Question i a) [? *:): Determine whether the series 1 Σ n=1 (2n-1)4 is convergent or divergent. b) . 1: Determine whether the series * 5*+1 3+67+1 n=1 is convergent or divergent.

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(25) e*e" = e5…

A: The given equations are;  2ln(x)=ln(y)+ln(25) exey=e5

Q: Describe the long run behavior of f(x)=-2(4)x+4

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Q: 7. y = csc csc (3x – 1) 8. y = 3secx + 45

A: Solving

Q: What are intervals of concavity of the function f(x) = 2x - 6x² – 3 ? Concave upward on (1, o) and…

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Q: The series 2" (n!)2 n=1 is divergent. Select one: True False

A: The given series is a 2n/(n!) 2. Repost the next question.

Q: Find the equation of the tangent and the equation of the normal to the curve y = x + - at the point…

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Q: (yt + y)dy + ty dt = 0.

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Q: Find the center and the radius of the sphe- x2 +y? +z? + 6x – 4z = 0

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Q: In x Find lim x o x2 Find lim x In x.

A: 2.

Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

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Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos²(a) Choose... sin?(æ)…

A: Let's find.

Q: 12 - r), 2. Suppose f(r) = {0, if r> 2 if r = 2 |4 – 2*|, if r < 2. if r< 2. (a) Find lim f(z). +2+…

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Q: Express the following sum using sigma notation. a. 7+8+9+ 10 + 11 5 a. 7 + 8 +9+ 10 + 11 = E| k=1

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Q: Directions: Read carefully and solve for what is asked in each problem. ds 1. Given the velocity v =…

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Q: V. 90) Preview 5 = 5. v. lim g(x) = Preview H-1 vi. lim g(x) = Preview I-1" vii. lim g(x) = Preview…

A: As per our guidelines we can help you in solving only first three subparts.Rest of the problems you…

Q: The function f : R → R defined by f(x) = cos(x – 5) is а. one-to-one but not onto. b. onto but not…

A: Let's find.

Q: Use the Chain Rule to find dz/dt. z = sqrt 3+ x^2+y^2, x= 3 ln t, y= cos t

A: Use chain rule to differentiate z

Q: Please clarify the answers.

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Q: Sè baucy) dy

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Q: How did you get the volume of the hole and the ball? Referring to 4/3pi in the beginning

A: We know volume of a sphere of radius r=43πr3 cubic unit

Q: Let i denote the square root of – 1. For the two complex numbers z = 3e# and w = 6e'† find z. w.…

A: We have to find the multiplication of complex numbers.

Q: Differentiate f (x) = 7 (2-60+3). A. f' (2) = a2-6x- 3 B. f' (x) = In(7)(2x–6)7™(=²-6z+3) x2-6x+3…

A: Differentiate f(x)

Q: Q2. Do as required: (40 Marks) 1. Evaluate: f(x) = S, di at a = 1 2. Find the Taylor series of f…

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

A: To solve the following function properties

Q: FEx) = 1+e siny x fCx) f'ca) = fco) = - fくb) = fCl-2) = = -15 e sin4X- se"cos4X 8 LN %3D %3D %3D…

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

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Q: The following series is divergent: 3n 3n Зп — 6. - 3 — 2п | n=1 Select one: O True O False

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Q: y = c, sin wt + c2 cos wt

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Q: A man on a wharf is pulling a rope tied to a raft at a rate of 0.6 m/s. If the hands of the man…

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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: (b) Lines of reflection Lines of reflection Lines of reflection Order of rotational symmetry Order…

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Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

Q: ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN…

A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…

Q: Use Riemann Sum to find the area bounded by f(x) and the x – axis: f(x) = 4 – x² over [-2,2] x =…

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Q: 8 In what quadrant does the angle lie? 7pi/3 IV II I III

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Q: y? Let f(x,y) : (a) Find the domain and range of f. (b) Draw a contour map of f for k = –3, –2,…

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Q: Рreview iv. g(0) = Preview v. lim g(x) = Preview T -1 vi. lim g(z) =L Preview %3D T-1+ vii. lim g(z)…

A: limx→a f(x)=L if and only if limx→a- f(x) =L=limx→a+ f(x) .

Q: (ii) Evaluate the integral. C/4 (sec t tan ti + t cos 2tj + sin? 2t cos 2tk) dt

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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: Consider the function f(x) = x2+1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

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Q: Answer

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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 graph of a function f is given below. According to the graph, the derivative of the function…

A: To determine whether the given statement is True or False.The graph of a function f is given below.…

Q: Determine the value of lim,00 7²+5 a +3r+7

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Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: If 2n+3 a %3D 5n+8

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Q: Eliminate the arbitrary constants on the given equation: y = Ae + Bxe" O y = y' – 2y O y' + 2y +y =…

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Q: For the following function, find its inverse. f(x)= In(5x – 8) - a. f'(x)= (e* - 5)/9 b. f'(x)= (e*…

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Q: The series 1 Σ 2 (-1) "-1. 00 n=1 1.8 is absolutely convergent. Select one: O True O False

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