Find the rate of change of the surface area of a hemisphere with respect to its radius. a. When the radius is 19 b. When the radius changes from 26 to 29

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Q: The given rectangle has a perimeter of 120 cm. Find the values of x and y that result in a maximum…

A: Consider the rectangle

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A: NOTE: Refresh your page if you can't see any equations. . Newton's cooing law is given by here we…

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A: Topic:- geometry

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A: Note that, an asymptote is a straight line that constantly approaches a given curve but does not…

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A: Using series expansion about x =inf

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A: Since you have posted multiple question which is not interlinked i can do first question as per our…

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Q: Does lim—>1 exist? Does lim—3 exist? Are they continuous? Discontinuous?

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: 6. Evaluate the following limits: 1/3 (x+8) -2 a. lim X x-0 b. lim x→-3 2 x²-9 2x² +7x+3

A: Given :limx→0x+813-2xlimx→-3x2-92x2+7x+3

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A: As we know that; The average rate of change between the interval a≤x≤b is given by; Avereage rate of…

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Q: Farmer Brown had ducks and cows. One day she noticed that the animals had a total of 12 heads and 42…

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Q: b) Evaluate In x dx. X Question 3 For the differential equation y'+-- sin 2x, y (a) Show that the…

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Q: Find the centroid of area of region n bounded by 2 y² = x, y² x - 2 8 Answer: (1/11/12) 号 ) 5

A: Concept: Centroid: The coordinates of the centroid are represented as (x¯,y¯) The coordinates of the…

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A: let's first check how basic graph looks like:  y= (1/x) the given graph has curves on opposite…

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A: Given the equation y=x4-4x3+2, to determine all critical points and to classify them using the…

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A: Above question is solved.

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Q: Question 1 Approximate 3.92√3.9 without using a calculator. Use the methods learned in class. Do not…

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Q: 2

A: We will solve the problem

Q: 7. Given a = (0, 1, 3), b = (4, 5, 6), then a · b = a. 1 b. 24 8. Given a = (0, 1, 3), b = (4, 5,…

A: Let's solve. Two vector a and B are given.

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A: We have to show f has removable discontinuity at x=3 and find the value of c

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Q: 1. what is the basic concept of a derivative? How is this derivat calculated? What techniques/ have…

A: Topic:- calculus

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Q: Let y = 3x² + 8x + 3. Find the differential dy when x = Find the differential dy when x = 2 and da 2…

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Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: They 2 r 1 10 mber of Red Cars hat was the average number of red cars that they saw each hour? Round…

A: Topic:- Algebra

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Q: 2) for evdxdy

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A: We can find the arc length as below.

Q: Find the given determinant by any method. 0000-91 000 20 00-70 0 040 0 0 50000

A: Given matrix, A=0000-90002000-7000400050000

Q: The point x = 0 is a regular singular point of the differential equation x²y" − x(x+3)y' + (x+3)y=0.…

A: The given differential equation is x2y''-x(x+3)y'+(x+3)y=0…

Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =

A: Explanation of the answer is as follows