Consider the curve r(t) = (t²- 4t, -3t+1, -2t² + 5t + 4). This is called a planar curve, which means it lies entirely n a single plane. Find an equation for the plane on which this curve lies.

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Q: What are the Eigenvalues of the system below: X' 1 -(-2²) 1 O 2+i, 2-i O 1,2 O 1+2i, 1-2i O +2i, -2i…

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Q: and z= √3. 10. Let D be the region bounded by the parabolas y = (x - 1)² and y = 5-(x - 2)² and let…

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Q: 1) S-4 5²-85+ 10

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Q: ZFC How does the Axiom of Separation prevent Russell's paradox? Thanks

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Q: A sinusoidal graph has a range of -4<y<8 and a period of 6 and a equation of axis of 0. Draw 2…

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Q: Find the Taylor series generated by fat x = a. f(x) = 7*, a=1 Choose the correct answer below. Ο Α.…

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Q: Which one of the following functions has a graph that is decreasing in its domain? O a. f(x)=√x…

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Q: Compute y' and y". The symbols C₁ and C₂ represent constants. y = C₁ex + C₂xex y'(x) = y"(x) =…

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Q: Exercise 11. Let P be a probability on (R, B(R)). P is called tight if for any e > 0, there is a…

A: is a probability on .There is a compact set such that .

Q: cg. 2. Let a, b, c, f, and g be elements of a commutative ring R with a‡OR. Prove that if a divide…

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Q: Define f(0,0) in a way that extends f to be continuous at the origin. 2x² f(x,y) = In 22 -x²y² + 2y…

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Q: x²y" + xy + 4y = 0

A: When a differential equation has the formThe equation is known as Cauchy Euler equation. First, we…

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Q: Find a fundamental set of Frobenius solutions of the differential 4x² + x(7+2x+4x²) y'-(1-4x-7x²)y=0

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Q: Use Newton's method to approximate the maximum of f(x) = 2 sin x - x² 10 with initial guesses of x =…

A: To Find: Maximum of the function using Newton's method with initial guess x=2.5.

Q: 13. x²y" - xy + 2y = 0; y₁ = x sin(In x) Answer: y₂ = x cos(in x)

A: Differential equation :"As per the policy guidelines, only the first question will be answered.…

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Q: Verify Green's theorem for the indicated Region D with boundary OD and functions P, Q. ㅠ π D = [0, ]…

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Q: Find all the local​ maxima, local​ minima, and saddle points of the function.   f(x,y)=5/(x^2+y^2−1)

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Q: Let f [a, b] → R be a bounded function. Then the followings are equivalent. (a) f [a, b] → R is…

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Q: (a) Let f: R → R be a differentiable function such f(tx) = tf(x) for all t ≤ R, x € Rª and some…

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Q: Assume the world population will continue to grow exponentially with a growth constant k = 0.0132…

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Q: 10) Given y' = -y and y(0) = 1, determine the values of y at x = 0.01, 0.03, 0.04 by Euler's method,

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Q: Let M = [4 4 0 -4 4 0 14] 2 1 Find formulas for the entries of M", where n is a positive integer.

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Q: 3.1. Let 2 2 A = [31] and B = [31] 4 -3 5 Find the following matrices.

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Q: Help with forming the cauchy form equation in Matlab with boundary conditions. d2u /dx2 = w/H *sqrt…

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Q: 2. A triangle is formed by the points P = (1,0, 3), Q=(4,-1, 3), and R = (6, 1, -2). (a) Sketch the…

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,2,1) on the surface…

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