Consider the function f(t)= 0

Q: H. w: find find the region bounded by x=y-y² Y = 1, revolved about Ⓒx-axi

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Use the parameter variation method to solve this problem. Write the solution in y=f(x) form.…

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Q: A function y = f(x) is given by the following table of values. Make a harmonic analysis of the…

A: The value of x and the corresponding value of f(x) over the period T are given  Here consider q=2πxT…

Q: (a) Give the centre c and the radius r of S = B(0,5) B(3, 4). (b) Which of the following are neither…

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Q: The given analytic function f(z) = u + iv defines two families of level curves u(x, y) = c₁ and v(x,…

A: We know that a complex function is written as fz=ux, y+ιvx, y. Two families of curves are said to be…

Q: Suppose V₁ is a vector of all entries 1 in R" space, which we call "1-vector". What is ||v₁||2 (12…

A: Given: v1 is vector of all entries 1 in ℝn space. To find: v12 for n=16

Q: The first five rectangular numbers are shown: 2 a. Make a sketch to represent the eleventh…

A: Introduction: When a certain number is arranged in a rectangular manner, the number is referred to…

Q: A five -month term deposit of $10,000 at Scotiabank earned $175 in interest. What annual rate of…

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Q: You are free to use or not use Mathematica to do the following problem. (a) Let o(x, y, z) = xy + z.…

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Q: Which proper integral would you use to help determine the convergence/ divergence 8 of the series…

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Q: Solve it

A: Let us consider the PDE P(x,y,u)ux+Q(x,y,u)uy=R(x,y,u) Then the auxiliary equation is obtained as…

Q: How many years if the compounded total conversion periods is 99 when compounded monthly?

A: Solution: Given, Total conversion periods = 99

Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that aª Then F'(a): = = = 8, f(a) = 2, ƒ'(a) =…

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Q: Approximate 3 sin xdx using six equal subintervals. √³ 0 An approximation for the integral using six…

A: ∫0π3sinxdx

Q: 5. (a) (b) (d) Suppose T: R5 → R³ with T 21 12 Iz CA 15 Express ker(T) as the span of a finite list…

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Q: Jack is an aspiring freshman at Ulern University. He realizes that ”all work and no play make Jack a…

A: Solution :-

Q: Find the determinant of matrix A. A = 540 2075 4512 T -1 3 0

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Q: Pedro d. Magulabtang wants to have an amount of ₱750,000 at the end of 5 years and 9 months for now.…

A: Future value of ordinary annuity FV=R1+in-1i where R is regular deposit i is periodic interest rate…

Q: 3. Consider the Initial value problem ry' = y + r ln(r); y(1) = 2 (a) Estimate y(1.5) using Euler's…

A: To solve given differential equation using Euler's method and RK-4 (classical) method. y'=yx+ln(x),…

Q: 17.5(1 + t²) = 4ty(y³ − 1)

A: The given equation is: 51+t2dydt=4tyy3-1 Solve the given differential equation.

Q: Let A be an mxn matrix. Prove that W = {x ER" | Ax = 0} is a subspace of R", where W is the solution…

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Q: Q.1B) Prove that: I = ₂ Cos(x) dxdy sin (1) 2 where R the region bounded by x + y = 1, x = 0, y = 0

A: Given that  I=∫∫RCosx-yx+ydxdy Where R the region bounded by x+y=1, x=0, y=0

Q: B. Evaluate sin z z²+j2z dz, C the boundary of the square with vertices ±1, tj clockwise.

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Q: Q1 Solve the following system using Gauss Jordan Elimination x + 3y + 4z + w = 5 3x + 8y + 12z+4w =…

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Q: Let C be the curve y = 12 11 10 9 8 7 6 5 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Determine the Cartesian Equation of a plane that has a normal vector (6,-5,12) and passes through…

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Q: Question 4 While A is moving at 10 m/s around the curve with radius 100 m and accelerate by 5 m/s²,…

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Q: This is impossible to read there is no script and no way of knowing what this says. Can somoene…

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Q: Examine the increasing and decreasing of each of the following sequences, whether they are bounded…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Consider the following matrix A= 3 1 -1 1 -1 4 1 1 5 a) Show that the matrix A is positive…

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Q: Determine the form of a particular solution for the differential equation. Do not solve. y" - 24y'…

A: Here given the differential equation as y''-24y'+144y=t2e12t+2e12t or it can be written as…

Q: Put the following program in standard form: z = 80x₁ + 60x₂ 0.20x₁ + 0.32x2 ≤ 0.25 x₁ + x₂ = 1 with:…

A: here i used simple graphical method to solve this question.

Q: What are quadratic équations, what would be the simplest way to understand them and what can I…

A: The quadratic equation is always of the form ax2+bx+c=0 or ax+b2+c=0 where a, b,c are real constant…

Q: Consider the equation below Ň Using the following method, determine the smallest positive value of x…

A: The fixed point iteration method uses the formula: xn+1=ϕ(xn) and the initial approximation of the…

Q: B) Find the Fourier transform x(t) for the following figure -T T

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Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

A: given LPP Maximize Z=x1+x2 subject to  x1+5x2≤52x1+x2≤4 where x1≥0, x2≥0

Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

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Q: $. 12-1 (2²+-)(2-2) 1-4z+6z² 1 -dz .d

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0.

A: The given problem is to find the maximum value of the given function V=xyz subject to the given…

Q: Solve the equation. dx dt = 2x1² An implicit solution in the form F(t, x) = C is =C, where C is an…

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Q: Find the volume of the following gure. If needed, round to the nearest hundredth. * **** 297,024 ft…

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Q: Z a. Q = f(l, k) = (1+1¬ak¬B)' z, a & ß are positive constants ƏQ aQ Compute the mathematical…

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Q: 10 Find the coefficient of x in the expansion of · (3x-1) "⁰.

A: Explanation of the answer is as follows

Q: 11. (a) Show that is a solution of the system satisfying the initial condition X = sin t - t cos st)…

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Q: Question 1 (a) The following information was reported form the survey collected on customers'…

A: ANSWER (A): This is a non numerical data with categories as A, B, C, D. So, it is a categorical…

Q: 5 a) Let the sequence {an}=1 is defined by a₁ = 4 and an+1 =; for n E N 6-an i. Prove that {an}=1 is…

A: (a) The given sequence is an+1=56-an ∀ n∈ℕ and a1=4. To find: the answer of the given options.…

Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. c= = y 6…

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Q: It is the proportion of the variation in the dependent variable that is predictable from the…

A: We have to find the correct choice.

Q: 1-a) Use Runge Kutta fourth order method to integrate y' = 4e0.8 -0.5y from t=0 to 3.0 S with step…

A: given function y'=4e0.8t-0.5y from t=0 to 3.0 with step size of h=1. the initial condition at y0=2…

Q: 8. Explain which rules of inference are used for each step. "Somebody in this class enjoys whale…

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