For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in dollars 10,000. C(x) = 20,000 + 40x + X = 100 -Select Units- ---

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A: Part 21,Given,            y+x+y=x , 3,1To find : The equation of the tangent line and normal line.

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Q: Q2) Solve given differential equation using undetermined coefficient superposition approach y" - 2y"...

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Q: 1. (3r'y+4.xy' +6}tx + (* + ór*y -1lky = 0

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Q: 59. HOUSING STARTS Suppose that in a certain community, there will be M(r) thousand new houses built...

A: The function M(r) is given as  M(r)=1+0.02r1+0.009r2

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A: We will find the Differential equation as following. 

Q: The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

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Q: EXERCISE 2.3.6 Let f(x) = x and g(x) = 11r. Find Dlf(x) +g(x)]. %3D EXERCISE 2.3.7 Find D (x6-7x5 + ...

A: Given that:                                  6. f(x)=x-4 and g(x)=11x37. Dx(x6-7x5+13)8. f(x)=-9x2  ...

Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx  

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Q: Evaluate the limit. lim x+0+

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Q: dy (3x+4x (2x – 1)° , find the dx Let y =

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Q: 3.b) Eliminate the Ar bitrary Constants in the equation: ( 3.a) Eliminate the Arbitrary Conat anta i...

A: We have to obtained differential equation of given curves.

Q: P15

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Q: -16x + 9y + 32x + 36y + 124 = 0

A: Given: -16x2+9y2+32x+36y+124=0

Q: 9. lim V X-32

A: 9)limx→32x5

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A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

Q: 3. lim Jx| ズート-1

A: Let's find. 

Q: If f(x) = x² +- k find k so that f has a critical number at x = = 3. а. 6 b. 27 с. 216 d. 54

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Q: Find the slope of the line tangent to the given curve at the indicated point. a. f (x) = 3x + 10 at ...

A: Given function,f(x)=3x+10,Aim:- To find the slope of the tangent of the curve f(x) at (-3,1)Let y=3x...

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Q: sin 2.xdx Vsin? x- 3 Evaluate: а. 2Vsin? x -3+С b. sin? x-3+C +C d. Vsin? x-3+C с. Jsin? x-3

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Q: Polar equations find the eccentricity Identify the type of conic Write an equation of the directrix ...

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Q: (1 Each graph below represents a solution to one of the following differential equations. Match the ...

A: NOTE:- AS POSTED MULTIPART OF THE QUESTIONS, WE ARE ANSWERING ONLY FIRST THREE PART OF THE QUESTIONS...

Q: Evaluate the DE y²/x(x+y) = -y'

A: Given

Q: Let g(x) = = X-f(x) S(x) , find g'(1),if f(1) = 4 and f'(1) = 2

A: Given that g(x) = -x-f(x)f(x). We have to find the value of g'(1). Given that f(1) =4 and f'(1) =2. ...

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x2 ...

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Q: iii) Set up an integral for the area of the surface generated by rotating the curve about the y-axis...

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

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Q: 19 please

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Q: Determine the eccentricity & type of conic ;write an equation of the directrix corresponding to the ...

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Q: Determine the order and degree of the following equations: a.) (d^2y/dx^2)^2 = (dy/dx+4)^3/2 b.) sqr...

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Q: 00 nx n+3 n=0 3D0

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Q: Determine C when x-y%3D0 (xy + x)dx = (x²y² + z² + } + 1)dy O C=0 O C=1 O C-1 O None of the Choices ...

A: Given:- (xy + x) dx = (x2 y2 + x2 + y2 + 1)  dy To find:-  When x=y=0 then find C

Q: A = {1, 2, 3} b. A = {0, 1, 2, 3} c. A = {-2, -1, 0, 1, 2, 3, …} d. A = {…, - 2, -1, 0, 1, 2, 3}

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Q: Which of the following describes a plane perpendicular to the vector n = (2, 1, -4) and contains the...

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