1) Find the area of the region that lies inside the curve r =1- sin 0 and outside the curve r= 1. Show All Your Work!

Q: (с) 4у" + у %3D 4 sin(3x/2), for 0 <x <л, У (0) %3 0, у(л) — 0

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Q: (7) An Interesting Fact is that there are different sizes of infinity. For example, if A is an…

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A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

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A: There are 3.5×112 miligrams of caffeine cups of coffee.

Q: -8. -[-2]. (a) Give an example of three vectors that are linear combinations of v₁ and v2. Problem…

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Q: A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling…

A: Given:

Q: Please show all work and answer in correct format

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Q: 4. The velocity of a speed boat in ft/sec at selected times is given in the table. t 10 15 20 25 30…

A: (a) Acceleration = Change in velocitychange in time

Q: 3 A certain recipe calls for 1– cups of sugar. If the recipe is to be doubled, how much sugar should…

A: We have to solve the problem

Q: Calculate the arc length of r = 6 – 6 sin0 from 0 to 2n

A: See the detailed solution below.

Q: Find a function f and a number a such that, for all x > 0, S. f(t) -dt = 2/x. t2 6+ a

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Q: 2.) Find the exact area of the surface obtained by rotating the curve about the x-axis y= cos(÷x) 0…

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Q: 2) Use Lagrange multipliers to find all extreme values of f (x, y,z)= 2x+2y+z subject to x + y² +z²…

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Q: Differentiate the function. y = (4x-11)2

A: Chain Rule of differentiation : dydx=dydu·dudx

Q: A car travels 130 miles on 5 gallons of gas. Give the ratio of miles to gallons as a rate in miles…

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Q: Classify the following triangle as right or not. Explain why it is or is not. 20 29 21

A: Given figure:-

Q: 2.) Test the series for convergence or divergence. a0 sin(n+)* Hint: Use the Alternating series…

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Q: et f (1) = e², f' (1) = 5e², g(1) = –3, and g' (1) = 1. Find h' (1), where %3D h (x) = 9 (x) arctan…

A: We have to solve the given problem.

Q: Evaluate the following integrals: a) b) cos(x) sin²(x) + sin(x) S = √tln(t) dt. dx;

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Q: Find the standard deviation of the following set of data: (1,3,5,7,9}

A: To calculate the standard deviation of these numbers: 1. Find the mean of the numbers 2. Then for…

Q: 3. Determine whether the following integrals are convergent or divergent, and evaluate those that…

A: We know that , Improper integral of the function fx over interval -∞ , ∞ are of the forms ,  ∫a∞…

Q: 1. Apply the slicing method to find the volume of a pyramid with height hand base an equilateral…

A: In this question, the volume using integration is applied. Integration Integration is a method of…