4 (0) = 4l6)=3 Soluhon DE: Y= 64,-442

Q: Find r'(t).

A: We have to find r't: rt=4ti+t2tj+lnt2k We know that dxndx=nxn-1d lnxdx=1xd lnfxdx=1fxd fxdxdxdx=12x…

Q: w = 4x + y² +2²³₁ x = ers²₁, y = 1 y = In(r+s).

A:

Q: Find high order DE 6. (D4-5D² - 36)y = 0

A:

Q: Evaluate S, 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A: we need to evaluate the integration over the region using the triple integral. First we will find…

Q: 6 If x=25eco, y=4tan8. Evaluate dy where B= Lrad Ans/-0.2647

A:

Q: 3-Evaluate Fdr where 2X Cisgiven by rit) = t3+U-3t)rék

A:

Q: compute ∫_D 2ydx+3xdy, where D is described by 0≤x≤1, 0≤y≤1

A: Green's Theorem: Let C be a positive oriented, smooth, simple closed curve. Let D be the region…

Q: d (7) Vtan²s+ 21 dt = dx

A: Explanation of the answer is as follows

Q: f (t) = 3e" cosh (In 2r -2t

A: Given,                 f(t)=3e-2tcoshln2t

Q: 4 x2 + 4

A: We have to find out the antiderivative

Q: 1-y² L In (r* + y? +

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: die ktvaate et:rlrs erziv. 2l y=a* + &r-- 5+e" Kl) =

A:

Q: dy Use separation of variables to find the general solution to dr + 4xy? = 0. %3D

A: We have to sine given differential equation using seperation of variables

Q: Evaluate fl. 5y²dV where E is the reqion below x + 3y + 6z = 9 in the first octant.

A:

Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

Q: Use Euler's method to obtain a four-decimal following: approximation for t (4 y=2Xy, yC)=1; yU5) =?…

A:

Q: dy Given a DE of dz 1-r-y using simple substitution, what must be your z? Ity Answer:

A:

Q: i =r+ 1+1 1le n de bifureation? on?

A: This is a problem of Dynatic Model, stability Analysis.

Q: dz where C is ned by x = 0, :

A:

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: 3. From Eq. (1), deduce that U2n-1 2. U2n 2. %D %3D n 2

A: 3

Q: 10. What is 2ri 2 fo, h (z) dz?

A: curve C3 encloses points of singularity z=-2 and z=0 in clockwise and counterclockwise directions.…

Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: 15% at Goldstein's. A pric riced at $119 He a

A: Given, Cox's and Goldstein's department stores give discounts to college students, 10% at Cox,s and…

Q: Find yll of x³+y²=3 by implicit ditferetlal C1o pants

A:

Q: Sm Vx dx

A:

Q: -3y(In x)' +3x* (In x) y' =0

A: First simplyfy the given differential equation.Then taking integral on both sides and solve it.

Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: dy dt = y(у — 4)(у — 8), до 20

A: see my solution

Q: O Fined s where c is :-12-11=4 the ly Porbolic 7-2/4/2121

A:

Q: d?y Find , if y = (60)tª + csc (5t2- e10t) + In (2t² + 3) dt2

A: To Determine: find d2ydt2 Given: we have y=60t4+cosec5t2-e10t+ln2t2+3 Explanation: we have to…

Q: 3)으 rcose de Jsine 1-x2 d ¿= xp 2

A: LEIBNIZ RULE

Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3

A: This question is related to definite integration, we will solve it using given information.

Q: can be obtained as dv dt -9. 81 – 0.0321 × v²

A:

Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: Q.1) Evaluate, (a) 3y In (y) dy 7+1 zp- (ь)

A: Find the integral

Q: 1 What is h(z) dz? 2ri C4

A: In this question, we evaluate the complex integral by using Cauchy integral formmula.

Q: Suppose y=ect where c cannot be equal to 0. If a is a given positive real number, when does y=a?

A:

Q: 7 dy (18a* + 16e5)', find da Given y = %3D

A: It is given that,

Q: 20TH MAHH, Determine The deriva )y=3e* +916 4x t I +

A:

Q: Find the imaginary part of the analyhc funckon,whose real part is : sxy? 3x²-34?

A:

Q: d'y dx2 (3y -1) 24y If y' -y = 2x prove that

A: Solution: The objective is to find the double derivative of the given function

Q: te² i· k) dt V1 – ? 40.

A: Solving by definite integral we have

Q: 16z dV, where E is the upper hemisphere of x? + y² + 2² = 1

A: We have to find the value of the given triple integral ∫∫∫E16z dV where E is the upper hemisphere…

Q: 41 82x-x2 9V x²+y? dydx =

A:

Q: 523 + 222 – 5 y = dy then dz 3x + 2

A: Consider the provided equation, y=5x3+2x2-53x2+2 Find the derivative of the equation with respect to…

Q: 87 V 174x-x2 9Vx2+y2 dydx = %3D

A: