(1) Z/12Z

Q: Q1:- Solve the following Des 4) y" – 4y' + 3y = 4x+3e" 2x

A:

Q: Find the Curl of the vector field. F(x,y, z) = 7e" sin(yi+ 8e* cos(y j+ 14z k a. &e" cos(y) +7e" cos...

A: solution of the given problem is below...

Q: Evaluate the integral f (t* In ti+ 3t° sin (t*) j + ) dt. (x+1) -2

A:

Q: Find the Fourier transform of the function f(t) = e-2. 2. ii. Using Fourier transforms prop erties f...

A: The Fourier transform of the function is represented as , it is defined as , where . Since the dime...

Q: 35 Find the extrem poinbs of Pcxy)=xy Subject to X+y=20.

A:

Q: Only c from this part

A: To find - Express the following as the sum of a power series and find the interval of convergence. ...

Q: 9.

A:

Q: Q/ Find the points have minimum distance from the origin to the surface хуz?-1

A: We have to find the points that have minimum distance from origin to the surface of xyz2=1

Q: Q2. Reduce the state equation: * = 7*+C, y = [1 1]x. to a controllable one. Show the resulting contr...

A: This question is about application of differential equation 

Q: Let w z. In(zy z"), then which of the following is ZZL O a. 0 Ob.

A: Given a function w in three variables x, y and z as  and we have to find the partial derivative of ...

Q: 6) = Find the point at which the line intersects the given plane. x =3 - t, y = 2 + t, z = 5t; x - y...

A: Equation of a Line in Parametric Form: where are functions of and is the parameter The equation of ...

Q: Let z z'y- zy?, z = e ",y = e", then which of the following is ? 3012 O a. 2e- 2e 24 O b.0 Oc-2e-2e ...

A:

Q: Part a Please provide thorough explanation showing steps with units if needed Will give a like Pleas...

A:

Q: Consider the following differential equation in the photoSolve the differential equation to determin...

A:

Q: (a) Find the derivative of fix. y. 2) = x-xy-z at P1, 1,0) in the direction of v = 2i- 3j + 6k. (b) ...

A: The directional derivative of a function f(x,y,z) at the point (x,y,z) in the direction of vector v ...

Q: Which of the following integral is the integral f SR elz+)/(z-v)dA where R is the trapezoidal region...

A:

Q: 3 Let x = -4. Then, a. ||x||2 = -4 O b. ||æ||2 = V26 Oc. |l리2-0 O d. ||2||2 = 3 e. ||r||2 = 4 O f. |...

A:

Q: Example .cn Assunme di solves () on D ニ On and solves Auて on D Mrこgu D. on cto

A: Given that, u1 And u2 If   

Q: 2.

A:

Q: Calculate the volume of the solid with a triangular base in the xy plane of vertices O(0.0), A(1.1) ...

A:

Q: 1

A: The domain of a function are all values of x for which the function is defined. Intercepts are the p...

Q: Which of the following expressions are false? 1. lim(1,1)>(0,0) 714? %3D 3z'y II. lim(z,9)→(0,0) 7+y...

A:

Q: uring a flu epidemic 1 percent of the 100 pupils at a school had the illness at a time t = 0. It was...

A: This question is about application of derivative 

Q: please do the generalised part

A:

Q: Simplify the expression cot^2 xcos^2x/cot^2 x-cos^2x

A: Given,

Q: Find domain, range and level surface of following function and write name of the function which is d...

A:

Q: Let u=(-1.0.5) and v=(0.2.3). Then by Cauchy-Schwarz Inequality: Ju. v| = v338 O None of these O the...

A: Given u=(-1,0,5) and v=(0,2,3) We need to apply Cauchy Schwarz inequality.

Q: Find domain, range and level surface of following function and write name of the function which is d...

A:

Q: Each year an organization raise money to offer Berkeley college student.they have raised $ 14,300. T...

A: Remark: we know that y% of x is equals to xy/100     

Q: Please only solve: 47 & 50 Thank you!

A: Concept Used: Degree Leading coefficient End Behavior Even Positive Even Negative Odd Pos...

Q: (2) The ring ({0,2,4, ...,22}, +24, •24 ) has the following not prime ideal .. (a) ((6), +24, -24 ) ...

A: Given:

Q: Expand the function f(x) = x2 with T = 2π period to the fourier series in the range (0 , 2π) and sho...

A: Given function is  and is periodic so that  The coefficients of the Fourier series representation of...

Q: Let D be the solid region enclosed by the sphere x? +y² + (z + 3)² = 9. Our aim is to use triple int...

A: Volume is the value of space inside a 3-dimensioal object. Volume of and solid can be found using tr...

Q: Find the interval of convergence of (x – 2)" Σ n10 + 2 n=0 (Use symbolic notation and fractions wher...

A:

Q: Evaluate ∫∫S√1+x2+y2dS∫∫S1+x2+y2dS, where SS is the helicoid with vector equation r(u,v)=<ucosv,u...

A:

Q: 12.

A:

Q: Use Laplace transform to find the solution of the differential equation with the initial value.

A:

Q: 2 Use Green's Theorem to evaluate Jx*ydx-xy dy, where C is the circle 2+ y? – 2601 with counterclock...

A: Let be the vector field and C be the boundary of the region D. The Green's theorem states that .  

Q: Linear Algebra Topic

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts f...

Q: help me to solve this

A: Given:

Q: 1. Describe the solutions of the given system into parametric vector form.x1+x2+ 2x3= 9,2x1+ 4x2−3x3...

A: Here a+b+2c=92a+4b-3c=13a+3b+6c=27Now converting given equations into matrix form[11224-3336][abc]=[...

Q: x² +2x-8 f(x) = x² - 2x : 1. For the function а) Determine the intercepts. State the domain. b) Stat...

A: "Since you have posted a question with multisubparts, we will solve first 3 parts for you. To get re...

Q: Find the solution of the following differential equations: a) x" + w?x = 8 (t-), x(0) = 0, x'(0) = 1...

A: The given differential equations: Where, Here, the limit does not above 1. Therefore, f(t)=1

Q: Use the method of characteristics to solve the first order equation Ug – 2uy = 3 with u(x, x) = sin(...

A: Method of Characteristics and General Solutions: The general solution of the quasi-linear equation  ...

Q: What is the solution of this peoblem?

A:

Q: can you answer?

A: In the given question we have to calculate the integral                                   where R is...

Q: Find the general solution of xy' + y = y2lnx Bernoulli's differential equation.

A:

Q: DO NOT ANSWER IN DECIMAL FORM ANSWER SIMILIAR IN the manner I attempted to do

A:  

Q: Please only answer Q70 Thank you!

A: Concept Used: In a graph we know,  

Q: This proof requires 3 steps. 1. E v F 2. ~ E 3. ~ H / ( F v G ) & ~ H

A: Given:  E v F