Evaluate 6-2x-3y (2 2x dzdydx =

Q: 31. Let f be a function whose first derivative is f'(x) = In (x¹ - 2x² +1)+1 on the interval [-2,…

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Q: (a) Evaluate 3x² + 2y² lim (x,y) →(0,0) √√x² + y² (b) In (3-4)

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Q: Problem 2: Using index notation, demonstrate mathematically the following equations: 1- uxv=-vxu 2-…

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Q: ermine lim -1- 2x³5x2 x² - 1

A: Given query is to find the limit of the expression.

Q: Solve the DE y'= 5xy - 2x, subject to the initial condition y(0) = 1 (when x = 0, y = 1). 2xy + 5x =…

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Q: 1. Suppose that g(x) - 2 ≤ 3(x-1)² for all x. Find lim g(x). Justify every step.

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Q: xy dx - (x² + 3y²) dy = 0.

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Q: Use the root test to determine whether the series converges or diverges. If the test is…

A: we need to find whether the series converges or diverges using the root test.

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: To find out the peak of mountain for the given atmospheric pressure.

Q: w much will you owe arter 2 years? (Use 52 weeks per year.) "street" language, the profit on such a…

A: We will find the required.

Q: If the tangent line to y = f(x) at (7, 3) passes through the point (0, 2), find f(7) and f'(7). f(7)…

A: Given: The tangent line to y=fx at 7,3 passes through the point 0,2 We have to find the value of f7…

Q: Find the area A of the sector shown in each figure. (a) A = X 71° 7 WebAssign Plot

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Q: 12. h(x) = sin x X

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Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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Q: Given the graph of g(x) (below), find 15 -5 (1, 12) g(4)-g(1) 4-1 10- -5 0 (4, 6) Graph of g 5 10

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Q: Compute the second-order partial derivatives of f(x, y) = e5x² - 4у2 a² f дх2 -(x, y) 22 f дхду 22 f…

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Q: Euclidean Algorithm: Express 13 as a linear combination of 39 and 26. Find x and y such that…

A: See this solution in below.

Q: 30. Determine the particular solution of the following differential equation: 6y' = (2x + 1)(y² - 2y…

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Q: A machinist is required to manufacture a circular metal disk with area 2300 cm². (a) What radius…

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Q: A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is…

A: A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is…

Q: If f(t)=√√²+2√√3³, find f'(t).

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Q: 1. State whether f and g represent the same function. Explain your reasoning. x² - 1 x+1 1 (a) f(x)=…

A: We can explain the answers in the below steps.

Q: Find all (xo, Yo) in which f(x,y), y(x) = Yo has a solution and a unique solution on some open…

A: It is given that, y'=ln1+x2+y2.   The objective is to find all x0,y0 for which fx,y,yx0=y0 has a…

Q: A tank holds 3,000 gallons of water, which drains from the bottom of the tank in half an hour. The…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  t 5 10 15 20 25 30…

Q: 3. (2y2 + 3xy - 2y + 6x)dx + x(x + 2y - 1)dy = 0

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Q: 5. 27 × 12 ㄷ 54 350 6. 18 x 15

A: The answer of 5) 27*12 = 324 The answer of 6) 18*15 = 270

Q: 4. Determine the particular solution of the following differential equation: y'=5xy-2x Where: x=0;…

A: Topic = Differential equation

Q: 56. s 1 √x² +9 dx

A: See this solution in below.

Q: 6. 3xy dx + (x² + y²) dy = 0.

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Q: The graphs of y = f(z) (solid) and y = g(z) (dashed) are shown. The two graphs intersect at (7, 10).…

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Q: Type of DE

A: Please see the below answer.

Q: Find the solution of the following DE. Show your complete solution. 1. y' 2x v+x²y ; y(0) = 2

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Q: C. Write the equation of a circle in general form. Determine the center & radius. Sketch the graph.…

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Q: 3) y(2x − y + 1)dx + x(3x - 4y + 3)dy = 0

A: On solving this we will get

Q: Let f(x) = x³. (a) Estimate the values of f'(0), one decimal place.) f'(0) = 0 F'(-/-) = 0.8 f'(1) =…

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Q: Find the next term in the sequences 5,3,2,6,-4,-24,20,x.   Find this x. Please give me the full…

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Q: Use integration by parts to evaluate the definite integral In (x+2) dx

A: To evaluate the given integral using integration by parts.

Q: 1. Find the slope-intercept form of the equation of the l given that l is the perpendicular bisector…

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Q: Find an integrating factor for each of the following equations and solve these equations. 1) (x² +…

A: Solution

Q: 2. lim tan x x 플 →

A: The given limit is limx→π2-tanx

Q: 14. f(x) is a function with the following properties: f(x) has a local minimum at x=-1 f(x) is…

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Q: Show that f(x, y) = ln(eax + ey) satisfies fx(x, y) + fy(x, y) = a.

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Q: 11. Consider the function f(x) = x³-ax²-x+b X+1 lim f(x) exists, determine all value(s) of lim f(x).…

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Q: (a) Let R be the region enclosed by the curves y=x² +2 and y=x+4. (i) Sketch the region R. (ii) Find…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15 -…

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Q: 29. limx→ In A. 00 B. باد 8 n (-/-) 3x² 7x³-10 3 C. D. 31/17 E. Does not exist

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Q: Find the derivatives using the of limits (4-step Rule). Show each step from step 1 to 4. C…

A: -41-3x2' =-411-3x2' =-41-3x-2' =-21-3x31-3x' =-4-21-3x3-3=-241-3x3

Q: Write an equation for the polynomial graphed below y(x) = 4 3 2 1 1 2 3 Submit Question H a

A: We have given graph of the polynomial  From given graph  Zeros : x=-4,-2,3,4 y-intercept : y=2 Let,…

Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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