Consider the region between f(x) = x -2 and the x-axis on [2,5]. For each line of rotation given in Exercises 33-38, use the shell method to construct definite integrals to find the vol- ume of the resulting solid.

Q: .) Find the volume of the solid whose base is the region bounded between the curve y=secx and the…

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Q: Find all values of z at which the graph of f(x) = 2³² +42² +7 has a point of inflection.

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Q: 7. Let E be the ball of radius 1 centered at the point (0, 0, -1). (a) Show that E is given in…

A: The solution is shown below-

Q: Solve the differential equation. sin x- = 5-y cos x dy dx y=0

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Q: Find (a) the curl and (b) the divergence of the vector field. F (x, y, z) = sin yz î + sin zx Ĵ +…

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Q: 3. If F(x, y) = 3x¹y³ – 2x²y³, find F(x, y)/y²

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 3 Integrate f(x, y) = y(x² + y²)³ over the domain x² + y² ≤ 25, with y ≥ 0. Added 55 Pak Young FGS…

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Q: Evaluate SSSW f(x,y,z) dV for the function f and region W specified: f(x,y,z)=24(x+y) W:…

A: triple integral

Q: Find the distance from the point (-4,-6,4) to the line a(t) = ( – 5, 1, − 3)t + (− 7, — 4, 7) FORCYY

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Q: Can you minimize the work because how to work the problem is cut out of the screen. So if you could…

A: Given :- S=a+b2+4a+b-22+16a+b-42

Q: 2) f(0) = f(2)=0 f'(x)>0 on (-∞,1) ƒ'(1) = 0 f'(x) <0 on (1,0) ƒ"(x) <0 on (-∞,∞)

A: f(0) =f(2)=0 f'(x)&gt;0 on(- infinty,1) f'(1)=0 f'(x)&lt;0 on (1 , infinty) f"(x)&lt;0 on(-infinty…

Q: You are standing above the point (2, 2) on the surface z = 15 - (3x² + 2y²). (a) In which direction…

A: Please see the below picture for detailed solution.

Q: 3. Identify the graph of f(x,y)=x²-x+3y² +12y-13, state where it attains its minimum value, and find…

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that…

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Q: Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that…

A: Given query is to find the rate of change of height.

Q: 2. The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is…

A: We have to find a trigonometric model that represents the Given data.

Q: Newton's Law of Cooling The temperature of a cup of coffee t min after it is poured is given by the…

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Q: (2). z=x² + y,k=-4,-1,0,1,4.

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Q: Translate the given matrix equation into a system of linear equations. (Enter your answers as a…

A: Given :- 2-12-43413-800xyz=9-10

Q: d dx Prove that (csc(x)) = -csc(x) cot(x). d dx (csc(x)) = || = = d dx sin²(x) 1 sin(x) 1 -csc(x)…

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Q: Find the points at which f(x)= sketch a graph off, and state which discontinuity is removable and…

A: To solve the following problem and graph the function

Q: 4. How much work is required to fill a spherical tank with a radius of 1m with water (1000 kg/m³)…

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Q: 2. You are under contract to design a storage building with a square base and a volume of 14,000…

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Q: Determine whether the Mean Value Theorem can be applied to the function f(x) = the closed interval…

A: given function is :-f(x)=2x3        and interval  0,16then we have to find value of c , when applied…

Q: Let be a quadrant II angle with sin(0) = = Find sin 0 2 √89 10

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Q: X y a= 1 884 2 1149 3 1618 4 5 2190 2962 6 3705 Use regression to find an exponential equation that…

A: Given Table : X Y 1 884 2 1149 3 1618 4 2190 5 2962 6 3705 .

Q: Find the parabola of the form y = ax² + b which best fits the points (-1,0), (2, 2), (4,4) by…

A: Given sum is S=(a+b)2+(4a+b-2)2+(16a+b-4)2

Q: the instruction says you should use miscellaneous substitution! please edit the answer

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Mr. Brust is running down his street. His position is given by the function p(t), where t is…

A: Mr. Brust is running down his street. His position is given by the function pt,  where t is measured…

Q: integrate using MISCELLANEOUS SUBSTITUTION H 3x+2 1+√√3x +2 1

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Q: Throughout this problem, consider R to be the region between the curves f(x) = 2x and g(x) = x³ in…

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Q: Differentiate the function f. f(x)=-3x - 5 F'(x) = Graph y = f(x) and y = f'(x) on the same set of…

A: Given : differentiate

Q: The population of a town is growing according to the differential equation dy/dt =ky The growth…

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Q: Consider the region between f(x) = x - 2 and the x-axis on [2,5]. For each line of rotation given in…

A: 38. The given data is: fx=x-2,  2,5 Around the line x=2

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the…

A: The given modeled is: Vt=14550 e-0.16t On January 1, 2019, the value of the equipment was $14,550.

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s as a…

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Q: Evaluate the limit lim 11e-3 using L'Hôpital's rule. After applying L'Hôpital's rule, the limit…

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Q: (b) x2n - 2y5n 1/3 x5n + 4y² X

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Q: On which interval f(x) = -2³ + 3x² - 4 is concave upward? O a. (-1,1) O b. 1 Od. >1

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Q: Use the chain rule to find : w=" = 3x²+4+² +6²² where -6+ x = sinft)s, y = costat), z = e

A: w=3x2+4y2+6z2x=sin(-t)y=cos(-9t)z=e-6tdwdt=∂w∂xdxdt+∂w∂ydydt+∂w∂zdzdt

Q: Convert f(x) = 2x² + 5x-1 to vertex form O f(x) = 2(x + 5)² - 41 ○ f(x) = 2(x + ²)² - 33 8 O O f(x)…

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Q: 3. Let f(x,y)=x²y/(x² + y²). (a) Show that f(x,y) goes to zero if (x,y) goes to (0,0) along any…

A: Solution: (a) If (x,y) approaches (0,0) along the straight line y = mx, then we can substitute mx…

Q: I only need in text so i can copy, What function is the inverse of the exponential function…

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Q: Use the given graph of f(x) to answer the following questions. f(x) - 4 41 3 2- 1 -2- m a. From the…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: The slope of the tangent line to the curve In (xy) = y² — 1 at the point (1, 1) is m =

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Q: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the…

A: Given: The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing…

Q: show that: 3 [ f(x) +1] = gf(x)=x²-1, x +4+3 f(x) = f(x) - X-1

A: Given that : f(x) = x2 - 1 and we show that: 3[f(x) +1] = x + 4 + 4f(x) - f(x)/(x-1).       Here i…

Q: Please help (41-45)

A: Here we have to find the derivative.

Q: Show that the following vector fields F are conservatives and find ALL f such that F = Vf. (a) (b)…

A: As per guidelines, we can solve only first question if multiple questions are posted, please repost…