= cot-" (2), a > 0 sin at Prove that L() = cot™

Q: 2. Solve the following ODE by the method of undetermined coefficients y" + 4y' + 4y 10 cos(4t) +…

A:

Q: Find the volume of the solid within the cylinder r2 + y? = 4 that is bounded below by the xy-plane…

A:

Q: Assume that the profit generated by a product is given by P(x)= 4/x, where x is the number of units…

A: Given that  Assume that the profit generated by a product is given by p(x) =4sqrt(x)  To find How…

Q: f(t) = sin* 3t

A:

Q: (a) (AN B)':

A: This is a problem of set theory.

Q: QUESTION 2 Let V be the set of all ordered pairs of real numbers with addition and scalar…

A:

Q: A Moving to another question will save this response. Quèstion 3 Evaluate : dz where C is the cirlce…

A:

Q: Find the Laplace Transform of et + 5 A s-4 5 B S-4 S s+4 D s+4

A: Linear transformation is used to solve the differential equation. For example the first order…

Q: 3. Let å1, åz, åz be three nonzero vectors in R2 and let b1, b2, bz be three real numbers. Consider…

A:

Q: Given the following matrices, perform the indicated matrix operation. 1 8 [5 1 -2 -9 7 1 2 -2 -4 5…

A:

Q: 2. Given matrix M below, sin? A sin A cos A cos² A M = |sin? B sin B cos B cos² B Lsin² C sin C cos…

A:

Q: Find the volume below the surface z = x2 + y2 and above the xy-plane for −1 ≤ x ≤ 1,−1 ≤ y ≤ 1. (b)…

A:

Q: Find the centroid of the solid of revolution obtained by rotating the region bounded by y=x^3, y=8,…

A: We have to find the centroid of solid.

Q: f(t) = t5et 120 А. (s-4)6 24 C. (s-5)6 120 В. (s-4)5 24 D. (s-5)5

A:

Q: If A is a square matrix such that A =1, then A'is equal

A: Given, A is a square matrix such that A2=I.

Q: 6. Simplify. Write as a mixed radical in lowest form. V300 – 5/27 + 2/12 - [5,5] a) b)

A:

Q: f(t) = t sinh 5t 5s 5s С. (s2+25)2 А. (s2-25)2 10s 10s В. (s2-25)2 D.- (s2+25)2

A:

Q: urvilinear integral: Find de x dx + yay is the perimeter of the where (0.0), (4,0) ,(0,1), (4, d)…

A:

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

A:

Q: PAPER 1 5. FACTORS OF POLYNOMIALS page 5 J2006 1 The cubic polynomial f(x) is such that the…

A:

Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 [5 1 2 -2 -4 -6 1 -2 -3…

A: Solution

Q: 6° Szx dx t yay where L cs parabol y=-x(x-) arc

A:

Q: 8. Let f: R-→R be a field homomorphism. Show that f is identity.

A: Introduction: Like integral domain, a field also have homomorphism. A map f:F→K is referred to as…

Q: In Exercises 1-7, (X,M) is a measurable space. 1. Let f : X R and Y = f-1(R). Then f is measurable…

A: Given: Let's consider X,M is a measurable space.  Here f:X→ℝ¯ and Y=f-1ℝ

Q: f (t) = sin? 4t + cos? 4t 4+s А. s2 +16 С. s2 +32 В. s(s2 +16) D. s2+16

A:

Q: Given the following matrices, perform the indicated matrix operation. 8 1 [5 1 -2 -3 -4 0 -9 3 1 7 2…

A: We can solve this question using given information , first we multiply 4 into matrix B next we…

Q: Problem 5. Find all primes p such that 1+p: 2P is a perfect square.

A: We have to find all prime p such that 1 + p×2p is a perfect square.

Q: Consider the following initial value problem: y" + 4y = f(t); y(0) = 0, 3(0) = 2; { S 2, 0 c and 0…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Exercises 6.1 In Exercises 1-8, show that the given set of functions is orthogonal with respect to…

A:

Q: "MAXIMA AND MINIMA" A man launches his boat from point on a bank of a straight river, 3 km wide, and…

A: Given: Let us consider the given, Row speed=6 kmhr Run speed=8 kmhr

Q: urvilinear inteorale. late Find yay (0,0) , (4,0) r where is the pen 4e.x the 1quan (1, a) ato here…

A:

Q: Particular solution of y' = x+xy²/4y, y(1) = 0

A:

Q: To accommodate more depositors, new investment products were made available to the small businesses…

A:

Q: Let ø : Z25 → Ss be a homomorphism such that ø(1) = (12468). (a) Find o(22). (b) Determine kero. (c)…

A:

Q: Show that any compact set in R is closed and bounded.

A:

Q: A bag contains three red marbles, two green ones, one lavender one, two yellows, and three orange…

A: It is given that there are three red marbles, two green marbles, one lavender marbles, two yellow…

Q: 8. If W = and V =, compute W x V.

A: To compute w*V from the given vectors.

Q: 6. Find the Inverse Transform of F(s) S-8 3 A f(1) =6+e¬8 – 4e B f(1) =6-e"+ 4e* © s(1) = - 6+ e +…

A:

Q: A standard dorm bedroom at most collegue 10ft wide by 15ft long. A LEGO 2by4(2*4) brick is 0.90cm…

A: The formula to calculate the volume of a cuboid is V=lbh, where l, band h are the length, breadth…

Q: Consider the nonhomogeneous linear system of differential equations: | 16e3t x'(t) = [| 1]×) + [-…

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

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,…

A:

Q: Follow the solution procedure as seen in the image. Incorrect answers or not following the solutions…

A:

Q: Use Simpson's rule to evaluate the integral S (x2 + 4x) dx by dividing the interval into N = 4 equal…

A: The interval of integration is 2,4. The length of the interval is 4-2, i.e. 2. The value of N=4.…

Q: Solve the dy *+g+ 3 differential %3D equation.

A: The given problem is to solve the given differential equation. Given differential equation dy/dx…

Q: -x², 5х - 4, 4x* - 3х, 1<x<2 X <0 0 <x<1 If f(x) = then f(x) is discontinuous at x = Зх + 4, x 2 2…

A: f(x) is discontinuous at x if left hand limit not equal to right hand limit

Q: 1. Prove that an algebraically closed field is infinite.

A: A field F is said to be algebraically closed if each non-constant polynomial in F[x] has a root in…

Q: f(t) = e4t cos 3t 3 s-4 A. s2-8s+25 С. s2-8s+25 3 s-4 В. s2-8s-7 D. s2-8s-7

A:

Q: (a) Consider y" – 3y' – 2y = te-t sin(3t) – 4e-t +5t2 – 2. Write down the most efficient “guess" for…

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Consider the following two matrices: -2 -1 1 0) C = 7 -1 D = 3 3 -2 1 Which of the following four…

A: