Evaluate 1 1 sin cos d de.

Q: Obtain the estimate of missing terms in the following table: X y 1 7 2 - 3 13 4 21 5 37

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Q: Consider the following tabular values: X 50 100 100 618 y 150 200 250 724 805 906 1032 termine…

A: Solution :-

Q: Assume that the number of hours of daylight in New Orleans in 1994 is given by the function  D(x) =…

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Q: 1. A certain server works four 6-hour shifts a week at a restaurant and has a base salary of…

A: Base salary per hour : $9.75Shift duration : 6 hours Shifts per week : 4

Q: A theater manager graphed weekly profits as a function of the number of patrons and found that the…

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Q: : The following equation has three positive roots and one negative root: x² - 4x³-7x² +34x-24= :0…

A: Let us find the roots of given polynomial using Newton Raphson method.

Q: The temperature in the 9x9m plane shown in the figure 95 °C 2 partial differential of the…

A: As per the question we are given a discretized boundary value problem in terms of temprature…

Q: Solve the linear system: x2+4x3=-4 x1 +3x2+3x3 = -2 3x1 + 7x2 + 5x3 = 6 by row reducing the…

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Q: d) Solve 32x 5 (mod 51).

A: we shall solve only one part, if you want us to solve the other remaining parts please submit the…

Q: Find the integral surface of the equation (p²+q²)x= pz passing through the curve I: x = 0,z² = 4y.

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Q: Q_13 If the relationship between the quantities and y is described by the initial value problem dy…

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Q: 3. Construct the natural cubic spline for the following data. f(x) b. X a. C. 8.3 8.6 X -0.5 -0.25 0…

A: Given data:

Q: y" + 2xy + y = 1 y(0) = 1, y(1) = 2 Which of the following statement(s)is/are TRUE for the given…

A: As per the question, we are presented with a second order non-linear differential equation and a set…

Q: For the first order model 4* + x = u, (t) with initial condition (0) = 2, what is the value of a(t)…

A: Given: The first-order model subjected to the initial condition of ,To find:  after one time…

Q: 7) Determine the polynomial by Newton's forward difference formula from the following table: x y 0…

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Q: 12 B 11 6 Use the Brute-Force Algorithm to find the lowest-cost Hamilton circuit. For the first…

A: The given graph,Using the Brute-Force Algorithm to find the lowest-cost Hamiltonian circuit.

Q: Use induction to prove that 12 + 22 + ... + n2= n(n+1)(2n+1)/6 for all n>0.

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Q: a 14 D 15 10- B Apply the sorted edges algorithm to the graph above. Find the total cost of the…

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Q: Here are the meanings of some of the symbols that appear in the statements below. • means "is a…

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Q: 26) Consider the following values: x y 10 11 12 13 14 15 16 1.02 0.94 0.89 0.79 0.71 0.62 0.55 16…

A: Introduction: Simpson’s rule is one of the numerical methods which is used to evaluate the definite…

Q: minimize (x1-5)² + (x2-3)² subject to 10 - X1-X220 Solve using logarithmic penalty function method.

A: The Logarithmic Penalty Function Method is a technique used in optimization to solve constrained…

Q: sive the following system of linear equations using the Inverse Matrix Method. (-x+3y+7z-9=0…

A: Using elemination method to find inverse of the coefficients matrix.

Q: 23. The point (1, k, 4) lies on the plane [x, y, z] - [1, 2, 0] + s(3, 0, 1] + [2,-1, 1]. Find the…

A: The equation of the plane :Point : "As per the policy guidelines, only the first question will be…

Q: Consider the function f(x,y,z) = x² + 2y² +3z² +2, the point P(3,0,3), and the unit vector u = √2 a.…

A:

Q: Find the explicit general solution of the ODE (x+1)y'-2y=(x+1)4

A: The given ODE is This can be written as ,which is a first order linear differential equation.

Q: Find the LU factorization of the following matrix: 203 1 3 1 01 1

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Q: -2 or (2,5m) or (2,-3) 2 1 T -2 (2.) (0,4) 2 X <= Many Ways to write a point Plot the points whose…

A: To Plot: The given points,To Convert: The given points into rectangular coordinate:

Q: Find the domain of the following function. If possible, give a description of the domain in words…

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Q: Find the length of the curve defined by r(t) = (3+ t, 1 + 4t, 3+2t) for 1 ≤ t ≤ 5.

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Q: Verify that the function is a solution of the differential equation on some interval, for any choice…

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Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y2-30=0. The extrema are (Use…

A: We have to find the extreme values and extrema of the given function f(x, y) with given constraint.

Q: As in the previous question, let ƒ, g: [−1, 1] and define a smooth curve y: [-1, 1] → R² by y(t) =…

A: According to the question, First, let's define the terms. A function is smooth if it has derivatives…

Q: 2. Write a quadratic equation that goes through the point (2, 2) and has the vertex of (-1,-3). L

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Q: Given points (2,1,3),(3,4,5),(0,q,0) of a parallelogram. a) find the value of q for the minimum area…

A: To find the value of q for the minimum area of the parallelogram, we can use the fact that the area…

Q: Ex. 2 By use of the augmented matrix, solve (3x+Sy=9 2x+3y=5

A: Our objective is given below:

Q: The positions = -t³ + 3t² − 3t of a body moving on a coordinate line for 0 ≤t≤ 3 with s in meters…

A: Given that the position of a body moving on a coordinate line for with  in meters and in seconds.To…

Q: two bees leaving an area in a straight path. Bee's 1 path: r1(t) = + t and Bee's 2 path: r2(s) =…

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Q: Each year 3% of people living in Tauranga move to Christchurch, and 4% of people in Christchurch…

A: We have to find population of Christchurch last year using given data.Concept/Formula required:For

Q: Geometric Model Description Normals Intersection

A: Description, Normal, and Intersection of the given geometrical Model.Concept: We know that if two…

Q: 3100 = (ak ak ak ak-1... a2 a1 ao ao)₂ ao?

A: If we represent 3100 in base-7 form, we see       3100 = (ak ak-1  . . . . . . . . a2 a1 a0)7…

Q: The position of end effector is given with respect to refrenc with respect to zero coordinate…

A: As per the question, we are given the position of an end effector with respect to a reference…

Q: The curves 7₁(t) = (-3t, t, 3t³) and r₂(t) = (sin(t), sin(-t), t) intersect at the origin. Find the…

A: The given curves are and .The curves intersect at the origin.To find the angle of intersection.

Q: Let e, f, h € Zt. If [e, f, h](e, f, h) = efh, then prove that (e, h) = 1.

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Q: Determine whether the series converges, and if so finds its sum. 1. Σ=(-3)* 7 2. Σ=1(−1)k−1, 6-1 1…

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Q: . ● Here are the meanings of some of the symbols that appear in the statements below. E means "is a…

A: We simply use the defination of set , subset , proper subset .

Q: 1) Deliberate with your group about how you might approx- imate the function g(x) = e about z = 0.…

A: 1.One way is to find the Taylor series expansion of the function about 0.If one needs the linear…

Q: (1.1) (1.2) where x > 0. +20 + 2xy = 5y³, dyxy-y² x² - y² dx =

A: To Solve:1.1  , where 1.2

Q: Find the number of integer solutions of the equation x1 + x2 + x3 + x4 = 15 such that x1 ≥ 2, x2 ≥…

A: Given thatThe equation such that

Q: Find the fifth term of (a − √b)^9

A: Find the fifth term of (a − √b)^9