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A: To evaluate : ∫032/2∫0xxy dy dx+∫32/23∫09-x2xy dy dx The general formula of integration is…

Q: 2. Show that the function u = p(xy) + Vry v(y/x) provides the equation = 0. dy? | dx²

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Q: Compute dy and ∆y for y = sqrt(x^3 + 1) for the change in x from x = 2 to x = 2.03. Is dy a good…

A: According to the given information, it is required to determine dy and Δ(y) for the given function…

Q: f"Ve-1) de (e* a) (e ) da Ante 1) de Bos birak

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…

Q: 2x Ex FIND THE DERIVATI VES %3D

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Q: dy Find for ( In (t), at t = 8. dx (Give an exact answer Use symbolic notatio

A: Here x and y are given in terms of t. So to find derivative of y with respect x we have to find…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 10 In(x) dx,n = 6

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Q: dy when t = 7. dx Evaluate y = 2z? – 3z + 5 x = 4t +t t = z? +z+1

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Q: Find fr and fy- pry S(27, y) = /" 2e" dt %3D f.(r, y) = | f„(x, y) = | %3D

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Q: Q, Determine the PDF for multiple RV Y (a) Y, = X,tXz+ X3 Con dition Xi,Xz, X3 are wni formly…

A: Let us consider Irwin-Hall distribution as follows: Let X1, X2, ...., Xn be a random sample of size…

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 4 10 In(x) dx, n = 6

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Q: A particle starts from rest and moves in a straight line such that the acceleration, a, in m/s2 ? =…

A: To find: The instantaneous velocity at t=2. Given: The acceleration of particle is a=12t2-24t+8.…

Q: Find the length of the curve y = Vcos 2t dt from x = 0 to x = T/4.

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Q: Let Rx) = o, Suppose that fy) is 7 times as large as R2). How do y and z compare? (Round your answer…

A: Given : fx=cx3.29  fy=7fz→1 Then  fy=cy3.29fz=cz3.29 So from (1) we have…

Q: 2. Show that the function u p(ry) + Vry v(y/x) provides the equation Pu = 0. ду? dx²

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Q: Find the averags vaha of change ef -+2over achof mal ta) From 2 to D) From to 2 {e) Fiem 0 ta 3 ta)…

A: Given function is fx=-2x2+2. To find: The average rate of change of function over the given…

Q: (c) Prove that L{Cost Si(t)- Sint Ci(t)} Logs s +1 %D

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Q: dx Evaluate J, +6x+10 by dividing the interval into 8 equal parts by using Trapezoidal rule.

A: The integral ∫15dxx2+6x+10. We have to evaluate this integral by dividing the interval into 8 equal…

Q: Estimate V26 by using linear approximation of f (æ) = V¤ about the value x 27. Round your answer to…

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Q: du Q. Show that du and dy for u = In Vx2 + y? %3D dy and v = tan

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Q: Q1 The following data is provided for the velocity of an object as a function of time: t, s V, m/s 4…

A: Answer is mentioned below   Please upvote if you like it. Thank you

Q: Evaluate fs xyz dS where S is the triangle with vertices (1,0,0), (0, 2, 0), (0, 1, 1).

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Q: -s Jatx? 3. 4-/ sinx coss dx |

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Q: DNE.) +2+ f defined on |-1,3] maximum (x, y) = minimum (x, y) = Need Helo?

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Q: 1D: Pt)= - 3t+ 18t189 for 0s+< 10 find the point of di mimishing returms (the rate af which this…

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Q: It G acts set tdansikivey then show that y Salgdnap Hof 0n A by to the actioh af en A fusthus then…

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Q: dy when t = 7. dx 13. Evaluate y = 2z? – 3z + 5 x = 4t' +t t = z? + z+1

A: Derivative of the function decides whether the function is increasing or decreasing. If the first…

Q: If Y - Exp(2) and Z ~ Exp(3) are independent, what is pdf of W = Y + Z?

A: Concept Sum of independent exponential distribution is gamma variate. Suppose X1, X2...,Xn ~exp(@)…

Q: What is the displacement of an object on the interval 0 ≤ t ≤ 9 if its velocity is V (t) = 6 -√√3t?…

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Q: The velocity of a car was read from its speedometer at 10-second intervals and recorded in the…

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Q: -d करर पर volue (occummot 0 ) at 4%interest for companded continuously r 7 vears tor the continuas…

A: The formula to calculate future value when compounding continuously of continuous income stream…

Q: Classify the y'+y enx=0 dlifferantial equeltion dnd Pind its generdl solvtion.

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Q: a/ tangent s lope rasinczo) ) when e zT 9. 父 A dy do 2 517 dる 2. fhe D not of tne above

A: Given,  r=sin (2θ) Recall:  Slope, m=dydx

Q: What is the acceleration (a = dv/dt) in m/s² of the rocket at t = 1.2 seconds. Given the function…

A: We know that formula of central divided difference approximation:      f i ′ = ( f (i + 1) − f( i −…

Q: Check the deviation theorem for the function v(x, y, z) = r²sin0 î + 4r²cos0 Ô + r?tan0 @

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Q: Q1 The following data is provided for the velocity of an object as a function of time: V, m/s 4 8 12…

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Q: bot A de groutne conitant. est Cheafuntis uh that f cark3 and f'4)=-s. g(xl=In (f(x)) + A conx)

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Q: dy What is the value of dx at the point (1,0) if y = In(x² + y²)? %3D Undefined O 1 O 2

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Q: Show for Re(z) > 1 -dx = r(z) (2). et - 1

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Q: Suppos analyts s? show work. you

A: Given that f is analytic. And z≤1 And f(0)=0 And f(5)≤5 The formula for derivative is,…

Q: 3. A body moves along a horizontal line in accordance to s= t3 + 9t2 + 24t. Find the total distance…

A: Given, s=t3+9t2+24t To find: Total distance travelled in first 5 seconds of its motion.

Q: Q3/ Evaluate 2 vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

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Q: 4. Use Green's Theorem to evaluate | ay dx + (1 – ry) dy where C is shown below y (14) F1,2), (1.1)…

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Q: Q1 The following data is provided for the velocity of an object as a function of time: ts V, m/s 4…

A: The trapezoidal rule is used to calculate the numerical integration over a region. The formula used…

Q: (e). y" = 8(t – 5), y(0) = y'(0) = y"(0) = 0, where d is impulse function. %3D

A: The Laplace transformation is used to solve an initial value problem. First, we take the Laplace…

Q: %3D %3D In MIMI2 9.5. Ly=, Wq= F and L== au Find : Po =? and P,= ?

A: A/B/c Queueing System: A is the interarrival-time distribution. B is the service-time distribution.…

Q: Use the Linear Approximation to f(x, y) = V at (81, 16) to estimate 15.9 (Use decimal notation. Give…

A: Given:     f,(x,y) = √(x/y)      Point: (81, 16 )    Approximation : √(81.1/15.9)

Q: 2s+3 13. F(s) = s2–5

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Q: 1 dx (i): Trapezoidal rule, (ii): Simpson’s 1/3 rule, taking 6 equal intervals, J0 x3+x+1

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Q: Q3/ Evaluate Sz Vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A: 3 Given integral is ∫0π2sinxdx. i We have to evaluate the given integral by using trapezoidal rule.…