Find the inverse function of f(x) = = Specify the domain for f−¹(x) ƒ-¹(x) = x² - 9 Domain of f¹(x) using interval notation: √x + 9.

Q: Q4:A/ By using Linear equation solve the first order differential equation y' + sec(x) y = cos(x)

A: Given y'+sec(x).y=cos(x)To find solution Of LDE:

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A: The equation of a circle of radius 1  is:x2+y2=1

Q: Given the graph of fx), determine the range of f(x) • 8 -10-9-8-7-6-5 OR O(-1) (1.) O(-2) u (2) O(1)…

A: Range of an inverse function is the domain of the orginal function.

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

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A: We know that :-  The ORDER of a differential equation is the order of the highest  derivatives that…

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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: * The following function f(x) = x^4 sinx is odd о neither O O even

A: Replace x with -x

Q: 1 Sz Find the indefinite integral S[=1714 14 X 17 0 dx = 3 X 14 X 14 X 1 3 dx.

A: Solution : Given that indefinite integral is

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A: The objective is to find A and B.

Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-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: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

A: The capacities at which U.S. nuclear power plants are working are shown in the table.ft models the…

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

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A: To find the basis for the given subspace spanned by S .

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A: This question is based on application of diffrential equation.

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Q: dy Q:4) Solve the following differential equation: = 1+ x + xy + y

A: The solution is given below.

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

A: Using exact equation as given below:

Q: 1. g(x) = Sin 39 COS 32 5 ㅈ

A: The objective is to differentiate the equation.

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Q: 1. S x4+a4 dx x3 2. Jydy √a2-y2 3. I cos2tdt (1+sin2t)4 4. I tanßsec2ßdß 5. [(tan) – 1)2d0

A: We have to find  the value of given intregation.

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

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

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Q: Find the domain of the following vector-valued function. r(t) = sin 5ti + ²√² + ¹ k e

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