A torus is formed by revolving the region bounded by the circle x2(squared) +y2(squared) = 4   around the line x=3.  Find the volume of this doughnut-shaped solid.

Q: Find Domain and Range y=- ex-1 The domain is (-00,00) and range is (-00,0) The domain is (0,00) and…

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Q: 4. Let w = f(z) = 2iz + 6z, find u and y and the value of fat z = ¹+ 4i

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Q: .24. Use the definition of derivative to show the derivative of f(x)=√x is f'(x) 3/1²* [Use the fact…

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Q: C(4)-C(0) 4 AC(t) 4 The energy in a rechargeable battery is changing with respect to time, such that…

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Q: 1. Let f(x) = |x-1|-3. (a) Sketch f(x) for x > 0 and label where f crosses the x-axis. (b) Find a…

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Q: Find y' for sin x+sin y = 1. Find y' for xcos y=sin(x + y).

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Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

Q: Match each equation with its graph. (Do not use technology.) The x y-coordinate plane is given.…

A: see below the answer and explanation

Q: 1-37+27= 0 ➜ 1 (1-1) (1-2)=0 1₁=0, A₂=1, d3=2 X 2X 21 Y₁₁(x) = C₁ + c₂e² +₂e² U₁1, U₁₂- and U₂=2² е…

A: Given.

Q: Function 1 t h(t) = sin t+=e 5 Point πT 1 I, -e 5 (a) Find an equation of the tangent line to the…

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Q: Consider the series 6+4 6n³-6n+8 n= We will try to use the ratio test to determine whether this…

A: To use ratio test to determine whether the given series converges or diverges

Q: f(x+h)-f(x) h (must show work for full Find a simplified formula for the difference quotient for the…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: Show that the equation represents a circle by rewriting it in standard form. x² + y² + x = 0 Find…

A: Please see the below picture for detailed solution.

Q: H

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Q: Book Problem 27 If ƒ(2) = 25, ƒ' is continuous, and f f'(x) dx = 13, then the value of f(9) is

A: Given, f(2)=25, ∫29f'(x)dx=12

Q: 5πT 4 Convert the angle from radians to degrees: 5πT 4 O

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Q: Find the set on which the curve is concave upward. Answer (in interval notation): 2 y = ₁² R² + ² +…

A: See the details solution in below

Q: Convert 1.2 in radians to degrees:

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Q: 1. The figure below shows the graph of f', the derivative of the function f, on the closed interval…

A: Given

Q: • fcot ¹ 2 Start with the highest power. Write 11 x dx as a sum or difference of integrals of odd…

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: dy If y = arctan(er), dx

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

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Q: A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: 3) Find the divergence and curl of f3xi+ 5x} j + 2y²k, at the point (1,2,3)

A: Solution is done in step 2

Q: Sketched below are the graphs of f(x)=x²-1 and g(x)=x+1., The graph of fintersects the x- axis at A…

A: Given data:- The given equation, f(x)=x2-1g(x)=x+1

Q: x-2 lim x-2 √2x2+1-3

A: Given,            limx→2x-22x2+1-3

Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given: 645  036  00-4

Q: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by y =…

A: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by…

Q: nts. The results of 120 parts are summarized as follows. Length Excellent Good 84 12 15 9 Surface…

A: We  are asked to find the probability that the length is not excellent.

Q: 20. What is the probability of an actually event? a. 0 O b. Insufficient data O C. 1 O d. Not…

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Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + yexy + (4xy + xexy +…

A: See this solution in below with details.

Q: 2. If x² - xy + y² = 3 find y' and y".

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Q: The radian measure of an angle of - 218 degrees is

A: For the given problem We can change degree into radian

Q: = Find the area of the region pictured below that is bounded by the functions f(x) = x² - 9x + 20…

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Q: The probability P (0.5<x<5) is 0.5 O a. false b. true O

A: This is a problem related to probability. Please follow the procedure given below.

Q: 3π Convert the angle from radians to degrees. 4 degrees

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Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: See this solution in details below

Q: 4. Find all functions that solve the differential equations. (a) x' = te-2t (b) x' = 1/(tlnt). (c)…

A: To find the functions that solve all the differential equations

Q: A, B, and C are mutually exclusive events and P(A) = P(B) = and P(C) ½, "(B'n c'). = find

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Q: For the following integral: f3ae-2 dx

A: NOTE: Refresh your page if you can't see any equations. . use the integration by parts method so…

Q: The means of 6, 6, 6, 6, 6, 6 is 6? a. O False O b. True

A: In this question we have to find mean.

Q: please find the area of a triangle,given the points A, B, and C Plot the points A= (0,2,6), B=…

A: The Solution is give below-

Q: 1. The graph of f '(x) is continuous and increasing with an x-intercept at x = 4. Which of the…

A: Let's solve.

Q: -2 0 1| 3 What is the 6 5 4 3 2 1 0 -1 -2 -6 lim f(x) for the following graph? X→-3 -5 -4 -3 -2 -1 0…

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Q: Find the domain of the function. (Enter your answer in interval notation.) h(x): = 4 x28x

A: domain of the function h(x)=1x2-8x4

Q: The figure above is the graph of the function m(t). Let n(t) = m(t) + 2, k(t) = m(t + 1.5),w(t) =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the point (-2.5,-1) is on…

Q: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: Given the integral: fcos-¹ 1 x dx

A: Given :    Integral : cos-1(x) dx

Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Solution is given below:

Q: Find median and mode of the messages received on 9 consecutive days 15, 11, 9, 5, 18, 4, 15, 13, 17.…

A: Please check the given options because the answer to the given question is not among the given…