Solve the following differential equations of 1- ye** . dy = dx; dy 2-- %3(1+ y*)e* dx m dy x(2lnx+1) o dx sin y+ y cos y dy 4- e*** . dx x+y

Q: . Use implicit differentiation to find the first derivative of x + 2xy =5

A:   As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question ...

Q: Consider the following. (In(x)) , dx The process of evaluating this integral can be started using in...

A: See the details solution in below

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Q: If y = x – 1, find the length of the graph of f from point x = 0 to x = 1. 3

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Q: B In Problems 23-62, summarize the pertinent information ob- tained by applying the graphing strateg...

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A: Given problem:-

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Q: a Problems 25–32, use L'Hôpital's rule to find the limit. Note nat in these problems, neither algebr...

A: We will use the l'Hospital's rule to find the limit.

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent ...

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Q: Which of the following differential equation can be solved using separation variables? a. (x-2y)dx +...

A: Topic:- differential equations  

Q: What is equation of this graph

A: Equation of straight line : y = mx + b From the graph : y = x(t) and x = t Now, Equation Of straight...

Q: k-1 Since the series can be rewritten in the form )4 it is a geometric series with: k=1 a = r = Give...

A: Expand the series using values of k

Q: Which of the following is a correct classification of the differential equation: xyl" + 2(y')* – y =...

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

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Q: dt (b) z = x?y where x = st and y = t2 – s2 dz 2st?(t? – s?)? – 4s³t²(t? – s²) as answer: az 2s²t(t?...

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Q: The pressure, volume and temperature of an ideal gas are related by the equation 8.31T P(T,V) = V Wh...

A: Given, P(T,V)=(8.31T)/V At centre V=12litre and T=310k

Q: The equation of a circle is given below. Identify the radius and the center. Then graph the circle. ...

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Q: cos (In4x2) dx

A: Topic:- integration

Q: B. Determine the intervals wherein the function is continuous and the values of x wherein there is d...

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

A: ∫ex-14×1x-14dx Let us take u= x-14, then differentiating u with respect to x, we get   du = 12x-14dx...

Q: 1. The formula for finding the arc length of a curve, given in parametric equations, is as follows A...

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Q: Evaluate the integral. – 17e +C dx

A: Based on the general formula used for integration we will evaluate this integration problem. Integra...

Q: 4. One -third of x is square of the cube root of y. 5. The square of half of x is 1 greater than twi...

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Q: Evaluate. Show all your worH In x -dp- 1 5

A: Here, to evalaute the defiite integral: I=∫5∞ln xx2dx...(1)

Q: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the exa...

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Q: A graphing calculator is recommended. An elastic band is hung on a hook and a mass is hung on the lo...

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Q: 8 In Problems 31–40, find the intervals on which the graph of f is concave upward, the intervals on ...

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Q: d. tanY

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Q: Find the limit of the following sequences or show why they diverge. n2 – 2n + 1 (a) - en n+ (b)

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Q: a. b. y g(x) g(x) 5 4- -3 3 5 -2 -1 -1- -2 -3 -2-

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: | tan įx sec? įx dz:

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Q: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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Q: S csc*t cot²t dt

A: ∫csc4t cot2t dt

Q: 7. One secretary can do a particular job in 6 hours and another secretary can do the same job in 4 h...

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only first ques...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 (-1)*+1 Σ 7...

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Q: is(=) – 9(=)] dz = F(2) – G(z) + C. The power rule: a dx3=D +C,r+ -1. r+1 NOTE: Enter the ezact answ...

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Q: Eliminate the arbitrary constants c, and c, from y = c, +C,e*

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Q: 3. Find the first derivative of y = (x² – 4x + 1)5. %3D

A: Topic :- derivatives  Note:- as per our guideline if more than one question uploaded than only first...

Q: Find the average rate of change of the function f(t) = 24t from t 5 to t 7.

A: Given     f(t) = 24 t²  

Q: x2+y (c) = 17 |3D x+y2 dy answer: dx 2x(x+y²)-(x²+y) x+y2-2y(x²+y) (d) In(x² + xy + y²) = 1 -(2x+y) ...

A: We have to find dydx of given function  

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 27 dx +C %3D

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Q: Determine whether the series converges using the limit comparison test. 4k2 – 2k + 5 Σ 16k6 + k - 16...

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Q: 1. 2y" – 7y" + 12y + 8y

A: Solution

Q: A point starts at the location (6, 0) and travels 15 units CCW along a circle with a radius of 6 uni...

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Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

A: Given integral is solved below in detail.

Q: х3+ 4x2-9х-36 3. У 3 4x2+28х+48

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Q: Find the tangent line in the x direction, l_x(t). b. Find the directional tangent line, l_u(?), wher...

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Q: 22. An important and very useful exact differential to (2y? +2x² + y)dx – xdy = 0 a. InX %3D C. InY ...

A: We know, xdy-ydxx2=dyx dx1+x2=tan-1(x)  

Q: Write all the possible values of random variable A: Product of two numbers taken from two boxes cont...

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