dy Зу (x + 1)+ dx x+1 2.

Q: In(x) dx Vx

A:

Q: Use a linear approximation (or differentials) to estimate the given number.   sqrt(100.8)

A: Given that

Q: give 3 examples of the reciprocal rule of integration formula

A: The reciprocal rule for the integration is: ∫f'(x)f(x)dx=ln |f(x)|+C

Q: Prove the formula.

A: Given a function Arc Sine Hyperbolic (t). We need to find the derivative of the function. Let's…

Q: sec( c)+y dy e sec do

A: Given differential equation is homogeneous equation

Q: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

A: Find the general solution Using Integrating Factors Found by Inspection. Show complete solution.…

Q: You would like to use differentials to approximate the change in BMI when weight increases from 55…

A: Given: The function represents body mass index(BMI) is  Bw,h=wh2 where, w means weight in kilograms…

Q: The integration of dx is 4+x²

A: The given integral ∫dx4+x2 can be evaluated as, ∫dx4+x2=∫dxx2+22                =12tan-1x2+C…

Q: 3. f Arccos 2xdx

A:

Q: What is the integrating factor y x² = 2 (2x - y)?

A: The given equation is; y'=2(2x-y).

Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A:

Q: 3. у' %3D 2ху — х

A:

Q: What is the integrating factor of xy' + 6y = 3xy3?

A:

Q: What is an integrating factor of the nonexact DE  (2y^2 + 3x) dx + xydy = 0 ?

A:

Q: Find the derivative of In(3t3— 2t + 1) and then calculate  ∫ (9t2-2/3t3-2t+1) + 3 dt (use…

A: Given         ln(3t3-2t+1)

Q: (6xy)dx + 4y +9x ² )civ = 0

A:

Q: When I am solving an integration question, how should I know which expression to equate to 'u' in…

A:

Q: Without integrating, explain why: S, ?)°dx = o x(1+ x* -2

A: To show:     ∫-22x1+x22dx = 0 (without integrating)

Q: find dy / dx by implicit differentiation.

A: Given equation is x4y-8xy+3xy2=9. To find dydx. Solution: Power rule of differentiation states that:…

Q: What is the integrating factor of (y – cos² x) dx + cos xdy = 0?

A:

Q: Use a linear approximation (or differentials) to estimate the given number. (1.999)3

A: First I have find the linearization of x^3 near x=2 and then find the required approximated value.…

Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: 2 ydx -3ху-dx — хӑу — 0 xdy = 0

A:

Q: Use a linear approximation (or differentials) to estimate the given number. (1.999)5

A: Given term is (1.999)5Let x = 1.999

Q: Find the Integrating Factor of dy + 2ytanx = sinx dx

A: This is 1st Order Linear Differential Equation.

Q: dx 2.

A:

Q: Find the integrating factor of dy/dx+2y tanx=sinx

A:

Q: •2 5. Calculate | x In(3x)dx.

A: Given integral:

Q: V9.22

A:

Q: The integrating factor of 3xdy + 3y dx is

A: given differential equation: 3xdy+3ydx=0 Remember :  A differential equation of the form…

Q: 3. Verify the statement by showing that the derivative of the right side is equal to the integrand…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

A:

Q: 1 .2 2 dx = 0 xe 0- -

A: Given: 12π∫-∞∞xe-x22dx=0   We know that; ∫eax+bdx=eax+ba+C     Note: As per Bartleby guidelines we…

Q: Use a linear approximation (or differentials) to estimate the number V100.5

A: To find 100.5Let y=xLet x=100 and ∆x=0.5⇒y=100y=10Differentiate…

Q: Use a linear approximation (or differentials) to  estimate the given number.  (1.999)4

A: Consider  1.9994

Q: ex dx

A:

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

A:

Q: Give the integrating factor for 3((y^4)+1)dx+4x(y^3)dy=0. (in terms of x)

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Q: The Bernoulli's equation dy +ytanx = y'sec x after multiplying dx -2y and use appropriate…

A:

Q: SOLVE USING INTEGRATING FACTOR 2. (2y2 + 2 In x +1) dx +2xydy = 0

A:

Q: The integrating factor of the equation (2 + y + x) dx + xydy = 0 is

A:

Q: 7. Solve by using an integrating factor. (a) y + 2ty = 2te-t. %3D

A:

Q: Find the integrating factor of dy/dx +2ytanx=sinx

A:

Q: Integrate x?dx

A:

Q: x e* dx

A:

Q: What is the integrating factor of y' - 2xy x?

A: