Differentiate the function. 7-x f(x) = 2+x f'(x) =

Q: Suppose that the piecewise function f is defined by Determine which of the following statements are…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first question.Please…

Q: Find the derivative of the function. g(x) = (sech(7x))² g'(x) =

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Q: Q:5) A) Use the definition to determine whether the series converges or diverges 530+2 اسور

A: First I have written the Ratio test for Convergences of a series and show that , given series is…

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: Find the derivative of each of the following functions using any method. 7.) f(x) = 6cot(sin(4x))…

A: 7. fx=6cotsin4x8. fx=6sec7x29. fx=e6x2-17

Q: Solve the differential equation where y = 8 when = 0. y + 3y x + 3 = (x+3)8

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Q: State the order of the given ordinary differential equation. (1-x)y" - 5xy' + 2y = cos x Determine…

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Q: Find the general solution of the given differential equation. xdy+3y=x²-x dx y(x) = Give the largest…

A: The objective is to solve the above question.

Q: State the order of the given ordinary differential equation. (sin e)y"" - (cos e)y' = 3 Determine…

A: The order of a differential equation is the order of the highest derivative present in the given…

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 5x)y², y(0) = 8…

A: Topic = Differential equation

Q: Find the solution of the given initial value problem in explicit form 1 y' = (1 - 5x)y², y(0) = 9

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Q: Laplas Inv Q1/ Find -1 s² (s+1)(S-1)²

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Q: Show that the series n=0 xn cos(nx) x² +n³ + 1 defines a differentiable function g(x) for x in [-1,…

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Q: B)Convert 20= tan¹r to cartesian.

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Q: The equation of a surface in spherical coordinates is given by p= 6. Rewrite this equation in…

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Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

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Q: Solve the given differential equation. All solutions should be found. dy 3x² – 2y - y³ 2x + 3xy² dx…

A: Given differential equation is dydx=3x2-2y-y32x+3xy2

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Above question is solved.

Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Please see the below picture for detailed solution.

Q: Solutions converge to the function y =

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Q: Solve by Gaussian elimination x-4y-2z = 21 24y + 2 = 3 3x+2y-z = -2

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Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

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Q: Sketch each of the following: . the solid E • the projection of E onto the xy-plane the projection…

A: answer is in next step.

Q: Q3) find the soluation of differention equation 2) y' sin 2x = y cos 2x

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 7y - y³ = dx 7x +…

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Q: Q5) Solve dx dx +2xy = 3 by using Euler's method to find the approximate solution up to X-2.9 when h…

A: The solution is given below

Q: [1 if A= 2 13 2 1 -2 * find det (A) if 3 3 -11 6 O 38 O 16 O 18 O 48 O

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Q: Solve for GS/PS for the following differential equations. Write neatly and legibly and upload your…

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Match each equation to the right triangle that represents the same statement. (Choices can be used…

A: To find out the correct match for each of the statements.

Q: Q4 Solve by Gaussian elimination x-4y-2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: You may use your calculator. A particle is moving with velocity v(t) = t2-9t + 1 seconds inclusive.…

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Q: * Find dy/dx for the function_y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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Q: rectangular plot (the fourth side is a er and will not require fencing). Find the dimensions of the…

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Q: Sylvia had planned a shopping trip to the United States so she bought US$500 from a bank when the…

A: Concept: Sylvia has US$500 First, the exchange rate was US$0.7834 for C$1 Then the exchange rate…

Q: Evaluate the indefinite and definite integral (2e* - 3e-2x) dx

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Q: Consider the level surface defined by the equation x² + 2y²-3z² - xyz = 8, find the following: a)…

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Q: dx It see ax a) x + 1 (cot ax- csc ax) + c 6) x + 1 ( cot ax + μc ax) + c c) x + £ (cut ax + cac ax)…

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Q: 04:B/ Simplify Moivre's theorem? [cos 30+ i sin30 15[cos 0-i sine 1³ [cos 50+ i sin50][cos 20-i…

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Q: 3) The line L: x = 3 + 2t, y = 2t, z = t intersects the plane x + 3y -z = -4 in a point P. Find the…

A: This question is based on 3-d geometry.

Q: Q1: Find the general solution of the following first order D.Es? (Answer two only) CELE MAI ) c)…

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Q: -1/3 4/3 (4) Find t(n) for the function t(n) = 3n +4n (4) (n) =

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Q: Find the derivatives of the function f for n = 1, 2, 3, and 4. f(x) = x sin x n = 1 f'(x) n = 2…

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Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

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Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: I am attaching image so that you understand each and every step.

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: Determine whether the differential equation (7x² - 2xy + 6) dx + (7y² − x² + 7) dy = 0 is exact. If…

A: The differential equation,    7x2-2xy+6dx+7y2-x2+7dy=0

Q: answer

A: We have to choose the correct option from the given options according to the given information

Q: 12. Calculate the area of the segment cut from the curve y = x (3-x) by the line y = x. A. 5/3 sq.…

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