Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on the right by the graph of g(y)=8√y and on the left by the y-axis for 0≤y≤4, about the x-axis. Round your answer to the nearest hundredth position.

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A: Given that a sequence which is defined recursively by the formula given below:-an=an-1+an-2-(i)…

Q: Let x = 6.99999.... (a) Is x 7 x = 7 O x < 7 and x = 7 O It cannot be determined. (b) Sum a…

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Q: According to a study, 36% of experienced file-sharers with broadband access had decreased their…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -1 and x = -5…

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Q: dP dt 3) Separate the differential equation, then integrate both sides. Suppose and P(1) = 4. Answer…

A: NOTE: Refresh your page if you can't see any equations. . take integration on both sides

Q: 1 x - x² 3 2√√√x -8 dx

A: The given integral, ∫-8-1x-x22x3 dx

Q: Problem #3: Consider the following statements. (1) Σ n=0 (-1)" 2n+1 X² (2n + 1)! = X- ∞ (iii) The…

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Q: A line drawn from the origin and forming the angle t with the x-axis intersects the unit circle at…

A: As we know that, cosθ=basehypotenusesinθ=perepndicularhypotenusetanθ=perepndicularbase

Q: Find the curl of the vector field F. F(x, y, z) = arcsin yi + V1 - x2j + y2k

A: To find the curl of the given vector field F

Q: Find the absolute extrema for the given function on the interval [1.2, 3.7]. Write your answer in…

A: The given function is fx=5x4ln x on the interval [1.2, 3.7] we have to find its absolute extrema.

Q: Use the Laplace transform to solve the following initial value problem: y' + 7y - 18y=0 y(0) = 1,…

A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for…

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: i) f si sin 3x cos 3x dx ii) [ cos³x dx

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Q: ds Find the particular solution of dt H|2 1 = cos-t

A: The given equation is;  ds/dt = cos (t/2).

Q: Find all fourth roots of 1 in the complex numbers.

A: Let x be the fourth root of unity x=14 x4=1 x4-1=0 Equation 1

Q: solve each of the following nonhomogeneous differential equations. 6. (D²-1)y=2(1-e-²x)-1/2

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Q: 2 3. Prove: sinx + sinxcot x = cscx.

A: I have stated the used formulas in the solution

Q: What is the magnitude of an earthquake 600 times as intense as a standard earthquak

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Q: 24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³…

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Q: 3 parts  A population of rabbits grows exponentially at a rate of 3.4 percent per year. The…

A: Topic- Exponential Population

Q: The graph of the derivative f' of a function f is shown. y = f'(x) y. 0 2 4 6 X

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Q: Identify the rational function whose graph is given below. Note the x-intercept of the graph is a y…

A: topic:- function

Q: Let f(x) Then f'(x) = 3 sin x 6 sin x + 2 cos x m = The equation of the tangent line to y = = f(x)…

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Q: Problem 7. Answer: Find #L if y = 7x45

A: To find dy/dx at point x=1

Q: 3. Find a power series representation d 1 Hint: use - [In(x + 1)] x+1 dx for f(x) = ln(1 + x) and…

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Q: Explain why a circle of radius 4 cm and a circle of radius 13 m have the same number of radians?

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Q: solve by hand( numerically) f(x)= cos(x)-x exp (x) using the bisection method and Newton- Raphson…

A: Let f(x)=cos(x)-x exp(x). Here f(0)=1&gt;0 and f(1)=-2.178&lt;0 Now, Root lies between 0 and 1.…

Q: Consider the Gompertz equation, a modification for logistic growth, which is often used for modeling…

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Q: Find the derivative of the function by the limit process. g(x) = -398 g'(x)=

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Q: CIVIT e graph of the following degree 5 polynomial function, find all of the zeros and their m 6 5 4…

A: Topic:- polynomial functions

Q: 8. Prove: 2 1-tan x 1+tan²x cox2x.

A: (1-tan2x )/(1 +tan2x ) = cos2x here we have to compare the left hand side and right hand side apply…

Q: (2) √ 2²² dx S 9-x² (2) > fx(x + 1)¹ dx

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: 12. Find the radius and interval of convergence of the power series ∞ n=1 (x-4)" √√3n

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Q: The velocity of an airplane flying into a headwind is given by v(t) = 30 (25-t²) mi/hr for Osts3 hr.…

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Q: Use the graph of y = f(x) in the figure to fill in the missing values. help (numbers) (a) f(0) = (b)…

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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: 2 i) [x² ( x + ²7 - 2²/1) dx x i) Ï 0 x³ - 8 x-2 dx ii) ii) f (x³ + 3x² + 1) e-2x dx xe xe1+x dx

A: Given:   i) ∫x3x+2x-1x2dx Expand   =∫x4+2x2-xdx Apply linearity     =∫x4dx+∫2x2dx-∫xdx

Q: dy Find the complete solution of 2 + 4y = 1 dx

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Q: 4. The height h in centimeters of Shuntaro's pogo stick from the ground as he jumps on it since s…

A: We have to find the height at given times.

Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

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Q: first-order

A: Given : y' = x9y + sin(x) The standard form of first order differential equation is  y' + p(x)*y =…

Q: (1) ਤ + x2 x2 + 3 dx (2) In 2 -e ex 1+e dx x +7 (3) --x-6 dx

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Q: Prob. 4 (a) (6 pciats) If h(x) = (1 + f(x))³, where f(1) = −2 and ƒ'(1) = 3, find h'(1).

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Q: Evaluate: L{cos8t} = Blank 1 Blank 1 Add your answer

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Q: A breeding group of foxes is introduced into a protected area and exhibits logistic population…

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Q: 2).  Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation for C =…

A: Given problem:- Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic…

Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: ST sinx + 2 cos x dx

A: we have to evaluate the integral ∫0π sinx  + 2cosx dx

Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: Evaluate the indefinite integral: [ 10 10e¹x cos(2x) dx

A: We will use simple Integration rules to solve this question.