Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y= square root of x

Q: Factor the following expression completely: bw – 14w³ – 12w? %3D

A: Given Data: 6w4-14w3-12w2

Q: uity?

A: We will find the functional value at x=2.

Q: 3cos3x-1 uate f dx, the integrand can be tran 1-sin2x Bcos3x + csc²x)dx

A: We have to choose the correct answer from the given options according to the given information

Q: Function Type Differential Operator ... AxN + BxN-1 + .+C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx) ...

A: We will find the differential operator by the given table. We will use second row to find the requir...

Q: The limit represents a derivative f' (a). Determine f (x) and a. 6h lim h 1 h-0 (Express numbers in ...

A: find fx and alimh→06h-1h

Q: В

A:

Q: 4. (a) Prove the reduction formula: tan?n-1 (2r) _ [ tann-2 (2r) dr 4n- 2 tan" (2.r) dr (b) The redu...

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Q: 3. Find the indicated values. a) f(x) = x³, g(x) = 6. (f°g)(x)? b) f(x) = -2x + 1, g(x) = x², h(x) x...

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Q: B In Problems 17-34, use implicit differentiation to find y' and evaluate y' at the indicated point....

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Q: Define the binary operator V by: a Vb = 4 Simplify each of the following. Do the order of operations...

A: Given

Q: P(#) Question 4: When working with rational functions of the form f (x) = and the function does inde...

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Q: Find all the second-order partial derivatives of the function f(x,y) = 4x2 + 9y + 7x2y?.

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Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

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Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an ang...

A: As per given question We have to determine height of clo

Q: Let 2(r, y) = 3e" sin(y) where a = t° & y = 3nt. %3D %3D dz by first finding dt dy and using the cha...

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Q: graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -4? 4+ 3+ た...

A: A function is continuous if left hand side limit and right hand side limit of function at a point ar...

Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

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Q: Solve the Differential Equations (FODE). xdy – ydx = (x² – 3axy + 2a?y²)(xdx + ydy)

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 5. (Type your answer in ...

A: Given that: f(x)=(lnx)4

Q: Evaluate the integral. s'a In óx dx 219.01 190.21 187.01 O -61.21

A:

Q: X^2+Y^2)+2XYdx/dy+2xy, Find differential exact equations

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Q: dg at s = 4. ds Use the Chain Rule to evaluate the partial derivative g(x, y) = x² – y. x = s? + 4, ...

A:

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = cot ...

A: Use the definition of asymptote 

Q: Complete the table to 5 decimal places and use the result to estimate the given limit to 4 decimal p...

A: topic - limits

Q: f(x,y) = 100x062y0 38. Find the marginal productivity of labor and capital.

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Q: x²-9 Find the limit (if it exists) lim x-3 27-x3 A. B. 9 C. 0 D. DNE

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Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = x2 - 6xy ...

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Q: Show that f(x,y) = 1-x* - y* has a relative maximum, even though D in the theorem is 0. The critical...

A: Given : f(x, y) = 1 - x⁴ - y⁴

Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2x Calcula...

A:

Q: Given the first-order differential equation as below: (x² +3y² +5)dx +(6xy + 6y + 3)dy = 0 (i) Ident...

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Q: An isosceles triangle has an area of 22 cm2, and the angle between the two equal sides is 5?/6. Find...

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Q: Test the series below for convergence using the ratio test. n2 Σ 1.5" n=1 The limit of the ratio tes...

A: f(n)=n2/1.5n

Q: Solve the equation on the interval 0s0<2x. cos (30) = 1 What are the solutions to cos (30) = 1 in th...

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Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x...

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Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (...

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose d...

Q: V(x) = In(sin(x) – cot(x))

A: Use the formula of derivative of composition of functions

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, w...

A: We can find the centroid as below using the required formula.

Q: 3x5+x*+2x3+3x²+18 f(x)= х2—24 Solve for the lim f (x) Uusing the following methods: X→5 a. Table of ...

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Q: Q1 (а) Calculate the first-order differential equation below using transformation y = xv. dy х +3у%3...

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Q: f(x)=x2+9   g(x)=4x (f+g) (f-g) (fg) (f/g)

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Q: Perform the indicated operation. If possible, reduce the answer to its lowest terms. 2 15 4 2 15 (Si...

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Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Given a function f (x) whose graph is shown below. 3 2 h -3 2 -11 2 3 -2- Determine lim f (x).

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Q: Determine if the given function is continuous on each of the given intervals. A. f(x)=3x³+4x²-x+6 1....

A: This question is related to Functions, we will solve it using given information. 

Q: Find the number(s) b such that the average value of f(x) = 6x² – 26x + 32 on the interval [0, b] is ...

A: We have to find the value of b such that the average values of f(x)=6x2-26x+32 on the interval [0, b...

Q: Function Type Differential Operator ... AxN + BxN-1 + . + C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx...

A:

Q: g(z) = 3z' – sin(z +6)

A:

Q: Which of the following is not in the domain of cot(x)? Select all correct answers. Select all that a...

A: We can answer the question as below.

Q: An ellipsoid S has the parametric equation S (0, Ø) = (cos0 sing, 2sino sinø, 4cos ø) where 0 and øa...

A: Given equation of ellipsoid S(θ,ϕ)=cosθ sinϕ , 2 sinθ sinϕ , 4 cosϕ

Q: 2 2 -x+2x- 2, x>0

A: