Evaluate: Express your answer in three decimal places. 3x-2 limx→8 2-8

Q: Solve the differential equation. 2. (y^2-2xy + 6x) dx – (x^2 – 2xy + 2) dy = 0

A: To solve the given diffrential equation.y2-2xy+6x dx-x2-2xy+2 dy=0

Q: Determine whether the statement is true or false. fy(a, b)= lim f(a, y) - f(a, b) (y - b) O True O…

A: Given fy(a,b)=limy→bf(a,y)-f(a,b)(y-b)

Q: What is the equation of the tangent line to the curve y = √2 +16when x = 3? V x-10y +47=0 3x-25y-116…

A: SOLUTION-

Q: Find the general solution of the given differential equation. x²y + xy=5 y(x) = Give the largest…

A: To find the general solution of the given diffrential equation.x2y'+xy=5To give the largest interval…

Q: 9. [ 2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: ii. Given g(x)= √x²+5 if x<-2 3-3x if x2-2 Find the following: d. g(-2)= e. Determine with an…

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Q: (a) [In(4) - 2e¹³] dx d b) dx d (c) [2²² - 1 (2²)] = 4e³x In(x [sec (12r) + tan-¹(2x)]

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2. find the derivative 725 - 2z² - 3z + 12 Enter your answer

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Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

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Q: Solve the following equations:السؤال الثالث حل نظام المعادلات by using Cramer's rule باستخدام طريقة…

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Q: The Shroud of Turin, which shows the negative image of the body of a man who appears to have been…

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Q: x + 2 lim x2x²-4

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Q: b. If F'(x) = f(x) then [f(x) dx = F(x) + C

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Q: The equation, with a restriction on x, is the terminal side of an angle 0 in standard position.…

A: Solution: 2x+y=0, x≥0 y = -2x

Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Use limit definition to solve

Q: Create a question (using the Triangluar pyramid) related to vectors and then solve it. Don't make…

A: First we will frame a question and then solve it.

Q: U dou U 3 cz³ Ox² x³y² 2 Z Oy + 3 x ³ yz

A: Given :u=x3y2z2+x3yz

Q: Evaluate the following integrals: 4T Vcsec 0 de 0

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Q: 3. 21 ) f(x) = 3x + 1 [1,3] n=3 a=1 right left & middle hand rule b=3

A: To find out the left, right and midpoint riemann sum.

Q: 1. Determine the value of each of the following limits if they exist. 1²-21-8 +¹ -1 X 3a) lim- b)…

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Q: whats the value of alpha?

A: In question their is no such variable alpha . Question is incomplete.

Q: Solve this question yey = 1

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Q: Find the area of the region bounded above by y = -x² + 4 and below by y = x - + 54-324 2,345 ມາຜ່າ !

A: We are asked to find the area of the region

Q: please answer #2 #3 #4 find the transcendental curve sketching and the following a. symmetry b.…

A: Since we are given the multiple number of questions and answered according to the guidelines.

Q: Given the differential equation y'' − 3y' – 4y = - 2 sin(2t), y(0) = 0, y'(0) = - = - 1 Apply the…

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Q: Find the volumes of the solids generated by revolving the region about the given line Use the…

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Q: 1. Solve the equation 6³x+1 = 22x-3 Leave your answer in exact form.

A: We have to find out x

Q: 12. DETAILS ZILLDIFFEQMODAP11 1.R.001. Fill in the blank. The symbol C₁ represents a constant. d =…

A: The solution is given below.

Q: √=x if x1 Let f(x)=₂x

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Q: On which of the following intervals is the function f(x) = x3 differentiable? (0, +∞0) 0 (-00, +∞0)…

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Q: Find the area between the y-axis and the graph X = 543-2-1 1 2 3 4 5 (y - 3) dy = 6.500 (y - 3) dy =…

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Q: Solve the differential equation. 8. x ( 3xy – 4y^3 + 6) dx + (x^3 – 6x^2y^2 – 1) dy = 0

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Q: A rectangular box is to contain 125 in3. Find the dimensions of the box for which the surface area…

A: Given problem:- A rectangular box is to contain 125 in3 Find the dimensions of the box for which the…

Q: 2|6x + 4 ≥ 1 OX - 7/12 O-7/12 - 12/7

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Q: Determine the infinite limit. x² x→9 (x - 9)² lim O 8 88

A: Find out the limit of the function.

Q: 3. Graph and then find the area of the region bounded by the curves y = 8x - x² and y=2x−7.

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Q: 2π -5.² b- - 1 do (1 + tan²0)³ 0

A: See this solution in below

Q: (a) Does the point P(1, 2, -1) lie on the line & given by the vector equation (x, y, z) = (2, 1, -2)…

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Q: Find an equation of the tangent plane to the given surface at the specified point z = √√√xy, (3, 3,…

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Q: Solve the differential equation. 10. ( cos 2y – 3x^2y^2) dx + (cos 2y – 2x sin 2y – 2x^3y) dy = 0

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Q: Question 5 What is the limx→ [(ln(2x - 4)) - (ln(x+3))]? If your answer is a Whole Number Fraction…

A: limx-infinity [ln(2x-4)-ln(x+3)].

Q: e) f(x)=tan(cos¹.x) () COS X [+sil x h) y = 2

A: Given

Q: Q.2-Solve the differential equation (answer three questions only) lo d. y""-6y" +12y' - 8y = 0

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Q: PROBLEM: Integral of sin²x cos²x dx is equal to A. X+C B. cos2x/16-x/8+C C. x/8-(sin 4x)/32+C D.…

A: We need to find integral.

Q: PROBLEM: The area in the first quadrant bounded by x2-8y, the line x=4 and x-axis is revolved about…

A: Use washer method

Q: 1) lim (tan x) cos x X-2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Find the area between the y-axis and the graph X = Y 7 6 5 4 X 543-2/1² 1 2 3 4 5 WŃ y - 1 on the…

A: Here we have to use the concept of integration

Q: Let f(x) = Bx2 + 6 t where Bis a constant. If the slope of the tangent line to the graph of f at æ =…

A: f(x)=Bx2+6sqrt(x).

Q: x. e²ydy + (*²*¹) dx = ( 0 (Variable separable)

A:

Q: The temperature of a room in degree Celsius is modeled by a differentiable function T(x) where x is…

A: We need to choose correct option.