QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

Q: Question 7 Given that f (x) = 3x – 2 and ( x + 3 if x > 2 g(x) = Ja| - 3 ifr 2 what is (f + g) (-2)…

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Q: Use Chain Rule to find given w = ds x2 – 2y + z2 and a = cos (st), y = -2s In t and z = s – - VE.

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Q: Find the value of (5a² – 6)da

A: This is a problem of integration. Based on the formula and concept we will answer the question.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: S csc2xdx cosx O sinx+C O -cotx+C O -cotx

A: By using standard formula.

Q: 12. S,(s² – 1) sds 13. (1² - t) dt

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Q: When a factory operates from 6 AM to 6 PM, Its total fuel consumptlon varies according to the…

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Q: a) Find the linear approximation of f(x) = Vx b) Use it to approximate V26.9 at x= 27 %3D

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Q: Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 x} | about the x-axis.

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Q: Question 1 Area bounded by the curves y=e", y=e", x=0 and x=In2 A 604/9 B 502/9 304/7 304/14

A: Ara of the above bounded curve is given by

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: dx S x(1+(lnx))²) 2.

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

Q: xsin x dx

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Q: Determine whether the integral is improper (x-4) -'dx A Improper B Not improper

A: Given data÷

Q: :Q1 Solve the second order differential equation Y" – 5Y' + 9Y = 0

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Q: Find the area of the region bounded by: r 9 cos(80) 0 < 0 < 2T

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Q: The discontinuities of the function f(x) = %3D 4х-9 are: х2—2х-15 Select one: O 5,3 O -5, -3 -5,3 O…

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Q: Q4) Find for the following functions dx 4. coth(ln x) y = 2x+3 3x+4 6. y = tan-1 V4x3 - 3

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Q: A factory selling cell phones has a marginal cost function C(r) 0.01x represents the number of cell…

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Q: Find the tangent equation for the function: f(x) = Vx2 +5 at x=2? Find the limits by using L.Hopital…

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Q: Question 2 Find the equation of the line through (9, 2) with slope -2/3. Select your answer y =-2/3…

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Q: Find the values of x for which the given geometric series converges. Also, find the sum of the…

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Q: A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Let й —, i = where A and B are some constants. Given that ủ + 40 = find the value of the product…

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Q: Find T(t) and N(t) at the given point. r(t) = (t? – 3)i + tj; t= 3 T(3) N(3) =

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Q: The conic section whose equation is 3x 2 - y 2 - 27 = 0 has a latus rectum equal to 9 18 6

A: Given:  Conic section : 3x2-y2-27=0  To find latus rectum

Q: 3. Find the absolute maximum value of the function f(x)=- 1+x2

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Q: Solve for X in the equation, where -4 -3 A = and B = 5 3 -3 -2 -5 ABHTOMA RD 2X + ЗА 3 В

A: The given matrix,A=-4-3203-3 and B=0250-2-5

Q: Let u= and v=. If uX v= then determine the value of 3A+B+C. Answer:

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Q: Q4) Find for the following functions (- dx Зх +4 %3D 2x+3 6. y = tan-1 V4x3 - 3 %3D

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Q: Q2 Obtain the general solution for the following differential equation. b) y" – 4y' + 3y = 3e2x +…

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Q: Find the length of the spiraling polar curve 2e 40 From 0 to 27. The length is

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Q: is said to be the Laplace transform of f, provided that the integral converges. to find L{f(t)}.…

A: Let's find.

Q: a) Favoring convenience, should you integrate with respect to r or y? b) What are the limits of…

A: Follow the procedure given below.

Q: Determine an expression, in simplified form, for the slope of the secant PQ with P(1, 2) and Q(1 +…

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Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i- 7j+? k) = i i+ i j+ i k

A: To find the limit of the given vector valued function.

Q: An oil tank is being drained for cleaning. After t minutes there are Vlitres of oil left in the…

A: Determine the rate of change of volume at the time t = 10??

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: (Drag and drop the missing words) ]sthe[ An of a definite integral as an endpoint of the interval of…

A: We have to fill in the blanks about improper integral.

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim r14 (Yx+5)-3

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Q: Q1 Using a method of reduction to separable equation and reduction to linear equation, find the…

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Q: Question You have been asked to design a rectangular box with a square base and an open top. The…

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Q: 2. Rule 1: Subtract 4 starting from 20. Rule 2: Subtract 3 starting from 20. Sequence 1 Sequence 2…

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Q: Determine the value of 3A+5B if 10x2 + 25x +5 A Cx +B (x – 1)(x + 1)² (x+1)² 1 - |

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Q: Solve the following problems using the concepts of Parametric Equations. Show complete solutions.

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Q: Determine whether the integral is improper (x- 4) -'dx

A: Step 1: Identify whether one or both of the bounds is infinite. If so, then this is a Type I…

Q: All edges of a cube are expanding at a rate of 5 cm/sec. Let the length of the edge be denoted by x.…

A: (a) all the edges of the cube expanding at the rate 5cm/sec Here length of the edge denoted by x and…

Q: Find Inz3 dz

A: LetI=∫lnz3zdzLet z3=udifferentiate 3z2dz=duDivide 3z2 on both sidedz=du3z2dz=du3z2Divide z oboth…

Q: 3) A homeowner wants to plant a rectangular garden next to the fence in their backyard. The fence…

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Q: Determine an equation of the line tangent to the curve Y = 10 at the point with x- coordinate 1.…

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