A region bounded by f(x) = x, y = 1, and x = 4 is shown below. Find the volume of the solid formed by revolving the region about the x-axis.

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A: Given fx=∫04x2-9x+3dx

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A: This question is related to Newton's Law of cooling, we will solve it using given information.

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Q: Consider the following initial-value problem. y" 5y' = 8e4t4e-t, y(0) = 1, y'(0) = -1 Find L{f(t)},…

A: We need to fill in the blanks

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

Q: . After one​ year,    ________​% of the information is remembered. ​(Round to one decimal place…

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Q: 20. Find the first three non-zero terms of the Taylor series for f(x): = CSC X ㅠ centered at a =…

A: answer is in next step. please give a like!!

Q: explain

A: Displacement is the shortest distance between two point.

Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. cos(t) f(t) = Step 1…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.)…

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A: We can answer the question as below.

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A: We have to find the partial fraction decomposition.

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A: Let's solve initial value problem by using laplace transform.

Q: Find the exact value of the expression using the provided information. Find sin(s+t) given that cos…

A: Please see the below picture for detailed solution.

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A: Topic:- application of integration and trigonometry ratios

Q: what theorem was used? i cant read it.

A: Let's solve.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Follow the procedure given below.

Q: f(x) = 3x, a = 7

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Q: f(x) = x4 – 8x2

A: Topic:- calculus

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Q: Tutorial Exercise Find the slope of the tangent line to the graph of the function at the given…

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A: p(t)=115+25 sin(160πt) is the pressure in mmHg, at time t measured in minutes.

Q: 7 The volume of an ellipsoid y + + fixed, show that the ellipsoid of maximum c² 4πabc 3 volume is a…

A: Ellipsoid : x2a2+y2b2+z2c2=1Volume of ellipse : 4πabc3a+b+c is fixed

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Q: Evaluate the integral: B A None of the given choices O E (3e) 2+1n3 (3e) 3+ sinh2x (3e) 2+ 21n3 3+…

A: Solution is given below:

Q: The altitude of a triangle is increasing at a rate of 1.51.5 centimeters/minute while the area of…

A: The altitude of a triangle is increasing at a rate of 1.5 cm/min Area of the triangle is increasing…

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral = - for…

A: f(t)= t, 0<=t<1          1, t>=1.

Q: dy dx What is y(2)? Suppose = 6x² + 2x − 3 and y(0) = 4. - oy(2) = 14 oy(2) = 16 oy(2) = 18 oy(2) =…

A: The answer is given below:

Q: Find the critical numbers of the function. f(x) = 7x² - 4x Step 1 To find the critical numbers of f,…

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

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: The following is the graph of a function f(x). -5 -4 -3 -2 7 Clear All Draw: 5+ 4 3 2 1 -2 -3 -4 -5+…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the given line is passing…

Q: M                   dy/dx - y = e^x y^2

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Q: Which of the following formulas would be used to calculate the trapezoid approximation of 0.2 3 0 T₁…

A: Here we using trapezoidal rule.

Q: Find the area of the shaded region. NOTE: Enter the exact answer. A = 4 y = x² + 4 y = x x

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