Find: A²+ B² A= 2 8 2 18 10 8 10 15 B - b= 0 <-2 2 0 3 0

Q: 1 077 1 +₁√√√x -dx

A: ∫011x4+xdx To Find: Use comparision test to determine whether or not the integral converges.

Q: Consider the state-feedback control system given by x = Ax+ Bu u=Fx where A = - [47] B-[1], P =…

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Q: Question 3 In each of the following cases, check whether the given subset is (1) an ideal, (2) a…

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Q: 1. Let Find f(x, y, z): = r³y + x²yz x² + y6 + 24 lim (x,y,z)→(0,0,0) f(x, y, z) if the limit exist…

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Q: JJJ₁² z dV, where H is the solid region bounded above by Question 5 Compute the xy-plane and below…

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Q: Let a group G be the internal direct product of two  its subgroups H1 and H1 Then  H1 and H1are the…

A: Let a group G be the internal direct product of two its subgroups H1 and H1 Then  we have to show…

Q: Use the Binomial Theorem to complete the expansion of (r-s)3.

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Q: 5. *Let I = (-∞, 2) U (2, +∞) and consider the following real-valued functions defined on I. x²-4 1…

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Q: solve the following system of equations 2x + y = 1 3x + 1.5y = 1.5 Give a geometric…

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Q: If the graph of y = f(x) has a y-intercept of 3 and an x-intercept of 4, the graph of y=f-¹(x) has…

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Q: Ernie Rolph borrowed $5100 at 6% annual simple interest. If exactly 1 year later he was able to…

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Q: a. Find a particular solution to the nonhomogeneous differential equation y" +9y = cos(3x) +…

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Q: Felipe takes out a loan for his college tuition from a bank that charges simple interest at an…

A: Given: Simple interest rate(annual)=14%=0.14So monthly interest rate=0.1412 Loan amount=$8900Time=8…

Q: Q47. If I = √√√1 + cos x dx, then the domain of I is?

A: First we integrate and then find the domain of I

Q: Let W be the set of all vectors of the form shown on the right, where b and care arbitrary. Find…

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Q: Q2. Find the Fourier transform for the function below. (simplified as much as possible). Sa- |x|;…

A: As asked we shall answer only question 2.

Q: Max Wholesaler borrowed $4,500 on a 11%, 120-day note. After 45 days, Max paid $1,575 on the note.…

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Q: QUESTION 1 Using the identity 1 1 cosAcosB==cos (A+B) + -cos (A - B) 2 2 find the following integral…

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Q: 67. / 1 ex e xp

A: ∫01exx2dx To Find: Use comparision test to determine whether or not the integral converges.

Q: If possible, find each of the following. a. The principal square root of 225 c. -√36 e. 16 a. Select…

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Q: Use the convolution theorem to solve the integro-differential equation to find y(t): fy"(t)y'(t-1)dt…

A: The  given  equation  is  ∫0ty''(τ)y'(t-τ)dτ=y(t).......(1),y(0)=0,y'(0)=y1 Let…

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x - 5 on the domain x² +…

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Q: 3. Show that S is valid inference from the following premises: P→-Q QVR -S-P R

A: To show that S is a valid inference from the given premises, we can use deductive reasoning and…

Q: Write 'True' of 'False' in front of the following statements a. We can always find a Newton…

A: We have to state the following statements is true or false.   a. We can always find a Newton…

Q: The population of Shady Cove is growing at 3% per year. If the population is currently 25,000, what…

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Q: Show that 8 1 - sin x x² 1 -dx converges.

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Q: Vector á = xi +2j + zk Vector b = i +2j-k à b = 3 Vector c = i +4j - k áč = 19 Calculate the values…

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Q: Question#5. Solve by Picard method up to 4th order of IVP dx +y=e* aty (0)=0

A: Introduction: The formula for the Picard's method is: yn=y0+ ∫x0x fx, yn-1 dx Given: dydx + y = ex ,…

Q: There are 80 coins in a piggy bank of which 75% are quarters. What is the least possible amount of…

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Q: Let B = {b₁,b₂} and C= ---[-2]·2-[-]- • - ] ~ -[2] b₂ = = 4 3 Find the change-of-coordinates matrix…

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Q: Suppose the functions F: RR and G: R→R are defined by these formulas: G(x)=2x+3. oms Dio sot co…

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Q: Question #4. Fit a curve of the form y = ab* using least square method to the data given below: x y…

A: x 2 3 4 5 6 y 144 172.8 207.4 248.8 298.5  Let the fitted curve be y=abx____(1) Take logarthim…

Q: Find a basis for the set of vectors in R³ in the plane x - 3y + 6z = 0. [Hint: Think of the equation…

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Q: Solve the following linear programming problem using two-phase simple 2022 0-20221 762- Minimise…

A: The LPP is: Minimise Z=6x1+3x2Subject tox1+x2≥12x1-x2≥13x2≤2x1, x2≥0 We have to solve using the…

Q: Solve M-L30 -41 8 || -3 11 r(0) = -3, y(0) = 11 cos(41) -1 17 sin (4t)

A: I have explained everything with in the solution. Please go through that.

Q: 73. an = (2n + 3n)¹/n, 3≤an ≤ (2.3n)¹/n = 2¹/n.3

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Q: 4. Distance, Velocity, and Acceleration a. A bottle rocket is shot upward from a 10 foot stand with…

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Q: P= The weather in Columbus is either good, indifferent, or bad on any given day. If the weather is…

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Q: You want to purchase a new car in 4 years and expect the car to cost ​$78000. Your bank offers a…

A: For finding the monthly payment when the amount, rate, and time are given, the formula is…

Q: Find the form of yp to use in the method of undetermined coefficients y" -2y+3y=e³x + xex a.…

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Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

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Q: For all sets X, Y and Z, prove the given statements by the indicated method. (a). Method of element…

A: 1. (A∩B)∩C=A∩(B∩C) 2. A∪(B∩C)=(A∪B)∩(A∪C) 3. A∩(B∪C)=(A∩B)∪(A∩C) 4. A-B=A∩BC 5. A∩AC=∅

Q: Question 3 The cylindrical solid enclosed by a² + y² = 4,2 = 0 and 2 = 5 has mass density given by…

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Q: 1. Here are two cool lines: ₁ has parametric equations x = 6 +4t, x+1 l₂ has the symmetric equation…

A: 1) a)The given  equation  of the  lines  are l1 : x=(6+4t),y=(4-3t),z=(-7+t)…

Q: Prove: Ifz₁, Z₂,..., Zn are complex numbers, then Z₁ + Z₂ + +Z₁₁ = Z₁ + Z₂ + ... + Z₁₂ A

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Q: Show that Q(√3, i) is the splitting field for x4 - 2x² - 3 over Q.

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Q: Givens: A new bottle capping machine costs $40000, plus $5000 for installation. The machine is…

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Q: Prove (or disprove) that: 1 a a² la ³ 1 1 1 b C d b² c² d² b³ c3 d³| = (ba) (ca)(da) (c- b) (db) (d…

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Q: 5. (a) Let f(x) and g(x) be smooth functions from R to R, show that if f(x) and g(x) have contact of…

A: 5. (a) Let f(x) and g(x) be smooth functions from R to R, we are to show that if f(x) and g(x) have…

Q: Given an ODE of y''+2y -1=0,  where 0≤x≤1 and the boundary conditions y0=0 , y1=0 with step size…

A: Given an ODE of y''+2y -1=0,  where 0≤x≤1 and the boundary conditions y0=0 , y1=0 with step size…