in one polar plane, plot the following points a.) (4, "/3) b.) (-3,- SE) d.) (2₁-77) 4 e.) (-1.5, 311 2

Q: explain using a graph of (x) = X³-6x, for 0≤x≤3 With Six sub intervals, what the Riemann sum…

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Q: in how many ways can we arrange the integers 1, 2, 3, 4, 5 in a line so that there are no occurence…

A: We use the principal of inclusion and exclusion.  For i∈1,2,3,4, let Ai ⊂Si be the set of all…

Q: 6 Use substitution to find the Taylor series at x = 0 of the function 1-9x 6 What is the general…

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Q: Consider the two by two system of linear equations x +3y +2y d) What is the coefficient matrix A? e)…

A: Here we will solve the given system of equations,

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A: Given differential equation, d²y/dx²-2dy/dx=8sin2x Corresponding homogeneous equation, (D²-2D)y=0…

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Q: Evaluate the triple integral ryd xydV where E is the solid tetrahedon with vertices (0,0,0), (10, 0,…

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Q: (CLO-3) Find the area of the largest rectangle that can be inscribed in the region enclosed by the…

A: Given:-y=x2-5y=-x2+5let x=t  and -t are paramatric points on the curveboth the curves are…

Q: 51 1. A parabola with directrix y = == 32 and one endpoint of the latus rectum at nat (-²,-2)

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Q: Consider the matrices shown below: A Find the value of K such that det (BT) 64 - 1 с 3K and AT is…

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Q: Solve the DE by Integrating Factors Found by Inspection 3 1. x dy - y dx = x¹ y dy + x³y² dx X

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Q: Find the critical points of f(x) = -2x4 + 2x² - 6 and apply the Second Derivative Test (if possible)…

A: Given problem:- Find the critical points of f(x) = -2x² + 2x² - 6 and apply the Second Derivative…

Q: Evaluate the triple integral where E is the solid: 0≤z≤ 10, 0≤ y ≤z, 0≤x≤y. Izydv

A: Solution:

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

A: The quadratic and cubic approximation at (0,0) formulas are:…

Q: 3. LLa (x + 2y) dy dx

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Q: For numbers 1-2, consider a plane bounded by the curves y=9-x² and y=x+3. 1. What is the desired…

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Q: Which of the following conics has an eccentricity greater than 1? * 9x² + 16y² 36x +96y +36 = 0…

A: The eccentricities of conic sections are as follows. For circle e=0 For parabola e=1 For ellipse…

Q: The proper way to evaluate f (3 + h) for the function f(x) = −4x² + 3x − 1 is Of(3+h)=(−4(3)² + 3(3)…

A: We can answer the question as below.

Q: Find the general equation of the conic with the given properties. 51 59 1. A parabola with directrix…

A: Given: A parabola with directrix y=-5132 and one endpoint of the latus rectum at -18, -5932

Q: Qol find the derivative of: - f(z) = (2+22²1/2²) ¹/3 14 3) f(²)= (1+2²) ³/2 -3 7 f(z) = (iz-1)³

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Q: Consider the following double integral - f By reversing the order of integration of I, we obtain:…

A: We have to reverse the order of given integral

Q: 2xydx +(1+x²) dy

A: 2xydx+x2+1dy=0

Q: S x²-x+1 x² + 2x + 2 2 -dx

A: We need to evaluate integral.

Q: 2. Evaluate: 0 √|2 − x + x dx

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Q: Consider the matrices shown below: Find the value of K such that 4 B-B2C-13 = 5 1 10 18 18 B-¹C – 15…

A: Given B=4-102 and C=142315We know that if A=abcd then A-1=1ad-bcd-b-caB-1=18+12104=192104

Q: Forces of 19lbs and 40lbs act on a body producing a resulting force of 50lbs. What is the angle…

A: The given two forces are 19lbs and 40 lbs. The resulting force is 50 lbs. Because the resultant is…

Q: Q3/Find the value of x If the approximation of the integral ſ f(x) dx by trapezoidal method is given…

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Q: Consider the two by two system of linear equations a) Use the method of substitution to solve this…

A: Given :x+3y=75x+2y=-4

Q: et R be the region below bounded by the parabola y and y = 0. (0,4) (1,3) R (-2,0) (-1,0) x and the…

A: definite integral

Q: y" + y = 3x sin x

A:

Q: S tan-1 е' 1+4t² 2t dt

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Q: cos³ t

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Q: J 2+2 cot (2²+42 - 3) -dz

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Q: X₁ = (-1, -2) & (3, 1) Y₁ = ; X2 = m m Final answer: Trend: || Y2 =

A: Slope of a line is = y2-y1x2-x1If the slope is positive then the trend is that as x increases y…

Q: y" — 5y' = x − 2, when x = 0, y = 0, y' = 2

A: To find the particular solution for the given DE.y''-5y'=x-2, when x=0, y=0, y'=2

Q: The table contains price-supply data and price-demand data for corn. Find a linear regression model…

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Q: 4 Consider the force field Ğ(x, y, z) = = = -ze²y-x, 2ze²y-x, e²y-x 2² + 2x + 2 a. Determine whether…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 4x +…

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Q: е 0.99

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Q: We start from the expression for the contact force 4 a³ 1/21 F=E (₁ 7² - (07*³²¹) ³²) '8γπa3 E* 3 R…

A: We have to find the differentiation of the above equation.

Q: 3. y²(x + 2y) = 8

A: The Solution is dydx=-y2(x+3y)

Q: 4. Use the Fundamental Theorem to evaluate (x³ - 6x)dx . (Your answer must include the…

A: Use the integral of polynomial.

Q: 2. (5 pts.) If f(x) = xºex, find f'(x) and f'(1).

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Q: 3. Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y…

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Q: Solution 1 y = (x +3)(2x − 5) y = 2x² + 6x - 5x - 15 y = 2x2 + x – 15 y = 2(2x)2-1 +1-0 y' = 4x+1…

A: We will interpret what the three solutions represent in the following step.

Q: A force of 40lbs acts on a body at an angle of 30°. Express the force vector in component form and…

A: Vector