13) Match the graph with the correct function. (b) S) = -1 2r +1 (a) S(1) %3D %3D 2r + 1 ? + 2r + 2 * + 2x2 + x- 2 (c) (x) = 2r - 1 (d) S(x) 2x + 1 (e) None of these 14)

Q: 5. A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: Let the length of the wire cut=xAll sides of square are same side length=yPerimeter= 4 y…

Q: 7) A rectangle has its two lower corners on the x-axis and its two upper corners on the curve…

A: Follow the procedure given below.

Q: 21. Find the quadratię function y = ax² + bx + c whose graph passes through the points (-1,0), (1,…

A:

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

A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: For a certain company, the cost function for producing x items is C (x)=30x+100 and the revenue…

A: Given, The cost function is C (x)=30x+100 The revenue function is R(x)=-0.5(x-90)2+4,050 The maximum…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: Given function, f(x)=4x6-615

Q: find the maximum and minimum values of the func- tion on the given interval y=2x2−4x+2,  [0,3

A: Given y=2x2-4x+2

Q: A rectangle is constructed under the graph of f(r) = 4x with one corner at (7, 0) and one corner on…

A: Consider the rectangle. The top left corner of the rectangle lies on the curve y=4x2. Thus, the…

Q: Suppose a corporation manufactures candles at two locations. The cost of producing *1units at…

A:

Q: 104v 2 -10 -8 -6 -4 -2 0 4 6 8 10 -2 -4 -6 -8 -10 Match the graph with its function by translating…

A: topic - translation of a function

Q: 2. Find the local and the absolute maximum and the minimum values Ax) = x4 – 8x3 + 6x² + 40x + 3 %D…

A:

Q: What is the x-component of the minimum point of the function in the picture?

A: Given  z=x2+xy+y2-y ∂z∂x=2x+y On putting,  ∂z∂x=0 ⇒2x+y=0 ---> eqn(1) Now, ∂z∂y=x+2y-1 On…

Q: 5. Find the quadratic function whose graph has vertex at (1,2) and passes through (3,4).

A:

Q: 2-→Find-the-residues of the-function-at-its-poles F1:(2)-(2-z-+3)/(z²-4)1

A: The given complex function is: F1(z)=2z+3z2-4

Q: 7) A piece of sheet metal 20 cm x 12 cm is used to make an open box. To do this, squares of side x…

A:

Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

A:

Q: 2. A fertilizer producer finds that it can sell its product at a price of p = 300 -0.1.x dollars per…

A:

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

Q: 3) Solve the problem. 3) Use the graph of y = f(x) below to graph y = 5f (x) 10+ 9- 7- 6- 4 5 7 X A)…

A: if we have function f(x) and we multiply it with any constant say k  if k > 1  then graph will…

Q: Example 10. Find maximum profit. If R = 30x – x² and C = 20 + 4x. %3D %3D

A:

Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…

A: Consider the given question,The breakeven point occurs where profit is zero or when revenue equal to…

Q: 1. a) Determine the coordinates of the critical points of the function y = 36x – 3x² – 2x³ b)…

A: For finding critical points  Y' = 0 For maxima and minimum values find  Y"(x1) and Y"(x2)

Q: 2-→ Find-the-residues-of-the-function-at-its-poles F1:(z) = (2-z-+3):/(z²-4)¶

A: We need to find the residues of the function F1(z)=(2x+3)/(z2-4) at its poles.

Q: A rectangular box is to be made from cutting out equal squares from each corner of a piece of…

A: we have been given the function of a volume V(x)=(10-2x)(16-2x)x  where x=side of square pieces that…

Q: 4. Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not…

A: A cubic function is one in the form f(x)=ax3+bx2+cx+d. The "basic" cubic function, f(x)=x3 , is…

Q: 2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2…

A:

Q: At a certain vineyard it is found that each grape vine produces about 10 lb of grapes in a season…

A:

Q: The function Ax) = -2x(x - 1)(x - 2)(x+ 2) %3D has 4 zeros. has a maximum O as x→-∞, y–-∞ all of the…

A:

Q: Find a function y whose graph passes through the point (1, =) and satisfies x2y' = y.

A: NOTE: Refresh your page if you can't see any equations. .

Q: 3. Draw a graph of y= f(x) that matches the following characteristics. Increasing on: -8 <x<-4 and…

A: Given query is to draw a curve according to the given data.

Q: #4. Suppose the profit from the sale of x units of a product is P = 6400x – 18x² – 400. - a. What…

A:

Q: 1. The minimum point on the graph of the equation y = f(x) is (2, – 1). If f(x) is shifted 3 units…

A: Given that y=f(x)minimum point on the graph is (2, -1)

Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: A piece of wire of length 67 is cut, and the resulting two pieces are formed to make a circle and a…

A:

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

A:

Q: 1. How many point(s) of inflection are on the graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x2 -…

A:

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include…

A: The given differential equations is y′=−6x+3.

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: Suppose the profit from the sale of x units of a product is  P = 6400x − 18x2 − 400. (a) What…

A: NOTE: Refresh your page if you can't see any equations. .

Q: A rectangle is constructed under the graph of f(1) = 4x with one corner at (8, 0) and one corner on…

A:

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

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

Q: How did you apply the concept of maxima/minima in answering the problem? Angelo, who is in a…

A: Consider the given information. The row speed is 6 kph and the run speed is10 kph. Let's consider…

Q: 13. Find the minimum and maximum value of the function on the given interval. y = 2x 2 + 4x + 5 [-2,…

A:

Q: 2. A rectangular area is enclosed with fencing on three sides, with the fourth side along a house.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 30. The graph of y = x³ + 21x² – x + 1 is concave down for (a) x 7 (e) x 7.

A:

Q: bounded by the graphs of the equat y

A:

Q: A Norman window is a rectangle with a semicircle on top. Suppose that the perimeter of a particular…

A: Let, x denotes the half width of the rectangle.y denotes the height of the rectangle.And…

Q: Sketch the graph of y = (x – 3)*(x + 1)³(x - 1) by finding its intercepts and its limits as x → o…

A: topic - functions

Q: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

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.