Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges, and if so find its limit. If the sequence diverges, indicate that using the checkbox. (V2 – VIT), (/3 - V12), (VĀ – V13),... An = lim an The sequence diverges.

Q: 2. x2 – xy + y2 = 3, find y". 3. Find the equation of the tangent to the graph y = x Vx-1 at ( 5, 10...

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Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

A: A detailed solution is given below.

Q: 1. Calculate for one real root of tan x = 4x with xo 1.2 %3D up to six decimal places using the Newt...

A: Ques : tanx=4x f(x) = tan(x)-4x f'(x) = sec2(x)-4 x0 = 1.2 By Newton Raphson method xn+1 ...

Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: Homogeneous Differential Equation: (r* +2xy– 4y° kdx– (x² – 8.xy – 4y dy = 0 Let: x = wy dx= wdy+ydw...

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Q: = Homework: HW10--3.1 a. For the function and point below, find f'(a). b. Determine an equation of t...

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Q: - [Mesin(2x) dx = esin(2x) + C_then the Mis equal to +C,t

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Q: rx²+x+1 -dx x-2 A -+ 3x + 7ln (x– 2) + C +x- 2ln (x- 2) +C -x- In (x-2) + C +3r -3 In (x – 2) + C

A: Let's find. 

Q: d) Let A, be the region between y = x² +9 and y 21-x. Let A, be the region between y = x² + x – 12 a...

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Q: 3. lim cos X

A: Given: limx→0cos(x)   We know that; cos-θ=cosθ   Let, fx=cosx

Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: 1. d'y_dy - 42 + y =r²-2t +3 dr dt 2. y"-7y'=(2x-1)sin 2x 3. y'-5y=xe" – xe*

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Q: S. 9+eoscsiっ.、 (メ)) >マ

A: y = ∫dv4+ecossin-1xTo find appropriate 'dv' so that, anti-derivative is possible.  

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost...

A: If f(x y) is a function of two variables. Then  for fx(x y)=0 ......(1) and        fy(x y)=0 ..........

Q: Ce* + 1 is 3x = dy/dx – 3y = -3 for any choice of the constant C. Thus, Ce* + 1 is a one-parameter f...

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Q: O-26429052 2n (41) +1+(+り

A: We will use log function to evaluate the values of n.

Q: If f(x)dx=cot x² +C , then f (x) is equal to A -2cscx? B -2xcsc?x? © In/cscx²| D O In/sinx²|

A: We have to choose correct option for value of f(x)

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: Let's find. 

Q: Evaluate the following integral | sec(VT) tan(v) dæ

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Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  use the root test...

Q: Evaluate the following integral sec(VT) tan(V7) dx

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: xet dx (x+1)- 4.

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: This is geometric Progression series for convergence check common ratio

Q: For each given combination of values of lim f(x) and f(c), sketch the graph of a Xー→C possible funct...

A: To sketch the function with the given details.

Q: k-1 10 %3D 11 k=1 The series diverges

A: By geometric series sum formula,           ∑n=1∞ -1011n-1=11+1011=1121 So, the series converges.

Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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Q: Solve the differential equations by any appropriate method and indicate the method you have used/cho...

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Q: dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate f...

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Q: 5x dx 4. To evaluate the integral J which of the following formulas can be used? V9+x10 du In(u + vu...

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Q: Which of the following integral can be used to find the volume of a solid on the first octant bounde...

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Q: Write the first five terms of the sequence: +oo {Vn² + 7n – n}n=1 - Determine whether the sequence c...

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Q: Immediately following an injection, the concentration of a drug in the bloodstream is 200 milligrams...

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Q: Calculate the volume of a solid enclosed by the following equations z=x² +1 , x=6, y=9 and the three...

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2. Y = (7x³ + 3)6 ; y"

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Q: Assume that functions f and g are differentiable with f(- 3) = 4, f'(- 3) = - 4, g(- 3) = - 4, and g...

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Q: Find the volume of the solid generated by revolving about x=0 the region bounded by the given lines ...

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Q: Activity 1: Determine the number at which the function 1 is not satisfied. x2+x-6 if x # -3 1. f(x) ...

A: See the details solution in below

Q: Set-up the integral to calculate the area of a region bounded by х-у-3 and y-x2 -6x+9? A dy dx x2— б...

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Q: dx A D +C 3 B.

A: The given integral,        ∫e4x+1e2xdx

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

A: Given x-y=3 and y=x2-6x+9 To find area of region between these two curves:

Q: [1+sin x) 'cos x dx (sin x)4 +C A ) x+ sin x + B -(1+ sin x)*+C (sin x)4 -+C 4 sin x +

A: Substitute, 1 + sin(x) = t

Q: 23. Evaluate f-43*+3 dx a.- 3 In 4 b.- *+3 -+ C -3 In 4 С. - In 64 + C d. none of the above 24. Eval...

A: We have to evaluate these integration by assuming some terms who convert it in simple integral. 

Q: y = ( ビー2 at x=1 x+2

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Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

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Q: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

A: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

Q: Suppose a certain drug is administered to a patient, with the percent of 6t . Use t +1 concentration...

A: Topic:- application of derivatives

Q: Use any method to determine whether the series converge. 1 (a) E k + 4k + 1 k=1 This series 1 (b) E ...

A: We have to check whether the given series are converges. a. ∑k=1∞1k8+4k+1b. ∑k=1∞18+k15

Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches wid...

A: Trapezoidal  and geometrical area