1. Find the differential equation for the family of: 1. Circles passing through the origin with center at x-axis 2. Curves y = 2ce2x 1+ce2x

Q: +00 1 Σ 4n² – 8n + 3 n=1

A: Convergence of series

Q: Question Select your answer. What is the equation of the tangent line to the function 1 y = 2 1 I + ...

A: slop, and tangent line

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers (a) E (c) E(...

A:

Q: 1. (a) Plot the first four terms of the sequence 3n2 – 3n + 2 n=1 (b) (i) Write in bracket notation ...

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Q: dive gent.write the Determine whether the series is test that you Use. convergent nt1 n=3

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Q: Let f be a differertiable function such that f(-5) = -9 and f'(x) = 2x + 8. What is the approximatio...

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Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Given query is to find horizontal and vertical asymptot.

Q: (12 let y.(z) be the solution for the initial valve problem given belaw. e y' + 6x"y = In(x), x>0, y...

A: The given DE is: x5y'+6x4y=ln(x)x...(1) x>0 & y(1)=5

Q: 17 Find the exact value of cos20 given csc0 and -< 0 < TI 8.

A:

Q: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

A: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

Q: 00 (-1)"+l2nx" n² + 3 n=1

A:

Q: Question Find an algebraic expression equal to csc(cot (4x)). (You may assume that - < cot-" (4x) < ...

A: First we let cot-1 (4x) =thetha Then we using csc2 x=1+cot2 x

Q: Q4/ Find the centroid of the triangular region cut from the first quadrant by the line x + y = 3.

A: Topic:- geometry

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 2x^2−...

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Q: +o0 Зп? — 4 >Un where sn = u1 + u2 + · · · + Un 3n2 + 4 n=1 convergent O divergent

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Q: Determine whether the seies is Convergent test that you Use. divergent.write the exact or

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Q: Find any horizontal and vertical asymptotes for the function. (Enter your answers as a comma-separat...

A: Given y=x+1x2-16 We have to find horizontal and vertical asymptotes.

Q: C: Proof that (Answer one only) S a)L (cos?t- sin²t) : %3D s2 + 36

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Q: 15. Challenge Problem: Find the value of k for which the following limit exists. 4x2 + kx - 27 lim x...

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Q: List down the steps in stimulating a secant method with explanation.

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Q: Plot the first four terms of the sequence 3n2 – 3n + 2 2 n=1

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Find the exact value of cos20 given csce = – -- and tane > 0 Simplify the trigonometric expression c...

A:

Q: d. If a rational function has a finite limit as x , then it must have a finite limit as x 43. Explai...

A: Topic:- calculus

Q: Which of the following would represent the equation of the graph that passes through the point (8, 9...

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Q: Let y(x) be the solution to the following initial value problem.find y(e). Write your answer symboli...

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Q: A particle moves along the x-axis, its position given by r(t) t> 0, where t is measured in seconds a...

A: Given

Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

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Q: The graph of a conic section is shown below. Identify, among the options, a possible equation for th...

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Q: a The value of an investment account has a doubling time of 13 years and $35,000 was originally depo...

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Q: Find the equation of the tangent plane to the surface z = ly² – lz² at the point (-2, 0, -4). 4x+0

A: Given   z=y2-x2 We have to find equation of tangent line at the point(-2,0,4)

Q: (-1)"+l2nx" Determine the interval of convergence of2. n² +3 n=1

A:

Q: Which of the following integrals represents the area of the surface obtained by rotating the curve y...

A: The curve y=lnx, 1≤x≤3, rotating about x-axis

Q: 4. Find the constant a so that e +y = I-l is an implicit solution to e %3D tay O 5/2 О 32

A:

Q: Let f(x) = radical 6 + radical 7x find f'(x) =

A: Given f(x)=6+7x We have to find f'(x)

Q: Differentiate f(y) = 8-3y+5 f'(y) > Next Ouertion

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Q: Evaluate the limit. 2x5-128x2

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Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,988 yd of fencing with which to encl...

A: let length of longer side of rectangular land be  L yardslet length of shorter side of rectangular l...

Q: 21 812 + 30t + 1 for t2 0, wheret is measured in 3 A train travels along a set of tracks according t...

A: Let's find. 

Q: 5xyz dv, where T is the solid tetrahedron with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), and (1, 0, ...

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Q: A. : Į Given lim f (x) = 5, lim g(x) = -1, and lim h(x) = -3. Used the properties of limits we have ...

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Q: PERFORMANCE TASK Carl and his friend James are having trouble using the different methods for findin...

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Q: Question Select your answer. Find the derivative of f(x) = 5/x with respect to r. 2x 5 Answer

A: Given :f(x)=5xf(x)=x2+5x 

Q: Given the following matrix and its eigenvalues -27 3 2 1. Find the two eigenvalues for the matrix 2....

A: a) Eigenvalues: λ1=5λ2=-5 b) Matrix of eigenvalues For λ1=5 -773-3 For λ2=-5 3737  

Q: Use the sum and difference identities to simplify the expression. sin(-75)

A:

Q: Question Select your answer. Find the derivative of f(x) = -x² + 4x + 3 with respect to 4x + 2 x. -2...

A: Let's find. 

Q: Calculate the arc length of y = - x² - In x over the interval [1, 8e]. %3D

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Q: A person stands at the end of a pier 8 ft above the water and pulls in a rope attached to a buoy. If...

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Q: The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. O a. 44.8 m...

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Q: Solve the following equation on the interval [0,2) a. V3cosecsce = 2cos0 11. b. 2 sin2 x - 7sinx + 3...

A: a) 3 cosθ cscθ=2 cosθb) 2sin2x-7sinx+3=0

Q: Let f be a differentiable function such that f (2) What is the approximation for f(1.8) found by usi...

A: Given query is to find the value of f(1.8).