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

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A: Position , s(t), velocity, v(t) and acceleration functions, a(t) for t≥0 are:  s(t)=t3-6t2+9t ,…

Q: x (t) = 4 sin t ly (t) = 4 cos t %3D

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Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy + yz + zx, Po(2, -…

A: The given problem is solved below in detail.

Q: lim - Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: 1 lim X→0+ ех-1, 1 lim x cos…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: Supply the missing integrand and the limits of integration (dx dy _dy ху y e'dy -1 ® /' (e -1)dy -1…

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Q: Describe the transformations of the graph of y=vx to obtain the graphs of the following functions.…

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Q: lim X→1 X-1 In x)

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

Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: SOLUTION: As per given data, f(x)=3 ;[a,x]=[1,x] We know that, if we integrate function between…

Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use or-w, enter INFINIT x -…

A: we have to find the limit

Q: Question 3. Find f/(x). If f(x) = tan-1x?

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Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin'x+ 3 cos?x=1+2…

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Q: (24) Evaluate the integral: / Vr sin(1+x³/²)dx.

A: Note to student :    Thanks for posting your queries. But there are multiple questions given. As per…

Q: "ou MUST answer question # 1. Then, choose Ol Use mathematical induction to prove the form…

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Q: 9. A rectangle is formed in R² by the vectors OA = (1, 3) and OB = (6, –1). a) Calculate the…

A: a)Given OA=i+3jOB=6i-jSince OC is diagonal of parallelgram ABCDOC=OA+OBOC=i+3j+6i-jOC=7i+2j

Q: 3-Find the area of the surface of revolution generated by revolving the curve y=V .1sxs3 about the…

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Q: 1+エ da. -dx. Evaluate the integral:

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Q: A population of 45 foxes in a wildlife preserve quadruples in size every 15 years. The function…

A: We have to calculate  value of y

Q: Find the most general antiderivative. 4) (15+ e2t) dt. 16 e2t A) B)+ 202t + C e3t +C +C 27 e2t +C

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Q: d Cos(2) (32) Find the derivative: dx V1 – t?dt

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Q: sec x lim X0 InX

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Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

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Q: Verify that the given functions are linearly independent by evaluating the Wronskian at x = 0. {e2a…

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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: Using the method of undetermined coefficients, what is the modif ied form for a particular solution…

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Q: Question Ris the region bounded by the functions f(x) = /3x - 1 and %3D g(x) = +2. Find the area A…

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Q: 1 -2 Inx x-1 X lim, 'x→1

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Q: QI) Use Taylor series method to comp ute x(0.2) and given that d'x xdx _4x =0 ,x(0)=1, (0) = 2 dt dt…

A: Taylor Series is given byf(x) = f(a) + (x-a)1!f'(a) + (x-a)22!f''(a) + .....i.e. f(x) ≈ f(a) +…

Q: Write in logarithmic form. 45/2 = 32 log 232 O A. = 4 log 54 5 O B. log 432 = 5 Oc. log 54 = 2 5 O…

A: We want to write the given expression in logrithmic form.

Q: 1. Using proof by contradiction, prove Let n be an integer. If n' is even, then n is even.

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Q: 1. Using proof by contradiction, prove Let n be an integer. If n' is even, then n is even.

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

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Q: Find two positive numbers sattsfying the glven requirements. The sum of the first and twice the…

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Q: PROBLEM 4: Let A and B be 4x4 matrices with det(A)=5 and det(B)=-2. Compute det(3A?BA").

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Q: Answer unclear

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Q: 5. Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

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Q: Find the flux of F(x, y, z) = 4а, 32 + 2?, across the positively oriented surface 2 S given by R(u,…

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Q: An earthquake was recorded with an intensity which was 630,957 times more powerful than a reference…

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Q: 1. If sin 0 =, and 0 is in QI, find sec 0. 2. Given cos e = .e is in QIV, find csc 0. 3

A: We have to find out the trigonometric ratios

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Q: In x2 lim

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

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Q: Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0…

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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: 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: Use the law of cosines to determine the length x in each figure. Leave your answers in terms of…

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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…