Parametrize a circular spiral centered at the z-axis, starting at (0,2,0) and ending at (0,2,12) after four turns counterclockwise for 0 <= t <= 1 and find its length.

Q: If a, b, and c are digits, write 0.abc as a fraction.

A: Introduction: An element of an entire could be a fraction. the quantity is represented…

Q: Find the particular solution of the differential equation dy dx satisfying the initial condition…

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Q: = { [" -d] | a,bER} a X = Prove that and X* are isomorphic

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Q: Let x(t) = x' (t) x"(t) 21(t) x₂ (t) If x(0) = 29 x₁(t) 45 x1(t) be a solution to the system of…

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Q: Oo(t) -{ = [1, if t = ² = Q and GCD(p, q) = 1, 0, if t & Q, where GCD(p, q) is the greatest common…

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Q: Min Z= -2x, + X₂ s.t. x₁ - 2x₂ ≤ 4 X₁-3x₂ ≤ 6 -2x₁ + x₂ ≤ 3 X₁, X₂ ≥ 0 Z* -∞ (-2,1) X₂ 8 7 6 5 3…

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Q: On February 3, 2021 Biyu buys a $28,000 T-blll maturing on July 13, 2021. The simple interest rate…

A: On February 3, 2021 Biyu buys a $28,000 T-blll maturing on July 13,2021. The simple interest rate is…

Q: This problem involves 8-digit binary strings such as 10011011 or 00001010 (i.e., 8-digit numbers…

A: You have to count using multiplication and addition rules.

Q: A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position…

A: Given: In this question, the given details are A mass of 100 g stretches a spring 5 cm. Here, there…

Q: 27. g(x) = 2x² - x - 15 x - 3 1 kx - if x # 3 if x = 3

A: Explanation of the answer is as follows

Q: { Y₁' = Y₁+Y₂ 1 1 Y₂ 2 = 3y Зу, + У, 2

A: The system of linear differential equations is given as:…

Q: Linear Programming: Graphical Method Formulate the LP problem, which includes the objective function…

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Q: A tank initially contains [F] m³ of a bleach solution with [G] grams dissolved chlorine. Fresh water…

A: Given: In this problem, the given details and values are A tank initially contains [F]=100 m3 of a…

Q: Sketch 9x^2+25y^2=5625 and the line segments connecting (20,0) and (-20,0) to (15,12) a) Solve for…

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Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. (a) (b) x,…

A: Given: The below figure, The diagram shows the traffic (in vehicles per hour). To find: (a) The…

Q: What are the dirichelt conditions & explain the gibbs phenomena?

A: To Do: Write the Dirichlet conditions. Explain the Gibbs phenomenon.

Q: Draw the triangle ABC, where A = (0, 0), B = (2, 0), and C = (0, 1).   The image of ABC is A' =…

A: To Draw: A triangle ABC whose coordinates are  A = (0, 0), B = (2, 0), and C = (0, 1)and also find…

Q: Draw the level curves of the following surfaces; at least three levels. A) Z - x - y² = 0 B) zx²2y²…

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Q: -2.1+(-4.9). On the test, when Maureen simplified the expression she got -2.8. What mistake did…

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Q: The unique solution to the initial value problem is y(t) = 2e-5t - 8t – 5. Determine the constant yo…

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Q: II. Given vectors: A = -2az + 3ay - 6 ax B = -6ay + 2az + 5az C = 4az + 2ax - 8ay Solve the…

A: Please find the answer in next step

Q: d^2x/dt^2 + 8dx/dt + 25x = 10u(t)

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Q: 9:09 AM Mon Sep 26 If space Zero we True The False V vector set Subspace True False know and of 0 of…

A: First : false  If W contain only zero vector that is W={0} then it will true  For example V=space of…

Q: Suppose that you are taking a course where the total class grade is the weighted average of your…

A: The homework is worth 15% of the course grade The worksheets are worth 20% of the course grade The…

