Compute the partial sums S3, S4, and Ss for the series and then find its sum. 1 n+ 3 n+4 n=1 (Use symbolic notation and fractions where needed.) S3 = S4 = Ss = S =

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A: Explanation of the answer is as follows

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A: I am attaching image so that you understand each and every step.

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Q: A. Elimination of Arbitrary Constant Eliminate the arbitrary constants (1) y = (c + c2x)e* + 2x - 4

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Q: 1.3. Study the existence and uniqueness of the solution of the initial value problem (2y – 4)y/ – (3...

A: Given problem:-     To find:- fy(x, y) 

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Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +...

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Q: Question 8 x2dx Evaluate | x2Vx2-4

A: Solution

Q: 2.) Determine the set of points at which the function is continuous. а. F(x,у) — 1+x²+y² 1-x2-у? ху ...

A: Here, to find the set of points at which the function is continous.

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Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: Consider the function: f (x) = x³ + 3x2 – 45x + 3 Step 1. Find the critical values of the function. ...

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Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan...

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Q: What is the answer? show your solution and simplify your final answer without the use of calculator

A: Solved assuming 'a' is positive. 

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: Evaluate the integral using the following values. 8. x³ dx = 960, 8. 8. x dx = 24, = xp — Зх dx 14

A: ∫48-3x dx=-3∫48x dx Using the given data,  ∫48x dx=24 ∫48-3x dx=-324

Q: x² + ax + 2bx + 2ab + 2x² – ax² + 6bx² dx x* + ax² + 2bx² + 2abx²

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Q: Find the antiderivative, G(t), of the function g(t) = (5n²t? – t*)v5n2 – t2.

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Q: x(x-2) dx (x-1)3

A: We can find the integration as below

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Q: Find the average distance from the origin of a point between the two spheres x ^ 2 + y ^ 2 + z ^ 2 =...

A: We have to find average distance from origin of a point between the two given spheres. 

Q: Evaluate S(cos4 x – sin* x)dx

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Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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

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Q: Let D be the smaller cap cut from a solid ball of radius 20 units by a plane 10 units from the cente...

A: Given sphere:  x2 + y2+z2 = 202                     sphere

Q: A torus is generated by rotating the circle x? + (y – R)2 = r² about the x-axis. Find the volume enc...

A: Given circle is x2+(y-R)2=r2 Here the torus is generated by rotating the circle about x-axis. Find t...

Q: 16. Sketch the parametric curve x = Vt, y= sin t, 0<t< 2n. (b) (a) 1.0 (c) 101 1.0 0.5 0.5 0.5 05 10...

A: The graph of the parametric curve x=√t, y=sint , 0≤t≤2π is given as below,  

Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

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Q: x(xキャュ DISTRI BUTI VE PROP.

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Q: The radius of a right circular cylinder is increasing at the rate of 3 inches per ninute and the hei...

A: Given:The rate of change in radius =3 in/mThe rate of change in height =4 in/mThe radius =9 The heig...

Q: 2. Construct a table of values to investigate the following limits. 2r +1 lim a. 42 I-3 I+3 if z1

A: This is a problem related to the limit and continuity. Limit of the function is exist if right hand ...

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Q: S ** dx : Evaluate the integral using the following values. 9. 9. dx = 4 6 х dx %3D 320, х dx %3D 16...

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Q: 7. What is Vx3 – 7 i dx

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

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Q: Use the Second Derivative Test to find all local extrema, If the test applies. Otherwise, use the Fi...

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Q: In Exercises 39-42, the velocity v(t) of a particle moving in the plane is given, along with the pos...

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Q: III. Show that the function is continuous on the specified interval. 11. f (x) = V3x – 5; [3,9]

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Q: /9-4х2 dx

A: We know, (i) ∫dxx2-a2=12alogx-ax+a+C, C is a constant.

Q: Consider the fünction: f(x) = 5x + 15x² - 5x- 3 %3D Step 1 of 2: Determine the intervals on which th...

A: Concave up if f"(x)&gt;0 Concave down if f"(x)&lt;0

Q: -In 2 e* dx 3 (e2x + 8e*+ 7)2

A:      ∫0ln2exe2x+8ex+732dxLet u=ex.=∫121u2+8u+732du=∫121u+42-932duLet v=u+4.=∫561v2-932dv=∫\arcsec53π...

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Q: g(y) = y3 dy y 4 3+ 1 4 6. 8

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