f (х) — (х — 1) (х — 3) 12

Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is ...

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Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three...

A: Given:   Perimeter of rectangle = 200

Q: f(æ) = (62² – 5)*(5æ? – 3)" - f' (x) =

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Q: V12 2+3+ cos The value of sin cot cos V 4 + sin 4 12 is

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Q: t11 +1 s(t) = t11 – 1 s'(t) =

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Q: Let f(æ) = 9 sin(cos(x²)) || f' (x) =

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Q: x-2 6) Find the antiderivative: - (x+1)2+4

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Q: A producer of perishable product offers a wage incentive to drivers of its trucks. A standard delive...

A: We have to find the maximum time and maximum salary for the driver.

Q: Evaluate the following: 1) E =1 3kk 2) E =o (i+1)?

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Q: Your are driving away from Toledo. Your distance (in miles) away from Toledo x hours after 12:00 noo...

A: We will find the maximum distance north of your home that you reach during the trip as following.   ...

Q: Is the sequence divergent or convergent? Explain and give the solution of the answer.

A: This is a problem related to sequences. Based on the general formula we will identify the nature of ...

Q: A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 ...

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Q: 3 + 2* is 5* 28. lim 4 X -0 2 (A) 5 (B) 0 (C) (D) nonexistent -- 3/4

A: topic - limits

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 2 + 4y2, 1sy...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 5(- 1)*+12 k! ...

A: Find your answer below 

Q: 1. Find the truncuated error of the Maclaurin series sinx cosx given that is truncated into 3 terms....

A: This is a problem of series expansion. Maclaurin series is nothing but taylor series expansion at va...

Q: Find the radius of convergence and the interval of convergence. E(-1)* *(x+9)2k+1 k2 + 9 o+ 9 k=1 Ra...

A: radius of convergence and interval

Q: Find the volume of the solid obtained by rotating the region bounded by 2y about the line x = – x = ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: 12) Find the force on a submerged gate shaped as a parabola 12m high and 8m across its top if the wa...

A: Here we will use the concept of pressure applied on the parabolic surface. Based on the given formul...

Q: Let P(x)=-x²³+2x2-6x'-5x'-1 and D(x)=x+1 Determine the remainder when P(x) is divided by D(x)

A: The given polynomial is:Px=-x23+2x12-6x7-5x4-1Dx=x+1To find the remainder.

Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

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Q: Let the region R be the area enclosed by the function f(x) = x° + 2 and g(x) = 4x + 2. If the region...

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Q: For the function f(x) =x - 4, construct and simplify the difference quotient f(x+ h)-f(x) .... The d...

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Q: Find the critical numbers of the function f(x) = 2x3 - 15x2 + 36x - 24. O a. -2 and 3 O b. 2 and 3 O...

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Q: The equation of the ellipse that has a center at (4, 2), a focus at (7, 2), and a vertex at (9, 2), ...

A: We will find the equation of ellipse as shown below

Q: A university system has a total of 40 new computers to distribute to each of its three campuses. Aft...

A: Option a - Alabama paradox will occur and campus A will lose a computer

Q: 1. (a) Plot the first four terms of the sequence 3n2 — Зп + 2 2 n=1 (b) (i) Write in bracket notatio...

A: Please see the below picture for detailed solution. 

Q: Use any method to determine whether the series converge. 17 (a) 2 El Vk +1 This series diverges. cos...

A: We have to determine whether the series converges

Q: Correct. Use the ratio test for absolute convergence to determine whether the series converges or di...

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Q: find I= x* ē dx る -2X e

A: To evaluate: I=∫x32e-2xdx...(1)

Q: Suppose you deposit $7000 at 6% interest compounded continously. Find the average value of your acco...

A: Average value of account  during the first four years will be

Q: dz %3D dt

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Q: ,2 - x + 6 Integrate -dx. x3 + 3x The partial fraction decomposition is (write all terms as fraction...

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Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?, (...

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Q: Find the average value of the function f(x) = 3x2 on the interval 2 <x < 6

A: Given,            The function is fx=3x2 and the interval is 2≤x≤6.To find : The average value of th...

Q: Rewrite the rational expression using the method of partial fractions. 4(v)(y+ 2)(y – 3) 4y2 - 2y – ...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and the find the nth Maclaurin polyno...

A: The given function is; f(x)=19Cos(πx).

Q: biz' dt 2

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Q: 33. Let R be the ternary relation on A defined by the equation x? + 5y = z. Ras a set of ordered tri...

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Q: Let 5 sin⁡x+ 7 cos⁡ y=6. dy/dx= d^2y/dx^2

A: 5sinx+7cosy=6Differentiate w.r.t x5cosx-7sinydydx=05cosx=7sinydydxdydx=5cosx7siny

Q: Given a function r(x) such that r' (x) < -4 on [5, 9]. If r(5) = -9, which of the following could be...

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Q: Joy invests $5,000 into an account at an annual rate of 0.4% simple interest for 36 months. 1) What...

A: Topic = Algebra

Q: Solve the problem. The concentration of a certain drug in the bloodstream x hr after being 3x admini...

A: Given problem:- The concentration of a certain drug in the bloodstream x hr after being administered...

Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of ...

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Q: Solve the problem. Round your answer, if appropriate. A man 6 ft tall walks at a rate of 7 ft/sec aw...

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Q: Find the general solution of the given second-order differential equation. 3y" + 2y' + y = o y(x) -

A: Solution:3y''+2y'+y=03D2+2D+1y=0Auxiliary equation 3m2+2m+1=0m=-2±22-4×3×12×3=-2±22i2×3=-1±2i3m=-13±...

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select ...

A: We have to find the value of c by mean value theorem

Q: Consider the following system of linear equations. 5x+ 20y=-10 -6x-28y=12 Solve the system by comple...

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Q: Find the derivative. 5+ sec q 5- sec q

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Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225