Use the ratio test to find the radius of convergence of the power series. 00 4x" Σ n=0 3" (n+ 1)

Q: Evaluate the integral. Show all your work. sin xcos' xdx

A: 1-sin2x=cos2x ddx(sinx)=cosx ∫xndx=xn+1n+1, for any real number n

Q: 3. Complete the table for the function: y 21 Xy a 0 b 4 C 6 a= b= 2.

A: Topic = Function a=2 b=4 c=5

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of ...

A:

Q: Which term best describes the mapping shown? a. relation b. function c. one to one function

A: Given query is to find mapping is a relation or function.

Q: dy (c) -y = e* sin(2x) Integrating Factor Marks] y = 1 when x = 0

A: This question is based on solution of linear differential equation.

Q: 3y" – 6y' + 6y = eª sec x (variation of parameters)

A:

Q: Write the first five terms of the sequence: {Vn² +n – n}, n=1 Determine whether the sequence converg...

A: given sequence n2+n-n1∞  

Q: Differential Equation : Linear Differential Equation of Order c) #1 only (U can answer others thanks

A: Topic:- differential equations

Q: 1. Find the length of the curve r(t) = (sin 2t, cos! cos 2t) from t =0 to t 2n. %3D II

A: 1)- Given: r→t=sin 2t, cos 2t from t=0 to t=2π. The objective is to determine the length of the curv...

Q: 1.which of the following is the inverse of f(x)=sqrt(x^2-4) a.f^-1(x)=sqrt(x^2-4);x≠4 b.f^-1(x)=x-...

A: Topic = Functions As per guidelines , At a time only one questions can be answered out of multiple q...

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A:

Q: ) Show that the gradient of a scalar function f is a vector along the normal to the level rface whos...

A: Follow the procedure given below.

Q: Suppose that in winter the daytime temperature in a certain office building is to be maintained at 7...

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Q: Find the Taylor series generated by fat x = a. 3 f(x) = a = 1

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Q: Determine the general solutions of the following non homogenous linear equations. 1. (D² + D)y = sin...

A: As per the instruction, we will be answering the first one. For (1),         D2+Dy=sin x The charact...

Q: The graph of f (x) is given by Determine the following limits. Write your answer in the form lim f(x...

A: Topic = Limits

Q: Consider the following sequence: +00 7" {an} = n=1 An+1 to show that the given sequence {an} is stri...

A: Given that: {an}=7n6n21∞

Q: Suppose it is known that for a given differentiable function y = f(æ), its local linearization at th...

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Q: Consider the following function. +] - 2x + 2 3 2 (a) Find y'-f"(x). "(x) = (b) Find the critical val...

A: Topic = Derivative As per guidelines , At  a time only three sub-parts can be answered.

Q: Consider the following. y y = fix) 4 (a) By reading values from the given graph of f, use five recta...

A:

Q: When x is less than or equal to 2, what equation is shown in the graph? a. f(x) = | x - 1 | b. f(x)...

A: Given question:- When x is less than or equal to 2, what equation is shown in the graph.

Q: Calculate the integral. (Use symbolic notation and fractions where needed.) - sinh(15x) dx = +C

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Q: 1 dx = +C (x+1)² X+1

A:

Q: . Given the graph of g(x) = {√−x−2+1, x<-2   x2+2x+5,  x≥-2 below, evaluate its limit as x approache...

A: Given that: 5. g(x)=-x-2+1, x&lt;-2x2+2x+5,     x≥-26. g(x)=Graph is given.7. g(x)=-1x2

Q: Consider sequences {an} and {bn}, where lim an = 2 and bn = (-1)". Determine which n++00 of the foll...

A: Given: limn→+∞ an=2          and           bn=(-1)n

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use decimal notation. Gi...

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Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

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Q: Francine currently has $45,000 in her 401k account at work, and plans to contribute $3,000 each year...

A: We need to find total amount accumulated.

Q: f cos 0 = where <0 < 2n and tan 3= where r < B < , set up the triangles that represent each trig %3D...

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Q: equations. 1. (D2 + D)y = sin x %3D 2. (D2- 4D+ 4)y = e* 3. (D2 – 3D+ 2)y = 2x3 - 9x2 + 6x 4. (D2 + ...

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Q: Determine the general solution for each given higher-order differential equation or particular solut...

A: Given that: (D2+8D+25)3(D2-4D-5)2(D2-2D-15)4z=0,   Dz=dzdx

Q: x' +2y² Show that does not exist. lim (x.y)-0,0) 2x

A: Along y = x:     limx, y→0, 0x2+2y22x=limx→0x2+2x22x=limx→03x22x=limx→03x2=0

Q: cos? x dx 4 sin* x 2.

A:

Q: Given the function: f(x,y, z) = x°y2² + æy° +y°z Find а. fazy: (x, y, z) b. fazyz(1, –1, 1) -

A: Given the function :  f(x,y,z) = x3y5z7 + xy2 + y3z

Q: 8. Given the graph of f(x) below, evaluate its limit as x approaches 2 from the left. X 10 -2 -8 a 2...

A: GIVEN problems:-

Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fxy.

A: Given:  Let fx, y=xy+x+x cos y To Find:  To determine fxy.    

Q: 6) Find a power series representation for ; find the radius of conver- gence for your series. 1-a

A: Given that: 1+x1-x

Q: Evaluate the following integral by using substitution ∫4x/√(x^2+1) dx   limit: 0 to √48

A:

Q: For the function, find the relative maxima, relative minima, and horizontal points of inflection. (I...

A: Given:- y=x3/3 +x2 -24x+25  To find:- Relative maxima Relative minima  Horizontal points of inflect...

Q: 0.9012 82 82 82...

A:

Q: A company can sell x units of a product when the price is p = D(x) = 3.00 – 0.002x dollars. The tota...

A: Given , No of unit =x Price=p Also given P=D(x) =3.00-0.002x and C(x)=0.006x2+0.52x+270 Hence,    

Q: This answer is not correct

A: Given that: limt→09t1+t-9t

Q: The triangle needs to be solved. Round to nearest ten

A:

Q: 2x2 +2x-4 lim X→1 X-1

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Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Af(Bx + H) + K. where ...

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Q: The immigration to the United States from Europe, as a percent of the total immigration, is approxim...

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Q: ах? + с, x < -2 a) Given f(x) = }bx + 8, - 2<x < 3, determine the values of a, b, and c if: -2c, x2 ...

A:

Q: 25.) Find the radius of curvature of a parabola y? - 4x = 0 at (4,4).

A: Solution is given below:

Q: A o 5. Find the complementary angle of 26- Ao is 4 The complementary angle of 26= (Simplify your ans...

A:

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an ordere...

A: The supply and demand function,Sx=4x2+11x+43Dx=115-x