3. 2y(x2 – y + x)dx + (x² – 2y)dy = 0 %3D

Q: Obtain the general solution   mydx = nxdy   Ans. xm =cyn

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Q: Find the coordinates of the points where the gradient is zero on the curve y=x+1/x. Establish whethe...

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Q: The graph shown is f(x) = In(x + 3). 5 4 2+ 5 4 32 -14 1 2 3 4 5 -2 3 What is the integral function ...

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Q: What is the general solution to the differential equation (1 + x²)+ xy dy (1+x²)"½ dx

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Q: 4. Which of the following represents the differential equation of the family of parabola having thei...

A: Follow the procedure given below.

Q: Water whose temperature is at 100° C is left to cool in a room where the temperature is 60° C. After...

A: We have to find the time for the water temperature to reach 70° C .

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Performance Task *Solving Optimization Problem Directions. Read each of the problem carefully and th...

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Q: A boy is flying a kite at a height of 150 ft. If the kite moves horizont ally away from the boy at 2...

A: Topic = Triangle

Q: The atmospheric pressure P(h) (in pounds per square inch) at a height h (in miles) above sea level o...

A: Given:         The atmospheric pressure                       P'=-kP Measurements with barometer sho...

Q: Sx sin2x dx

A: I am integrating the above term by integration by parts method. 

Q: Assume the point (6, 3) is on the graph of y = f(x). Determine the value of n in the following situa...

A: y=f(x)Susbstitute (x,y)=(6,3)3=f(6)   --->1a) y=7f(x)Susbstitute (x,y)=(6,n)n=7f(6)   n=7×3     [...

Q: HELP

A: Please refer to the image below

Q: Q5: Find the zeros of the function- all real values of x such that f(x) = 0 a) f(x) = x² + 2x + 3x +...

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Q: Given revenue and cost functions R(g) = 90g - 0.4g and C(g) = 13g + 550, find the maximum revenue th...

A: Given query is to find the maximum revenue possible.

Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: For the radioactive substance, the equation of life is given by: N=N0e-kt...(1)

Q: 7. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 if the digi...

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Q: sociated series. 1. (5)"

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Q: the time for the water temperature to reach 70° C E

A: Follow the procedure given below.

Q: Which of the following is not true? Select one: d [uv] = uu' + vd dx O d [uv] = u · + v • u' dx v - ...

A: topic - derivative rules

Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Given,            fx=e5x , c=0To find : The taylor series centered at c for the given function.We kn...

Q: f(x) = 1- (1/(x+2)^2)  find f(-x) and f(x+k)

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Q: 1. Prove that the sum of the consecutive cubes is given by this formula: n²(n+1) 4 13 + 23 + 33 +..+...

A: Given; 1) 13+23+33+...+n3=n2(n+1)2/4 Repost the next questions.

Q: ( ग০) (১০ for the following func tion ? -WX-+5inZっメー +SinZっメー

A: w=x2+y2-z+sin zx+y=z(∂w∂y)x =ddy(x2+y2-(x+y)+sin(x+y))            =[0+2y-1+cos(x+y)(0+1)](∂w∂y)x =2y...

Q: .Sx Vx+1 dx

A: The integration of the integral is x√(x+1).

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

A: topic - differential equations

Q: 2. The equation y² = cx is the general solution of which of the following differential equ tion? dy ...

A: y2 = cx ...(1)c=y2x ...(2)differentiating w.r.t.  x;2y dydx= c (1)dydx=c2ydydx =12yy2xdydx =(y2x)

Q: S 4G- e-) cos (e?+ Inz) dz | A 4 sin (e-z+ In z) + C C sin (e-2 + In z) + C 4 sin (- e-) + C sin (- ...

A: Solving the problem by finding the integration.

Q: ху - Зу - 7x +21 lim (Simplify your answer.) x- 3 (x.y)-(3,2) X+3

A: First we take fraction then take limit. 

Q: a. What is the measure of the subtended arc in units of - of the circle's circumference? Preview b. ...

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Q: Find the indefinite integral. (Use C for the constant of integration.) t° Vt9 - 23 dt

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Q: Determine whether the alternating series converges. 7ln k k k=3

A: This is a problem of series calculation. By using several test method we can decide whether series i...

Q: Find the trapezoid approximation of V1 +x dxusing four subintervals. o T4 = 2VT + 0.25 + 2/1 + 0.50 ...

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Q: b. Suppose g(x) = 969 – 0.9x³. - i. What monomial expression best estimates g(x) for very large valu...

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Q: Find the radius of convergence and the interval of convergence. of Σ k(k + 1) k=1 1) First apply the...

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Q: Determine whether the alternating series converges. 4ln k Σ- k O The series converges. O The series ...

A: Given Series ∑k=3∞ -1k4lnkk  

Q: Monte Carlo integration is used to estimate the integral 2 4 I = 5 dz dy dx by generating random poi...

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Q: Find the directional derivative of the function at the given point in the direction of the vector v....

A: g(s, t) =st(a) The gradient is just the vector of partial derivatives. The partial derivatives of g ...

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = x0 and then find the nth Taylor...

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Q: Determine the vertical asymptotes of the graph of the function. Give your answers as equations in ex...

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Q: Obtain the general solution of the following differential equations. 4. y'dx+e* dy = 0 Ans. e +y = c...

A: differential equation

Q: Suppose f(x) = – 0.5 · x² + 3 graphing calculator (like Desmos function f. a. Determine the interval...

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Q: A polynomial f(x) and one or more of its zeros are given. fa) = 5x-73x+292x-150 7+i is a zero Part: ...

A: We have to find the zeros of f(x) if given a zero is 7+i

Q: For the function g whose graph is given below 구 2- 10 -9 -8 -7 -6 -5 -3-2 Determine the the limit of...

A: find the limit of function at given points.

Q: Suppose f is a quadratic function that has roots at x = - 5 and x = 8, and f(0) = 15. We will write ...

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Q: At 9:00am a thermometer reading 70° F is taken outdoors where the temperature is 15°F.At 9:05am, the...

A: Newton's law of cooling is;dTdt=-k(T-Ta)dT(T-Ta)=-k dt(T-Ta)=C e-ktT=Ta + C e-kt

Q: Given cost function C(q) = q° - 130q + 2600q, what quantity minimizes average cost?

A: We use differentiation to find the quantity to minimize the cost.

Q: The graph of a rational function (2а — 3)(4x + 5) f(x) is shown below. (x) (г — 3)(2а — 3) 12 3 12 1...

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Q: The graphs of two functions f and g are shown below. 4 3 2 12 4 5 -2 -4 a. Write a function formula ...

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