attached question #2 for reference but need #5 answered

Q: 4x Compute (2x + 4yz) dz dæ dy 1

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Q: Now complete your IBP calculation from question 5 to calculate x In(x) dx. a. 글x리inlx)-1x2 +C b. 극x2…

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Q: Solve the following DE using variation of parameters (D – 1) y = e" + 1 -

A: Let's find.

Q: Find the denivatine.cf.tha follow.ing.vecter. Fumctanss. -j.t.In(l+3t)...k. a. e.

A: Since you have asked multiple questions in a single request so we will be answering only first…

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 that dr = ln a, find the exact value of a. V16 + 9x V9+ 4x?

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Q: dy Find the value of at x= 5 using Lagrange's interpolation formula from the given table dx 1 7 y 4

A: Given  x17y48 we have to find the value of dydx at x=5 using Lagrange's interpolation.

Q: Use the improved Eulers method to obtain a four decimal approximation of the indicated value. First…

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Q: ecimals is fin

A: Here we have to find the approximation of    With n=4 subintervals.

Q: Use Euler's modified formula to find an approximate value of y whenx = 0.3, given that = x+y and…

A: Given  dy/dx = x+y and y(0)=1 To determine y(0.3) using Euler's modified formula

Q: Approximate to three decimal places.

A: Approximate to three decimal places.  a csc 43°40'        b sec 0.26

Q: Evaluate the 2 intergrals attached as images with the question.

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Q: d'v dv -4 Ju 3) + 7V= 0 dyz hp

A: From the given differential equation: d2vdu2-4dvdu+7v=0 So, we can also write as: D2-4D+7v=0 So, the…

Q: The voltage, E, applied across an inductor with inductance L is given by E = L di dt Where i is the…

A: Initially when the current is passed through the inductor, at that time there will be 0 current that…

Q: (b) Find the value of e dx taking n = 6, correct to 5 significant figures by Simpson's one-third…

A: Find the value of ∫00.6 ex dx taking n =6 ,correct to 5 significant figures by Simpson's one-third…

Q: In the diagram, KL = NR and JL MR. What additional information is needed to show AJKL = AMNR by SAS?

A: Given△JKL and △MNR

Q: The temperature in Fairbanks is approximated by T(x) = 37 sin (x-101)+25, 365 where T(x) is the…

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Q: Given f(x, y) : 5x? + 5y2, evalue the following to at least 4 decimal places. fz( – 3, 1) =

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Q: What is the photon frequency (Terahertz = 1012 Hz) needed to move an electron in a hydrogen atom…

A: We will find out the required frequency.

Q: Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

A: 1. ∫13dz=13z+C2. ∫a3dx=a3x+C

Q: Can you please help me get the result of e^k, thank you!

A: We can solve using reciprocal relationship of exponential. e^x=1/(e^-x).

Q: If z = x - xy + 9y2 and (x, y) changes from (2, –1) to (1.97, –1.05), compare the values of Az and…

A: To compare: The values of ∆z and dz. Given information: The equation is z=x2-xy+9y2 and x,y changes…

Q: Find the principal values of tanh(1-j).

A: Use the trigonometric expression for tan (x-y) to expand the given hyperbolic trigonometric…

Q: Use the following data to answer question dy (1 + 2x),/y ,y(0) = 1.8 %3D dx Q. The value of y(0. 5)…

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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: Sheet No (1) 1- Evaluate (a) 1+4xy dxdy (ь) rsin'e dedr | dydx

A: Double integral is used to integrate the function of two variable over two-dimensional region.…

Q: the current in an electric circuit is given by di Ri +L==0 dt 18- where R=10 ohm and L=0.2 henry…

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Q: У(2ху+ 1)dx — хӑу %3D 0

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Q: If the approximated value of , 16x³ dx using Simpson's rule is 260.03, then the error in the…

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Q: When evaluated, | x sinh 3x² dx is equal to A. cosh3x? +C B. cosh3x? +C C. 3 cosh3x? +C D. 6 cosh3x…

A: we will let  3x2= t  to solve this question.

Q: Solve the  formula for the indicated variable. Mechanics F = mv2 / R  for R

A: The given equation is F=mv2R. To solve this equation for R , the variable R needs to be isolated…

Q: Runge-Kutta 4th

A: y' = y-x   , y(0) =2here h = 0.1f(x , y ) = y-xx0=0y0= 2y(0.1) = y(0) +16(k1+2k2+2k3+k4)k1 = (0.1)…

Q: QUESTION 4 Differentiate a) e8xcosx b) lnx sinx

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Q: The value of cos jn is equal to O a. sinh 7 O b. jcosh 7 Oc jsinh 7 O d. cosh 7

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Q: e vE dt 7laplare

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

A: Solution

Q: Differentiate the following. 4. 11 y cosec (sec x') 43 tranh2x

A: We need to differentiate the above two expressions with respect to x.

Q: 15. Si dt 1³ + 1² - 2t

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Q: 1. – 2e 3* ++ 52*)dx

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Q: Solve the following DE 3 X dy %3D

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Q: 12. V432 dx

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Q: If z = 9x + y² and (x, y) changes from (1, 3) to (0.95, 3.1), compare the values of Az and dz.…

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Q: ions f to h?

A: Month Folders Produced x Costs Jan 10 35 Feb 15 40 Mar 22 60 Apr 30 72 May 28 68 Jun 21…

Q: While evaluating the approximate value of | 2² dx, using Trapezoidal rule, taking h = 0.5, the value…

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Q: * Please explain how to get from A to B using the above imstRuction s Tha ncs 0.11 9.0909 > x…

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Q: Calculate dy dx.

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Q: The volume of a cylinder with height h and base diameter dis given by V= Describe the relationship…

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Q: (3) ds V3s2 + 1 (4) / sec?(3/t) dt VE

A: Note: As per companys guidelines we are supposed to solve only 1 question ∫s33s2+1dsSubstitute…

Q: Given that: 0 V40x – x² dx Find the value of m

A: From the given problem: I=∫04040x-x2dx So, we can also write as: ∫04040x-x2dx=∫040-x-202+400dx...1…

Q: Simplify the expression shown.

A: Leibnitz Rule ddx∫g(x)h(x)f(t)dt  =  f(h(x)) d(h(x))dx - f(g(x))d(g(x))dx

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.