v) Fimd Find y as a function of t if 4y" + 36y' + 83y = 0, y(0) = 4, y' (0) = 8. y = Note: This problem cannot interpret complex numbers. You may need to simplify your answer before submitting it.

Q: Let V = R^n be the real vector space that is spanned by {e1, . . . , en}. For each 1 <= r <= n let V...

A:

Q: Find the supremum and infimum of the set {r € R[10/T – 1 > 0}, if they exist. If they exist, provide...

A:

Q: SOLVE THE GIVEN QUESTION IN TH

A: Given,            ∫yy2∫x2x∫24x+y2+yzdxdydz

Q: Question 15 Solve for the values of A, B, and C in the given partial fraction decomposition: 3x2 +32...

A:

Q: What is the algebraic form of the complex number 13 e 12+5i 5-12i 12-5i 5+12i

A: We will use the basic theory of complex numbers to answer this question.

Q: A pair of dice is rolled. let X be the sum of the number of dots onthe top faces. The table below sh...

A: We have to find probability that the sum is at least 8.

Q: Q.3. C = {x : 8 < x <∞}. Evaluate a) P(C) = Sce¯²dx and b) P(C) = Sce-"dx If the sample space is C =...

A: Given: Let us consider the sample space C=x:0&lt;x&lt;∞ and C⊂C where C=x:8&lt;x&lt;∞ Compute, a) PC...

Q: a a-x a-x-y The value of the integral || | x*dxdydz is 0 0 0

A:

Q: (a) Suppose f: A → B and g: B → C. Show that if f and g are one-to-one, then gof is one-to-one. (b) ...

A:

Q: a a-x a-x-y

A:

Q: 1 to find the

A: Given :

Q: Find positive constants a and n, such that n - 4 > an for all n > n,.

A: To find positive constants a and n0 such that n−4≥an for all n&gt;n0.

Q: 1 0 1 -2 1 -1 If B = -1 2 2 then det (B) =

A:

Q: The special integrating factor of y'dx+(3xy + y² -1dy = 0 is: a. e3y b. Зу С. У d. y-3

A: Solution

Q: sinx dx e PROBLEM 1:|- secx e* dx PROBLEM 2: 2 Inx e dx PROBLEM 3 : -3x²+1 PROBLEM 4: J xe dx хе PRO...

A:

Q: Solve the given differential equation by separation of variables. dy ху + 4у — х— 4 dx ху — 7у + х -...

A:

Q: The curve has an equation of x^2 + y^2 = 25. Find the length of arc from x = 3 to x = 4. * O 3.44 un...

A: For a curve y=f(x)  Arc length = ∫1+y'2 dx   Given curve is x2+y2=25⇒y2 =25-x2⇒y   =25-x2 differenti...

Q: 37. Let V be the set of all positive real numbers. Determine whether V is a vector space with the op...

A:

Q: .2 then the value of x

A:

Q: QUESTION 3 Is H ={1,2,4} a subgroup of U(7)? Give a reason for you answer. LE10 (Moc)

A: Solution

Q: Consider the vectors (2, 1,0, 0), [3, 1,0, 0], [0,0, 0, 1] in R". Find a vector v so that v, linearl...

A:

Q: Write -4 -3i in polar form A) 5 38.87° B) 5 <216.87° 51 323.13° D 51 <143.13°

A: The given problem is to convert the given complex expression in rectangular form to polar form. Give...

Q: Given: Three constraints: i) 10 sxs 50; i) y 2 20; and ii) x + y > 50 Required: a) Draw a graph and ...

A: We will use basic knowledge of linear programming to answer all three parts of this question for you...

Q: O cylinder

A:

Q: Systems of Nonhomogeneous LDE Solve the DE dx = -3x + y + 3t dt dy 2х — 4у + e-t | dt

A:

Q: PROBLEM 1 : J sin'y cos y dy ROBLEM 2 : S cos*x sinx dx os==dy y-1 PROBLEM 3: S sin- ROBLEM 3 : 3 3

A:

Q: CM 2: S cos"x sinx dx

A:

Q: The Bainters are considering a rental home with • $1, 190 monthly rent at move-in with a 1.7% increa...

A:

Q: 17 3 sin x-4 coS X

A: Solution 17. Given integral is  ∫13sinx-4cosxdx. Now, 3sinx-4cosx=6 tanx21+tan2x2-4 1-tan2x21+tan2x2...

Q: What is the quotient when 4 -8i is divided by i3 A) 8+4i -8+4i 8-4i -8-4i

A:

Q: 1- Expand the following periodic function in Fourier series. The function has a period of 7 = 2a -T ...

A:

Q: O which of the following series converges? (2h)! a) E Σ I- e c) E al) E 2+ Sinno n2 + Sinnt e) none ...

A:

Q: - Find the roots of the following complex nos. 3. %3D 3. Z =\ Z-27-0 %3D 3. |

A:

Q: Evaluate the following integrat«

A: Given,               ∫cos4xdx

Q: Determine whether the series converges. 1 k + 20 k=1 The series eTextbo converges diverges

A: The given problem is to determine whether the series is converges or diverges. We have to use series...

Q: Q3: Write the equation in slope-intercept form of the line that is parallel to the graph of each equ...

A: 1. Given equation: y=3x+6 Concept: Now we know that the slope intercept form of the equation is in t...

Q: Problem 3: Consider the functional: I = /1+yr2 dx. y a) Find the Euler-Lagrange equation, which mini...

A:

Q: Spanning Sets In Exercises 9–18, determine whether the set S spans R. If the set does not span R?, t...

A:

Q: Solve the pollowing: り ( 2+J(xtjy) X=? ye! (b) (2+j)(3-j2) = a+jb a:? b:? (C) (メ-j2y) -(y-jx)-2j x=?...

A:

Q: Spanning Sets In Exercises 19-24, determine whether the set S spans R. If the set does not span R°, ...

A:

Q: How many uses TV only How many uses the Internet only How many use TV and Internet but not newspaper...

A:

Q: THIS IS MATH HELP. I SUCK AT MATH. I'll rate asap Give an example of a real life problem that invol...

A:

Q: 1 e* dx PROBLEM 2: J: 2 Inx e"dx PROBLEM 3 : PROBLEM 4 : re-3x²+1_ dx хе 4x PROBLEM 5: J Ine

A:

Q: Drawa direction field for the given differential equation. Based on the direction field, deternine t...

A: We will use basic knowledge of calculus to answer this question.  

Q: Directions: Find the equations given the derivatives. Encircle the letter of your answer. 1. Which o...

A:

Q: (a) 3+j4 (7) - 3ti4 (2)

A:

Q: Q1. Solve the following dy (a). y² + xy³ + (5y² – xy+ y³ sin y) = 0. dx

A:

Q: ralue of m, so tha

A:

Q: country skier skis 1.0H nitude her resultant di

A: Displacement magnitude1: d1 = 1.8 m Displacement magnitude2: d2 = 2.4 m

Q: Consider the vectors [2, 1,0,0], [3, 1,0,0], [0,0,0, 1] in R'. Find a vector v so that v, [2, 1,0, 0...

A: We know four vectors v1 , v2 , v3 and v4 in ℝ4  will be linearly independent iff , av1→ + bv2→ + cv3...