Use L'Hospital to determine the following limit. Use exact values. In x lim glnz

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A: Given: u=3  θu=8v=1 θv=3

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A: Solving the problem by finding the value of the expression.

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Q: Is it log or ln that should be used?

A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…

Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

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Q: S16 -X2 dj dx x?+y?

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Q: 1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the…

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Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: x'sec'ydy – (1 – 2x²tany)dx = 0 %3D

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Q: For the function glven below, use algebra to evaluate the limits lim f( メー→+ lim f(x), and limf(x)…

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Q: II Three graphs labeled I, II, and III are shown above. They are the graphs of f,f', and f".Which…

A: Observe the each curve using slope and increasing decreasing properties.

Q: 4. The graph below depicts a function g(r). Its one asymptote is indicated in red: 4 -5 -4 -3 -2 -1…

A: Find your answer below

Q: EVAUATE FL) OF TRE DIFF ERENTIAL EQUATION AT zEto NITI AL CONDITONE. oit

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y2, (6,…

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Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 4. у %3D a sin(2x + 3)

A: To form the differential equation for the given function.

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Q: Learning Task 1: Directions: Solve for y in terms of x (isolate y on one side of the equation and…

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Q: tan x dx sec x+4 cosx 5.

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Q: your simpest form. factore. S dy (ay+ 13) Jyt4

A: the integration of the integral is 5/[(2y+12)(sqrt(y+4))].

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: Find an equation of the tangent plane to the surface at the given point. fx, у) %3 х2 - 2ху + у2,…

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Q: 6. Find the area of the region enclosed by the graphs of y = Vx+1 and y = }x – 2 and the vertical…

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Q: g (x) = sin(x) Compute IT IT + g' + g" 2

A: This question is based on derivative of a function.

Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: What is tan 0 if sin 0 = cos 0? -1 1 O Option 1 O Option 2 4 O Option 3 O Option 4

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: 1. How tall is Gio than Trixie? 2. How short is Ana than Leigh? 3. If Janela stood on a box that is…

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Q: Solve the elementary applications of Differential equation: 1. Suppose that the quantity of a…

A: 1. Suppose that the quantity of a radioactive substance originally weighing Xo grams decomposes at a…

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A: We are asked to find the family of curves of straight lines with slope and `y` -intercept equal.

Q: Ina swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement of water…

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Q: WORK. 1. Find the coordinates then plot the centroid of the given plate (below).

A: Follow the procedure given below.

Q: . Find two vectors that are orthogonal to the plane containing the points P = (3,0,1), Q = (4, -2,1)…

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Q: An ice cream cone is filled with ice cream and surmounted ice cream in the formof a hemisphere on…

A: Given problem:- An ice cream cone is filled with ice cream and surmounted ice cream in the form of a…

Q: he vectoi the given maghitude and the same direction as u. Magnitude Direction ||v|| = 19 u = (0, 2,…

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9996…

A: True error : true value - approximation. True error in Length of bridge: 1000 - 9996= 4 cm

Q: Exact ODE y'sin2nx-nycos 2rx

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Q: Find k so that the following function is continuous on any interval. S f(x) = 7x 2 < x kx 0 < x < 2…

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

Q: Direction: Solve the following equations using separation of variables. 2. y' = x(1+ y²)

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Q: x³ dx 9+x* 1.

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Q: If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x…

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Q: 4) represent the jollowing angles an higono metric cirde a7. + K2n 3. 4. c7 t. Eld

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Q: Given the hyperbola with the equation y – 9x? = -9, find the vertices, the foci, and the equations…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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