The following series is an alternating serie

Q: e3 1 - Find lim

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k…

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Q: Not yet answered Marke Prove that f(x) = (x- 1) + (x +1)² is an even function. A function k(x) is an…

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Q: n lim >(sin (2mx;))Ax over [0,1] i=1

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Q: 06: A- A projectile is to be fired from ground at angle of 30° to reach a target point that is 100m…

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Q: 6. Solve the differential equation: 2хydx + (x? - 1)dy -D 0 A. x'y - 1 = C B. x*y - y = C С. x' y =…

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Q: Find the distance between points P, and P2. P,(4,5,2), P2(6,2,8) The distance is (Simplify your…

A: The distance between two points P and Q is given by: d(P1,P2)=(4-6)2+(5-2)2+(2-8)2

Q: The polar coordinates of a point are given. Plot the point. (4, 7/2) y y 10 10 5 (4, 7/2) (4, 7/2) X…

A: Given polar coordinate is (4 , π/2) We have to find the rectangular co-ordinates.

Q: For the following function, find its inverse. f(x)= ln(4x−2)(4x−2)   a. f⁻¹(x)= (eˣ - 4)/3 b.…

A: We have to find the inverse function

Q: 2. Solve the initial value problem dx dy 1 = 2x x + 0, y(1) = 5. 3. Solve the initial value problem…

A: We solve the given initial value problems below.

Q: 5. y = cot cot (sinx) 6. y = 5 sec sec (2x) + 20

A: We can solve question no 5 and 6 using chain rule as below.

Q: the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the…

A: Find your answer below

Q: 3. Evaluate: lim -) X-0 sinx

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Q: Find the domain and the vertical asymptotes, if any, of the following function x-9 x2+10x+21 ' a.…

A: Given

Q: Question 12 The domain of the function f(x) : R → R defined by f(x) = V² – 3x + 2 is O (-∞, –3) U…

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

Q: Identify the curve. x 2 + y 2 = 1 parabola circle point circle hyperbola ellipse

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Q: Given the vectors v and u, answer a. through d. below. v= 6i + 2j- 3k u = 3i + 4j a. Find the dot…

A: We can find the dot product as below.

Q: Calculate the surface area of the portion of the cylinder X+y 9 that lies betweenz=3 and z=6. O A.…

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Q: Q: Solve the following D.Eqs. (Use undetermined coefficient method) 1) y" – 2y' + y = xe* 2) y(4) –…

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Q: Which of the following is true for the series 3n2 Σ n =0 4n°+7 O None O Divergent

A: Solving

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) e*e = e*…

A: We have to find the values of x and y.

Q: Use sigma notation to write the following Riemann sum. Then, evaluate the Riemann sum using formulas…

A: Solve the following

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: Bacteria are reproducing in concentric rings in a petri dish. The circular area occupied by the…

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Q: 3 12х (a) 2 x2-1)2 dx 2 (x2-1)2

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Q: Choose the quadrant in which the terminal side of this standard position angle is located: 105.7°…

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Q: Suppose a(t) = 2 m/s²gives the acceleration of a particle moving along a line in…

A: We have to find the velocity function, displacement and distance.

Q: Q2: A- Find the complete solution of the differential equation y"+2y'+4y cosx subjectcd to the…

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Q: 4. Find the absolute extrema (abs. max and min) of f (x) = x2 - 8x - 1 on the interval [1, 10].

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Q: Select one: O True

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Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

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Q: - Solve the differential equation y-2y'+y e" In x

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Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle a. P(5,5) tane = %3D -1…

A: Given query is to find the value of the indicated function.

Q: 1 (a) (i) How many 8-digit numbers can be formed with the digits 3,5 and 7? (ii) what fraction of…

A: Combination formula: The combination formula is used to determine the number of ways to pick items…

Q: 7 7 = 3, f(x)dx = 8, and g(x)dx = 5. Evaluate the following integrals. Sowar=s. 2 2 2 Sawak = -5 7…

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Q: The period of y = 2 sin 4x is _____. 2 pi/2 4pi

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Q: (d) g(x) = v4 – x²;(-2,2) 2 (e) f(x) = (x + 1)3; [-2,1]

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Q: Question 19 Evaluate the integral given. c(2x)tan(2a)dx +C %3D > Next Question

A: To find out the integration.

Q: The curve x + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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Q: Consider the function f(x) = (c) Find the intervals of concavity and the points of inflection of f.…

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Q: Evaluate the definite integral. et dx J1 xyln x

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Q: The differential equation (cos(x) sin(x) - xy²) dx + (y - x²y) dy = 0 can be solved by: B. exact…

A: Explained below

Q: Maximizing construction costs The management of the UNICO department store has decided to enclose an…

A: answer is in next step

Q: 5. S (16z³ – 14x + 6) dæ

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Q: What are the local extreme values of the function f(x) = = x' + 6x + 2? a. Local maximum at (-2, 6);…

A: The given function is;  f(x)=x3+6x2+2.

Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

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Q: Choose the correct graph for y = cos x with the domain indicated: y= cos x, -2Asx<

A: Given, y= cos x -2pi&lt;=x=0

Q: 6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given…

A: Given problem:- If z2 = x2 y2 (where x, y, and z are positive), and dz/dt then what is when x = 2…

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

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