Q: A particle has acceleration a(t) = eº.¹ti + 12tk. If its initial velocity is i – 3j and its initial…

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Q: 10. Allen is mixing red and yellow paints to make two different shades of orange. To make 1 cup of…

A: To solve this problems , first we have to determine the ratio that exist between the red and yellow…

Q: 5. (a) Find a parameterization of the intersection of the cylinder 4x² +9y² = 36 and the plane z =…

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Q: At t=0, a 600 liter tank initially contains 50 grams of salt dissolved in 300 liters of water. Then,…

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Q: Determine if v is in the set spanned by the columns of B. B = 2-3 2 4-3 7 0 18 6-3 21 6 V= -3 3 18 9…

A: Given : B=2-324-3760186-321   , v=-33189 To Choose : Correct option

Q: Let a and b be rational numbers. Show that Q(√ a, √ b) =Q(√ a + √ b).

A: Let a and b are rational numbers. We need to show that, ℚa , b = ℚa + b. For that we need to show…

Q: Suppose that the domain of the propositional function P(x) consists of the integers 1, 2, 3, 4, and…

A: Let us suppose the propositional function be Px. It is given that the domain of the function Px…

Q: dx/dt + 7x = 5cos2t   please solve this using classical method and explain.thank yo

A: 1 Given differential equation is dxdt+7x=5cos2t. We have to find the general solution of the given…

Q: The 2x + True False The 2 x² True False set : зу: set 2 = 0 of all Vectors is a Subspace vectors all…

A: If S is subspace of R2 then S should closed under vector addition and scalar multiplication Using…

Q: 27. Use the definition of limit and the Archimedean Property to prove lim 1 n-xn-7 = 0.

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Q: Suppose that the domain of the propositional function P(x) consists of the integers 0, 1, 2, 3, and…

A: P(x) consists on integers 0,1,2,3 and 4. (d) ∀x¬P(x) The statement says that there exists at least…

Q: Rather than the linear relationship, you might choose to model the upward force on the parachutist…

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Q: Domain: Range: Function:

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Q: Consider the differential equation: dy/dx = y(3 −y) 1) Use the slope field plotter to plot different…

A: Given That : The differential equation is dydx=y3-y. To Find :  a) Using the slope field plotter to…

Q: Consider the system, d = (r − 1)x³ +rxe-x² which statement is true? dx dt 9 the system exhibits a…

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Q: 1. You rent a wedding venue for a cost of $3200. The cost includes a catered lunch for 50 guests.…

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Q: Prove: The product of any two rational numbers is rational. Prove: For all integers a, b, and c, if…

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Q: x = { ["]a,b€R} X (8) Find:

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Q: i A cylindrical vessel without lid is 4 cm in radius and 10 cm in height. If the vessel is be coated…

A: The volume of the cylindrical can of radius r and height h is given by V=πr2h. By using…

Q: ε is a field on S. B be a non-empty subset of S. Define ε│B = {X ∩ B : X ∈ ε} Is ε│B a field on B?

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Q: 1. Find the value of a and 3 so that the given differential equation is exact: (2y³ + axy¹ - 5x) dx…

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Q: After taking a nutrition class, a big macaroni and cheese fan decides to improve the levels of…

A: Given: After taking a nutrition class, a big macaroni and cheese fan decides to improve the levels…

Q: Find the complete solution: (cos2y - 3x²y²)dx + (cos2y − 2xsin2y — 2x³y)dy = 0

A: Given data:  cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydy=0 We have to find the complete solution.

Q: Optimization Dino is to have a rectangular swimming pool at his villa. He wants its width to be at…

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Q: Consider the function F(x, y, z)=(√√1 - x² - y², ln(e² - z2²)). (a) This function is a mapping from…

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Q: Problem 13.20. Diagonalize the following quadratic form. Is it positive-definite ? 6x + 5x + 7x² -…

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