1 Σ 4n² – 8n + 3 n=1

Q: 18) 4y"+4y'+17y=0

A: Given: 4y''+4y'+17y=0 So, we can also write as; 4D2+4D+17y=0 The auxiliary equation is: 4m2+4m+17=0

Q: Consider the curve y=x(6-2x)^2 Find the local max./min. points of the curve.  Find the increasing/d...

A: Let us consider a curve y=f(x) x=a is said to be a critical point of this curve iff f'(a)=0 x=a is ...

Q: 10. Vx – 1dx 15 32 32 b. 15 a. 32 d. none of the choices C.- 15

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Q: 4. The image in the region below is revolved around some line. Set up, but do not evaluate, integral...

A: Solution

Q: Write the domain in interval notation. Write your answers as integers or simplified fractions if nec...

A: Topic = Functions

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

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Q: Let h, k, m, neR such that n > m >0. A general equation corresponding to the above surface is: A) (z...

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Q: show all working so it is easily understandable The number of women in the workforce, based on data...

A: Topic:- Geometry

Q: Find if this series is convergent or divergent and provide detailed solution.

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

Q: For f(x1, x2) = x2 cos x1 find f'(x1, x2), f'(2,7) and df[(2,7); h]. For f(x, y, z) = (x – 2z)e" fin...

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Q: 3 situations that could represent functions

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Q: 6. Use the sum and difference identities to simplify the expression. '5T COS 12

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Q: (lx] + 3 , ={-2x (6x +2, I<-3 Q4) Check the continuity of f(x) - 3 <x< 3 x2 3

A: topic - limits and continuity

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

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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&gt;0 &amp; y(1)=5

Q: Solve the initial-value problem by using integrating factors. y' + y = x, y(0) = 6

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Q: 6. Let a be a real number.

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Q: 2. a) Find lim g(x), lim g(x) and lim g(x) 2 b) Find f(1). c) Is g continuous at x = 1? Why or why n...

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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: The drawing below shows a right-angled triangle. A straight line crosses the triangle parallel to th...

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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)"3nx" n² – 5 V. Determine the interval of convergence of > n=1

A: This is a problem of series calculation. By using concepts of series we will determine interval of c...

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: 12 Given that sine 13 and 0 < 0 <, find sin(20) and cos(20)

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Q: Consider the function F(x) = X-3sinx Find the indicoled limit 2'Hôpitel's Rulei slete thet it does n...

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Q: Determine whe ther the series is Convergent or divergent.write the exact test that you Use. n=2

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Q: Explain why the integral is improper. 8. dx (x - 7)3/2 140 120 100 y 80- 60 40 20 O At least one of ...

A: Improper integral: If f(x) is continuous on the interval (a,b] and not continuous at x=a then,      ...

Q: 6. Find the smallest constantr so that o(x) == x" is a solution to 3z'y" +11lry -3y= 0, for z >0 -3 ...

A: 6.ϕr=xr is a solution to 3x2y''+11xy'-3y=0, for x&gt;0

Q: Find the function value at first derivative 1. if f'(x) = (x* - 2)(x* - 5) find f(-1) 2. if f(x) = f...

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Q: Given the following matrix and one of its eigenvalues 10 -9 A = and its eigenvalue R, = 4 6 -5 1. Fi...

A: Topic:- matrix algebra

Q: 2n n=1 п+ en

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Q: nctions f(x) = 3 + VI, 9(x) = x² – 3, %3D (a) (fo g)(x) (b) (go m)(r)

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Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to x hundre...

A: Given query is to find the rate of change of supply.

Q: coth? (x) – csch2(x) = 1

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Q: 1. 3 2 a) Find lim f(x), lim f(x) and lim f(x) b) Find f(1). c) Is f continuous at x = 1? Why or why...

A: We have given figure. And we have discuss about limit and continuity at some certain point. 

Q: If f(x) = 21, find f'(– 10).

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Q: Consider the indefinite integral (7x³ +6x2 + 3x + 3 -dx x4 + lx? Then the integrand has partial frac...

A: Topic = integration

Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: A boat is pulled toward a pier by means of a taut cable. If the boat is 20 ft below the level of the...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

A: solution

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural...

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Q: Determine whether the improper integral diverges or converges. 00 dx 12 converges O diverges Evaluat...

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Q: Consider the function f(z) = 4 8z on the interval [- 1, 4]. Find the average or mean slope of the fu...

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Q: Suppose that f(z, y) is a smooth function and that its partial derivatives have the values, f-(-8, -...

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Q: OFind the linearization L (1, y) of the function f (z, y) = /176 – 4,' - 16y at %3D L (z, y) = Note:...

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Q: Simplify the expression without using a calculator. log0.00001 =

A: This question is based on properties of logarithm.

Q: Given the following multiplication problem -2 1 = - 1 Perform the multiplication to find your two eq...

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Q: 12) y"-3y' +2y=0, y(0) =-1, y'(0) = 0

A: topic - differential equations

Q: Question Select your answer. What is the slope of the tangent line to the function -2 f(x) = at the ...

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