A. Solve the following Systems of Non-Linear Equation 1. Use any of the Analytical Solution Methods 2x + 3y = 12 a. {x² + + 4y² - 6x-16y= 75

Q: A company plans to manufacture rectangular boxes with no top that have volume 12 cubic feet. The…

A: Given problem:- A company plans to manufacture rectangular boxes with no top that have volume 12…

Q: Find the indefinite integral. Solution in handwritten a. S sin x -dx cos²x

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Q: A triangle has sides represented by the vectors (2, 1) and (3, 4). Determine the length of the third…

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Q: Find the area of the surface x²-6y-2z=0 that lies above the triangle bounded by the lines x = 4, y =…

A: Surface Area :        Surface Area = ∫∫R 1+zx2+zy2 dA

Q: f(x, y) = 'r cos(y) + y(e² − 1), x‡0 xy 0 x = 0.

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Q: Solve the following: 1. Create a table, a verbal description, and a piecewise function to represent…

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Q: Suppose that sec(t) = 3/2 and that tis in quadrant IV. Find the exact value of tan(t). -3/2 -$5 O -…

A: 1 +tan2(t) = sec2(t) In Quadrant 4th , secant and cosine are positive. Note : As per our Guidelines…

Q: Let F = Vf and f = 2zy + 8xy + 6xz. Calculate F. dr for the path r₁ = (t,t,t), 0 ≤ t ≤ 1. (Give your…

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Q: Find the period of y=-3cos(3.7x). Round your answer to 1 decimal place.

A: " Since you have asked multiple question we will solve first one for you. Please specify question…

Q: where t € [0, 1]. x = cost, y = sint-t,

A: Here we will find the equation of tangent and length of curve P,

Q: Is the function a power function. If it is, write it in the form f(x) = kxP, and state the values of…

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Q: i-2yj + (z+3)k and suppose the outward flux of F through Side A is 1 and through Side B is -3. Can…

A: answer is in next step

Q: A triangle has a base that is decreasing at a rate of 11 cm/s with the height being held constant.…

A: Solved below

Q: Consider the space curve r(t) = (cost cos 2t, cost sin 2t, sin t). (a) Find r(t).

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Q: Find the Taylor series for f centered at 9 if f(n) (9) = (-1)^n! 2^(n + 1) n = 0 What is the radius…

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Q: Two poles are connected by a wire that is also connected to the ground between the poles. The first…

A: Given:

Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: Find the value of z in the solution of the following system: - 1x – - 4y - 4z = 99 4x + 2y + 2z = 88…

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Q: Determine whether the series converges or diverges. 4n³ n²-4 n=2

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Q: For a person at rest, the velocity v (in liters per second) of air flow into and out of the lungs…

A: Explained below

Q: Determine the indefinite integral 4 √√x + 3 6x 1/0² - 1717 dx 4 X

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Q: 7) Find the unit tangent vector T(t) for the curve given by r(t) = 2 sintỉ+ 2 costj + tantk when t =…

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Q: Solve the system using Cramer's Rule. - x + 2y = - 5 4x + 5y = 32 Find the determinant D…

A: D=-1245D=-1(5)-2(4)=-5-8D=-13Dx=-52-325Dx=-5(5)-2(-32)Dx=-25+64Dx=39Dy=-1-54-32Dy=(-1)(-32)-(-5)(4)D…

Q: Find the Taylor series generated by fat x = a. f(x) = exa=3 Ο Α.Σ Ο Β. Β. €3(x-3) n! €3(x-3) (n+1)!…

A: Find Taylor series.

Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 ≤ t ≤ 1. √((x-x) (y -…

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Q: bus For the function f(x) given below, evaluate lim f(x) and lim f(x). 818 8118 f(x) = √3x²-1 7x+3…

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Q: analyze and trace the given curve y = 2x3 + 3x2 - 12x + 7

A: Given:

Q: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem

Q: Find the first 6 nonzero terms of the general series solution of the differential equation…

A: We have to find the general solution of the given differential equation.

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

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

Q: For a, b E R, calculate (ax + b)dx (x²+1)²(x²+4)*

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Q: 3. Find an equation for the parabola with directrix at r = 3 and focus (-1,-1). Find the two latus…

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Q: Use the method Laplace transform to solve the following. (a) 2r' + 7r=3e-t, x(0) = 4. (b) 2r' +…

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Q: 7. y=2 cos(x) - 1 끌 3m

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Q: Question Consider the function f(x) below. Over what open interval(s) is the function increasing and…

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Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: Find the indefinite integral. Solution in handwritten. 1. f =dx /1+x4

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Q: Consider the function f that is continuous on the interval [-5, 5] and for which ſo f(x)dx = 4.…

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Q: Find an approximation of the area of the region t under the graph of f by computing the Riemann sum…

A: We have to find the area.

Q: Question 15 [xy2. +xzu+yv2-3 = 0 The system of equations :. 6x³yz + 2xv-u2v2-7=0 can be solved for u…

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Q: 109. f(x)=x* tan x³ -x In (1+x2), then the value of (b) 1 dª f(x) dx 4 at x = 0, is: (d) 15

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Q: Using Variable Separable, solve x² (y + 1) dx + y² ( x − 1) dy = 0

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Q: Consider the equation cos(3t) = 0.8. Find the smallest positive solution in radians and round your…

A: We can find the answer the as below.

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1 = lim t+x6t²+7'2t (?, ?)

A: Explanation of the answer is as follows

Q: Begin with the Maclaurin (Taylor) series: cos r = 1 - 2! 4! 6! (a) Evaluate cos 0. (b) List the…

A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…

Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

Q: Question 1: Find the Laplace transform of the given functions by using the table of Laplace…

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Q: Solve f(x) Sin e* (12 intervals) Using Trapezoidal Rule(Numerical Methods) ['re f(x) dx

A: Solve the following

Q: Show the repeating decimal .2727272727 repeating.... as an infinite geometric series. Give sum of…

A: This question can be solved using the concept of infinite geometric series.