Sotve (D + 1) y = 0, t> 0, ify=yo when t= 0

Q: Find fx, fy, Tz (3x2 + y2 + 2z²) f(x,y,z) = e - fx=

A: f =e-3x2-y2-2z2  For fx ,we take y and z as constant and x as variable.  fx=∂f∂x For fy , we take x…

Q: xyz 3. If (x, y.2)= In +ef), find f,,f, and f.. 4

A: Given: fx,y,z=lnxyz4+e-3xy2z2 The objective is to find fx, fy and fz

Q: F(s) = (8s + 11)/[(s-4)(s²+9)] %3D

A:

Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: dy 2ty ii) 12+1 - 21 – (2 – In(t² +1)) = 0; y(5) = 0

A: Differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x Given differential…

Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: y = 8e*, on x e [0, 2]

A:

Q: If f(3) 12 and f '(x) 2 1 for 3 sxs 7, how small can f(7) possibly be? Enhanced Feedback

A:

Q: dy -is If y = In(x-5), then dx 4x x-5 4. 3x 4 x-5 4x 3. 4x +5

A:

Q: (2siny + 1) = 4 and y(0) = what is x when y =n?

A:

Q: y = 2sinx and y = 0 from x = T to x = 4 π 2

A: The given curves are y=2sinx and y=0 from x=-π4 to x=π2. So, the bounded region is as shown below;…

Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

A:

Q: n(Σxy) - (Σχ)(Σy) VnEx - (Σ] [ nEy? - (Ey}]

A: Given Data is Baby x y A 8 56 B 5 44 C 11 79 D 13 72 E 10 70 F 5 54 G 18 94 H 15…

Q: y'(t) = In(y- 3) %3D

A:

Q: L[(t + 1)2e] = ? %3D s2-1 s2 +1 (s-1)2 (s – 1)2 -

A:

Q: y show that = 0. . If z: x² + y² II

A:

Q: t-1 y = t.

A: Given that, x=tt-1y=t2t2-1 Then we get,…

Q: find dy/dx

A: Known formula: ddx∫rxqxftdt=fqx q'x-frx r'x.

Q: fx,y (x, y) = Evaluate E[Y]X = 0.8] > given by [(x + y²), 0 < y ≤ 1,0 < x≤1 0, otherwise

A:

Q: Se-2t if 0 3,

A:

Q: (1)F (s)= s +9 2s2 +s -1 %3D

A: Given: L-1s+92s2+s-1

Q: b) y = In(xeVx + 2)

A: The solution are next step..

Q: Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 4. x t +5 and y = 5-t for 1<t = %3D t

A: We are asked to find the domain of the graph.

Q: 3 V9-y s S f(1,y)dxdy. y)dzdy. y-3

A:

Q: : Find y(0.5) for y'=-2x-y, y(0) = -1, with step length (h= 0.1) using Runge-Kutta.

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

Q: B) fometie w= xty+y2-23, x²ry*+2?=6

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

Q: V1-x2 3. Evaluate S S /1-x²-y² dxdydz V1-x2-y2-z2

A: We will solve the following.

Q: min z = -4x1 + 12 th s.t. 3x, + X2 S s.t. -x, + 2x2 s

A:

Q: Assume that a factory can produce a quantity 2x3 + x°y + y4 of goods, when x is skilled workers, and…

A: Here we use the concept of implicit differentiation.

Q: 5 Use implicit derivation to find y. x² +y +z =e"-

A: Given,           x2+y2+z2=exyz

Q: Approximate y(2.1) using the points (2,0.693147) , (2.1,0.741937), (2.2,0.788457), (2.3,0.832909),…

A:

Q: Lion 1-y If x = Show that 1+y dy V1-y

A:

Q: 3(1 + P) = 2ty(y³ – 1) dt %3D

A: Let us consider the differential equation dydt+P(x)y=Q(x)yn It is known as Bernoulli's equation…

Q: dx What is the best substitution to evaluate V2x 2х - х* |

A: Given I=∫dx2x-x2If we consider x=1+sinθ and dx=cosθdθthen,I=∫dx2x-x2=∫cosdθ2(1+sinθ)-(1+sinθ)2

Q: 29. t²y" - 4ty' +6y=0, t>0; y₁(t) = t²

A:

Q: 2 c2x-4 ( dydx 2у - 1) Q2. Evaluate the double integral x + 1

A: In this question we have to find the double integration.

Q: d²y(t) dy(t) + 8 dt + 25y(t) = 10u(t) dt2

A:

Q: L() tu(t-3) e6-3s ( 1 + (s+2} 3 s+2 e2-3« ( + ) o 1 (s+2} S+2 e-3+ ( +) o 1 (s+2} s+2 ( e-6-3s 1 3 +…

A: We will find out the required value.

Q: (c) f(z) = -I Vr E |-1,.

A:

Q: どa (en) (2-x)8 y = X+7 FiNo dy

A:

Q: Find: TxTyrTxyjTzy 下x TメッTxx,Te Tez デツッこ,四己 ーXそ

A:

Q: Does y =e9-x2-2 exist?

A: Given an equation, y=e9-x2-2. To check whether the equation exists or not. The value of e is…

Q: Find fxy(x,y) if f(x,y)= e 4xy². fxy(x,y)=

A:

Q: Find formulas for dy and Ay if y = x² – 7x + 3.

A: To give the formula dy = f'(x) dx and    ∆y = f(x+∆x) -f(x)

Q: y = (2x + 1)v2x+1

A:

Q: 18.t2y′′−4ty′+6y=0,t&gt;0;y1(t)=t2

A: