Use the shell method to find the volume of the solid generated by revolving the region bounded by y = 3x, y = -5, and x= 3 about the y-axis. 2

Q: 1. Find the derivatives of each of the following functions. (a) f(x) = cos rInr Of(z) = In(cos ) %3D...

A: Given: (a) f(x)=cosxlnx

Q: Performance Task *Solving Optimization Problem Directions. Read each of the problem carefully and th...

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Q: Find the derivative of the function. y = x?/25 - x2

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Q: 1 ye 15 X +3 (2)

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Q: Find the inverse function of f(x) = V36 – x²,0 sx 6. %3D f-'x) = V36 + x², 0 < x < 6 O f-x) = 36 + x...

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Q: Match the equivalent expressions. O 1- sin?(0) a. cscʻ(0) O sec?(0) – 1 b. tan (0) - O 1- cos (0) c....

A: The objective is to match the equivalent expressions.

Q: Consider the following function. 5 f(x) = (a) Find the inverse function of f. f-1(x) =

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Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

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Q: Convert the Cartesian coordinate (6, 1) to polar coordinates, 0 0. No decimal entries and answer ma...

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Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

A: Given function= 9-x The point at which the function takes the highest value is called its absolute m...

Q: Given: (-8, 6) cose = -3/5 3/5 -4/5 4/5

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Q: Written Work Directions: Please write your solution on the space provided and boxed your final answe...

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

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Q: Find a function y(x) such that 8yy' = x and y(8) = 5. y = ||

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Q: Evaluate the following limit using L'Hopital's Rule if indeterminate. e* – 1 lim x-0 sin(x)

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Q: 1 If the given values in a right triangle are cos A = * and a = 2, find the hypotenuse c 3/2 2/2 D. ...

A: For the solution follow the next step.

Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double i...

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Q: find the f(x+h) - f(x) / h for: f(x) = x² - 5x - 1

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Q: Solve the initial value problem: y' = – 0.05y + 20 y(0) = 40 y(t) =

A: We have to solve the given initial value problem.

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test: ...

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Q: Differentiate the following function. f(x)=(x^4-4x)^2 f'(x)=

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Q: Find the 7th term of 2+ 2 Write the 5th term of (x + y)1º.

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Q: How far is the centroid of the area boundded by the curves y=e^x, y=e^-x, and x=1 measured from the ...

A: We have to find the distance of centre of mass from y Axis  So , find only x coordinate of centre of...

Q: Find the volume of the tetrahedron shown using the order dz dx dy. The tetrahedron is bounded by the...

A: Explained below

Q: C. Find the values of the constants c and k that make the function continuous at every number. [3x +...

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Q: cone is being emptied of fluid at the rate of 14 cubic centimeters per second. The height of the fun...

A: small funnel in the shape of a cone is being emptied of fluid at the rate of 14 cubic centimeters pe...

Q: Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atm...

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Q: Find the linearization L(x) of the function at a. 3 f(x) = Vx, a = 64 %3D L(x) =

A: We can find the linearization as below.

Q: Assume f and g are differentiable functions with h(x) = f(g(x)). Suppose the equation of the line ta...

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Q: A sales team estimates that the number of hew phones it will sell is a function of the orice that it...

A: Follow the procedure given below.

Q: Use the fact that the resistance of a wire carrying an electrical current is directly proportional t...

A: The length of the copper wire, l = 10 ft The resistance of the copper wire, R = 0.2 ohm The constant...

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: If f(x) has an absolute maximum at x=c if f(x)≤f(c) for every x in the domain . If f(x) has an absol...

Q: the maximum height, in feet, that the object will reach

A: Follow the procedure given below.

Q: Performance Task *Solving Optimization Problem Directions. Read each of the problem carefully and th...

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Q: VIII. Explique las transformaciones y realice un boceto (un trazado aproximado): 1. f(x) = x? +3 2. ...

A: 1. fx=x2+32. gx=x3-43. kx=x+22 Note:       Multiple subparts are given, we are answer with only thre...

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x°, y = 1...

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Q: Solve the triangle for which ZA = 30\degree, ZB 45\degree, and a = 20. Round to the nearest whole %3...

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Q: Öz Use implicit differentiation to find and 3yz? – x In(yz) = z. dx dy

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Q: S sec? (4t) (3 – tan(4t))³dt A (3 – tan (4t))* + C 4 1 (3 – tan (4t))* + C 16 1 (3 – tan (4t))ª + C ...

A: ∫sec2(4t) (3- tan(4t))3 dt Substitute u = 3- tan(4t) dudt= - 4sec2(4t) dt = -14 sec2(4t)du= -14∫u3du

Q: 12 A boat’s velocity, measured in meters per second, is described by vector b⇀=⟨−3,−4⟩. In two or m...

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Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A...

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Q: The wind-chill index is modeled by the function W = 13.12 + 0.62157 - 11.37v0.16 + 0,3965TV0.16 wher...

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Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the ...

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Q: 13.

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Q: Does the following series converge or diverge? - 3n? Σ 2 n=1 O The series diverges. O The series con...

A: This question can be solved by applying the concept of ratio test.

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

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Q: 11 Show that dy dx = 1-In2. 8(xy +1) 0 0

A: Follow next step

Q: *Implicit Differentiation Directions. Use implicit differentiation to find dy dx 1. x2-y2 8 %3D

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