EX Use Euler's method ( modified) to approx; mat e y' = x+y for yC1) = 1; h=o.1,13X

Q: dy Find dx 3 if y = #(log,(2® – 62))°

A: Given, y=x(log2(x6-6x))3 To find dydx

Q: . Fing the coefficient of x' and x' 9 10 expanston of any x in the (22- * Find the qe from of (2+ -5…

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Q: 2 The length of the curve y = 312 between x = 0 and x = 1 is 3 %3D %3D

A: Answer is 4√2/3 unit.

Q: •L. VAL 5. If F(x) = a. F'(1) b. F(2), by interpreting F(2) as an area √4t t² dt, evaluate the…

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Q: To find the blue shaded area above, we would calculate: b [ f(x) dx = area Where: a 1 f(x) ■ Area ■…

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Q: Evaluate e |/| 2xz dV where E = {(x, y, z) | 0 < z < 1, ¤ < y < 2x, 0 < z < z + 3y} E Round your…

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Q: The first derivative of the function y = f(r) = (2x²) / (3r³) %3D Lütfen birini seçin: O a. dy / d.r…

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Q: Evaluate: ƒ³, ƒ²₁ √√₁²[z³(x + y)³] dz dy dx -3

A: Given :∫-33∫-12∫01z3x+y3dzdydx

Q: Find the length of the graph of f(x) = ln sec x from x = 0 to x = r/6.

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Q: Romberg integration is used to approximate dx. 1+x3 If R11 = 0.250 and R22 0.2315, what is R21? %3D

A: Solution

Q: 1.3 Evaluate ſ, Vx dx taking h = 0.05 by trapezoidal rule.

A: evaluate ∫11.3x dx taking h=0.05 by trapezoidal rule according to trapezoidal rule ∫11.3x dx≈Tn…

Q: 1890 dous 7. z = x² + xy + 3y², (1, 1, 5)

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Q: 2. It Z = e tanly) , wnere x = S"+ t and y=St, find 22 when S=1 and t =0 2t

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Q: Find df / dx and of / dy. f(x,y) = elx +y+7) (x +y +7) of I dx =

A: Given : fx,y = ex+y+7

Q: 1-t For which functions does y' ? Select all that apply.

A: Given that  y' and we find a function f(x,y). Here i attached solution of this question.

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

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

Q: Find the second derivative of y = (4 – 2x)2 + 2sinx. dy Directly type your answer WITHOUT y' or dx…

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Q: So (xs +x) dx 24.47 %3D The bet ween y = sin x and the x - axis for area

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Q: 3.3 Find the derivative. y = 3x°e* %3D y' = II

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 1 find d'y dx3 Suppose y = X-1 x+1 A. 4 4 4 C. 4 (x + 1)6 (x – 1)6 (x + 1)6 * (x – 1)6 В. 6 6 6 D.…

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Q: Evaluate S. So dy 0 dx √√[y(1+x²)]

A: Problem is solved using concept of integral.

Q: Seatwork: Find the y'. 1. y = 5e2x 2. y = ex²+2x-1 3. y = x In Vx 4. y = 5ln x 5. y = In () x+1 'x…

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Q: Q1/ Find the maxima, minima and saddle points for the following function and the value of the…

A: Since you have asked for multiple questions, we will solve the first question for you. If you want…

Q: en a rectangular box. Lengths are in cm 2 x X X

A: Given query is to find rate of change of volume.

Q: 2 Ex3/2 between x = 0 and x = 1 is 3 %3D %3D The length of the curve y

A: Introduction :

Q: 00 for For two independent lives age 40, you are given that H40(t) t< 60. Calculate Var(T40:40). %3D

A: It is given that two independent lives age =40. Also given, μ40(t)=80-t for t&lt;60. μ40(t)=80-tt…

Q: 3. Find h'(x) and h" (x) if h(x) = sec 2r + tan 2r. %3D d 3 4. Find drª 2.r 5. Find D[2 tan 3r|]. 6.…

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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.