Let f(x)=x^3 +3  and g(0x)=3x-4; find (fog)(x) and (gof)(x

Q: FCX)=5 25 -x², X L5 F(X)

A:

Q: Sketch the graph of:

A: To sketch a graph follow the steps given below. 1) Calculate the x- intercept by taking y=0. 2)…

Q: f(x) = x3 + x2 - 6x y 30- g(x) = 6x 20+ (3, 18) 10+ -10+ -20- (-4, -24) -30- 2.

A:

Q: A firm produces a product that has the production cost function C(x) = 300x + 14,100 and the revenue…

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

Q: Find two real numbers whose difference is 40 and whose product is a minimum.

A: Let the two real numbers be x & y. Since the difference is 40, therefore x-y=40⇒y=x-40   →1 Now…

Q: Find two positive numbers whose sum is 15 so that the sum of their square is minimum,

A:

Q: Differentiate f(x) = (2x³ + 3x² )(x² + 5x³ +5) using product rule.

A: This question is based on product rule of differentiation.

Q: 9. Create the equation of a polynomial function where the instantaneous rate of change is equal to 0…

A: A polynomial is one of three basic mathematical functions. This function is widely used in different…

Q: Find the Break Even Point for the Firm whose cost function C and revenue function R are given.…

A: The given data is: Cost function is given as: Cx=13x+6000  Revenue function is given as: Rx=19x…

Q: Differentiate 3x-1 2x + 3 with respect to 'x'.

A:

Q: 3 + 2x g(x) %3D 5 - 8x

A:

Q: Differentiate f(x) = (8x³ + 4x )(2x² +5) using product rule.

A:

Q: suppose a baby food company has determined that its total revenue R for its food is given by R=…

A:

Q: Find f"(x). 8 f(x) = 5x - 10x - 3 %3D

A: Given, f(x)=5x2-10x-8x3   Find f''(x)

Q: 9. Differentiate the function (use long method): y = xvx-1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: How do I find Sec(2) with minimal calculator use?

A:

Q: A rectangle measuring 15 inches by 42 inches is to be made into a box with an open top by cutting…

A: applying second derivative test to find maximum volume

Q: Forwarded Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and…

A: Maximization of a linear programming problem is carried out to obtain a solution that follows all…

Q: 4x - 7x Differentiate with respect to 'x' 6x + 5

A:

Q: The quadratic function that best models this population as a function of the number of years after…

A:

Q: Find the coordinates of the maximum point. 4 In x +4 y=

A:

Q: Use quotient Rule: 2 6. y = X-3 5. У x2 –5x + 6

A:

Q: 5 Find the domain of y = Vlx + 5| – |x – 3| + - - Vx2-9

A: Given function :

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

Q: Find two numbers with difference 130 and whose product is a minimum.

A:

Q: Can you Help with this zero rule problem

A: Given,           8x4y0

Q: f(x) = 7x3 - Vx- +7 x3 6. f(x) = 4x3-7x-2 %3D x2

A:

Q: What is the maximum value of y = -3.4sin(x- 60˚)?

A: we will use derivative.

Q: Obtain the general solution using separation of variables

A: Given: dx=t1+t2sec2xdt To Find: General solution using sepration of variables Concept: (a).…

Q: Find the critical points for f(x) = 3x5 - 20x3. %3D

A:

Q: maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

A: Linear programming, graphical method

Q: F(x) Vex-uz 81 -9X

A:

Q: Find the maximum area of a rectangle inscribed under f(x)=16-x2 and the x axis

A:

Q: the area of the largest rectangle that can be drawn with one side along the x-axis and the two…

A: Given curve is y=e-x2. Here the curve is symmetric about origin. Consider the vertices of rectangle…

Q: How do I find the relative extrema of x3 - 27x?

A: To find the relative extrema of the below function. Relative extrema occur at the point where the…

Q: a firm hasn total weekly revenue in dollars for its product given by R(x)=2800x-8x2-x3, where x is…

A:

Q: e 60x1 + 70x2 Subject to: 2x1 + x2

A: Given,   Maximize           60x1+70x2Subject to coinstraint:            2x1+x2≤300…

Q: A firm can produce only 3200 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Find the profit function P(x):

Q: Minimize F = 24x2 + 24y2 with xy2 = 16.

A: Minimize F = 24x2 + 24y2 with xy2 = 16.

Q: differentiate using delta method y= x2-6x+8

A:

Q: A 40-room hotel is fully occupied if $3000 is charged per day per room. For every x hundred-dollar…

A:

Q: If the utility or profit function for a product is: U (x) = 5,600x + 85x ^ 2-x ^ 3-200,000 dollars,…

A: If the utility or profit function for a product is Ux=5600x+85x2-x3-200,000 dollars, will selling…

Q: Use thế # 1) f(x) = 8x3 - 24x2 + 18x + 6 # 2

A:

Q: Find concave upward and concave downward of 6x^2-x^3

A:

Q: 25. f(x) = x' + 2.56x² – 3.31x + 0.89 -

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: Find the cxhreme Point and extreme direcbion region of the て-う + X2u5 2 (メメ): - 3X、 → X2c-2 -Xit…

A: We are given the following system of 2d Linear equations : -3x1 + x2 ≤ -2 -x1 + x2 ≤ 2 -x1 + 2x2 ≤ 8…

Q: Suppose x and y are positive integers such that the sum of x^2 and y is 10x. Find the values of x…

A: Given x^2+y=10x.From there find y.

Q: suppose a baby food company has determined that its total revenue R for its food is given by R =…

A: Given:       R = - x3 + 36x2 + 540x    R is measured in dollars and X is the number of units…