x sin wx O Show that dx = x² + 6x + 10 (3 sin 3w + cos 3w) w> 0

Q: Consider the homogeneous ordinary differential dy equation x dy 3x dx + Зу — 0, х>0 X > 0 - dx? with...

A:

Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x %3D

A: We find the general solution of  y"-y'-6y=e-x-7cos(x).....(1)

Q: suppose that u= xe+y Sin z and that X,y, Z can be measured with maximum passible errors.of 180 respe...

A:

Q: 3. Consider the surface integral || (Vx F) -n dS, where F = (0, 0, ryz) and S is that portion of the...

A:

Q: Exercise 10. Show that if AC B, then ACB.

A:

Q: Given f(x, y) = x²y – 2xy + x² – 2x + y² – y. (a) Find the critical points of f. (b) Use the Second ...

A:

Q: Show directly that the given functions are linearly dependent on the real line. That is, find a nont...

A:

Q: 2. Consider the eigenvalue problem, y" + ày = 0, for 0 < x < 1/2; y' (0) = 0, y(n/2) = 0. Find all e...

A: Given differential equation is y'' + λy = 0 with y'(0) = 0, y(π/2) = 0

Q: |(1) Solve the following D. E's :- a) Y=l+a0lY, b) y'= xy/2, c) xy'= y+Y, d) Y= (x²+ y²)/xY, e) y'+ ...

A:

Q: In the following problems, the letters A to Z correspond to the numbers 1 to 26, as show below, and ...

A: a). To encode the message BELIEVE YOU CAN, first divide the letters into the group of two. BE  LI  E...

Q: Rotate a circle of radius r around the x axis and use the method of disks to prove the formula for t...

A:

Q: which of the statements are tautology/contradiction?

A: (a) Given,               p∨∼(p ∧ q)   

Q: Solve the initial value problem y" + 5y – 36y = 0, y(0) = a, y'(0) = -54. Find a so that the solutio...

A:

Q: Advanced Math 4. Let f: S^2 → S^2 be a reflection of the sphere which leaves the plane H = {(x, y, z...

A: Given Plane : H =x,y,z100x +239x+11z=0 To find: All great circles which are invariant under f.  

Q: 5 Let F(x, y, z) = (x + 3y° , y+ 10xz, z – xy). Calculate the - integral F. dS, where S is the surfa...

A: We will divide whole surface into two part  S1 the hemisphere and S2 will be the bottom of the hemis...

Q: How many 7 digit numbers can be formed using the numbers 0-9 if the first and 5th digit can only be ...

A:

Q: We saw that airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat ...

A:

Q: ey Maximine 2.

A: This is the problem of multi variable calculus.

Q: 1" n=1 V 2n +n– 1

A:

Q: In this problem you will work with a new definition. Given a sequence {an}o: we define its buddy seq...

A:

Q: For each of the following functions defined on the interval (0, T): (a) Find the Fourier sine series...

A: The functions given on the interval 0, π are as follows: fx=2x-πfx=   10&lt;x&lt;π2-1π2&lt;x&lt;πfx=...

Q: See equation below. Find the value of a + b. (Answer must be an integer) 1 sint(a — аcost) 1 L-s2+ 1...

A:

Q: 28. What is a matrix?

A: Row: When we make an arrangement of the numbers, letters or symbols from left to right, then this ar...

Q: Question 10 Evaluate the definite integral of the following vector-valued function: 1/2 di*< 2

A:

Q: 4. (2 v2 + i)- i (1 +v 2 i) 5. (1 - i)

A:

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: The volume of the solid generated by the enclosure of regions fx and gx from y=a to y=b is given as ...

Q: Let /(x) = x (x + 2)" and calculate f(x) dx by using integration by substitution. What was your subs...

A:

Q: 8 5 In the following, let A denote the coetficient matrix in (1). a) Compute the 1-norm of the matri...

A: M

Q: The demand function. P= 4o-4Q-2Q². Calculate +the for quentíly Qo=2 units. consumer Surplus.

A: This is a problem of financial mathematics.

Q: • A composite figure is a figure that can be into that are basic plane figure |, trapezoids, rectang...

A: (a) A composite figure is a figure that can be divided into regions that are basic plane figures. 

Q: Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard ...

A:

Q: 6. Given the data (1, 2), (3, 7), and (5,50): (a) Fit a straight line of the form to these values by...

A: Solution :-

Q: 5s-1 JA function has a Laplace transform of F(s) : If this function is %3D s²-1 multiplied by e', wh...

A:

Q: Solve y" (t) – 2y' (t) + 5y (t) = H (t); y (0) = 0 ; y' (0) = 1; where H (t) =t – 2 if 0 2 %3D |

A:

Q: The Ising model is characterized by a number N of particles with spin S = 1/2 lo- calized on a given...

A:

Q: Show that 97248 -1

A:

Q: Sarah and four of her friends have made 10 cupcakes. They only have 5⁄8 of a cup of frosting to spli...

A:

Q: i have 18 books what are two ways i can stack them in epaul groups

A: Permutations and combinations

Q: 2-16 4. lim X-4 x+4 Vx-4 5. lim I-4 X-4

A: a). Consider the limit limx→-4x2-16x+4. Observe that the function is undefined at x=-4 since will be...

Q: Question 9 Let u(x, y) be the solution of the partial differential equation (x+1)yu̟ -u, = 0, x>0,y>...

A: It is given that the partial differential equation is x+1yux-uy=0. We have to find the solution ux, ...

Q: Write the prime factorization of 18. Use exponents when appropriate and order the factors from least...

A:

Q: Solve (D5 + 3D4 + 4D³ + 12D²) y = 32 cos (2x) + 3e3z 16 sin (2x) -

A:

Q: V5 and an+1 = 5an. Find lim an. Let {an}1 be a convergent sequence defined by a1 =

A:

Q: ing is to ht of the

A: Given: γ=0.6906lb/in3 r=0.35 in,d=0.12 in,t=0.002 in

Q: Use the substitution t = -x to solv

A: Given,          4x2y''+y=0,  y(-1)=6, y'(-1)=2

Q: Suppose E=1 an and E=1 bn are series converges absolutely. Prove or give counterexamples for the fol...

A:

Q: Determine the values of the variables to satisfy the equation. 4a-b+c+d = 14 , 2a-2b+3c-7d=-21 , a-5...

A: We determine the values of the variables a,b,c and d to satisfy the equations 4a-b+c+d = 14 , 2a-2b+...

Q: Consider the homogeneous ordinary differential dy equation x dy 3x dæ + Зу — 0, х>0 X > 0 - dx? with...

A:

Q: (1) Find the approximate dominated eigenvalue and corresponding eigenvector by us- ing Power method ...

A:

Q: 3) Approximate the value of following integrals by using composite Trapezoidal rule, composite Simps...

A: