Using Sandwich Theorem, the sequence 1 cos? n + 1 an = 4 - n converges to 4 converges to 2 diverges converges to 0

Q: dy Use implicit differentiation to find dx 2x - 5 3y? 2x +5 dy dx

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Q: The first English dictionary, prepared in 1604 by Robert Cawdrey, defined 3,000 English words. In…

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Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: (c) Find marginal profit at q = 500. 10 Explain what it predicts. The total profit will increase by…

A: Apologies for the inconvenience.   #c) We have found that marginal profit at q=500 is 10.  It means…

Q: The equation x² + y2 = 25 has O a center at (0, 0) and a radius with a length of five units. O a…

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Q: The following series 08 2n Σ (-1)" 4n 3n+1 n=1 17 37 converges to converges to 20 the above O the…

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Q: A ladder 42 feet in length rests against a vertical wall of 36 feet in height. What is the measure…

A: Given query is to find the angle of elevation.

Q: To prove that 2 dx 1+ (In x)2 + In x+c = 2 In %3D X1 + (In x)2 we use the substitutions U = Inx then…

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Q: 5 Find the eigenvalues of the matrix A = 2 -8 -8 = Enter both values separated by a comma.

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Q: O O O O For the differential equation (x2-4)y" + (x-2)y'+ 2y 0, a regular singular point is: O x-4…

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Q: 2x+5 Зх +1 5) lim 2х+5

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Q: Let F(a) = f(x*) and G(x) = (f(x))". You also know that a = 2, f(a) = 3, f'(a) = 15, f'(a*) = 2 |3D…

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Q: y = sinx dy V1+x? sin dy V1+x sinx+x x+x (sin" x)' Jī- dx (sin" x) Vi+x² dx Op tion 2 Option 1 V1-x…

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Q: 4x2-3 f (x) 2х3+x2+7

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Q: Rewrite the following equation in logarithmic form and use that to solve for the variable. Show all…

A: To solve for x

Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y = 0, a regular singular point is: X=4 x=2…

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Q: Find the divergence of the vector field F. F(x, y, z) = In(9x2+ 6y² )i + 54xyj + In (6y? + 5z?)«…

A: To find the divergence of given vector field

Q: For the number 70260.011000 What is the number of significant digits and what are the significant…

A: Number of  Significant digits = 11

Q: Arcsin(x/y) = 4x + 3y

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Q: convert csc x/ cos x to sec^2 x/ tan x

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Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…

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Q: \n + 2, The following telescoping series ΣΗ 1 sin sin-1 n + 1 n + 2, n=1 TT converges to converges…

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Q: Part 4: Solve the following problem. Show your complete solution. 1.) Find the equation of the…

A: A detailed solution is given below.

Q: Given a non-exact differential equation(x - sin?y)dy + sin y dx = 0. Find two integrating factors.

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Q: If f(x) dr = 6 ,what is the value of f(5 – 1) dr

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim t-0 eSi + sin(2t). -) +…

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Q: solve the following first order differential equations (Homogeneous Equations)

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Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y= 0, the singular points are: %3| x=2 and…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Given problem:-   Find the surface area of the plane ( 15x 5z+20y=35) if it is in the first octant

Q: x2 dx - 1

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Q: Solving by variation of parameters y" – 3y' = x the general solution is: None of them c_1+c_2…

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Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

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Q: P7: x3 + x – 1 x(x – 1)(x + 5)²

A: The given problem is solved below in detail.

Q: Consider the circle in the ay-plane given by the parametrization x = 2 cos t, y = 1+2 sin t, 0<t<…

A: Let's find.

Q: dx (x² + 1)

A: To solve the given integral

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

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Q: x-1 y = log. x+1

A: Topic:- application of derivatives

Q: 25 Type the correct answer in each box. 37 The vector \ / Is reflected across the line Y = 1 and…

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Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: Solve the equation (y - (cos x)^2)dx + (cos x) dy = 0

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Q: 8. The rationalizing substitutionw + 4 = u² transforms - dw into w+4 A. fu² - 4°du B. 2fu² - 4}du C.…

A: Given: I=∫w2w+4dw  ...1   As we know that; The Power law: ddxxn=nxn-1 And ∫a·fxdx=a·∫fxdx , where a…

Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j+ 6k) dt

A: Given query is to find the attached integral of the expression.

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: 17. y csc(5x)

A: Differentiation

Q: Find a series solution about the ordinary point 0 of the differential equation y" + 8xy'-4y-0 O None…

A: The given differential equation is:y''+8xy'-4y=0We need to find a series solution about the…

Q: 6. sech(4x) tan (4x) dx

A: We need to evaluate integral.

Q: A. Solve the following problem involving derivatives 1. The position of a particle is given by the…

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Q: need

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Q: 1/5 2n'5 3) Use the Limit Comparison Test to determine whether the series V5n + 7n+7 n=1 is…

A: Given problem:-