Lonny opened a new box of granola bars. Lonny and three of his friends equally shared the granola bars shown in the picture. HEA What fraction of the granola bars did each of them get? J 3100 8 200 18 +00

Q: Р T F F T q F T F T p->q TOR F TORF TORF TOR F

A: Truth tables.

Q: Find the surface area of the portion of 4x + 3y + 5z = 8 that lies inside the cylinder x² + y² = 49.

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Q: Question 1. For each of the following sets of conditions, either give an example of a unit speed…

A: Given Data: Let us consider the given simple convex curve with total signed curvature 2π and total…

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Q: B. Determine the center (C) and radius (r) of each circle. Express your answer as a fraction and in…

A: The given equation of circles are: 1. x-42+y-32=492. x2+y+62=75 To Do:We have to find the center and…

Q: (5) Let T = {at:ne N} U {0} and define f: T→R by f(t) = at³ - t. Find f(t).

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Q: 2 [Feller] We consider throws of a die, and say the system is in state s; if the largest number yet…

A: a) The transition matrix for this system depends on the number of sides on the die. Assuming a…

Q: N 11 sin n (iii) Zn (iv) Zn น (ii) ²n =(()". -)U= 2 2+(-1)". 2 n (0²0) = (777) ² i" n+l -+1₂ 3 1³ +…

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Q: Evaluate the given integral along the indicated contour. 1 6 $ ( 12 +² 1²³ - 2 + ₁ + 2) 0² (z+1)³…

A: Given a integration along a contour |z+i|=1 ∮C1z+i3-6z+i+2dz

Q: Use four terms of Newton's binomial expansion to approximate 11.

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Q: differential equations  dx/dt = x2 - 2x - y2 + 1,  dy/dt = xy - 3x.  What is the complete list…

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Q: Create a table of values for the function and use the result to estimate the limit. Use a graphing…

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Q: Using row reduction, show that the system of equations x+y+z=1 4x + 2y + z = 1 10x + 4y + z = 1 does…

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Q: 4. Set p(x) = x³ + ax²+bx+c. a) Show that the graph of p has exactly one point of inflection. What…

A: The given function is px=x3+ax2+bx+c.     The point of inflection of a function fx is the point x=c…

Q: Question 1 The equation z² O True O False Question 2 Assuming f is differentiable at the the point,…

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Q: 3. Let y be the path in R³ parametrized as x(t) = (cos 2t, sint, sin 2t) for t = [0, 2π]. Let A be…

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Q: Use complex analysis to solve the Hint: Using the fact ing integral 2πT de 0 2 + cos 0 eio + e-io 2…

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Q: A (В) The matrix [12 15 3 0 24 6 can also be written as [12 15 3] + [-6 0 24] 3x [25] 0 8 [54] 0…

A: Here we have to find the equivalent matrix.

Q: Let W be a vector space with inner product (,) and the norm ||x|| = √(x,x). Prove that, for u, w EW,…

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Q: 10.J Compute the matrix of partial derivatives of • fex,y) = (et, sinxy) b. j f (x, y, z) = (x -…

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Q: what is the area of this parelogram?

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Q: At age 25​, someone sets up an IRA​ (individual retirement​ account) with an APR of 4​%. At the end…

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Q: 6. Which of the following is the parent function for y = a. f(x) = x b. f(x)= |x| c. f(x) = x² d.…

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Q: where O O O y(t) = (f-cost)-(1)[(1 − 6) - cos(t = 6)] + 6 sint +4 cost - sint) ([(-6)-sin(t-6)] + 6…

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Q: Matrix A is a 3 x 4 matrix. Matrix B is a 3 x 3 matrix. Which of the following matrix expressions is…

A: Given that the matrix A is a 3×4, and matrix B is 3×3.

Q: 17. T(X1, X2, X3, X4) = (0, X₁ + X2, X₂ + X3, X3 + X4) 7(x₁ X2

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Q: []B = Find the coordinate vector of = 2 4 with respect to the basis B = [1] 0 {CC)6]} 2 for R³.

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Q: Question Solve the following maximization problem graphically. Enter only the maximum value of P(x,…

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Q: 1. Let F : L² (R¹) → L²(R¹) be the Fourier transform. That is: 1 Jane (2π) ¹/2 Rn Prove that the…

A: Problem is solved using concept of Fourier Transform.

Q: Let y'= Ay be a system of differential equations where A = The matrix has spectrum X(A) = {3} and c…

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Q: Given the matrix: 1 10 A = ^-(2) 3 17 Evaluate the following expression: (4² +4A +91) =

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Q: Given the following bases for R2, find P, the change of coordinates matrix from B to C. C+B 54 B=…

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Q: Alming the Com on Device You reach the communication device and are alerted by your computer that…

A: Given the equation of the force field surrounding the communication device is given by…

Q: Shiva is trying to beat the samosa-eating record. The current record is 53.5 samosas in 12 minutes.…

A: Equation of best fit: The equation of a line of best fit is given by,                     y=mx+b…

Q: 8. a. The point (2,6) is on the graph of y = f(x). What are the coordinates of the image of this…

A: Advance maths

Q: 1. Consider a boat in the ocean, which is carrying contraband. Near to this boat is a lighthouse on…

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Q: Find the intersection points between the functions Y₁ = sinx and y₂ = cos x ex within the interval…

A: Solution is given below:

Q: 7. The solid graph has been compressed horizontally by the factor following is the equation for the…

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Q: Suppose that a population grows according to a logistic model with carrying capacity 5700 and k =…

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Q: -3t πT L (0/2) = ₁ a √5 +4+3 a √t

A: Solution:

Q: 4. Construct the natural cubic spline for the following data. a. x f(x) b. C. 0 0.5 1.00000 2.71828…

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Q: Solve the following linear programming problem. Maximize: z=7x+3y subject to: 3x-y≤15 2x+y ≥ 12 x 25…

A: First, draw the constraints and shade the common region. Since the shaded region is bounded, the…

Q: Differential equations. Autonomous systems and stability Prove that for: x´ = a11x + a12y y´ = a21x…

A: we have used Liénard's theorem.

Q: Find the absolute maximum and minimum values of f(x, y) = 4xy^2 − x^2y^2 − xy^3 on the closed…

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Q: The set is a basis for R2. Find the coordinates of the vector [x] B = = -16 11 B -6 = -{[1].[:]}…

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Q: 2. Approximate the following integrals using the Trapezoidal rule. 0.25 (cos.x)² dx b. a. -0.25 al 3…

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Q: 5. a. b. C. What are the domain and range of the relation that contains the points {(-16, -10),…

A: Given , {(-16,-10),(-14,-8),(-11,-3),(-7,4),(-1,-8)}

Q: For an upper triangular system, the system has a unique solution if

A: The system Ax=b  has unique solution if determinant of A is nonzero .

Q: Let X = [0,1], be the Lebesgue measure on [0,1] and L(X) be the set of Lebesgue sets measurable on…

A: Given: f(x) be the function defined on [0,1] as: f(x)=1,if x is rational0,if x is irrational

Q: Problem #9: Which of the following sets are closed under scalar multiplication? (i) The set of all…

A: Given , (i).  The set of all  vectors  in  ℝ2 of the form (a,b) where  a+3b=3 . (ii).  The set of…