Next que Does the sequence (a,) converge or diverge? Find the limit if the sequence is convergent. a, = cos 2n- Select the correct choice below and fill in any answers boxes within your choice. O A. The sequence converges to lim a, =. %3D n-00 (Type an exact answer.) O B. The sequence diverges.

Q: Evaluate: 1 dx 2(х — 1)? 1 О а. + C 2(х-1) O b. * + C 1 2х + C 1 d. + C 2(х-1)

A: The integration of the integral is 1/[2(x-1)2].

Q: Sketch the level curves of the function f(x, y) = y + x? for c = 3. 7- 5- 4- -6 -5 -4 -3 3 4 5 6 -2 ...

A: Solution ) f(x,y) = y + x2  f(x , y ) = c  y + x2  = c  y + x2 = 3  y = -x2 + 3 To find the vertex  ...

Q: Problem 4: If a = 4t,s = 16 when t = 4, and s = 25 whent = 6, find the equation of motion s = and th...

A: Solved below

Q: Find the limit: lim0 z+4 4. 16 - 12 O (E) 15

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Q: 3x Find the limit: lim,→7 I+2

A: This is a limit problem of the function. Please follow the procedure given below.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: Topic = Vectors v=1,92  Positive components -v=-1,-92 Negative components    

Q: Find the volume between the cone x = sqrt(y^2 + z^2) and the sphere x^2 + y^2 + z^2 = 4

A: The cartesian to spherical conversion is given by: x=r cos ϕy=rsin ϕ cos θz=r sin ϕ sin θ Now, in th...

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j - k v = 4i + j - k par...

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: Question 10 Finding the Domain and Range of a Function: f (x) = Vr² – 3x + 2. 0(-0, -2 JU [1, 00) O(...

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Q: Find the magnitude of v. V = = 4i

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two po...

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Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle bet...

A: Solution is given below:

Q: Log(x^2 +3) = log(x+6)

A:

Q: Question 9 cos2x- sin2x cos2r -dr =D- =-F(x)+C. What is Fx)? For cosx - sinx Hide answer choices A s...

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Q: Find the Maclaurin series of each of the following functions by using one of the series listed in th...

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Q: When two pure notes that are close in frequency are played together, their sounds interfere to produ...

A: Given data÷ f1t=cos17t f2t=cos19t ft=f1t+f2t

Q: 2. Consider the functions f(x) = x² and g(x) = VT. (a) Use linear approximation to approximate the v...

A: detailed solution mentioned in step 2 and 3.

Q: d²y dy y = e * is a solution of dx2 = 0 dx

A:

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given query is to find inflection point and interval where concave up and down.

Q: A heguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 800 yd of...

A: Question- A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, usi...

Q: Solve the DE using homogenous equations: Let: x = vy dx = vdy+ydv xy dx - (x2+3y2) dy = 0

A:

Q: e'dx – x²dy = 0 = 0

A:

Q: Suppose that you are holding your toy submarine under the water. You release it and it begins to asc...

A: topic - Domain and Range of the function

Q: Find the centroid of each of the given plane region bounded by the following curves: y = x³,y = 4x [...

A: follow the procedure given below.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -4i + 15j – k v = 4i + j - k O p...

A:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 8t, y = 8 –...

A:

Q: Find the general solution to the differential equation y"+5y" + 6y' + 2y = 0. %3D Hint: Look for a r...

A:

Q: A. Determine whether the graphs of the follow yes if it is. Otherwise, write no. Explain your 1. Lin...

A: 1) Linear function:- Yes; a linear function (f(x)=ax+b, where a,b are real and a≠0) is a polynomial ...

Q: g (x) = (/9x + 3 ) (7x² + 1)

A: Find your answer bellow

Q: Consider the following. u = (4, -5, 8), v = (-1, -6, 3) (a) Find the projection of u onto v. (b) Fin...

A:

Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3), P2(5,...

A: We can solve the given problem as follows:

Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given query is to find the inflection point and interval where concave up and down.  

Q: 6 Convert your original pair of complex numbers to polar form. D=1-j2 A = 2+ j3

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. (R...

A: Find your answer below 

Q: Consider the function f(x)=1/x+4. Complete the table of values below. x f(x)=1/x+4 -1000...

A: The given function,       fx=1x+4

Q: find the orthogonal trajectory of the family of curves r^n = a sin n theta

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Q: x + 2 1. If f(x) = and g(x) = 2x + 5, find: x- 2 (a) fog and state its domain (b) (g•f)(-2) (c) (f•g...

A: To find out fog(x) 

Q: Find the unit vector in the direction of v. v = -6.9i + 2.5j U =

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Q: y' + 2.5y = 1.6r 25 yy' – 4x = 0

A:

Q: Samantha and Diego wants to raise ducks in a rectangular field with two internal partitions as shown...

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Q: Consider the following graph. (4, 5) (1, 3) 1. (a) Find the component form of the vector v. (V, V2) ...

A: Given a graph showing the vector. 

Q: Question 4 Given: f (x) = x +7 and g (x) = x² . Find the limit: lim, -3 9 (f (x)). O (E) O 18 O 12 O...

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Q: Exercise 1 Plot the point (1,–1,-/6) in rectangular coordinates, then find the corresponding ,-1, sp...

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Q: Solve the initial value problem. dv + sect, v(0) = 4 %3D dt 1+?

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Q: Let a = ci + jandb = 9i + 12j. Find c so that the angle between a and b is 9. Round your answers to ...

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Q: Fihd thẻ čentroid of the region bounded by the graphs of the functions 1 y = 4 sin(x), y = and x = a...

A: Find the centroid of the region bounded by the graphs of the functions    y = 4 sin(x), y=x/9, and x...

Q: The temperature of a person during a certain illness is given by the following equation, where Tis t...

A:

Q: Find the magnitude of v. V = 4i ||v||3=

A: Let, v→=xi^ then, V→=x2 =x.This is the formula of magnitude of v→

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum if the serie...

A: