Ha Determine Find the limit it Hie' sequence converges it the sequence Ean} converges or diverges an =-

Q: find the laplace transform L{cosh3tsin3t}

A: Solved below.

Q: 17. Use L'Hôpital's Rule to evaluate the limit lim(x)1/x). Write oo if the limit is infinite.

A: Given query is to find the value of the limit.

Q: Find the domain of y = log(2 – lx). The domain is:

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Q: Find the slope of the tangent line to the curve la? + 4xy – 2y = 185 at the point (- 3, - 4).

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Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.

Q: Sketch the region enclosed by a + y = 42 and a + y = 0. a) Favoring convenience, should you…

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Q: FIND THE GIVEN DIFFERENTIAL EQUATION Non Exact Eguation (xy + 1) dx tx (* + 4y - 2) dy - 0

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places.…

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Q: Given f(z, y) = – 3z' + ry° + 5y², find fr(x, y) = | fy(z, y) = |

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Q: 2x + x² _ 4×-1 X-1

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find the following sum, if it exists. 0.4 + 0.0080 +0.00016 + .. Select the correct choice below…

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Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Question 1 If z=lm/x*+ y² + un /x²+y²+-tan 12 then the numerical value of dy? dx2 is equal to...-

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Q: Find the exact values of the six trigonometric functions of the angle 8 shown in the figure. (Use…

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Q: Find the sum. 59 4-5k Σ 9. k= 12 The sum is (Simplify your answer.)

A: I have appended the formula used in the solution part of the question

Q: 7.4 Partial Fractions 11.10 Taylor and Maclaurin Series Find the Taylor series for f(x) centered at…

A: We are given f(x) = 8x - 3x3 We have to find taylor's series expansion of f(x) centered at a=-2 and…

Q: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

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Q: Find the equation of the tangent line to the curve y = 6 tan z at the point (, 6). The equation of…

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Q: The population P of a culture of bacteria is described by the equation P = 1300e0.0527 where t is…

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Q: dx x+

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Q: flx) '(^) f'18)= xcas (28)

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Q: -8x+18 f(z) 9(z) The partial fraction decomposition of can be written in the form of 8x2 + 14x + 3…

A: Here we have to solve the problem by using the concept of partial fraction to obtain the desired…

Q: dx .4

A: we have to find out the integral

Q: 12) Find the equation of the ellipse that has one focus at (0, -5), and the length of its minor axis…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Sx2 In x dx X

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Q: 6. Solve the following differential equations: y'=e"(1+ y* ) a. 2+(y+2)x* =0; given y(-1) = 2. b.…

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Q: lim x+0 v25 + 8x – 5

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Q: 2. The region bounded by the given curves is rotated about the specified axis. Find the volume V of…

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Q: 5 tan a If f(2) = f'(x) - then f'(3) = %3D

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Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0, T]…

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Q: (a) dz (2z4 + 1)3

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Q: Rates of Change: Oscillating Spring At Answer the following question, and give a written…

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Q: 16. (sec x) dy ev+sin x || dx

A: Given query is to find the solution of the differential equation.

Q: The equation y = log(x – 3) has a vertical asymptote at: X =

A: The graph of log(f(x)) has a vertical asymptote at the value of x such that f(x)=0.Example: for…

Q: -13x²+4x³+2x-7 x²+3x-2

A: see below the calculation and answers

Q: dy Given the equation below, find dx 39x + 10ay + y° – 28 = -

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Q: (b) For the case a = 3, b = 4, and for the constant vector field F(x,y,z) = 4 1 + k , find the flux…

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Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: Jse a graphing calculator to construct a table of values and a graph for the first 10 terms of the…

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Q: f'(x) = f'(4) - L

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Q: 12x° + 45x + 100x + 8 and classify them using a Find the critical numbers of the function f(x) :…

A: Solution: f(x)= -12x5 +45x4 +100x3 +8

Q: .3 S cos³xVsinx dx

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Q: Find the particular solution determined by the initial condition. ds 17t +7t-6, s(0)= 86 dt %3D The…

A: The given differential equation is ; ds/dt = 17t2+7t-6, s(0)=86

Q: The equation yz = 2ln(x + z) defines a surface S in R3. The point P(0,0,1) is on the surface. (a)…

A: The given equation is: yz=2ln(x+z)⇒f(x,y,z)=yz-2ln(x+z)...(1)...(1) a) Now, the equation of the…

Q: Given f(z, y, z) = V31 – 4y + 6z, find fz(x, y, 2) = fy(x, y, z) = f:(1, y, z) = %3D

A: Given :f(x,y,x)=3x-4y+6z

Q: dy Given the equation below, find dæ 20a + 4x0y + y° = 25 dy dx Now, find the equation of the…

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Q: A rotating light is located 17 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: length of the curve r = 4 sin 20 for ÷sos 6 2

A: To find the length of the curve r=4 sin 2θ for π6≤θ≤π2.