M is the midpoint of AB 2x + 1 and MB AM = %3D 1 ond AM

Q: Find the total differential. 4x + у W = 6z - 2y dw II

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Q: dP 5. = P- p2 cet Ans: %3D %3D dt 1-P

A: topic - differential  equation

Q: f(x) = (13 + 6t² + 1) dt

A: SOLUTION-

Q: Find d2y/dx2 implicitly in terms of x and y.

A: Implicit differentiation involves the treatment of one of the variables as a function of another and…

Q: Find the complete solution of d dt 5t Vs

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Q: 2t dt (t + 1)v5t – 7

A: ∫2x2x+15x-7dx Take the constant out:  ∫a·fxdx=a·∫fxdx =2·∫x2x+15x-7dx Substitute u = x+1…

Q: Find the convolution f (t ) *g(t) f(t)=t^2,g(t)=cost

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Q: dóllars) of iscuss which of the models below the company might pref b.

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Q: Find the point on the line – 6x + 2y – 1 = 0 whic closest to the point (5 0)

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Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: f(t) = 2.4(1.003)*; f(t) = Qoekt %3D %3D

A: Given, f(x)=3e2x This given function is to be converted in the form f(x)=Abx Comparing ,…

Q: 3 5) Differentiate with respect to x: y = %3D 3x e

A: Solving the problem by finding the differentiation.

Q: 5. Show that T = + y? satisfies the equation T + Tyy = T³

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Q: Solve the DE f'(x) = 5x given that f(0) = 3. %3D A y +3

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Q: Is the function y = Cx? a solution to the ODE y" – xy' + y = 0?

A: Using Derivatives.

Q: the extremum of f(x,y) = 7x²y² +5y² 9x?. +

A: Given that: f(x, y)=7x2y2+5y2+9x2

Q: Evaluate..(x+.2.y.)dA..„.where.D.is.theregron. sunded. by.the.paradoolas.yz2x.and.y..l+x. 2 2

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Q: d (d) (e +2x)°] = 3(e + 2x)² (eª + 2) dt

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Q: t3 dt 6) f Vt2 + a?

A: Given Data The integral is     Let,

Q: Find the extremum of f(x,y) = 6x²y² +4y² + 4x².

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Q: oy=x²+6x+ 5 a = %3D %3D %3D

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Q: dx O a 2 In + C O b + 32+321 + C O d + 32+ 32 In(x+V16x2 + 32]] + C

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Q: M is the midpoint of line segment AB and AM=7(5x+2) and MV=8(6x-3). Find x and AB. Round your…

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Q: T Q2/ Reversing the order of integration fxsinydydx.

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Q: Calculate L{uz(t) (t² – 7t − 2)}

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Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: j. f'(2) appears to have a value of

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Q: dy +y%3D2lnx The integrating factor of xInx- Select one: a. In2x O b. C. Inx O d. In3x

A: We have to find the integrating factor of the following differential equation -  ⇒ xlnxdydx+y = 2lnx

Q: find dy/dt. y = 3t (2t2 - 5)4

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Q: F(2) = | (t + 2) dt. %3D

A: Given F(x)=∫0x(t+2)dt

Q: - show that; L-1[e¬v$] = e %3D 2tynt

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Q: (b) F(x) 1 dt V1+ t6 Do not gimplifu vou

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Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D

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Q: B) Then show | x + y|<|x| +1y|

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Q: (d) ſhxdx jnxdx (е) [xsin? 2xdxх (1) f(5-t)*dt

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Q: a prob. 174 Find (c) E (XY)

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Q: Is the equation t²y' (1) t + 4 - separable? y?

A: t2y't=t+4y2

Q: d (1+t³) 5. dt {262+ 1)A}

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Q: d³r dz +t- dt3 (c) 4tx = 0 %3D dt

A: The solution is given as

Q: (d) If g(x) = Vx + 1, derive g-(y). %3D

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Q: Find the extremum of f(x,y) = 3x2y2 +2y2 + 2x2.

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Q: 2x?ydx+ ydx + хӑу %3D 0 e.

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Q: Solve the dff oq dy 3x寸票-5-2 %3D

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Q: Is the function y = Cx² a solution to the ODE y" – xy' + y = 0?

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Q: da 9. with #(0) = 20 %3D dt -3 *1(t) = (formulas) x2(t) =

A: We written as the form  x'1x'2=39-1-3x1x2 x'1=3x1+9x2..........1x'2=-x1-3x2..........2 Now,…

Q: Find de máximum and minimun of the equation f(x)= 2x^4+x^3, [-4,-1]

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Q: d²y dy +y=1²-2t +3 4- dt? dt

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Q: ationalize the d V49

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Q: Find the orthogonal trajectories to 4x? = a - 3x*y?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.