Given x = 15 In(t) and y = 225 t2 then find %3D %3D dy (Write %3D dx the simplified answer) d²y dæ? (Write the simplified answer)

Q: Given that y = ln a-7, find d %3D O dx dy d.x ||

A: GIVEN : y = ln |x2 - 7|

Q: Given x = 38t +38 and y = 152t2 + 108 dx (i) dt dy (ii) dt dy (write the simplified answer) (iii) dx

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Q: 4x2 +y d'y when = 2 and y = 1. 17 then evaluate %3D dx? (Answer accurate to two decimal places.)

A: This question can be solved using the concept of second order derivative.

Q: Given - dx y? -and and y(1) 1. Let h=0.2 Find an approximated value of "y" corresponding to x-1.6,…

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Q: If x? + y? = 100 and dy 8, find dt dx when y = 6. (Enter your answers as a comma-separated list.) dt…

A: Given that x2+y2=100dydt=8To find :dxdt when y=6Solution:x2+y2=100x=100-62=8x2+y2=100Diffranciate…

Q: Given x 12 sint + 30 and y= 12 cost +34 || %3D dx (i) dt dy (ii) dt

A: Apply here chain rule

Q: e 2x dx 4e2 – 8e + 5

A: We have to find anti derivative of given expression.

Q: The value of yx +y dx dy

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Q: Given e = 98 sint + 24 and y = 98 cost +3 da (*) dt dy (é) dt dy (é) da ||

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Q: [(e+1)?dx is equal to * The

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: If y = u and u =3x +3, find dy when x= 1. dx dy (Simplify your answer.) dx Ix 1

A: The solution is given as

Q: dy = y? – 4 dx

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Q: (x + y – 4)dx – (x – y + 2)dy = 0 Your answer Scanned with CamScanner

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Q: Simplify the expression shown.

A: Given:

Q: Solve the following equation using Bernoulli D.E. b. Alternative method dy + 2 = y? dx 4.

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Q: Use the information to find and compare Δy and dy. (Round your answers to three decimal places.) y =…

A: Given:  y=0.5x8, x=1, ∆x=dx=0.1 To determine: The value of ∆y and dy.

Q: Given x = 36t + 3 and y = 144t² + 119 dx (i) dt dy (ii) dt (iii: (write the dx simplified answer)

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Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: What is S ØQ,(x)dx if the given equation is dy y = 2xy?e¬x? | dx Select the correct response: -x2…

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Q: Given x = 6 ln(t) and y = 36 t² then find dy dx dx?

A: Let x = 6 ln(t) and y=36t2 Differentiate x with respect to t dxdt=ddt6 ln(t)=6ddtln(t)=6·1tdxdt=6t…

Q: Use the information to find and compare delta y and dy (round your answer to four decimal places)…

A: Given- y=x4+2,x=-1,dx=0.01,∆x=0.01 Differentiating Y w.r.t. x- dydx=4x3dy=4x3dx=4-130.01=-0.0400

Q: Given that y = 7 ln u and u = 6x? dy Use the formula dx dy in terms of x. dx dy du to find dz du

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Q: For a given table 2 4 6. 8 y 9. 16 23 d'y Find the value of at x = 4 using forward difference…

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Q: = For a given table 2 5 8 11 13 18 y 4 8 d' (a) Find the value of - dx at x=2 and x= 8 using forward…

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Q: Given that 1 -dx + dr = ln a, find the exact value of a. V16+9x² V9+4x* 1.

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Q: Find a solution to the SDE dX; = X,(ydX; + tdt), where y ER is a constant and Xo = 1.

A: The given equation is dXt=XtγdXt+tdt. The given initial condition is X0=1. The integration formula…

Q: Given x = 75 sint + 30 and y= 75 cost +4 dx (i) dt dy (ii) dt dy (iii) dx || ||

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Q: Given y = xy2 + e* calculate and report the value of dy when y = x = 1. dx

A: Differentiating using product rule

Q: Given that x = e'Iny, y > 0 dx (a) Using the product rule find an expression for dy dy and hence…

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Q: Given that x(t) = a[cost – sint], y(t) = b[sint + cost] what will the value dy at t = T/2 dx %3D

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Q: For the equation, y(x+y+1)dx + x(x+3y+2)dy = 0, what is dM/dy - dN/dx?

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Q: Given x = 32t + 1 and y = 160t? + 116 dx (i) dt dy (ii) dt dy (ii) dx || ||

A: x=32t+1 and y=160t2+116, then we have to find i. dxdtii. dydtiii. dydx

Q: The approximate value of | dx by using Simpson's rule is 0.3480, then the error in the approximation…

A: We have to find error.

Q: 35. x dx + Ja? - x² dy = 0. ,2

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Q: We know that y dy? arctan (e*+1) so whats the value for dx 1 a) e2a+2 +1 1 Ob) els+1)* +1 Need This…

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Q: 5. (1 + e*/") + e*/ dy

A: Solution

Q: dy Find implicitly. dx x?y – e – 7 = o dy xp

A: Given  x2y - ey -7=0

Q: For which value of a the equation dz dy dx =3 does hold? Oa.2 Ob.0 OC.3 O d. 1

A: This question is about application of integration

Q: if y=u, u=v -1/2 and v=lnx, what is the value of dy/dx at x=e

A: Calculate the value of dy/dx and then put x=e .

Q: Given a = 12 ln(t) and y = 144 t2 then find %3D dy dz &y dz2

A: x=12ln(t)y=144t2

Q: For what value of c does dt = 1? %3D e0.2t Need Help? Read It

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Q: Use the information to find and compare Δy and dy. (Round your answers to four decimal places.) y =…

A: Given , y=x4+9 and x=-1 ∆x=dx=0.01Differentiate y with respect to x , we get  y'=ddxx4+9…

Q: Which of the following is the actual du when integrating / dx? ¿xpt 2x dx a. 2x-4 b. x²dx c(2x 3 –…

A: Given: The integration ∫x22x3-4dx, To determine: The actual du when integrating the given…

Q: Given the IVP dy + 4y = x - 2, y(1) = 0, dx the value of y(2) is closest to

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Q: For which value of a the equation SSS dy dx dz 1 2 does hold? O a. 0 Ob.1 O.-1 O d. 2

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Q: Given y is the square root of x. Find dx/dt when y=2 and dy/dt= 1.75

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Q: dy – y – e* = 0 dx

A: We will find out the required general solution

Q: Given x = 61 sin t + 36 and y = 3721 cost – 29 - dx (i) dt dy (ii) dt dy (iii) dx

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Q: Use the information to find and compare Δy and dy. (Round your answers to four decimal places.) y =…

A: Given y = x4+3x=-2∆x = dx = 0.01

Q: 1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

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