-1 The point A has coordinates (4, 1), AB = 9 5 BC= . Find the coordinates of B and -4 the column vector representing CA.

Q: Write the quadratic function in standard form. h(x) = x² - 4x + 4 h(x) =

A: Please find attachment for the details solution

Q: If a function is defined as f(x)=Ax2+Bx+Cf(x)=Ax2+Bx+C, then the graph of the function is a parabola…

A: Given function is f(x)=Ax2+Bx+C          (1) Since f(x) is equation of parabola. We can write (1) as…

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: The given integral is: ∫-122ex+cosx dx Approximate the integral with trapezoidal rule, midpoint…

Q: x¹ + x² + 1 I(x² + 1)² -dx.

A: The given integral is: ∫x4+x2+1xx2+12dx Evaluate the given integral.

Q: Let pn (2) be the Taylor polynomial of degree n of f(x) = cos x about Problem 2. a=0. How large…

A: The given function is: fx=cos x The remainder for the Taylor series about x=a is determined as…

Q: 1. A system is composed of a rod and a disk, as shown at t = 0 below: 6 -6 4 6 -2 -4 -6 The axes…

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Q: 2 Using the relation 2 (1 cosx) x, V x € (0, - · 4)

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Q: 1) At what simple interest rate per annum will P35,500 accumulate to P61,000.00 in 6 years and 9…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find

A: We solve by Gram-Schamidt process.

Q: 15 Down: The ODE in r we must solve when solving the vibrating circular membrane is due to ________

A: To slove the puzzle

Q: 2. Given the following sets, where U is the universal set, and A, B and C are three sets in the…

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Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: Hand written piz In each of Problem, find a fundamental matrix for the system with the given…

A: Solution

Q: Find the magnitude of the vectors represented 5 3 1 by (a) (b) |³| (c) 12 4 3 LO 5 1

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Q: downtown parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that.…

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Q: Solve the initial value problem: y' = xy + y² y( − 1) =

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: a Show how Pip can complete the circuit by adding less than 120 cm of track. b Show how Pip can…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Let be the double integral given by -22 0 (4-(y-2) dxdy, do the following a) draw the region of…

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Q: o q Lor -00 10 The function determining the shapes above is f(x) = a√z. The area shown on the first…

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Q: 19 Across: The equation ut  = uxx is commonly called the __________ equation.

A: We will use basic definitions of pde

Q: Graph the equation below using a calculator and point-by-point plotting. Indicate the increasing and…

A: We know graph of y=lnx as follows

Q: y = -x^2 + 4x, y = x^2 - 6x + 5, x=0, x= 1 O 2.012 sq. units O 2.022 sq. units O 2.032 sq. units…

A: We have to find the area of the bounded region.

Q: Find the orthogonal projection of -10 14 11 V = 15 onto the subspace V of R4 spanned by -1 2 1 X1 =…

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Q: Let y = [3] and u = [2] to the line through u and the origin. Compute the distance from y

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Q: 14: Given three vectors u = [1 0 0], v= [1 0 -3]" and w= [1 -3 -5]". Which of the following matrix…

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Q: Solve the system 7 -1 [7] 6 2 dx dt with the initial value -6 -A [[:] x(0) = -15 x(t): || X

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Q: Suppose X has the discrete topology. Then the infinite product X with the product topology is also…

A: It is given that X has the discrete topology. Check whether the infinite product Xw with product…

Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

A: Given: u0x0,y0=exp-x02+y02w02 To find: Solution

Q: Situation 3. A stone is shot on a level ground at an angle of 56° with the horizontal with an…

A: Stone is shot at an angle 560 from the ground with an initial velocity 112 m/s

Q: Find the solution of the Euler equation on (0, ∞) with initial conditions x²y'' + xy' + y = 0, y(1)…

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Q: 21. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

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Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At 1:0,…

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Q: Q: Find A least-sayvares solutions of Ax=b 1 -2 3 - 1 2 O d 3 ", 5 : دا 1 -4

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Q: Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y…

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Q: Solve e^(3z-7)=1

A: Given,  e3z-7=1 ⇒lne3z-7=ln1   [Taking logarithm both sides] ⇒3z-7=0   [since lnea=a   and   ln1=0]…

Q: Find the Inverse Fourier transform of re-l

A: This is the problem of Harmonic Analysis.

Q: The function f is defined as follows. X if x #0 f(x) = 2 if x = 0 (a) Find the domain of the…

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Q: In each of Problem, find a fundamental matrix for the system with the given coefficient matrix. (1 5…

A: Consider the given coefficient matrix, A=150010481 here we need to find a fundamental matrix for the…

Q: 1 ++²)

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Q: Let u = (1, 2, 3, 4), v = (0, 2, t, 3), and w = (1, 1, 0, 1). Find t so that u + v and w are…

A: Since you have posted multipart question and we can answer three subparts. So answered the first…

Q: 19 1. The expression -1 n is equal to n=1 9 O 45 O 50 O 362880

A: I have given the answer in the next step. Hope you understand that

Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: 11. Given y'+y=5 sin(2t)   (a) To draw: Direction field for the given differential equation   (b)…

Q: For the graph below, find an Euler circuit in the graph or explain why the graph does not have an…

A: To find- For the graph below, find an Euler circuit in the graph or explain why the graph does not…

Q: 2. Solve the following cryptarithms. In each problem, letters represent a single digit only. a)…

A: Given the cryptarirhms puzzle a) HE2=SHE B) WRONG   +WRONG     RIGHT We have to find digit the value…

Q: 2. Use the elimination method to solve the system y₁ = 2y₁ + y2 + et, y2 = y₁ + 2y2 - t.

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Q: -21 Given that Y, (t) = e a FUNDAMENTAL SET of solutions. and Y₂ (t) = e-³t are solutions of the…

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Q: A self-employed internet security specialist deposits $3,000 at the end of every month into a…

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Q: The intensity of light I (measured in luxes (lx)) at depth y (in m) below the surface of a lake can…

A: You post more than three subparts questions, as per our guideline we can solve only first three…

Q: Three coin are tossed and the number of head appears a- Find the sample space b- Find P(1), P (2), P…

A: here we can use basic formula of probablity

Q: 9. Find inverse Laplace: | es S

A: