1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving areas between %3D curves.

Q: 5. The estimated cost per sq.m. of fully furnished house construction in a given site is governed by…

A: For a differential equation of the form: y'=fx, y, Euler's method uses the formula:…

Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x? + 6x +…

A: Given function is as below : C(x)=2x2+6x+12 Marginal cost can be given by Derivative of C(x) .…

Q: Consider the graph of the function given in the image: Knowing that L {x (t)} = X (s). Find X (s)…

A: We find X (s) from the following initial value problem:   x''-2x'+x=et f(t) with x(0)=4 and x'(0)=0

Q: 1) Use DESMOS to graph Y = log(x – 3), show critical points. %3D

A:

Q: 1 10) (1)Without evaluating the exact value of dx, what is the maximum amount your 1 VX value in…

A: "You did not give the problem number 9, so I just calculate the integration which you given." Given…

Q: Find the length of the curve e^x / 2 + e^-x /2 between x=0 and x=1

A:

Q: 4. Suppose f(x) = -3x+ log2x and g(x) = 2*. Find the AROC (average rate of change) of the composite…

A: Given the function is fx=-3x+log2xgx=2x

Q: 16. Suppose the radius r, height h, and volume V of a dh related to dt dV cylinder are functions of…

A: Given: A cylinder with radius, r and height, h. The formula for the volume (V) of the cylinder is…

Q: Suppose we have a revenue function given by R(z) = 6z- az?, %3D = 10? where a is a constant. What…

A: Given Rx=6x3-αx2 To find the value of α when average value is $20 for x=10

Q: B- Solve one of the following initial value problems for y as a function of x: 2. = - 1, y(0) = 1 dx

A: Given initial value problem dydx=1x2+1 -1      , y0=1

Q: Give an example of birthrates Ai >0 such that a birth process (Xt)t>0 with birthrates di, i20…

A: The example of birthrates should follow Poisson's distribution where λi are the birthrates, since…

Q: The Critical Point of y = xe-*

A:

Q: Question 1 Find and classify the critical points of the function f(x, y) = y* – 2y² – x³ + 3x.

A: The given function is: f(x,y)=y4-2y2-x3+3x

Q: 4.1. Estimate f(3). 4.2. Estimatef'(3). 4.3. Give an equation for the tangent line to y = f(x) at x…

A: To estimate f(3), find the value of y when x=3 from the given graph When x=3, the value of y is 3.5…

Q: Suppose that a quantity y = y(t) increases at a rate that is proportional to the square of the…

A: Given that a quantity y=y(t) increases at a rate that is proportional to the square of the amount…

Q: 4 solve the D.E " -X² Joly =0 3x2 ydx + LY

A:

Q: find the minimum and maximum value of the function on. the given interval by comparing values at the…

A:

Q: Find the value of x for which the marginal profit is zero. C(x) = 2x, R(x) = 6x - 1,000 О а. х33,000…

A:

Q: Find the value of [n] for which the area below the x-axis of the curve y = x" log x is d equal…

A:

Q: a) Show that if y = V1 + sin x then =: %3D b) A manufacturer estimates that x units of a particular…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  the revenue…

Q: Find the marginal revenue function. R(x) = x(18 - 0.04x) R'(x) =D

A:

Q: If the utility depends only on the consumption of x and u (x) = ( 2a¯i + 3) (-4xi +2), is Marginal…

A: Given u(x) = 2x-12 + 3-4x14 + 2

Q: Use implicit differentiation to find dy dx when x = 1 if x + xy + y2 = x3y2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve the initial value problems for y as a functionof x. (x2 + 4) dy/dx = 3, y(2) = 0

A: Given Data : Differential Equation x2+4dydx=3, y2=0                      1 The given initial value…

Q: e) What are the domain and the range for this situation?

A:

Q: Solve the following problem over the interval from x-0 to 1 using a step size of 0.25 where y(0) =…

A:

Q: Assume that it costs a company approximately C(x) = 625,000 + 160x + 0.001x² dollars to manufacture…

A: Let's find.

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: given

Q: The marginal cost of the xth box of light bulbs is  10 +  [ln(x + 1)] (x + 1)2,  and the fixed cost…

A:

Q: Use​ Euler's method with step size h​ = 0.2 to determine value of y.

A: To determine value of y at x=0.1 by solving the differential equation dydx=y−x1+x,y0=1, and h=0.2

Q: a cost function is given by c(x)=200e^-0.5x. Calculate teh marginal cost when x=3

A:

Q: 1- Find the average rate of change for y == Xo = 1 X1 = 2 2- Find the instantaneous rare of change…

A: Application of derivatives

Q: Sketch the level curve of g(x,y) = y / 4 ln x corresponding to g(x,y) = -1/2

A: g(x,y)=y4ln x=-12⇒2y=-4ln x⇒y=-2ln x

Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

Q: 2 Refer to the graph above and without making any computa- tions find: The average rate of change…

A:

Q: 12. If z = 2xy – 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing in…

A:

Q: Solve the initial value problems for y as a functionof x. (x2 + 1)2 dy/dx = √x2 + 1, y(0) = 1

A: x2+12dydx=x2+1⇒dydx=x2+1x2+12⇒dydx=1x2+132⇒dy=1x2+132 dx Now integrating on both sides, we get…

Q: Question 3 t- State the formula for the approximate integration of f(x) with n = 6 subintervals…

A:

Q: A company determined that the marginal​ cost, C′(x) of producing the xth unit of a product is given…

A: A company determined that the marginal​ cost, C′(x) of producing the xth unit of a product is given…

Q: if f=5 is an equilibrium solution of an equation of change involving df/dx, what is the value of…

A: f=5 is an equilibrium solution of an equation of change involving dfdx.

Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Example 10.33. Applying Euler's method to the equation dy/dx = hy, given y(x) = yo determine its…

A: We need to solve this problem using Euler's Method.

Q: 1) Consider the graph of y = f(x) from HW #2. 2. Sketch the graph of y = -f (x – 2) + 2. 2) Consider…

A: (1)  Gievn: f(x)=2x-6y=-12[2(x-2)-6]y=-x+5Average…

Q: 12. Find the profit function for the given marginal profit and initial condition. dP = -40x + 290,…

A: Solve the following

Q: Answer all of the following questions. 1.) Find the equation of the line tangent to f(x) = 6 ln(7–…

A:

Q: QUESTION 1 Find the average rate of change from x = -4 to x = 0 for g(x) = -2x + 18. QUESTION 2…

A: The average Rate of change of function f(x) over the interval [a,b] is  =(f(b)-f(a))/(b-a)

Q: If a company's marginal revenue function is  MR(x) = xe−x/9,  find the revenue function. [Hint:…

A: Consider the given marginal function.