At how many points do the curves r₁ (t) = ((t+1)², -t2- 2t, t+2) and r₂ (t) = (1 − t², t, t) intersect?

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A: As per company guidelines we can solve one question at a time so i am solving first one. please…

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A: Given that total number of people are 445. To find: 1. Number of people attend only FSU-butler game.…

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Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

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Q: Task 2: Linear Programming Imagine you are trying to maximize the calories you burn in a 60-minute…

A: Please see the attachment

Q: Find a power series representation for the function. f(x) = Ο Σ n = 0 f(x) = X (1 + 6x)² X

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A: The given linear operator is T : ℝ3→ℝ3 such that Tx, y, z=3x+1+ky, 3y, -ky+z To find: (i) value of…

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Q: • f(0) = 1 ● lim f(x) = lim_ƒ(x) = 0 x →∞ x118 • The values of f'(x) and ƒ"(x) are as follows: f'(x)…

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Q: Given the table below, determine the value of x that corresponds to f(x) = 0.75 (a) With a…

A: given x 0 1 4 5 f(x) 0 .5 0.941176 0.961538 To find :   third-order Newton’s…

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Q: If y₁ and y2 are linearly independent solutions of t²y" + 4y' + (2 + t)y = 0 and if W(y₁, y₂)(1) =…

A: Given equation is t2 y''+4y'+(2+t)y=0 and y1, y2 are linearly independent solution of above…

Q: Problem 5. Consider the recurrence T(n)= T(n-1) + (n). Prove that T(n) is (n²).

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

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Q: Consider the nonlinear planar system y'=3x-x² a. Find all of its stationary solutions. b. Find a…

A: Consider the non-planar system of equations: x'=3y-6 Integrating both sides we get: x=3y22-6y…

Q: Question 9 Use the method of reduction of order to find a second solution of the differential…

A: Introduction: When there is higher order ordinary differential equation with variable coefficients…

Q: the following system of linear equations using Gaussian elimination approach (backwa tion). 1 3 3 -1…

A: Since  you have posted a multi subparts question according to guildlines I will solve first(1,2,3)…

Q: F(x)= (beta*x)^y G(x)= (1/x^2) F(g(x))= ? F’(g(x))=?

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Q: 6. Construct a chart giving values of u and v to satisfy the equation 1.2v +0.64u = 0.85 the range…

A: We know that, if  ax+by=c be an equation, where    x,y are variables and a,band c are constants.…

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Q: Slope values for the degradation of ascorbic acid in orange carrot juice concentrates stored at…

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Q: It is given that a+B+y=3₁ a² +² + y² = 5₁ a² + B² + y² = 6. has roots a, B. y. The cubic equation x³…

A: Given that the cubic equation x3+b x2+c x+d=0 has roots α, β, γ   Also, given α+β+γ=3,   α2+β2+γ2=5,…

Q: Problem 4. Determine the height of an n-element heap and prove its correctness.

A: Solution:-

Q: Find the solution of the initial value problem y" + 4y + 5y = 0, (7) = 0, y 7. Y y(t) = 0, y' (7)…

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Q: 3. A) Evaluate the triple integral xdV, where E is the solid region bounded by the cylinder 4 = y =…

A: 3.A.The given integral is      ∫∫∫E x dV , E is the solid bounded by x2+y2=4, z=0, y=3z, x=0 and in…

Q: 5. Use Green's theorem to evaluate where C is shown below (6y - 9x) dy — (xy - x³)dx (-1,4) (-1,-1)…

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Q: Complete the explanation of how to map one triangle onto the other. 4 in. 8 in. 7 in. 4 in. 8 in. 7…

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Q: or f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. (Give…

A: Given f(x, y)=5x3-14xy+y3   To Find: All values of x and y such that fx(x, y)=0 and fy(x, y)=0…

Q: 2. (a,b) and Consider : R₂[1] → R² defined by ƒ(ar² + br + c) = (a,b) 9: R² → R³[2] defined by 9(a,…

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Q: Find the radius of convergence, R, of the series. R= Σ n = 3 I= X²+2 4n! Find the interval, I, of…

A: We use ratio test.

Q: Solve the initial value problem y" - 5y' - 36y = 0, y(0) = a, y'(0) = -32. Find a so that the…

A: To solve the initial value problem :- y" - 5y' - 36y=0 , y(0)=α , y'(0)=-32 .

Q: Given the function below, is fx (x,y) (the derivalue of f with respect to x) continuous at origin?…

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Q: (b) solve the system of differential equations dx dt dy dt + (x + 2y) + 2(x - y) = 1 = = t

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Q: ell ау dy - 6 dy + ay dx 1. 3x 6e³x + 7e-²- log 2

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Q: (a) State the Fundamental Theorem of Calculus Part I

A: As per our guidelines only first question is solved. For remaining questions kindly repost the…

Q: r(t) = (t,3t,t²)

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Q: Determine the form of a particular solution yp of Ур y" + 4y = x cosx. Do not solve the equation.

A: Here given the differential equation as y''+4y=xcosx or D2+4y=xcosx where D=ddx

Q: solve: ch= 긍 I/2 들 (1) in 20 애플 dt

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Q: Solve: ch= 긍 I/2 들 (1) 나르ㅠ To d

A: Given integration is cx=1T0∫-T2T2(1)e-jx2πT0dt

Q: 3. Consider the optimization problem z* = min f(x) = x₁ + x² + x² x1 + x₂ 21 Formulate the Lagrange…

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