q: The graph below is the function f(x) Find lim Find lim I→-1- Find lim 4 3 I→-1+ in 2 01 I-1 es 1 2…

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Q: y(x tan x + In y) dx + tan x dy = 0.

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Q: 2.fe-2y dy

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Q: Part 1 A rectangular tank with a square bottom has base side lengths of 3 feet and a height of 10…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: A solution of the differential equation d²y dy +4- + 4y = 4e¯¹ dr2 da takes the value 1 when z = 0…

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Q: Evaluate (2 - xy) ds where C is the curve given below. -2 -1 -2

A: Given   ∫C2-xyds Curve C

Q: A3. SOLVE STEP BY STEP IN DIGITAL FORMAT Define g(8) for the given function so that it is continuous…

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Q: Determine it each of the following is absolutely convergent, Conditionally convergent, for…

A: We have to test whether the series is absolutely convergent conditionally convergent or Divergent.

Q: If 0 ≤ an ≤ bn and bn diverges, then an diverges. Select one: O True O False

A: This question is related to series and sequence, we will solve it using given information.

Q: What is the indefinite integral (anti-derivative) { cos(x) dx? ○ sin(x) + C cos(x) + C - sin(x) + C…

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: 3. State the components of a unit vector that is perpendicular to the vector =(5,2,-1).

A: To state the components of a unit vector that is perpendicular to the below vector v. v=5, 2, −1

Q: B.Verify if a given function is a solution to a differential equation. 1 d²y dy 1x². +x=y= ln x dx²…

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Q: Assume that the temperature of a person during an illness is given by: T(t) = 8t/t^2+7 , where T is…

A: The answer is given in step 2.

Q: tan' (2)

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Q: Let f(x) lim I→ 6+ if x = Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: Wha is the derivative of exp(22²)? ○ 4a exp(2x²) exp(2x²) 2x² - exp(22²) exp(4x) ○ 4x exp(4x) ○…

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Q: Find two positive numbers that satisfy the given requirements. The second number is the reciprocal…

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Q: 4. Consider the function f(x) and its derivatives below: f(x)=2x²-11 Horizontal asymptote(s) f'(x)=…

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Q: Suppose that f(x, y) = e e-x² - 2y² + x Then the maximum value of f is

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Q: Find the direction vector of the line which is the intersection of the planes x + y + z = 1 and…

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

Q: Consider the function f(x) = 1-5x², -4≤ x ≤ 1. The absolute maximum value is and this occurs at x =…

A: Consider the function fx=1-5x2, -4≤x≤1.To determine absolute maximum and absolute minimum value of…

Q: Part A The population p, in thousands of bacterial colonies on a kitchen bench can be modelled by…

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Q: A piece of cardboard measuring 8 inches by 10 inches is formed into an open-top box by cutting…

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Q: 2x e²x cos(y)dx + e* sin(y)dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: 12. Find the area bounded by the curve y = 3x(x - 2)² and the x axis.

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Q: 5. Which of the following functions grows the slowest as x goes to infinity?

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Q: 3.2 Bus A leaves Worcester at 08:00 and travels north along the N1 at 50 km/h. Bus B leaves…

A: Given that The Bus A leaves at 8:00 with speed of 50 km/hand bus B leaves at 10:00 with 70 km/hSo,…

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x + 4 between x =…

A: Given function, y=4x+4 x=6, x=8 First we draw the diagram

Q: 14-Consider the Lie nard equation - (u-x²)x + x = 0. The Jacobian matrix for the linearized system…

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Q: (-1,1) a N (1,1) 2

A: find the domain and range of the given graph Domain: set of x values for given function Range : set…

Q: from X-TT to x=3TT/2

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Q: Compute the first, second, and third derivatives of r(t) = 9ti + 5 In(t)j + 5e-3tk. first derivative…

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Chain rule:…

Q: Obtain the General Solution of the following differential equations. 1. x²y y' = ey 2. (xy + x)dx =…

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Q: The relationship between temperature and relative humidity in a certain building can be defined by…

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

Q: Find the exact average value fare of f(2)=√16-2² between 0 and 4, then find an exact number e in…

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Q: y 3 2 1 -1 -2 -3 -4 1 2 3 4 5 6 X

A: We can find the Domain and Range of the function.

Q: y-e-x4cos4x ស

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Q: 18. y = 3x + 2 20

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Q: 2x³y¹ = y(y² +. 3x²) Answer: y²(C-x) = x³

A: The given differential equation 2x3y'=yy2+3x2 The general Bernoulli differential equation is of the…

Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: 1. Find the area under one arch of the curve y = cos- :cosex.

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