Given the triangle to 4 decimal places. x = 26/ 42° 28 x find the length of side x using the Law of Cosines. Round your final answer

Q: Sketch the function f(x): x² +1 4x²-9

A: We need to sketch the function.

Q: Use Cartesian coordinates to evaluate JJ v² av where D is the tetrahedron in the first octant…

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Q: P, Q and How far is the point S from the plane that contains the points R?

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Q: Consider the function f(x) = 3x² − 8x + 6, 0 ≤ x ≤ 9. The absolute maximum of f(x) (on the given…

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Q: Let 1 5-1 A = 0 1 0 and P = 0 0 0 15-2 05 Given that P diagonalizes A, then compute A¹¹. i A" i i

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Q: convert the Following differential equation into a perfect equation and then Find its general…

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Q: a) Sdx 5

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Consider the function f(x) = 3x² − 2x +9, 0≤ x ≤ 7. The absolute maximum of f(x) (on the given…

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Q: 2x²+3x+1 x-1 f(x)=3

A: Given problem:-

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Q: o an iterated triple integral in the order dxdzdy that gives the vol first octant enclosed by the…

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Q: Assume that x and y are both differentiable functions of t and are related by the equation y = cos…

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Q: A Norman window is in the shape of a rectangle surmounted by a semi-circle. 38. Which of the…

A: We are allow to solve one question at a time.if you need rest of solution please upload it…

Q: Find the area between the curves f(x) = −x² + 4x and g(x) = x² - 6x + 8.

A: Basic identities of integration are used

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Q: COLUMN A 17. To each person on the earth assign the number which corresponds to his age. 18. To each…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Zxx-4Zxy-Zyy=0 Zxx+4Zxy+2ZyY=0 Zxx+Zyy=0 Zxx+6Zxy+9Zyy=0 Zxx-10zxy+26Zyy=0

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Q: ¹In(1 + x) -dx X

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Q: o classify the following PDES :- 227 ахг <-2 822 буду +2 82 дуг =x+3y 2 X •x2 Ихх - 2 xу Иху +ў Иуу…

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Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: Consider the following vector fields: F = (3x²e²ª, 2x³e²y + 2 cos y sin y) and Ġ = (y+z, x+y, z —…

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Q: Find the characteristic equation, the eigenvalues,

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Q: dy dx = x+1 2(y+3)

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Q: You are given the polar curve r = 3 cos(0). (a) List all of the points (r, 0) where the tangent line…

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Q: Ja 2s + 2 (s² + 1)(s - 1)³ ds

A: Given :∫2s+2(s2+1)(s-1)3ds

Q: Determine the constants a and b in the equation of the curve y = ax + b³ + ca+d having a critical…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: . For the function f(x)=x 4 -5x 3 -9x 2 +2x+1determine the intervals of concavity and inflection…

A: f(x)=x 4 -5x 3 -9x 2 +2x+1

Q: 8) If f(x) = x(x-1)^3 , then which of the following statements is correct? A) f(x) has a point of…

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Q: Consider the basis S - (V₁, V₂} for R², where v₁ - (1, 1) and v₂ - (1, 0), and let T:R² R² be the…

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Q: dy Write down a differential equation of the form dt 11 solutions all approach y = as t → ∞. 12 y' =…

A: Given problem:-

Q: Given: Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a…

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Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

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Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

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Q: What is the value of a such that the function y = 2x4 - ax² + 3 has twin global minima at x = -3 05…

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Q: Q.1// (A) Use trigonometric substitution to find f- x²-2x-5 x3-5x² (B) Use partial fraction to find…

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Q: □ classify the following PDES :- 827 82 827 дхг -2 +2 =x+3y буду дуг 2 2 X ох Ихх - 2ху Иху +у Иуу…

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Q: Question 7 Determine the x - coordinate of the local ma Or - 18 O r = 16 O = 1.0 None of the choices…

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Q: Consider the function f(x) = 4 − 4x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: Consider the function fx=4-4x2, -5≤x≤1.To determine the absolute maximum and the absolute minimum…

Q: (a) the volume of R using cylindrical coordinates with dV = r dz dr de w

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Q: dy Write down a differential equation of the form dt all other solutions diverge from y 9 as t →∞. =…

A: The differential equation has a form dydt=ay+b whose all other solutions diverge from y = 9 as t→∞

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral for volume.

Q: Use Cartesian coordinates to evaluate SSS y² dv av where D is the tetrahedron in the first octant…

A: Given D is the tetrahedron in the first octant bounded by the coordinate planes and the plane 2x +…

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

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Q: The width and length of a rectangle are measured to be 3 m and 5 m, respectively. These come with an…

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Q: Given cost and price (demand) functions and C(q) = 115q +31000 and p(q) = -2.3q + 800, what price…

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Q: As shown in the required readings or videos solve the Logistic Differential Equation below for an…

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Q: conver the Following differential equation into a Perfect equation and then find 1+5 general…

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Q: (1² +21) dx dt = = 2x + 2 (t, x > 0), x(1) = 1

A: Given that: (t2 +2t) dx/dt  = 2x+2 ; x(1)=1. Find the solution of this initial value problem.   Here…

Q: Use double integration to find the volume of the solid bounded = 11 - x. by the cylinder x² + y² =…

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