The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the acceleration at t = pi/12 seconds. Round your answer to two decimal places if necessary.

Q: Q4)(a) Find the maximum eigen value for the system A = 2 0 with initial vector x' (0) = (0.0299 1)

A: In order to get the maximum eigen value we need to perform the iterations till the eigen vector is…

Q: Calculate the following integral e-4 dx by using a substitution O - 0.25e^(-4x) + C O 0.25 e^(-4x) +…

A: Take substitution as -4x = t

Q: (29) Evaluate the integral: - csc² xdx. 7/4

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Q: x(x^2+1)y'+2y=(x^2+1)^3

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Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Note that the work done here can be given by: W=∫abρπr2h where ρ is the density, r is the radius and…

Q: Find an equation of the tangent line to the curve y= x3 – 3x2 + 5x that has the least slope.

A: Given    slope is 1st derivative

Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

A: Question- Write an equation of the form y=a sin bx or y= a cos bx.  to describe the graph .

Q: When f(x) is divided by (x - 2), the answer is 2x3 - 4x² + 3x + 1 with a remainder of k + 7, and if…

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Q: Find length of the curve described by the parametric equations a = 3t2, y = 2t, 0<t< V3. A. 3/3-1 B.…

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Q: The function s(t) describes the motion of a partide along a line. s(t) = t- 14t + 21 (a) Find the…

A: (a)  vt=dsdt      =dt2-14t+21dt v(t)=2t-14 (b) Positive direction denotes, v(t)&gt;0 ⇒2t-14&gt;0…

Q: lim X→1 X-1 In x)

A: The given limit,      limx→1xx-1-xln x

Q: 1- cotu dx du (a) cosu. dx du (b) -sinu. dx (c) - csc?u. du du (d) -cscu. cotu dx (e) None of these…

A: Given problem:-

Q: The function s(t) describes the motion of a partide along a line. s(t) = 12t – 2 (a) Find the…

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Q: даду

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Q: 1+sin (n) 2. Determine whether the series is convergent explain why. Ln=1

A: We have to test the series

Q: 10. Simplify as much as possible: log (

A:

Q: 2. Find the volume of solid generated by revolving the area bounded by x=y2+2, x=0 and y=2 sbout: a)…

A: Given problem:- Find the volume of solid generated by revolving the area bounded by x = y2 + 2 , x =…

Q: Complete the table and use the result to estimate the limit. Use a graphing utility to graph the…

A: Here we have to find the value the limit of the given function using table values.

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove that…

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Q: The point P(48, –14) is on the terminal side of angle e in standard position. What is the value of…

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Q: ( 19 ' Evaluating cot 3 will yield to A 3 B -V3 D

A: Here, cot19π3cot6π+π3

Q: (22) Find the derivative of f(2)

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Q: -6(х— sin "x)(csCx «)(cs 3 CSC X |

A: Topic:- function and trigonometry

Q: (c) y"e* + ye* =x

A: option C is correct answer . explanation in next step   . please give a like

Q: What is the range of the inverse sine function y= sin- (x)? (-골, 글) A 2 2 B ( 0, π) 2'2 D [0, 1]

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Q: Evaluate the integral: 1. - 1 (1- 5x + x³ – 2x5 5х + x3 — 2x5 dx x2 2. S(y³ – 3,/y+ Vy) dy

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Q: Given the vectors v and u, answer a. through d. below. v= 7i-3k u=i+j+k a. Find the dot product of v…

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Q: Converting 49T radians to degrees will correspond to which value? (A -1746° -1674° -1764° -1476°

A: topic - radian to degree conversion

Q: Q3/ Optimize the function Z = x + xị ? Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange…

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Q: The amount of chemical that will dissolve in a solution increases exponentially as the temperature…

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Q: What is the exact value of cos(2u) if cot (u) = where sin(u) <0? 12 (A 37 35 B 37 12 37 35 37

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Q: y+4 =-V2x

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Q: 11. y = x + x

A: Given

Q: x3 dxp (x²+4)7

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: 4-x 16-x²-y2 Fx*+y° dzdy dx

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Q: rcos(z) d Find the derivative: dx V1 – t2dt

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Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

A: See this solution in below

Q: Find the volume of solid generated by revolving te area enclosed by : x=y²+1, x=0,y=0 and y=2 about:

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Q: Find dy/dx by implicit differentiation. 12Vxy +4xyVxy –y dy/dx %D x – 2x²Vxy

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Q: 2/2 Suppose cos(a): , where sin(a)<0 and cos(B) where <B<n, what is the exact value of cos(a +B)?…

A: Here we have to choose the corect option.

Q: Answer unclear

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Q: Find the mass of a plate bounded by one arch of the curve y = sin x, and the x-axis, if the density…

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Q: Calculate the following limit using L"Hopital's rule: e* –1-x lim(z→0) O 1/2 O 1 O - 1/2

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Q: find all numbers c that satisfy the conclusion of mean value theorem for the function f(x) = 2x^2+1…

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Q: What is the range of the tangent function y=tan(x)? A R B [- 1, 1 [0, + ) D (- 00, 1]U[1,+ ∞)

A: Tanx is the ratio of sinx and Cosx

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Natural length = 2 x1=2-1.5=0.5x2=2-1=1

Q: z(0) - 2, y(0) 8.

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Q: 1 (27) Evaluate the integral: (5t + 4)2.7

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Q: A circle has radius of 7 cm. What is the length of arc intercepted by a central angle of measure…

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