Use the Theorem of Pappus to find the volume of the torus formed by revolving the circular region bounded by (x - 9)² + y² = 9about the y-axis.

Q: ln(x) (y + ln(x)) dy - ((y ^ 2)/x) dx = 0

A: Separate the variables.

Q: Evaluate the integral. 2 [ 3² F(x) f(x) dx where f(x) X if -3 ≤ x ≤ 0 = {/²3 - x² 16x² if 0<x≤ 2

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Q: Evaluate the following indefinite integral

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Q: What is the y-intercept of y = sec x?

A: We can find the y-intercept in the below steps.

Q: limx→∞ -320 +380e 10

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Q: Find the total area of the shaded regions. x²-x²-8x 6 -2 4 -8 -10 (-3,-12) -12 -14- (3,-6) -x

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Q: Find the line that is tangent to the graph of the equation 2x^y+3xy^2-2x=-6 at the point (3,0).

A: We have to find the line tangent to the given equation.

Q: aluate the integral: 25-x2 12x² is correct for this integral? √ √ 25 ▶ Which trig substitution Ox =…

A: Given query is to find the the integral after substitution.

Q: Limits 1. Below is a graph of the function g(x), find each limit as listed below. If the limit does…

A: As per the rules of the company we are supposed to answer the first question and rest can be…

Q: ه يمنع الانتقال إلى السؤال التالي إجراء تغييرات على هذه الإجابة. السؤال 4 AO .cO 45° cos( ) 60° 30⁰…

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Q: Suppose that $8000 is invested at an interest rate of 5.5% per year, compounded continuously. How…

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Q: Find the solutions of the following quadratic equations by factoring: 7x²-14x=0 2 x² + 12x+27= 0 3…

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Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A: To find the maxima, we will find critical points by calculating f'(x)=0.

Q: 1. Use transformations to sketch a graph of the function below. Draw each transformation separately,…

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Q: Given f(x, y) fz(x, y) = fy(x, y) = = 12/8x5 + 5y + 4xy6, find

A: The given function fx,y=128x5+5y+4xy6 We have to find the values of fxx,y and fyx,y

Q: Find a particular solution to the differential equation y" - 1y' + 0y = -650 sin(5t) Answer: y(t)=…

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Q: How large should n be to guarantee that the Simpsons Rule approximation to - 1 √ ( − x² – 12x³ —…

A: Given,

Q: A case of vintage wine appreciates in value each year, but there is also an annual storage charge.…

A: The value of a typical investment-grade wine after t years is Vt = 2000+60t-10t To evaluate: the…

Q: Find a solution to the separable differential equation that satisfies the initial condition y(1) =…

A: Given query is to find the solution of the differential equation.

Q: The profit per acre from a grove of orange trees is given by x(210-x) dollars, where x is the number…

A: The given profit equation P(x)=x(210-x) dollarswhere x is the number of the orange trees.

Q: evious Problem Math134 03 BasicDerivatives: Problem 11 (1 point) Find an equation for the line…

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

Q: A ball is thrown upward and outward from a height of 8 feet. The height of the ball, f(x), in feet,…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: Question Determine the value of p for the series below. 2 (2) (2) 5/4 Sorry, that's incorrect. Try…

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Q: A) The area under the curve y 8 2² from x = 1 to a = t is equal to B) The area under the curve from…

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Q: you have been given the following innitial value problem. please Solve it. your answer must must be…

A: Given: Now,             dydx=y2-8y+7⇒dyy2-8y+7=dxIntegrating both…

Q: A single bacterium divides every 0.5 hour to produce two complete bacteria. If we start with a…

A: After t hours the bacteria bacteria will be At=6000·22t=6000·4t We have to find the value of A'5

Q: For the function f(x) = 4 cotx determine its stretching factor and phase shift, and then graph it…

A: given f(x) = 4cot(x) We know that, if f(x)=acot(x+¢)

Q: On the distant planet Cowabunga, the weights of cows have a normal distribution with a mean of 474…

A: We need to find probability.

Q: Evaluate the integral. (Use C for the constant of integration.

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = ax…

A:

Q: Find the volume in the first octant between the planes z=0 and z=x+y+2, and inside the cylinder…

A: To find the volume of the given solid.

Q: 21. Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A:

Q: 2 8 I Identify the factors of each expression to figure out the name of the Indian mathematician who…

A: Here, We have given some algebraic expressions now we have to find out their factors and then we…

Q: A company introduces a new product for which the number of units sold S is given by the equation…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) J…

A: We have to solve integral by mentioned integral substitution.

Q: 27. In each case, determine whether or not the lines have a single point of intersection. If they…

A: The objective is to solve the above question.

Q: dy 5) Find the general solution of the non-homogenous differential equation : da x+y+4 5x + 5y +3

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Q: Given f(x, y) = 6x³ — 5xy² + 5y5, find fx(x, y) = fy(x, y) =

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Q: Your Mark: Problem #3: Use cylindrical coordinates to find the volume of the solid bounde Enter your…

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Q: Given f(x, y, z) = fz(x, y, z) = fy(x, y, z) = fz(x, y, z) = x² + 5y² + 3z², find 2

A:

Q: Find the solution to the following differential equa- tion: dy dt - 4y= 10 sin(2t) y(0) = 0 (a) y(t)…

A: The given differential equation is; dy/dt - 4y = 10sin(2t) , y(0)=0.

Q: -7x Sre™-3 + x + x = 1 dx The 3x لوکی

A: Topic:- application of integration

Q: 1+ sin ²x dxx+tan³15x 2sinxcosx 1+ 45tan ²15x (x+tan³15x) (2sinxcosx) − (1+ sin²x)…

A: Topic:- application of derivatives

Q: of the following power functions cou WI apply). O f(x) = x ³ f (x) = x ³ f(x) = x- f(x) = x-

A: Given query is to find the Indicated power function.

Q: = COS + -T (2x) -2. -of T 2π 3f X

A: Given query is to find the amplitude, period and graph.

Q: What is the domain of the equation?

A:

Q: Find c such that f(c) equals the average value of f(x) = 4x - 2 over [-8, -3].

A:

Q: Assume y(x) is the solution to the following initial value problem given below. Find what y(π) is.…

A: y2dx-csc26xdy=0

Q: out

A: