Determine is the series is absolutely convergent, conditionally convergent, or divergent. Show your work, and clearly state the test(s) used and its/their conclusion(s). Š (-1)** Vn + Vn + I 00 (-1)-" n=1

Q: +/t%edt 1. 2. Se-x/2dx 3. 3*e*dx

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Q: If the integral from 0 to 2 of the function g(x) is equal to 3, what is the integral from 0 to 2 of ...

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

Q: Given vector u (2, 5) and v (1, –3), determine the value of u component form.

A: Given query is to find the indicated vector.

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Q: Given vectors u = (-6, 5) and v = (1, –4) , find the difference V – u and represent the difference g...

A: Vector

Q: Cos x.e

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Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 9 and g(x) = -1.5x + 8, the ...

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Q: Find dy/dx by implicit differentiation. 8x3 + x?y - xy3 = 2 dy/dx =

A: Solution: 8x3+x2y-xy3=2

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A: Rate of change

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A: In this problem we eliminate C1 & C2  by differentiating  y with respect to x and forming Differ...

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A: Given query is to find the rate of change after 9 years.

Q: Use logarithmic differentiation to find the derivative of the function. sin? x tan4 x y = (x2 + 4)2 ...

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Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, -2) and the vector component of v orth...

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Q: Differentiate y = (x^2– 4)1/2/(x^2) + (1/2)[Arcsec(x/2)].

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Q: u = 3i + 8j + k v = i+j+ 6k w = i+ 8j + 8k V Find the volume. V = i

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A: To determine whether the lines intersect, and if so, to find the point of intersectionx3=y-2-1=z+1, ...

Q: 3. Find the slope of the tangent line to curve x=2sin2t, y = cos4t when t=-

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Q: For 0, determine two positive coterminal angles and two negative coterminal angles. 0 = 150°

A: Given, theta= 150° Coterminal angles are the angles that have the same initial side and share the te...

Q: 2. Find the area of the region bounded by the graph of y = x2 –- 3x – 4 and the x-axis. %3D

A: The region is bounded by y=x2-3x-4 and the x-axis.

Q: Use the alternative form of the dot product to find u · V. ||u|| = 35, ||v|| = 40, and the angle bet...

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Q: .

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Q: Convert the angle from radians to degrees. 0 = 4

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: If 2000 square centimeters of material is avacilable to make a box witl base and an opeN top, find t...

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Q: > Next question 3 Get a similar question You can retry this question below Let y = 5x + 2x +3. If Az...

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Q: integrate the following ∫(y-2 + 1/2y - 1)2 dy

A: We will us the formula a+b2=a2+b2+2ab for expansion

Q: Determine the average value of the piecewise function f defined below on the interval x = 0 to x = 3...

A: This question can be solved using the concept of definite integral.

Q: 1 L [s² +2s+5)

A: Let's find. 

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y2 + z2 (2, 3...

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Q: 4. Use implicit differentiation to find az in xexyz sin(2z) – xyz = 5. ду

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Given the following differential equation and its initial conditions y" - 3 y'+ 2y - 6 with y(0) 2 a...

A: We know, L{y''}= s²L{y}-sy(0)-y'(0) L{y'}= sL{y}-y(0) L{1}= 1/s  L-1 {1/(s-a)} = eat    

Q: 4. S Vcos²2x + 2sin²2x – 1 dx |

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Q: 2 sin (3x) d%

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Q: Use the table below to find: (f o g)(10) = (go f)(7) = %3D %3D (f o f)(2) = (9 o g)(9) = || -9 -7 -4...

A: Use the table 

Q: Let f be a function such that xf 2) dx = 12. Write an -6 equation that can be inferred involving the...

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Q: 1) Suppose that you are headed toward a plateau 50 meters high. If the angle of elevation to the top...

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Q: 5tan 2x -dx sin²2x-1 8.

A: Put tan2x=t and using integration of ax dx =ax /loga

Q: 2 -1 se s? +4 .2

A: Given:       L-1se-π2ss2+4 Apply inverse transform rule:       if L-1Fs=ft then L-1e-asFs=Ht-aft-a w...

Q: etermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Solution: we know that u→=ucosθ i +usinθ j

Q: 3. Determine whether the function is continuous at the given values of a. Show your complete solutio...

A: Given function fx=x+2if x≤12x2if 1<x≤3x3if 3<xiTo chaque the function is continuous  at x=1x+2...

Q: Determine whether the planes are parallel or identical. -5x + 3y - 8z = 5 15x – 9y + 24z = 14 %3D O ...

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Q: 1+ iv3 consider the complex number z 2(1 – i) Find |2| and arg(z).

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Q: Rewrite the following expression in terms of exponentials and simplify the result as much as you can...

A: Solution: We know that sinh(x)=ex-e-x2

Q: 3. Given w = x² + y² + z²; z = te"+s, use the CHAIN RULE to find x = ret+s; y = se**; and aw а. ar a...

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Q: FUNCTIONS: If f(x) = -4x + 2x2 and g(x) = 3x – 3; find the following @ x= -1. 1. f+g = 2. fxg = 3. f...

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first thre...

Q: explain

A: We have to choose the correct option from the given options

Q: Consider the region below f(x) = (8 – x), above the x-axis, and between x = 0 and x = 8. Let x; be t...

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