Find the derivative  a. y= ln(cos^2x) b. y= e^cosx+e^-x

Q: What is the center of the sphere given by the equation x² − 6x + y² – 2y + z² + 8z + 17 = 0? -…

A:

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A: given function

Q: 3. Given that w = xyz + y² + x + 1, x = et, y = 82, 2=t+1. ) Find Ow/as. (b) (c) Find 0w/Ot. Find…

A: Given that .(a) To find .(b) To find .(c) To find .Note: Since the student has posted many sub-parts…

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A: To determine whether the alternating geometric series diverges or converges.

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A: given function

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A: I=∫x20ln⁡xdx

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A: Consider the data 0,0,0,2,2,3,3,4,4,5,5,6,7,7,8,8,8,8,10,10,11,11,12,12

Q: Express 0.132 as a geometric series

A: The given number .The aim is to write the number as a geometric series.

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Q: Evaluate the following limit. lim x→0 3 (²2 x 3 sin(2))

A: L=limx→0(3x−3sin⁡(x))

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A: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

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A: given differential equation

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A: Substitute

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Q: Compute the average rate of change of the function on the given interval. g(x) = x³ x on [4, 5] -

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Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

Q: Use the Gauss-Seidel iterative method to solve the following system of equations. Remember to show…

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Q: Air Traffic Control An airplane flying at an altitude of 6 miles passes directly over a radar…

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

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Q: Consider the integral approximation T20 of fo 2e-4 dx. Does T20 overestimate or underestimate the…

A: Here And Now,         ..........(1)

Q: (c) lim x-3 1 x +3 + 3 x² + 3x, 3

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Q: Evaluate the following limit. lim 8+←8 15 ln x X = Note: Input DNE, infinity, and -infinity for does…

A: Given,

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Q: Evaluate the indefinite integral. Answer = +C St tan¹ (2x) dx

A: Let,  A=.

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Q: Find the domain of the function. h(u, v) = √3-u² - v² Ou+v≤3 Ou² + v² 0 Ou+v<3

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A: Here,

Q: Give the partial fraction decomposition for the following function. 2 x²-2x-8 2 2 x-2x-8 ||

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Q: 1) fx²e-³x dx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: c) On the cartesian plane below, put a point where the following coordinates are. a) A (-5, 4) m i…

A: Consider the figure

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Q: Let an = 1 for n = 1, 2, 3, ... . Write out the the first three terms of the following sequences. 3n…

A: Given  To find (a)  then find (b)  then find (c)  then find (d)  then find

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Q: 11. Identify the horizontal asymptote of * 3 f(x) = +2 x-2 Oy=1 Oy=2 y=3 Oy=-2 Identify the domain…

A: Horizontal asymptote:If  then the line y=L is the horizontal asymptote of the function f(x)