Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be items. (Round to nearest whole number.)

Q: omplete the following tables. HI5 I-3 2-6r +9 H-3 2-6r+9 2.5 3.5 2.8 3.2 2.9 3.1 2.99 3.01 2.999 3.0...

A: Let's find. 

Q: Question 6 - P Consider a room in the shape of a cube, 4 meters on each side. A bug 4 m at point P w...

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: 2. f(x) = V2x + 3, a = 3 %3D

A: 2) f(x)=2x+3,  a=3  slope of tangent line is m= dydxm=122x+3×2   m=12x+3Substitute x=3⇒m=12(3)+3    ...

Q: A- Graph the following functions and determine (domain, range) (1) y= sin/x/ (2) y= /x - 2/

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

Q: Question Find an algebraic expression equal to sin(sec- (5x + 1)). (You may assume that -5 < sec- (5...

A: We are given expression . Now,                  sinarcsec5x+1Use the following identity: sinarcsecx=...

Q: If u = e°", 3x dv = 4 sin 2x da then 3e* da, v = 2 cos 2x. Select one: O True O False

A: Let's find. 

Q: 1. y = ax? + 2be2x

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: -b 5dx If 1 48x2 + 1 = 2, what is the value of b? А.) 2 В.) 4 C.) 8 D.) 9

A: We can find the value of 'b' as below.

Q: The position of a car traveling along a highway is given by the function s(t) = 21* - 61-612 + 3 whe...

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Q: B. . .] For each of the following limits, use the properties of limits to compute the limits. Show y...

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Q: How do you find the derivative of function y=x^2-2radicalx/x

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Q: (9xy-2y2) dx - (6x²- xy) dy =0

A: 9xy-2y2dx-6x2-xydy=0dydx=6x2-xy9xy-2y2dydx=x6x-yy9x-2y  

Q: Determine the derivative of the ff. functions 1. y = 100 cos 3x 7. y = 8x³ sin (1 - 5x)

A: topic - derivative of a function note : As per bartleby guidelines we are supposed to answer only fi...

Q: find the definite integral of [e^(arcsec x)] / [ (x)(x^2  - 1)^(1/2)]  dx as x goes from 1 to infini...

A: This question is related to definite integration, we will solve it using given information. 

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 1 x = -(y2 + 2)3...

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Q: evenue and cost functions R(q) = 90q – 0.3q and C(q) = 14q + 500, find the marginal profit rginal pr...

A: Topic:- function  Marginal profit is the difference between the marginal revenue and marginal cost a...

Q: a) Show that f(x) = |5x+6| is continuous everywhere. (One point in particular is important to check)...

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Q: For each problem, use implicit differentiation d in terms of x and y. dx 1. 2x3 2y2 + 5 2. 3x2 + 3y2...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Given revenue and cost functions R(q) = 90q – C - 0.4g and C(q) = 15q + 550, find the quantity when ...

A:

Q: A water tank in the shape of an inverted circular cone has a base radius of 4 m and height of 6 m. I...

A: A water tank in the shape of an inverted circular cone has a base radius of 4mand height of 6 m. If ...

Q: a) [ ]: Evaluate the integral (4x + 1) In x dx c) [ ]: Evaluate the integral 2 dx (x – 1)(x + 4) |

A:

Q: Find the indefinie intgrel wite 5 sec (2x) tan (2x) dx

A: Topic = Integration

Q: dy + 4y = 8 dy d. x- dx = (x – y)² %3D a. dr dy e. da dy + 4y = x? %3D b. = V1+x2 %3D dx dy dy c. dr...

A: This can be solved as follows:

Q: Use the degree 2 Taylor polynomial for f(x) = x centred at a = 1 (from question 3) to find an approx...

A: Given is the question of taylor series expansion.

Q: tf(r.,2) 4ry t and u is the unit vector in the direction of (4, 2,-5), tmen the drectional denvative...

A:

Q: (r +1)' sin x (c) lim - 2.x X-0 sin x (d) lim- X-0 20' lim + sin 0 (e) 40

A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in t...

Q: С. 1 Evaluate the following limits x2 +6x+5 1) lim x-5 x²+2x-15 x(х-5)-24 2) lim x→8 x2-8x (2+x)3-8 ...

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Q: Analyze ( find the relative extrema, inflection points) and trace the curve y = x3 - 3x2 - 9x + 5.

A: Given function f(x)=x3-3x2-9x+5

Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

A:

Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx V1 + x2 tran...

A:

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t + ...

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial fraction:3s2(s-1)=As+Bs2+C(s-1)3=s(s-1)A+B(s-1)+Cs...

Q: 3. tan(xy) + xy = 0

A: Since, the student has clearly mentioned to solve question number (3), so we are solving only questi...

Q: A- Find the distance between the line (y =x+3) and center of circle (x+y-2x-0). B- Using Cramer's ru...

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

A: Given y=lnex+e-x To find y'':

Q: 6. y = In (e* + e*)

A:

Q: X X sin². sin? - cos' ,dx CoS 2 2 2.

A: x2=u → dx=2 duI=2 ∫ sin2u cos7u duI=2 ∫ sin2u cos u cos6u duI=2 ∫ -sin2u cos u (sin2u-1)3 dusin u =v...

Q: Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P. 12ft B The point...

A: Rate of change

Q: 1/2 dx r2)2

A: Given problem:-

Q: 2. Suit Sales The number of suits sold per day at a retail store is shown in the table, with the cor...

A: We need to find mean, variance, standard variation.

Q: x³dx 3. J (x4+4)* (x4+4)4|

A:

Q: 3) Using BAIRSTOW'S METHOD, solve f(x) = 2x* + 2x2 - 5.5 = 0 Use 4 decimal places. Required % Error ...

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Q: MODULE IN BASIC CALCULUS IV. Exercises 1. Determine the general antiderivatives of the following fun...

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Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)...

A: Using chain rule of differentiation

Q: By substitution u = x² + 5x, the definite integral (2x + 5) ln (x² + 5x) dx becomes Select one: O No...

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Q: True or False: If we use substitution the substitution x = tan 0, then, the integral dx 1 + x2 trans...

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Q: sin x + 10(csc x)² dx

A: To compute: ∫(sin x+10(csc x)2)dx

Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: If (an)? – (an-1)(an+1) = (-2)" for n>1 and ao = a1= 1 then az = a ) 0 b) 5 c)-3 d) 1 e) none a b. o...

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Q: A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 ...

A: