Which of the following is equivalent to 4x'y 1. 16x? y10 2. 16x? y25 3. 8x2 y10 4. 8x y25

Q: xe 2, x Cosz dx

A: Integration by parts, ∫udv=uv-∫vdu u is the first function Given integral, ∫x exdx

Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

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Q: What is the first derivative of q(x) = In (4x² + 3x+2)? Select the correct answer below: In (8z + 3)…

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Q: 4. [ ]Find the derivative of y with respect to the given independent variable: Ins 7x (a) ex³y = 2x…

A: Given equation ex2y=2x+2y   As per our guideline, we  supposed to answer only the first three…

Q: A particle moves in a straight line such that its acceleration when at position x (with respect to a…

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Q: Use Euler's Method with an appropriate h value of your choosing to estimate y(4) with y = 0.5, y (1)…

A: Topic- Differential Equation

Q: The 2nd derivative of y = 24r is A 2*+2 In(8) B 2tr+4 In(4) © 24r+4 In(2)

A: Given that: y=24x

Q: 4. Show that 2 s w (b) L(t sinh (wt)) (s² – w²)2 -

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Q: Calculate the derivative indicated.

A: Given: s=4z-16z2 To Find:  dsdzz=2=?

Q: 2. Calculate the derivative of the following. А. y = (x* – 3x² + 5x) ³ DUKAS B. y = tan²(x² + 5x –…

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Q: Use Milne's method to obtain the value of y(0-3).

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Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 17°,…

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Q: Differentiate: F(y) (y + 9y°) yA - y?

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Q: 2 L sinh–t|= 3 6. 9s2 – 4 3 2s2-4 6. s² – 4 - 3s2 – 4

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Q: )L{sinh(7t) + (2t + 1)U (t – 1)},

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Q: Jz{sinh³ 4z*)'^ ² - dz 1/4 cosh³ 4z'

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Q: Use differentials to approximate V36.1. 3.

A: Consider y = root x.Let take x = 36 and delta x = 0.1.Find delta y as follows.

Q: Find the fourth derivative of ƒ (z) = 4z" f(4) (z) =

A: We can make it easier for you

Q: The general antiderivative determined by - x² - 3x +2 is dx

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

A: Solis as follows

Q: dx. J x² + 2x + 5 x+1 11 arctan x+1 11 ;+ 2x – In [/r² + 2x + S- *+ 2x + In Vx? + 2x +5+, arctan 2 2…

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Q: Use differentials to approximate the value of: 26

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Q: complete solution

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Q: What is the derivative of y x2 e+ 3x -2 ? %3D O y = (6x³ + 3x? +2) ez?+2z - 2 %3D O y = (6x + 3)…

A: Topic = Derivataive

Q: rdr 17. S- V16-9r4 dy 18. S; 3x2-2x+5

A: Given

Q: Obtain the general solution using variation of parameter. (D² + 1)y= cotx

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Q: y = In (5x- 6x • 6), Hthe derivative, y' 2. 1S

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Q: 2 If 3x? + 4x + xy = 1 and y(1) = - 6, find y'(1) by implicit differentiation.

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Q: Differentiate implicitly to find dz if xz + In(xy) + = 10.

A: Given an equation We have to apply the implicit differention to the equation

Q: Use the hyperbolic identity cosh(2x)= 2 cosh2 (x)-1 to solve 4 cosh(2x)– 22 cosh(x)+ 19 = 0 .

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Q: Find the derivativeof the following function:

A: To determine derivative of the function.

Q: Find 2 at the point (4,1,6) for -6x² + 7 ln xz + 4yz² – 2e? = 0 %3D

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Q: 4. y2 +2xy 4, find y" Ans. y" = (x+y)

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Q: Find the derivative. |4t +5 dt O A. V4x+5 O B. V4x+5 - 5 2 OC. V4x +5 OD. (ax + 5)/2

A: It is given that, y=∫0x4t+5 dtWe have to find the derivative.

Q: Use differentials to approximate the value of s2.1. O 100+6ln5 4 O 50+5ln5 2. O 100+5ln5 4. O…

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Q: Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A: Given

Q: Suppose that y is inversly proportional to x. If y = 6 when x = 3, find thd constant of…

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Q: Express he equation n" = 4y in poar corinaes.

A: Given equation x2=4y

Q: A) Differentiate y = 4Vx +- +1 8 6 B) Find the second derivative of y = 4Vx + 8 + 10 Vx

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Q: Find the derivative of 5e* 1. y = e 6x 3. y = 2x+3x 2. y = e* + e3x 4. y = (e* + ex)1/2

A: Quotient Rule of differentiation : ddxuv=v.dudx-dvdx.uv2 deaxdx=aeax dxndx=n.xn-1

Q: Find the approximate root of y = 2x2 + 4x – 6 when x = 0.01 using differentials. -

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Q: Differentiate the following functions y = 4sin(2x) + 3cos(4x) y = 6e3x + ln(2x)

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Q: dy 3-t=8 dt

A: As per our guidelines we only solve one question and rest of the question will be reposted. Hint: To…

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

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Q: * 2e² + 6z² – 8z + 6 cosh 3z dz ez + z3 – 2z2 + sinh 3z |

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Q: Q2 find the derivative of the following: 1) y = 2stn (5x) 2) y = Inxn cosh 5x ,3) xsin14y = y tan-4x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: Differentiate y = rarctan(e") re arctan(e")+ re Option 2 Option 3 re arctan(e") - Option 4 None of…

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Q: Use differentials to approximate the value of V32.03.

A: Let us consider that,' y=x15....(1)   x=32.0Andx+∆x=32.03It means that: ∆x=32.03-32.0=0.03