For each function, determine the long run behavior x2 + 1 has Select an answer x2 + 2 x3 + 1 has Select an answer x2 + 2 x2 + 1 has v Select an answer x3 + 2 No horizontal asymptote Question He a Horizontal asymptote at y=0 a Horizontal asymptote at y=1 Submit QueerVIT > >

Q: (ii) Prove the identity (2 - 2 cos 0) (sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0…

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

Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

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Q: f'(x) =-+e²* +x²and f(1)=. Find f(x) Given

A: Here, given that: f'(x)=1x+e2x+x3⇒f(x)=∫1x+e2x+x3dx+C⇒f(x)=∫1xdx+∫e2xdx+∫x3dx+C⇒f(x)=ln…

Q: An object’s position function, s, in meters, is given by s(t)= -4.9t 2 +13.2t, where t is measured…

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Q: dx (9 – 4.x²)³/2 2,3/2

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Q: Given the geometric sequence 31, 31/8,31/64 find an explicit formula for an find a7 please show…

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Q: dy given the dx Use implicit differentiation to determine equation x° + y? 10. - dy dx

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Q: The limit lim cos is an indeterminate form of type 0· o. 00. Select one: O True False

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Q: 2 2 y-3y 2+y =1+2x°

A: The solution is given in the next step.

Q: Construct a table and find the indicated limit. Vx +2 If h(x)= then find lim h(x). X-4 X-4 Complete…

A: To find the limit of given function as x approaches to 4

Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

A: To find the integral of given function. Note : As per our company guidelines we are supposed to…

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given query is to find the derivative and equation of tangent line.

Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy : (8, 1).…

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Q: evaluate the given limit. 5. lim xcosx X00

A: Given:      limx→∞x1cosx

Q: 2. Which is the interpretation of the statement lim f(x) =L? i. For all x values close to c, but not…

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Q: Find the particular solution to the differential equation d²y = 4e* + 3x² given y = -3 dx2 and = 3…

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Q: The point (1,3) is on the graph of x* . y? + 5 · y = x* + 23. Find the slope of the line tangent to…

A: Please follow the next step.

Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9) (b) 352+5s+1 (d)…

A: Let's find.

Q: 1. dr COS 2. sin

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding…

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Q: a. Lim x2 + X - 2 X→1 2x2 - x – 1

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Q: Find the minimum and maximum values of the function y = x-1 on the interval [1,6] by comparing…

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Q: A = (Round to thế heares There is no solution. e the value of a. Select the correct choice below…

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Q: Find the velocity and acceleration vectors in terms of u, and ug. do r= 6 e a0 and -= 3 dt Ju, +Juo

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: 5. ungles can be formed using the given measurements. The other measurements of the triangle in…

A: Two triangles can be formed by using the given measurements. The other measurements of the triangle…

Q: 10. The graph of a function is given below. Determine the intervals on which the function is concave…

A: We know that,

Q: Unless specified, all approximating rectangles are assumed to have the same width. The graph of the…

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Q: In Problems 19-36 use Theorem 7.1.1 to find L{f(1)}. 19. f) = 21* 20. f(1) = r° 21. f(1) = 41 - 10…

A: Laplace transform

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) 2 sin x What is…

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Q: You weigh out a diamond and get 10.0 grams on your scale, knowing this is a rounded result. Between…

A: We have to find 2 weights, between them weight of the actual diamond found.

Q: Find the first three nonzero terms of the Maclaurin expansion of the function. (x) = e 6x What is…

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduce to…

A: To find the mass.

Q: 4. Let z = x2+y, x 2st, y = s - t2, s = u", and t = usin w. Compute for

A: To find the partial derivatives using chain rule

Q: Solving berneulli differential equation dy Xp

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Q: 2. Consider the function g defined by 1 g(r, y) = cos (TI/y) + log3 (x – y)* Do as indicated. (a)…

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Q: Given f'(x)=-+e²2* +x² and_f (1) = +x*and f(1)=. Find f(x) 5.

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Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. f the limit…

A: Given query is to find the limit nof the expression.

Q: 3 4 11) –3 0 -5 Ans. r = 2 - 4 5

A: A detailed solution is given below.

Q: 3. A girl is flying a kite on a string. The kite is 120 ft. above the ground and the wind is blowing…

A: To solve this problem we use pythagorous theorem.

Q: 2s-9 d. s2 +2

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Q: 4. f(t) = teatcosbt

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Q: 2. Determine a•5 for each of the following a) å = (7, -3,5)andb = (-5,11, -2) 3. Determine the angle…

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Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 8 cos TX ...…

A: The Maclaurin series is given by  f(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+...

Q: Find the sum of the convergent series. 1.6

A: Gp

Q: Find an equation of the tangent line to the graph of x* + 3xy? + y = 15 at the point (1, 2).

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Q: 1 - 2 9) Ans. r = 1

A: Given the matrix . We need to find it's rank. As we know that rank of a matrix is number of non zero…

Q: Solve

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Q: 1. When do find a volume by the slic (a) A type I region rotated abou (b) A type I region rotated…

A: Given question:- When do find a volume by the slicing method? Circle all that apply.