3. Determine the divergence or convergence of the series 00 a) Σ (1.075)" п n=0 4n+1 b) E Зп-1 n=1 c) E÷-) 1 n n+2 n=1

Q: 18. Differentiate y with respect to x using A-method. a) y = x³ + 2x? - x+ 5 b) y = ax*, where a is ...

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Q: (sec2 0 – sin 0) de sec y (tan y – sec y) dy 1 2

A: Given:- 1. ∫(sec2θ - sinθ)dθ2. ∫secy(tany-secy)dy

Q: Determine (in ordered pair) the point of intersection of the lines 2x – 5y = 10 and 3x + 2y = 6.

A: Intersection of two lines- Intersection point will satisfy the equation of both lines .

Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = sin-1 x

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

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Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

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Q: DIFFERENTIAL EQUATIONS Solve using variation of parameters or reduction of order Show your step-by-s...

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Q: Assume that you can contribute $7,000 per year into a retirement fund that grows at a constant rate ...

A: Let ,Time = t P = $7,000 Rate = 7% = 0.07 P'(t) = dP/dt (a) Write a first-order linear differential ...

Q: cos° Vx dx x CsC csc Va

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Q: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: sin (x²) + C

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Q: Q1. Each of the following curves cuts out regions above and below the x-axis between the given point...

A: see below the answer and calculation

Q: What is a singular solution? Give an example.

A: Singular solution of the differential equation is the solution which can not be obtained from the ge...

Q: Use the difference an+1 - an to show that the sequence {n – 9"t0 Sn=1 is strictly increasing or stri...

A: Topic   Function decreasing and increasing  Given function is strictly decreasing.     

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: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? Ox =...

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

A: ∫exdx1.Integrate with respect to xex+C12.Integrate with respect to x∫(ex+C1)dx=ex+C1x+C23.Integrate ...

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: We will evaluate this integral as shown below

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: Integration by parts. cos?x sin4x

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Q: Find y' by implicit differentiation 1. x³+y³=6xy 2. x²+y²=4

A: Question 1,Given,           x3+y3=6xyTo find : Find y' by implicit differentiation.

Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where ai...

Q: %3D %3D a. m 1 b. mZ2 X C. mZ3 P. T

A: Given: 1. PT is tangent. 2. mMXP⏜ = 186°3. mNP⏜    = 90° 4. Point 'O' is a center of the circle.  -...

Q: Question 3: Suppose that H = xy + V3x2 + 4y?, and at t = 0 (initiation) we have r = 1, y = 1, H = 6,...

A: Let's find. 

Q: Alice rents a place in Cornelia Street and saw a paper on her desk. It says, "The product of two pos...

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Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: X-7y=-11 ---(1)  5x+ 2y = -18 ---(2)

A: Note:- As statement of problem is missing for given system of equations so we can solve system of eq...

Q: 21. Find y' using implicit differentiation. a) In (xy + x + y) = 2 b) In (sin xy) = xy

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Q: Find the area of the shaded region. y 20 (1, 7e) 15 y = 7e* 10 5 y=7xe* X -1.0 -0.5 0.5 1.0 1.5 2.0

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Q: The accompanying table shows the velocity of a model train engine moving along a track for 10 second...

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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: (2+ In²x) dx J x(1 - In x)

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Q: 3 lim f(r) エーC lim g(r) 12, and lim h(r) = -3. エーHe エー Compute the following limits: a. lim(-4 f(r))...

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Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) - 3ln(x-...

Q: 2. 3. yo. %3D CX %3D

A: Let's find. 

Q: (a) Find AB if possible. (b) Find BA if possible. (c) Find A'B if possible. (d) Find B'A if possible...

A: NOTE: Refresh your page if you can't see any equations. . .

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

A: Topic:- integration   

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

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Q: 2. x cosh x? sinh x2 dx

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Q: Gordon is twice as old as Tony when Gordon was as old as Tony is now. The combined age of Gordon and...

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Q: 1. lim t0 sint sin(2t) 3. lim 2t 1- cost 6. lim sint

A: limx→af(x),  by completing a table of functional values. step 1: choose two sets of x-values—one set...

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: Pivot once as indicated in the given simplex x, tableau. Read the solution from the result. X2 51 3 ...

A: Given : The simpex tableauTo find: The solution from the resultx1=  , x2=   , x3=   , s1=   , s2=   ...

Q: First make a substitution and then use integration by parts to evaluate the integral 9x³e*´ dx Note:...

A: A detailed solution is given below 

Q: Evaluate the indefinite integral sin (t)cos (t)dt

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Q: 3. TVI+ 1 dx (use trigonometric substitution

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 40 xp. x² - 25...

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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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