Find the area bounded 1. 2x2 + 4x + y = 0,y = 2x

Q: Find the distance from the point (0, -1, -2) to the plane - 4y – 4z = 5.

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Q: The matrix is defined as A= 1 has characteristic equation of 22 + DA + 3, so the value of D…

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Q: Evaluate the following integrals. 1.) Sdv csc 3v 2.) S cot 9x dx

A: ∫5csc(3v)dvSubstitute u=3v→dudv=3→dv=13du=∫53csc(u)du=53∫sin(u)duWe know that…

Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

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Q: Determine the exact solution of the following differential equation y = 2 - y at y(0) =1. So the…

A: See this solution in below

Q: 42 2.

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Q: Solve the following by using Higher-Order Diffential Equations-Homogenous Linear Equations with…

A: Given that     (D5+D4-7D3-11D2-8D-12)y = 0

Q: 1 4. Find the maximum value of f (x) = In(x- Inx) on the interval-<x<e. e

A: Given problem:- Find the maximum value of ƒ (x) = ln(x−lnx) on the interval 1/e≤x≤e

Q: fle 30 4) de 3e +1

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Q: 8. f2*Inx dx(ו1 + In)x

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Q: dy Find dx Given: 3y2 – 5xy2 + 2x +2 = 0

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Q: A company produces a special new type of TV. The company has fixed costs of $486,000, and it costs…

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Q: The area between the curves f(x)= x^2,and g(x)=1 1/2 1/4 O 4/3 O 1/3

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Q: Use TRIGONOMETRIC SUBSTITUTION 1 to find f dm m²V9-m2

A: LetI=∫1m29-m2dmI=∫1m232-m2dmSubstitute m=3sin(x)Differentiate…

Q: 4. Find the maximum value of f (x) = In(x – In x) on the interval -sse. e

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Q: The initial population of a city in the year 1998 was 128 000. The rate of change of its population…

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Q: 5. Solve the equation: (D² – 3D + 2) y = 2r² + 1 O y = cje* + c2e²« + 4x + 3x² + x³ O y = cje" +…

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Q: 1014x + y – 3z = -3 0-x-3z = 13 Bx +5y-4z = 20 %3D

A: Given equations 4x+y-3z=-3              (1) -x-3z=13                   (2) 3x+5y-4z=20…

Q: sec =zydy

A: Given

Q: Find the partial derivative of the function with respect to each variable. h(p.p.0) = p sin o cos 0…

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Q: 6. Let A = {x € R | x² = 64 }. Then, |P(A)| = 16. 7. Let D = {x € Q|x² = 5 }. Then, D is singleton.…

A: This is a problem related to set theory. Based on the general formula and concept we will answer the…

Q: steel

A: Please refer to the image below

Q: 2 3 2 [4х - 5х + бх + 9) dr

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Q: What is the difference between a first-order linear differential equation and a second-order linear…

A: We can explain the answer as below.

Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

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Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

A: Given

Q: y" - y " -2y' = 0 O y = cje* + c2 + C3e2* O y = cje* + cze* + cze2*

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Q: Find an equation of the ellipse with foci at (-4, 3) and (-4, –9) and whose major axis has length…

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Q: Exercise 195 Further problems on Leibniz's theorem 5. Find an expression for y(4) if y =e'sin t.

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Q: Find all the second order partial derivatives of g(x.y) =xy +5 sin (y) + 4y cos (x). please solve

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: Option (B) Diverges

Q: The matrix given is in reduced echelon form: 1  0  5  -2 0  1  4   1 0  0  0   0  Write the…

A: To write the matrix equations.

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

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Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3xª – 4x³ %3D (b) f(x) = 3xª –…

A: We have to sketch the graph of the given function.     According to our guidelines we can solve only…

Q: 1. Solve the equation: (4D4 – 4D³ – 23D² + 12D + 36) y = 0 O y = cje* + c2xe2" + c3e¯7 + c4xe¯i O y…

A: The given equation is: (4D4-4D3-23D2+12D+36)y=0...(1)

Q: A. Given f(x) = x³ - 4x2- 4x + 16, find; a. Zeros of the function b. Critical numbers c. local…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

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Q: QUESTION 6 Determine the unique solution of the following differential equation by using Laplace…

A: Let's solve given diffrential equation by using laplace transform method.

Q: Find what value of c does S da = 1? 4 Answer:

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Q: Find f(t) ( Inverse Laplace Transform )of the following functions пп s+1 1. F(s) 2.F(s) (s +2)´+n²n²…

A: As per Bartleby guidelines we are supposed to answer only first question. Please post other question…

Q: SET-UP ONLY the definite integral that will give the area of the region bounded by y = x +1 and x =…

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Q: 5.) What can you conclude when dx is changing from negative to positive? A) fis at a local minimum…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: polar of a point are giv the pon R/2 R/2 6f 4 4 2 2 -6 -2 4 6 -2 -4 R/2 R/2 6. 4 4 -6 -4 2 -6 -2…

A: Topic = Geometry

Q: Solve for x. Leave answers in exact values. a) In(e**) = 25 b) 20 = 4e-2x c) eln(ax) = In e %3D

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Q: : Find f(t) ( Inverse Laplace Transform )of the following functions s+1 1. F(s) 2.F(s) (s +2)+n?n2…

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Q: The general solution of y" + y = cos? x

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Q: 10) Find the linear approximation to g(y) = Cos(y+1) at y = 0. Use the linear approximation to…

A: Here, the given function is: g(y)=cos(y+1) To find the linear approximation of g(y) at y=y0=0 using…

Q: Evaluate the integral Se*dx

A: We can solve this as follows:

Q: TT Sz sin? Bcos? Bdß 2

A: