1. Use Green's Theorem to find the counterclockwise circulation and outward flux for the given filed F and curve C. F = (xy)i + (y?)j where C: is bounded by the curves y = x2 and y = x in the first quadrant. а.

Q: x2 f(x) = 1+ x3

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: Given Maximize f(x, y, z) = xyz Constraints:  x + y + z = 32,  x - y + z = 16

Q: 2 f(x) — х* — х+sin(x) — 1 Solve this question by the Fixed-point method on the topic of solution of…

A: The fixed point iteration method uses the formula: xn+1=ϕ(xn) to perform the iterations and to…

Q: . Write an inline function that returns the value of the function f(t, x) = sin(Vx t) cos²(7x) and…

A: As per the question we have to construct an inline function that returns the value of the function :…

Q: Let p = 0.451789 and q = 0.4517601 A- Use four-digit arithmetic rounding to approximate p-q ? B-…

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Q: Prove that if A and B are any nonzero vectors and C: lBlA + lAlB, then the angle between A and C has…

A: Let us determine the angles between the vectors using scalar product of two vectors in the next…

Q: for which all the Ei en below are real is 4 1

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Q: The following circle graph shows the distribution of 1,500 students and their majors at a local…

A: We have to select the all sections of the graph contain more than 250 students.

Q: Find all value(s) of 1.if any, so that the vectors (4-1,1).(-1,22). (-1,-1, a) OA A= 2 O B. 1 = 1 O…

A: The solution for linearly dependent vectors

Q: 11–19 LAPLACE TRANSFORMS Find the transform, indicating the method used and showing the details. 11.…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Problem 1. Consider a dataset with three columns of binary attributes A1, A2 and a binary label…

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Q: Consider the following region Rand the vector field F. a. Compute the two-dimensional curl of the…

A: To find- Consider the following region R and the vector field F. Compute the two-dimensional curl…

Q: Find a power series solution of the differential equation below. Determine the radius or convergence…

A: Given the function y'+2xy=0                                         (1) Let assume,…

Q: Use the simple interest formula to determine the missing value. Round dollar amounts to the nearest…

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Q: 2. Compute each indicated cofactor of the matrix: 9. -2 4 A = 6. 3. -5 -1 7 8. The (3, 1)-cofactor.…

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Q: Give an example of a sequence of continuous functions: fn : [0, 1] →R that converges pointwise to 0…

A: Let us consider the function fn(x)=xn on [0,1]. Let u assume that the function fn(x)=xn is pointwise…

Q: ek. che line of best fit is y=-0.4x+ 6.92. ent Time spent -x exercising, y s) (in hours) 10- 6.58 8.…

A: In this question, The equation of the line of best fit is given for predicting the time spent…

Q: Find T3 centered at x = a. 1. f(x) =e2x,a = 0

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Q: ation of all the relative and absolute extrema of the function. (Order your answers from smallest to…

A: Introduction: The input values of a function f(x) where f(x) has minimum or maximum values are…

Q: f(x) = x + e¬X Solve this question by the Bisection method on the topic of solution of Algebraic and…

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Q: a) Detemine whether this set of vectors is orthogonal? Q. No. 3 -2 8. 4 1 b) Detemine if the…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Exercise 7 Find the partial differential equation arising from each of the following surfaces: (a) z…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: (x + y + z) dV, where E is ? – y?.

A: Introduction: The triple integration can be evaluated by using cylindrical coordinates to reduce the…

Q: subintervals of equal length (n = 2). = subintervals of equal length (n = 5).

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: The function P(t) = t² (2t + 3)5, can ONLY be differentiated by using the product rule. Select one:…

A: The product rule of the differentiation can be stated as f·g'=fg'+gf'.

Q: Find the length of the curve. r(t) = cos(6t) i + sin(6t)j + 6 In(cos(t)) k, 0 <t< T/4

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Q: The regular selling price of an item is $87. For a special year-end sale the price is at a markdown…

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Q: 10. Evaluaté the following integrals (b) J3 -6a+13 1 (a) S x²+1 -0 x4+1 ;d.x

A: We can solve this using partial decomposition and using integral

Q: , Find the antiderivati 4x3/2 –1

A: Introduction: We know that the antiderivative of some functions is as follows:…

Q: -2 For the matrix B = (0 1 3), if |B| = 0, what is the value of y? %3D Y A. - 3 В. — 4 C. 4 D. 3 933

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Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r- 2- cos(0)

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Q: Let U be the set of integers from 1 to 15. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}…

A: Solution: Given that Set A = {2,4,6,8,10,12,14} multiple of 2 and B = {3,6,9,12,15} multiple of 3

Q: dx In x

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Q: The regular selling price of an item is $217. For a special year-end sale the price is at a markdown…

A: Solution :  The regular selling price of an item is $ 217 discount rate  = 20%

Q: Find a particular solution to -18.5e-21 y" +4y +4y = t2 + 1 Yp =…

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Q: Solve the initial value problem: y" + 2x(y')² = 0; y(1) = 5; y'(1) = %3D 1/3

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Q: Al is at the point (0,6) and Bob is at the point (8,0). They are both running towards the origin. Al…

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Q: 5. Classify the given quadratic form. Make a change of variable x = Py, that transforms the given…

A: Given the quadratic from  Qx=x12+4x1x2-2x22 To make the quadratic form comparable to xTAx, we must…

Q: Describe in words the region of R3 represented by the equation. x² + y2 + z² = 36 The equation x2 +…

A: Given equation is x2+y2+z2=36. We have o describe in words the region of R3 represented by the…

Q: x' + 4x + 3y = 0 y' + 3x + 4y = 2e* x(0) = y(0) = 0.

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Q: Find the gradient of the function at the given point. Function Point F(x, y, z) = Vx2 + y² + z2 (4,…

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Q: Let a > 0 be real. Use residues to evaluate the princi- pal value of the integral R 1+ cos ax lim…

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Q: 7 c. Color all the multiples of $ (tip: use divisibility rules): ule multires OI5? 4 1s YO coled-in…

A: Observe the numbers in the given pyramid.

Q: The table and scatter plot show the time spent watching TV, x, and the time spent doing homework, y,…

A: Given that, the linear model for the given data is y=-0.3x+20.51.

Q: If the matrix A is positive symmetric definite, is BTAB also positive symmetric definite?

A: Let us define the function as, A¯=BTAB Then, A¯T=BTABT=BATBT=BABT   [A is symmetric]

Q: f(x) = x ´ – x + sin(x) – 1 Solve this question by the Bisection method on the topic of solution of…

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Q: Find the derivative, r'(t), of the vector function. r(t) = t* i + cos(t³) j + sin?(t) k

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Q: All 34 of the students in a mathematics class attended class on Monday. On Tuesday only 23 students…

A: Percentage of students

Q: 3. Determine a quadratic approximation a, + a,x + a,x2 to the cubic function (D(x) = 1.1x3 – 9x2 +…

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Q: if tB (-2t + 1 h(t) = It² + 1

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