Use the Growth Rates of Sequences Theorem to find the limit of the following sequence or state that it diverges. 10 an= n102n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The limit of the sequence is (Type an exact answer.) O B. The sequence diverges.

Q: 1. Evaluate dx /4 sec2 x (a) VI(x+ 4) (b) * dx V1 – tan? x

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A: The given problem is solved below in detail.

Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k b. u = 2i – 2j + k, v= 3i + 4k а....

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: To find unit vectors that satisfy the stated conditions.a Same direction as -2i+7j.b Oppositely dire...

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Q: Question 1: The 3x3 matrix A is given below: [3 A = |1 [4 01 1 1 -1 3] a) Show that A only has two e...

A: The given matrix,A=3001114-13

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A: Simplify the function then take derivative and draw the graph. 

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Q: 2vx +x=1 lim X→00 Зх — 1 zero infinity another answer

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Q: SHOW ALL WORK! date Round all answers to 3 decimal places unless directed otherwise. Use a graphing ...

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Q: b. limx-3= In(x-2) %3D X-3

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Q: Evaluate the series or state that it diverges. 00 k = 0 Select the correct choice below and, if nece...

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A: Take limit n tends to infinity for finding the limit.

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A: The given figure is:

Q: S sin 3xcos"3xdd

A: Given: ∫sin43xcos43xdx Let I=∫sin43xcos43xdx  ⇒I=116∫2sin3xcos3x4dx ⇒I=116∫sin46xdx

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Q: 94= are tam 4 Sknk 345 cosx

A: y=arc tan(4sinx3+5cosx)dydx=11+(4sinx3+5cosx)2ddx[4sinx3+5cosx]dydx=4[(3+5cosx)cosx-sinx(-5sinx)(3+5...

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 2. v=i+k, u = 5i + 12j V = Find: a. u.v, l미, lul b. the cosine of the angle between u and v. the sca...

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Q: choices a Both slelemens ae in tarrect b. The First ctalement u Correct and the secondl Statement 1s...

A: According to the Bartleby guidelines, I'm answering the first three questions please re-post the oth...

Q: 3. Find the angles between the vectors: u = 2i + j, v= i + 2j – k а. b. u = 2i – 2j + k, v = 3i + 4k

A: Angle between two vectors, θ=cos-1u→.v→|u→| |v|→ a)  u→.v→=2i+j.i+2j-k       =2+2 u→.v→=4 |u→|=22+12...

Q: dV E = dx d(a+bx) E = - dx E = -(b)

A: Consider  V=a+bxE=-dVdx

Q: 2. Find the derivative y' for each function/curve. Once you solve for y', you do not need to simplif...

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Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (-x --) – 1...

A: If y=A cos(Bx-C) +D , thenAmplitude     - APeriod            - 2πBPhase shift    - CBVertical shift ...

Q: Find the area bounded by the curves 4y – x = 0 and y – 4x = 0 1. For points of intersection. 2. Area...

A: 4y=x2 and y2=4x1.) solving bothx242=4xx4=64xx(x3-64)=0x=0 , x3=64x=0, x=4corresponding  y-valuesat x...

Q: Find the sum of the series whose terms are an=1/5^n. What kind of series is this?

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Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du   ...

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A: Given query is to find the double derivative of the expression.

Q: Question 5 Integrate the function. X +7 dx 2+2x A22 A)In x7 In +C 2)5 x7 In (x*2)5 In (x

A: Given: I=∫x+7x2+2xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: 2. f f(x)= the cost (in dollars) of purchasing x candy bars, write a complete English sentence to ex...

A: Here, the given function f(x) is the cost (in dollars) of purchasing x candy bars.

Q: Find the vector component of v = 2i -j+ 3k along b =i+ 4j + 8k and the vector component of V orthogo...

A: Formula:vector component of A along B:A cosθ B^ =(A→·B^) B^ B^ =B→B→ v=2i-j+3kb=i+4j+8kb^ =bb=(i+4j+...

Q: Solve by Chain Rule f(V) = /2y + (3y + 4y²)³

A: The answer is in step 2

Q: Use the chain rule to find the derivative of 12 f(x) = 2(50 - 2x) You do not need to expand out your...

A: By using chain rule to find the derivative of the given function.fx=25x10-2x812    

Q: Differentiate f(r) COS (5c). Use exact values.

A: Given that f(x)=cos-1(5x) Find f'(x)

Q: Find any vertical asymptotes. 4x - 4 h(x) = x2 + 4 О А. х32, х- -6 В. X%3 - 2, х-6 OC. y=2, y= - 6 O...

A: For vertical asymptotes equate the denominator to zero

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Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. 0.5 x3 tan 1...

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Q: 7 dx x + 1 -1

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Q: Use logarithmic differentiation to find dy/dx for y= x^3 square root(2x-3)/(x+2)^2

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Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an an...

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Q: . lim 3x2 - 9 X-0

A: Let L is the value of given Limit.

Q: Determine the force in members CD, CJ, KJ of the truss which serves to support the deck of a bridge....

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