3. Let an be the sequence defined by a1 = 1 and an for - ... n > 1. (a) Calculate the first four terms of the sequence. (b) Find the limit of the sequence as n goes to infinity.

Q: sin( - B) = V2 (cosB - sinB) 2 (sinB- cosB) O 2 (cosB + sinB)

A:

Q: dw V5-e-2w

A: Given,           ∫dw5-e-2w

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A:

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A:

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A: For the solution follow the next steps.

Q: 00 1 1 dx x2 + x

A:

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A: Given

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Q: Please integrate  ∫ ex / (9+e2x)3/2 dx

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Q: DIFFERENTIAL EQUATION Find the differential Equation of the family of the curves described. Draw at ...

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Q: Identify all singular points and points of discontinuity of the given function. (Enter your answers ...

A: The given function is  f(x)=9-xif x≤9x-9if x>9

Q: 1 Simplify (129 + 121 + i) (i2021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: [3 1 B = [4 3 1] [1 21 and C = 3 4 Compute ABC if A = 11

A: Given:- A=12-13 , B=312431 ,C=123410 To find:- ABC

Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: (sec2 0 – sin 0) de sec y (tan y – sec y) dy 1 2

A: Given:- 1. ∫(sec2θ - sinθ)dθ2. ∫secy(tany-secy)dy

Q: 3. Given r(t) = e' sin t i + et cos tj + v2e'k, a) find the arc length function for the curve measur...

A: We have to find arc length function, point and re-parametric equation. 

Q: cos“ I dr 4 sin* I

A:

Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

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A:

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. an = 51/n (Use s...

A:

Q: Expand (2+V-9) А. 46+9i В. 46-9i С. -46-9i C. D. -46+9i

A: Option (D) correct. For detail go through the solution

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A:

Q: (2+ In²x) dx J x(1 - In x)

A:

Q: Given the functions below, find B. (P +Q+R+M+ N) u= 4- Vw +1 du Pw + Qw +3+R/w? +1 u" or dw 9u" (w +...

A: I am attaching image so that you understand each and every step.

Q: Prove the following identities. cos( - ) sin x/2

A: NOTE: Refresh your page if you can't see any equations. .

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A:

Q: Relation 1 Relation 2 Domain Range Domain Range j y O Function O Not a function O Function ONot a fu...

A: A relation R from A to B is a function if each value of A is mapped to only one value of B.

Q: 20. Which of the following statements are FALSE? dy 2л -5 I If y = In (7 - 5x), then de 7 - 5x 3e3x ...

A:

Q: Evaluate the following limits by constructing the table of values. 1. lim 3" 2. lim 5" 4. lim cosr 7...

A:

Q: х*+ 4x2-9х-36 3. у %3 4x2+28х+48

A: First we simplyfy then taking derivative. 

Q: SvX (n x dx

A: Let I=∫xlnx2dxApply integration by part.I=lnx2∫xdx-∫∫xdxddx(ln(x))2dx I=lnx2x12+112+1-∫x12+112+12ln(...

Q: 11T find the reference angle 0'. Give only exact answers, and type pi for 7 if needed. Do NOT 3 If 0...

A: Topic:- trigonometry   

Q: +oo n+1 n=1 Determine whether the sequence converges, and if so find its limit. If the sequence dive...

A: an =nn+1a1 = 11+1 a1 =12a2 = 22+1 a2 =23a3 = 33+1 a3 =34a4 = 44+1 a4 =45a5 = 55+1 a5 =56

Q: .2 e cos? y = 2+5x+1)3 %3D

A:

Q: et dx (9 + e2¤)

A: Integration   by subsitution technique 

Q: C. y =1+3y tan x

A:

Q: A linear function f(x, y) = ax + by + c has no critical points. Therefore, the global minimum and ma...

A: Given function f(x,y)= 4+6y-24x  Now since it is a linear function it has no critical point. So the ...

Q: Question 5: a. Convert 50/1 yarn count to denier count b. Convert 60/1 yarn count to dtex count

A: 5) a) 50.050  

Q: cot e tan e cot?0 O cot?e tan?e 01

A:

Q: The function f is shown below. What is the value of | f(x) dæ? Writey your answer in simplest form. ...

A:

Q: Find the exact value of the following trigonometric expression: cot y- csc y = Basic Funcs Trig

A: We can find the answer as below.  

Q: I'y" The expression log| z18 can be written in the form A log(x) + Blog(y) + C log(z) where A = B = ...

A: We can find the answer i.e the value of  A, B & c  as below.

Q: dx J (V32 + 4)3

A: To find:-

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A:

Q: 4. Vic and Joey argue about the limit of the function f(x)=1/x as x approaches 0. Joey's opinion is ...

A: Claim of Vic is correct, because as per the definition of limit  By evaluating the left hand limit w...

Q: x2 +4 dx 2x2 + x

A:

Q: Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate ...

A: Let ,Time = t P = $7,000 Rate = 7% = 0.07 P'(t) = dP/dt (a) Write a first-order linear differential ...

Q: Sse sech²xtanh²x dx 2.

A:

Q: Graph the curve. x 3e cos(t), y = 3e sin(t), 0stsn y y 30 X -60 -40 -20 20 -10 10 WebAssign Plot 20 ...

A: Given: x=3e^t cos(t) y=3e^t sin(t)