Find the general solutions of the system. 601 x' = 08 8 -4 x 01 4 x(t)=

Q: 1. If f(x) dx = 3, evaluate [[1 + 21(x)] dx using the properties of interga 2. If f(x) dx = -2 and…

A: As asked we can answer question no 1 and 4 as below.

Q: claurin series for the given function. e² - e- 3 2 lor series generated by the function f

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Q: where does the function 1/sin(x) not exist? what happens if we try to calculate any of these values?

A: We have to find the values where function values doesn't exist.

Q: 2x dA over the region R Find ₁² of a solid {(x, y) |0 ≤ x ≤ 3,0 ≤ y ≤ 5} by identifying it as the…

A: Solve

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

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Q: Given the function y = 8/x4. (Sketch the graph) a. Find the plane area bounded by the lines x = 1,…

A: As per the company guidelines We can first three parts  only. Please understand. Kindly repost the…

Q: Calculus. Please write the complete solutions legibly. Upvote will be given! Find the area inside…

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Q: Find the producers' surplus at a price level of p = $61 for the price-supply equation below. p=…

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Q: Suppose that f(x, y) A D Then the double integral of f(x, y) over D is f(x, y)drdy = and the region…

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Q: Which graph represents the function f(x) = x+1?

A: In this question we have to find which graph represent the given function.

Q: ample 23: Show that the function f(x)=1-1-x is continuous on the interval [-1. 11.

A: A function y=f(x) is continuous in an interval [a,b] if it exists for every x∈[a,b] In other words a…

Q: Solve the initial value problem y" - 2y' — 8y = 0, y(0) = a, y′(0) = −6. Find a so that the solution…

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Q: For the function ?(?) = ?2 − 2? + 5, estimate for the instantaneous rate of change at x = 3. Round…

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Q: Find an equation for the tangent plane to the surface z + 1 = xy² cos(z) at the point (1, 1, 0)

A: Solve by eq

Q: f(x) = 14x - x², [0, 5]

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: ▪ Let L:2 y+3 Z+4 X-2 = = and M: 2x - 3y + z = 6 are line and 2 5 plane and let P be the…

A: First we find the intersection point of line and panel

Q: 1 x-3 x2-3x-4 dx

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

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Q: Evaluate the integral f sin²x cos³xdx.

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Q: Use the Table of Integrals to evaluate the integral. xdx S 2 x - 10x Select the correct answer. X -…

A: We have to find integration of given question.

Q: The Interior angle of a regular octagon has a measure of: CA. 120%. OB. 135% C. 45 D. 60° COC

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Q: Find the first derivative of * In (sec y + tan y) - x - sinx = 2 O tany (cos.x + 1) O cos y (cos x +…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 2 + 5x² + 4y², the planes x = 4…

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Q: Determine the Cartesian equation of a plane that is perpendicular to the plane x - 2y + z = 6 and…

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Q: Suppose that f(x, y) = e/ on the domain D = {(x, y) |0 ≤ y ≤ 1,0 ≤ x ≤ y³}. D Q Then the double…

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Q: 3x+2 2+9x+1 dx

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Q: Əw 1. If w=x" f() show that x ax +y Əw ду = nw where n = integer.

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Q: If y₁ and y2 are linearly independent solutions of ty" + 3y + testy = 0 and if W(y₁, y₂)(1) = 4,…

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Q: How many paths spell MANAGE? A N A A E a) 15 b) 100 c) 10 d) 20 M ΣΖ A E N G A

A: Use: Pascal's method

Q: Suppose an angle a is drawn in standard position. In each case, use the information to determine…

A: We have to find the quadrant for the angle alpha which satisfies the following conditions  a)…

Q: Find the area of the shaded region. y y=x² (-2, 4) -2 A = -4 6 4 2 (1,6) |3y=2 3y=2x+16 (2, 4)…

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Q: Differentiate: 4. y = 6* log7 x

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Q: -if y=x² the dy dx

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Q: 2. ₂(x³ - 3x + 1)dx

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Q: In one area, the lowest angle of elevation of the sun in winter is 20° 11'. Find the minimum…

A: As we know that for a right angle triangle tanθ=HeightBaseAnd conversion formula from minute to…

Q: Evaluate the integral Select the correct answer. ( x + 6 In ( e* - 1 ) + C ○ 4x-31n (e*-1) + C 6x…

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Q: Determine the critical points of f(x) = 8x3+81x2−42x−8.

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Q: 17 What is the degree of vertex 4? O 1 ez el V2 V₂ Des

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Q: Evaluate the following integrals C. [x√x + 1dx

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Q: Find the sum of the arithmetic series where n = 60, a = 9, and t60 = 422

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Q: 16. Using the Quotient tanx= sinx/cosx to prove d/dx tanx=sec2x

A: Quotient rule of differentiation

Q: sec ( =) af Given f = e - yt+y, find dy sec 21 ____=_=(4) tam(3) ²(3) __g²¹3-¹ (z+y+yn (y)] xe sec…

A: see below the answer and calculation

Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

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Q: b. 1 1 + In u น - du

A: We can you evaluate the given integral by using the substitution v = ln u

Q: QUESTION 16 hexagons can form a tiling of the plane. A. All OB. No C.Some

A: Option (C) is correct.See below the answer and explanation

Q: What is the average value of f(x) between x = 1 and x = 5 forf (x) = 2.t? 32 O 31 O 10.82 9.28

A: Average Value of f(x) between x=a and x=b , favg= 1b-a∫ab f(x) dx

Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

A: