Question 2 A company's Marginal cost function is M (x) =6x and the fixed cost is Php 1000. Find the cost function. (А 3/x3 + 1000 (B) + 1000 + 1000 + 1000

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

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A: To find out the gradient vector.

Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

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Q: Determine the domain and range of the following function. х-1 g(x) = V16–x²

A: Given : g(x) = (x-1)0.5/(16-x2)0.5 To find : 1. Domain                 2. Range

Q: Find the Maclaurin series for the function f(x) = ln(3 + 4x)

A: Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''02!x...

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: . Find all the second-order partial derivatives of the function z = f(x, y) = e2xe"

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Q: 4. To evaluate the integral J 5x dx JOvio, which of the following formulas can be used? V9+x10 du = ...

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Q: ソニqett 10 =50e-0,0357+ 5oe ○.2 ニe-0,0357ナ Inco.2)ニ =-0.3577 Tニ

A: y=aekt10=50e-0.0357tDivide 50 on both side1050=e-0.0357t15=e-0.0357t0.2=e-0.0357tapply ln on both si...

Q: dy 2y (х + 2)* dx x -4 х - 4 +

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: Put f(t) = 200

Q: V Solve using method of undetermined coefficents (D3+ GD°+ 12D + 8)y =o when x=0, y=1, y's-2, y"-2

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*) 01=yt...

A: we have to find the solution of  given differential equation.

Q: Homogeneous Differential Equation: (r* +2xy– 4y° kdx– (x² – 8.xy – 4y dy = 0 Let: x = wy dx= wdy+ydw...

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Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

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Q: Examples: Find the limits of the following: 1. lim sinx = sin1 2. lim cosx= cos (-1")= 7 x-1* 3. lim...

A: 1) limx-1- Sin-1x 2)limx--1+ Cos-1x 3)limx-infinitytan-1x.

Q: Find the differential equation of the family plane curves described. Draw atleast three members of t...

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given: x=5, y=-x+1, y=0 From the given lines the bounded region is as shown below;

Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

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A:

Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.) ...

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: 3 -11 ) If D = A? - 3A + 41, find a matrix D where A = -2 1 4 and I is identity -3 matrix of order (...

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Q: 2. Let f be defined by the equation f(x) = V3-x. a. Evaluate lim f(x) %3D x-3+

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Q: rrect. Canvas uses right minus wrong scheme in checking multiple Question 6 What is the integrating ...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A: This question is based on application of derivative.

Q: curves

A: Please refer to the image below

Q: Express the solution of the given initial value problem in terms of convolutional integral. A. y" + ...

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Q: Solve the differential equation e-y da (11) = ze" O e +z = C Oe lets) +7 = C O e +z = ( C O e-t-) +=

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Q: Assume that functions f and g are differentiable with f(- 3) = 4, f'(- 3) = - 4, g(- 3) = - 4, and g...

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Q: 5) Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal populati...

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Q: ce the first five terms of the sequence: ? + 2n – n}+ ermine whether the sequence converges, and if ...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

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Q: Consider the function f(r) 3x2 + 6x 11. f(x) has a critical point at z = A. Find the value of A: A A...

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Q: 4x- 5c + 20r 9 and classify them. Round Find the critical numbers of the function f(z) your answers ...

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Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 si...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: You invest $2100 in an account at an interest rate r, compounded continuously. Find the time require...

A: Continuous compounding interest is given byP(t)=P0ertP(t)=value at time t P0=original principal sum ...

Q: Determine the domain of f(x, y) = In (x² – y) %3D А. On and above the parabola y = a. В. On and belo...

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Q: 4.1 Finding Critical Numbers Q 17 (t): tJ4-t, t<3 tく glt): t(4-4) (t):そも(4-t)^):-(と(4ーと))=0 t(4-t) 5...

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Q: I. Analyze and sketch the following curves. Indicate critical points and label your graph. 1. y = 1/...

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Q: A tank initially contains 100 gallons of brine whose concentration is Ib/gal. Brine whose salt conce...

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

A: The given series is geometric series. In which a=-10/11 and r=-10/11.

Q: Find all solutions to the following equation on the interval 0<B< 2x (in radians). 2 cos (8) + cos(8...

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Q: Express the repeating decimal as a fraction. 0.4511 414141.

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Q: 1. Find the first derivative of y with respect to x (y') of the given functi 1. x³y-xy² +x² +y? = 0 ...

A: To find the first derivative of y using the given equation.

Q: Determine the domain and range of the following function f(x) = 3-x

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Q: y = ( ビー2 at x=1 x+2

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