Consider the function f(x) = 6x? – 10x + 8, 0 < x < 9. The absolute maximum of f(x) (on the given interval) is at z = and the absolute minimum of f(x) (on the given interval) is at z =

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A: We need to solve D.E. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

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Q: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

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Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In In 5 In 3 In…

A: We will use logarithmic properties.

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Q: 2.7 Given the function f(x) = r²e, Determine the open interval(s) where the functio

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Q: 6+ 4 3- 2. -3 -2 -1 2 18 For the above rational function f( x) = 2.5x2 + 3.5 identify the interval…

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A: On solving this we will get

Q: Suppose that F(x) = f(t) dt, where V5 + uo du. f(t) = Find F" (2). F" (2) =

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Q: 2. Calculate the following limits. Justify your answer. L'Hopital's rule Rule ) (without using 2x +1…

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: continously compounded formula:A =P er tA=final amountP=Principal amountr=ratet=time (in…

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Q: | 121 – 51" +9 dt = +C.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: The given power series,∑n=1∞-2xn5n!

Q: Given the following cost and revenue functions: C(x) = 10x+ 3 %3D R(x) = 40x– 0.6x? A. Find the…

A: Solve the following

Q: a) Determine the position function, 8(t), of an object if the acceleration is a(t) = 5t (3) = 0, and…

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Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

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Q: Since u = x, then converting back to an expression in x we get

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Q: What is the minimum value of p (p>1) for which Q. 19 COS X dx <-? 9. 10 1+x

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Q: 2 tan theta / sin 2 theta = r in rectangular coordinates

A: Solving

Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

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Q: Identify the value of the function f(x)=log10x at x = 315, Round to 3 decimal places. 3.498 2.498…

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Q: Find the derivative. Show your work 1. y=x^5 arcsin(x^3)

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Q: Find

A: We will find the derivatives.

Q: 6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

A: We shall find left hand limit first if it doesn't exist then limit not exist, if exist and finite…

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: A(8, 3,8), B(9, 8,33), C(9, 5,12), D(9, 7,24) a

A: answer is in next step

Q: V5 + ut du. f(t) =

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Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)

Q: At the beginning of an experiment, a scientist has 124 grams of radioactive goo. After 270 minutes,…

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Q: Consider h(x, y, z) = cos (xy) + eyz + ln (xz). Determine the directional derivative of h at the…

A: Solve the following

Q: Q1\ Differentiate the following 1)2xsin-13x x+1 2)y = In Vx-2 1 3)y = sin-1 2x

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Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log,…

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Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Solving

Q: Question * Suppose X, Y are two discrete random variables with probability function given by: Y \ X…

A: Given

Q: Suppose log ,2 = a and log ,3= c. Use the properties of logarithms to find the following. log b…

A: Now,                logb1728b=logb1728+logbb=3logb12+logbbUse logbb=1.=3logb12+1

Q: Зx2 — 5х — 2 lim x→2 In(x – 1) - is | (А) 7 (В) 8 (С) е2 (D) 0 O A O B ос O D

A: The detailed solution is given below Thank you

Q: x3 Evaluate J (3-2x) using substitution

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Q: Let g(x) = (t)dt, where f is the function whose graph %3D AY 21 1.5 1 0.5 0,5 1 -0.5 -1 a. At what…

A: Graph of function

Q: find the laplace transform L{cosh3tsin3t}

A: Solved below.

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Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution