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Q: The solution of the following linear differential equation xy' – 3y = - is y(x) = 2x – 1+ ce¬2x y(x)...

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

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Q: Example 19: (a) Ifx +y = 25, find dy/dx.

A: We have to calculate dy/dx

Q: Select ALL possible answers. * Which of the following is/are true about the function whose graph is ...

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Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for c...

A: The correct answer will be option (B). The given improper integral will converge by Direct Compariso...

Q: A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate propo...

A: The drug is administered at a constant rate of rand is excreted (throwing off) at rate proportional ...

Q: 24. Maximizing Area A wire 10 cm long is cut into two pieces, one of length x and the other of lengt...

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Q: An inverted conical water tank with a height of 14 ft and a radius of 7 ft is drained through a hole...

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Q: QA Find 1 dx x2Vx? - a? Hint: Use x = a cosh(u).

A: Integral

Q: At an exhibition, the probability of visitors on the first day is 3/5. The ticket price for a visito...

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Q: (3х — 1, if x 1

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Q: sinrdr In(cosr – 3) | cosr -3 A cosr – 3 B In (cosr – 3) In (cosr – 3) cosr – 3 D sinr E) None

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Q: Solve using fragmentation of fractions 1 dX x(х — 1)?

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Q: An inverted conical water tank with a height of 6 ft and a radius of 3 ft is drained through a hole ...

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Q: Use Simpson's Rule with n = 4 steps to estimate the integral. dx O 18 O 15 36

A: Given:    f(x) = x  Limit: 0 to 6    n = 4

Q: 24 48 72 96 +0 0 24 48 72 96 50 50% 150 C) 150- D) 24 48 72 96 ++ 0 24 48 72 96 50- -50- 00: 00- 150...

A: We will find the graph 

Q: ) Pro Perties: 1-J-n(X) =-l) Ju(X)→ nisinteger ex Ji(x) JーてしX) =-)Jlx) 5てしx) y lx)=C!Jz(x) +cz Jz (V...

A: As per the given properties and example we have to find equation y(x).

Q: Which of the following is/are the point/s of discontinuity of the function whose graph is shown belo...

A: The given question can be solved as shown instep2.

Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) 3D Зх — 4 (...

A: solution is given below.....

Q: The area, in square inches, of a certain right triangle is given by the equation A b(2b), where b is...

A: Given,          The area, in squares inches, of a certain right triangle is given by the equation A=...

Q: Find for the following functions: dx 2x2 + 3x y) + (x-y)-x +y

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please uploa...

Q: An object is dropped from a height of 124 feet. t1 = 0, t2 = 2  Find the equation of the secant lin...

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Q: a eしの-cosょ)=(xtSinle) dx X+8inle 4. Consider a cone-shaped tank that is 4 feet tall and whose rim is...

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Q: Where did the value of _1 come from, explain the solution step by step and in a clear line, please x...

A: Formula: If bases are same then their Division: powers should be  substratcted am/an = am-n

Q: Find the difference quotient and simplify your answer. f(x) – f(64) X – 64 f(x) = x2/3 + 1, X # 64

A: We know, (a²-b²)=(a-b)(a+b) (a³-b³)= (a-b)(a²+ab+b²)

Q: Question3: Solve the following LPP graphically and state which type solution of solution problem wil...

A: a) The graphical plot of the constraints is shown below : We observe that there is no overlap of th...

Q: M, - N If Q, where Q is a function of x only, then the differential %3D equation M+ Ny = 0 has an in...

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Q: dy Given y = u? - 1 and x = u2 + 1, find dx

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Q: Test the series below for convergence using the Ratio Test. 3" п! The limit of the ratio test simpli...

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Q: Using differentials, determine the approximate increase in the surface area of a sphere if the radiu...

A: Topic:- application of derivatives

Q: Suppose f'(x) is continuous over an interval a < x < b, and a <c< d < b. If f'(c) = - 8, then (check...

A: topic- functions and derivatives

Q: tank contains 200 liters of brine in which there are 3 kg of salt per liter. It is desired to dilute...

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Q: Use sigma notation to write the Maclaurin's series for the function f(x) : = x cOsx. Show complete s...

A: Question: Use Signa notation to write the Maclaurin series for the function f(x)=xcosx. Show complet...

Q: Radoc-Lactuan, I. et. al Analytic Geometry C. Show that the following sets of points belong to the s...

A: topic - coordinate geometry

Q: Ex. 124 A body cools from 75° to 55°C in 10 minutes in a surrounding of 31°C. At what temperature wi...

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Q: Q2: find the integral of trigonometric function cos sin* dx

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Q: Express the set of numbers, x, satisfying |5x – 1| – 2 < 12 as an interval. Write your answer using ...

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Q: Jse the methods of chapter twelve to determine if the points (1, 3, 3), (3, -1, 5), (5, 2, 0), and (...

A: Coplanar vectors

Q: 2 -a - 12a? + 70x – 60. Find all local extreme values of f(x) at The FIRST local extreme value, movi...

A: Given :- f(x) =(2x3/3) -12x2+70x-60 find:- All local extreme values of f(x)   

Q: Time spent using Internet (hours) times by the students. A line of best fit is also amount of time, ...

A: The line of best fit indicates the approximate value of average time spent using the Internet on Sat...

Q: Choose 1. Determine the radius of convergence and interval of convergence. (x- 2)" ' (n+ 1)3" 00 n=1

A: Radius of convergence = 3

Q: Determine the point/s of discontinuity, if there is any, and the type of discontinuity at that point...

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Q: f(x) = (r - 4)/ +3(x – 4)/*. Label any intercepts, relative extrema, points of inflection, holes, an...

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Q: Find a value for the constant k, if possible, that will make the function continuous. Skx², (2x + k,...

A: Answer: The solution is as given below:

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pe...

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Q: Solve the following differential equations of Dyy = 2 y-x; 2- yy+ %3D

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Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

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Q: Nx - M, If R, where R is a function depending only on the quantity z = xy, then the differential equ...

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Q: The above is the graph of the derivative f '(x). How many critical points does the original function...

A: How many critical points of f(x)