Find the inverse of g(x) = 7x+9. g(x) = (Simplify your answer.)

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 81 xp

A: Let,I=∫x2-81x3dxI=∫x2-81.1x3dxI=x2-81∫1x3dx-∫∫1x3dxddxx2-81dxI=x2-81∫x-3dx-∫∫x-3dxddxx2-81dxI=x2-81x...

Q: 2 x-6 = 1/8

A: Given:   2x-6  =18

Q: sin ede 1- cos e 8.

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Q: Solve the following differential equation using appropriate method. 2. (2x + 4y + 6) dx + (4x -2y-5)...

A: The given differential equation is; (2x+4y+6)dx+(4x-2y-5)dy=0

Q: Solve the following differential equation using appropriate method. 5. (2xy- 3x?) dx + ( x² + y) dy ...

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Q: Solve: y''' – y'' – 21y' + 45y = 0 y(0) = – 2, y'(0) = 15, y"(0) = - 84 | y(t) = %D

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Q: Write out the First three terms of the following infinite series (-1)" Sin nt n=1

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Q: (axy - 4y-1) dx t x (x-2) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x The solution of the differenti...

Q: Find the Laplace transform of the following: f(t) = cos(2t)

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Q: Plot the point: (r, theta) = (3,-139) The angle is given in degrees. Clear All Draw: Dot

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Q: dx ト メ

A: Method of substitution is used 

Q: Solve for the unknown side lengths of the given triangle. Give the exact answers. To enter the squar...

A: topic - trigonometric ratios sin θ=oppositehypotenusecos θ=adjacenthypotenuse

Q: Let f(x) = 2/3x3 + x2 − 12x + 17. Find the values of x for which the following are satisfied. (Enter...

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Q: 7. sec2 x = 2tanx +4 8. tane = 2sine %3D

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: Q2) if the vechrs V=-i +5 and ū=Tz i+5J+2 R Find a) The scalev component of ū in the divection of V ...

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Q: (sec A - 2)(2 csc A - 1) = 0. What quadrant does A terminate? A. IV only B. II & II C. I & IV D. I o...

A: The given equation is  sec A-22csc A-1=0

Q: x3 dx 2. J T2+9

A:

Q: 2. y' = 4x(2y3 -y)

A: Given differential equation, y'=4x(2y-3-y)..........(i)⇒y'+4xy=8xy-3⇒y3y'+4xy4=8x...........(ii)

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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Q: Estimate the volume of material in a cylindrical shell with length 48 in., radius 4 in., and shell t...

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Q: D. z= X = Cos t, y = sin t; t = T/2 y? + 1'

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

Q: Solve the equation e3z²–10z . e3z-3 = ez²-2

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Q: Vove erf C-∞)= -I or J edt=-1 STT

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Q: Find the equation of the tangent line to the curve y 2x cos x at the point (п, — 2т). The equation o...

A: We will find the equation of tangent line. 

Q: dx Q1. 1+x+x2 ,

A: Given: - The indefinite Integral is, I=∫dx1+x-x2 To find: - The solution of the indefinite integral.

Q: A rectangular box with an open top is to be made from a 16-inch by 21-inch piece of cardboard by rem...

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Q: A hotel rents 200 rooms at a rate of $40 per day. For each $1 increase in the rate, four fewer rooms...

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Q: In an open-top drawer, the material cost of the two sides is $240 per m2. The material cost of the b...

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Q: 12. cosx(1+ tanx)² = secx + 2sinx %3D

A: Prove : cosx ( 1 + tanx)^2 = secx + 2 sinx

Q: Find the following limits: Vx²+21-5 1- lim x-2 x-2

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Q: Evaluate the integral dx et – e-x Note: Use an upper-case "C" for the constant of integration.

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Q: Solve the following differential equation using appropriate method. 3. (r+ sine - cose) dr + r(sine+...

A: r+sinθ-cosθdr+rsinθ+cosθdθ=0

Q: Find the radius of a cylindrical can (with a lid) to contain 1728 cm³ of water, using the minimum am...

A: This is a problem of mensuration. Based on the general formula of volume of cylinder we will calcula...

Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. y ...

A: Given y = 2x² + 4x.     Point ( -2 , 0 ) To find slope & equation of tangent line.

Q: 12 २ (४) = dt | २स Prove !- \) ২-০০) = २(-०० ) 3D \

A: Given that Qx=12π∫x∞e-t22dtTo prove:1. Q-∞=12. Q-x=1-QxSolution:we know that ∫-∞∞e-x2dx=π       ... ...

Q: The joint density function for a pair of random variables X and Y is given. (Round your answers to f...

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Q: Compute the discriminant B(x, y) of the function. S(x, y) = x' + y* - 6x – 2y² + 1 (Express numbers ...

A: Given function f(x,y)=x3+y4-6x-2y2+1

Q: The production function for a firm is p(x, y) = 96x*y"4, where x and y are the number of units of la...

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Q: Problem #1 Find 4x-5x2 +s dx Problem #2 Calculate f'(t) if fle)=3t°csct Problem #3 d4x-x+3 Calculate...

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Q: cot dv cot (v +9) 1-cose

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Q: Evaluate the integral. (Use C for the constant of integration.) | 8x2 + 7x + 8 dx (x2 + 1)2

A: Given query is to find the value of the integral.

Q: Given the differential equation y" - 4y' + 13y = 8 e2* cos(3x) Determine the General Particular Solu...

A: Given differential equation, y''-4y'+13y=8e2xcos(3x)  

Q: Find (f o g)(x) and (g o f)(x). f(x) = 4x² – 1; g(x) == (fo g)(x) =| %3D (Simplify your answer. Do n...

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Q: 3x²-2x+1) **1) dx x+2

A: Topic:- integration

Q: Inverse Laplace Transform; f(s)= 1/s-3

A: Laplace Inverse Transform of 1s-3

Q: You are familiar with the identity S(b) – f(a) = | f' (x) dx. (a) Assume that f has a continuous sec...

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Q: 3. lim f(x) lim f(x) 4. lim f(x) lim f(x) = -2, = +0, x+3- = 2 and f(2) = 0 = -0O x-2+ x+3+

A: Let's find. 

Q: For what values of the constants A and B is the polynomial function Ax 2. 2 4 f(x, у) %3D Ах + Bxy +...

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Q: Note: Kindly provide a solution pls. The answer is already provided. Thank you! 1.13 The length of ...

A: This is a problem of area calculation of sector and triangle inside the circle. Based on the general...

Q: -> https://www.webassign.net/web/Student/Assignment-R000 %3D yP(x, y) dA 1. 1 2-2x (2y + 10xy + 4y²)...

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