X-2 dx Evaluate the integral: Sein(x²+3x-7) A x²+5x+In|3x-6|+C B ++ In|3x-6|+C 2 5 © +²2+5x+In/x-21 +C 3 D X+5x +5x+31n|x-2|+C 2

Q: 7.) (2x-y)y=4x-2y-5

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

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A: Let's solve given diffrential equation by using separation of variables.

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Q: sin (+) can be expanded to: π TT O sin COS sin sin 4 7 TT O sin sin COS cos 4 T Osin COS + cos sin…

A: Solved below.

Q: Find f such that f'(x) = f(x)= f(16) = 21.

A: Topic:- application of integration

Q: 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

A: Answer highlighted 3 questions(2,4,6)

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A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: (x²-3x+1) dx

A: Given that ∫23x2-3x+1dxSolution :∫23x2-3x+1dxx33-3x22+x23333-3322+3-233-3222+2

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A: Let's find volume of two curves rotating about x axis.

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Q: Evaluate. Then interpret the result in terms of the area above and/or below the x-axis. [(x²-3x) dx…

A: Here, we have given a definite integral and we have to evaluate it we have to find what amount of…

Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: the integral: (u +3) du 1²5 -dx (3) √74³ cscxcotxdx

A: We have to find out integral

Q: Find the following integrals a) f_d dx x√In x

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Suppose that cote = c and What does sin equal in terms of c? O sin = √1+c² O 1 sin = √1-c² O sin =…

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Q: 2) x² + y² - 16x + 18y +96= 0

A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

Q: o find 224 ах ду and 224 ду ах' we must first find af af and ?x ду

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Q: lim 81x √16x2 4x

A: lim   16x2/4x x -->∞   lim   4x/4x x -->∞ = 1

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Q: What are the corresponding polar coordinates for the Cartesian point (-4,-4√3)? (-8,5T) 8, O Option…

A: This question is based on conversion from Cartesian to polar coordinates.

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Q: How many arbitrary constants can be obtained from the answer if the given y"+y'+6y=9x³+x²-x is…

A: We know, The number of arbitrary constants in the general solution of a differential equation is…

Q: Let R be the region bounded by the functions f(x) = -4x² - x and g(x) = -5x as shown in the diagram…

A: This question can be solved using the concept of area bounded by two curves.

Q: Use the equation to name each of the characteristics listed. Make sure to use proper notation and…

A: Let's find given all characteristics of function.

Q: Find the solution of y" − 8y' + 16y = 0, y(0) = 1 and y'(0) = 5. y(t) = Ae4t + Be-4t y(t) = e4t+te4t…

A: The given equation is;  y''-8y'+16y=0, y(0)=1 and y'(0)=5.

Q: Solve the integral: 1 √√√√√x+x dx

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Q: 3) x² + y² + 16x+10y+80= 0

A: Given

Q: (x²-3x+2) dx

A: Please see the below picture for detailed solution.

Q: Let zy Find dx dt dy dt 3 and when I 2. 2.

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Q: Which of the following represents the graph of The line with y-intecept 7 and slope 100 The line…

A: Solution: Given: y=100x-7 Compare with y= mx+c where m is slope and c is the y- intercept  m=100 and…

Q: Question 10 : Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It…

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Q: dy ssuming 5x³ +9y² − 4xy = 0 defines y as a differentiable function of x, use the theorem == dx Fy…

A: Given query is to find the derivative at indicated point.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

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

A: We have to solve given differential equation.

Q: 10. Prove the identity: 2 + cot² (x) _ 1 = sin² x - csc² (x)

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Q: - EXAMPLE 3 Find the particular solution of 3xy' y = lnx + 1, satisfying y(1) = -2. x > 0,

A: It is a first order differential equation.

Q: √ √9-x S*/2 (B 9 ft/cos Ⓒ 18 "/2 D 95*1/2 sin Evaluating A 18 9-x² dx using trigonometric…

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Q: 4. f(x) = √3x5 - 2x + 7x²= 18x-25

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Q: (b) En=1 m

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Q: 1. Write the explicit formula for the sequence. Then find the fifth term in the sequence. a₁ = 120,…

A: Considering the sequence to be geometric

Q: Let f(x)=6x²-5 to find the following value. f(t+1) f(t+1) = 0

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Q: 2 1) x² + y² + 18x - 26y +246=0

A: Topic = Equations Only question 1 is answered , As per asked by student.

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A: see below the calculation

Q: Solve the following differential equation with initial value = 6x² 2y+cos y y(0) = 0 b) x²y + xy = 1…

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Q: Find the rate of change of total profit, in dollars, with respect to time where R(x)=80x−0.5x2 and…

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Q: Given the general solution for nonhomogeneous equation with constant coefficient is y(x) = y(x) + y…

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