1. Verify that the infinite series diverges п a) E (2) 6 n=0 п b) E п+1 n=1

Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: Plot the graph: y=- cot(x) ; [-x<x < ]

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Q: The function f is shown below. What is the value of | f(x) dæ? Writey your answer in simplest form. ...

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Q: Factor the difference an+1 a, to show that the given sequence {an} is strictly increasing or strictl...

A: an+1= (n+1)/(16(n+1) +9)        = (n+1)/(16n + 25) an  = n/(16n+9) an+1 - an =(n+1)/(16n + 25) - n/(...

Q: 10. lim Ve+ 2-2

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Q: 3. Given r(t) = e' sin t i + et cos tj + v2e'k, a) find the arc length function for the curve measur...

A: We have to find arc length function, point and re-parametric equation. 

Q: Find the volume V of the described solid S. The base of S is a circular disk with radius 4r. Paralle...

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Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: following

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Q: Determine any relative min or max of the function. You will be provided a table on how to evaluate D...

A: To find the relative min or max of the given function. 

Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: Vx dx 1+ Vx

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Q: dilation has center​ (0,0). Find the image of the point ​L(6​,−8​) for the scale factor 4. L'=

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Q: Question 15 15. The first derivative of the logarithmic function f(x)= In (e +3) is 1 A e +3 B e +3 ...

A: Topic:- application of derivatives

Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1              ...

Q: Find the gradient vector of f(x, y) = e®"y at the point (1, In(2)). 6 In(2)i+ 2j O 2i +j 2i + 2j 3 I...

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Q: Use finite approximations to estimate the graph of f(x) =x between x = 0and x = 1 using 1. a lower s...

A: Let's find. 

Q: integrate [7x ^ (- 2/3) + (x + 2) ^ 2] dx

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: cot e tan e cot?0 O cot?e tan?e 01

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: Write an equation (any form) for the quadratic graphed below: 4- 2- -5 -4 3 -2 -1

A: Vertex =(h,k)=(2,1)From graph ,Parabola passes through points :(0,-1) &amp;(4,-1)std equation of par...

Q: Use integration by parts to evaluate the definite integral. 8t? In(t)dt Give an exact answer

A:     ∫1e8t2lntdt=8·∫1et2lntdt=813t3lnt-3·∫t23dt1e=813t3lnt-3·t391e=813t3lnt-t331e=82e39+19=82e3+19

Q: ds using the trapezoidal rule and Simpson's rule. Determine Evaluate The value of -ds is (Round to f...

A: Topic:-  integration   

Q: Enclosing the Largest Area The owner of the Rancho Grande has 2,956 yd of fencing with which to encl...

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Q: Given that (-1, 3) is a stationary point of the function f (x, y) = -x3 + x2 + 2xy+ y² – x – 4y. | D...

A: Given; fx,y=-x3+x2+2xy+y2-x-4y And The stationary point is: x,y=-1,3   We know that; If rt-s2&gt;0, ...

Q: I. The Fisher effect theorizes that nominal interest rates observed in financial markets must compen...

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Q: why we useltn@) inATOA tor) (sec 1 tan 0 sin 0 cos 0 A(1, 0) Pr FIGURE 2.30 The figure for the proof...

A: We know that  Tan(x) =sin(x)/cos(x)        

Q: dx J (V32 + 4)3

A: To find:-

Q: A. (A +B+C+D+ E+ F) B. (P + Q +R+M + N) (x² + 1)(x + 1) (2x + 3)* dy or y': dx Ах' + Bx? + 2х + с Dx...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Question Select your answer. A certain radioactive element decays according to the 39.60 formula R(t...

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Q: 1 Simplify (129 + 121 + i) (i2021)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 343 | lim x → 7 x – 7 - O - 28 O 147 O 98 O – 147

A: Topic:-  limits and continuity  

Q: x+1 dx (25 – x²)3/2

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

A: Basic application of derivative problem

Q: Question Select your answer. 1 if r 4 4 16 does not exist 2 Answer

A: Topic = Limits

Q: If you integrate the below integral successively for FIVE TIMES, how many terms including the C will...

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Q: Use a finite sum to estimate the average value of f(x)=x³ on [0,2] by partitioning the interval into...

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

Q: A circular swimming pool has a diameter of 16 ft, the sides are 5 ft high, and the depth of the wate...

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Q: Question Select your answer. If f(x) = cos z, and g(x) = 5 f(2), does lim g(x) always No, because f(...

A: Given problem:- if f(x)=cosx and g(x)=5-f(x) does limx→cg(x) always exist for any real number c?why?

Q: 1. Complete the given 2 sets of tables of values to investigate the limits of a function. lim a? – 5...

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Q: The function f is shown below. What is the value of | f(x) dx? Write your -4 answer in simplest form...

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Q: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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Q: Here is a graph of the function f. Español Use the graph to find the following. If there is more tha...

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Q: The graph of f', the derivative of f, is shown below. Determine all possible inferences that can be ...

A: Let's find. 

Q: DIFTERENTIAL 6QUATO NS Eliminate the arbitraty constans y Iny c,e+ Cze Fihp THe BIFFERENTI EQuntoN F...

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Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: The figure is the graph of the derivative, f', of a function f on [-4, 2]. Determine the intervals o...

A: Topic:- calculus and application of derivatives

Q: Find the value of the limit x² + y? lim (x,y)→(0,0) 2x + y (You can consider using the polar substit...

A: Limit  =  0 When both variable are in sum and squared form then trigonometry subsitution results in ...

Q: cos° Vx dx x CsC csc Va

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