7. For the quadratic relation y = -3x² + 12x + 20, (a) Complete the square to express in vertex (b) List the transformation(s) to the graph of y = x that was applied to obtain the quadratic. form.

Q: Show that yrcos(x²) is asoktion to: xy"-y'+4x3y =0, and then use reduction of order to fond a second…

A: Given differential equation is ,                                   xy" - y' + 4x3y = 0 (.)  If  y =…

Q: 6. Eliminate the arbitrary constants from the relation y=ax² +bx +c.

A:

Q: 5) Determine the lcft and right hehavior of the graph: y = 4x2 - 2x + 1. (a) Up to the lcft, down to…

A:

Q: Consider the graph of y = x² on the interval [-2, 2]. Using 2 rectangles of equal width, give the…

A: Find the lower sum of f(x) with 2 rectangles

Q: 3. Discuss how to transform the graph of y = x2 in order to obtain the graphs of #2a and #2b above.…

A: 3(a):

Q: The range of the quadratic function f (z) is the set of real numbers less than or equal to 1. If the…

A:

Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

A:

Q: Find an equation for the graph sketched below 7- 4- -5 -4 -3 -2 -,VI 2 3 4 5 -2 -7- -8+ f(z) =| %3D…

A: Consider the provided graph, We need to find the equation of the above graph.

Q: State the intervals on which each given function is increasing, decreasing, or constant.

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: 5. Eliminate the arbitrary constants from the relation y = Ae* + Bxe²*.

A:

Q: Find an equation for the graph sketched belo 구 -5 4 -3 -2 -1 3 4 -2 -3 -4 -6 -7- -8+ f(x) =| 3. 2.

A: The solution is given below:

Q: Sketch the graph of the relation R= {(x, y)|x² – 2x- 2 < y< 2x – r² + 2}.

A:

Q: х3 — х2 — 12х x - - Sketch the graph of y = f(x) | ,2 x* - х — 2

A:

Q: Draw the graph of f(x) = 4² +4 10+ 7- 6- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 I 2 3 4 5 6 7 8 9 ic -1 -2 -3…

A: We know that, the graph of the function fx=4x is given as As we know that, the graph of the…

Q: The table shows the percentage of people living below the poverty line in one U.S. city in the years…

A:

Q: What is the difference between the maximum and minimum of the quantity (x2y2)/25 where x and y are…

A:

Q: The graph of y =f(x+3)  is obtained from the graphof y = f(x) by shifting_________ 3 units.

A: Given, y =f(x+3)

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: question 4

A: First we try to graph y=x^2-2x-2 and y=2x-x^2+2.We make table for both of them.

Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: How can the graph of f(x) = -4|x| be obtained from the graph of y= Ixl?

A:

Q: Draw the graph of f(x) = 3² + 1 101 7- 6- 5- 4- 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 i 3 4 5 6 7 8 9 ic -2…

A: If we equate the given function f(x) to zero So, 3x-1=0     3x=1     x=0      (Since 30=1) It means…

Q: Suppose that x and y are two positive real numbers so that x + y = 10. Maximize the product xy

A: To find the solution of the given problem use the second derivative test. Second derivative test:…

Q: 7. Use the graph of f(x) → 3x² to obtain the graph of h(x) =x² .2

A:

Q: 4) y= V4x + 8 -2 9-

A:

Q: 1. How does the graph of f (x) = vVx – 2 differ from the graph of y = Vx+ 3 ?]

A: The value of sqrt(x-2) is differ from the value of sqrt(x+3).

Q: A tractor has a first cost of $40,000 and a salvage value of $15,000 in year 10. The MARR is 12% per…

A: Option B

Q: 4y Ay 2. 4. 2. 2.

A:

Q: 4. Sketch the graph of the relation R= {(x, y)| x² – 2x – 2 < y < 2x – x² +

A: The given relation is,

Q: is transformed into the graph of 2y 6 y = f(x) becomes point ( 57, If the graph of y = E(x) -4 f( x-…

A:

Q: Draw the graph of f(x) = 4ª -4 10+ 5- 4 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 I 2 3 4 5 6 7 8 -2- -3 -4…

A: We have to draw the graph of  f(x)=4x-4.

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: The management of the Titan Tire Company has determined that the quantity demanded x of their Super…

A: We are given Demand,D(x)=164-x2 Supply = 12x2+68 Calculation of the equilibrium point,…

Q: 7. Draw graph: When 2x+6 -3<=x<=0 f(x) = 6 O<x<2 2x-6 2<=x<=5

A: Consider the function:

Q: 3. Briefly describe the characteristics of the graph of y = f(x) that can be deduced from each of…

A:

Q: Suppose the graph of f (x) = x1/3is vertically stretched by a factor of 3 and then shifted down…

A: Given information: The function is f(x)=x13is vertically stretched by a factor of 3 and then shifted…

Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: The management of the Titan Tire Company has determined that the quantity demanded x of their Super…

A:

Q: Find an equation for the graph sketched below 4- -5 -4 -3 -2-1 2 3 4 5 -2 -3 -4 -5- -6 -7+ -8+ f(z)…

A: Given: To Find: Equation of fx.

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

A:

Q: Use the graph to find the following. 10- f(- 2) =O %3! 8- 6- 4- 2- X -10 -8 -6 -4 -2/ 2 4 9. 8 10…

A: Note that the function is given by y=fx. It is required to find the value of f-2. That is, the value…

Q: Find the functional relationship on the basis of the graph to the right. Ay 4- 2- 1- 0- 10 100 1000…

A: Known fact: The equation of line passing through two points x1, y1  and  x2, y2 is given by…

Q: Graph the function for the glven domaln. y = 2x D-2,0,2, 4 20 16 12 -8 -12 -16 -20 -n 4. -2 -1 0 1 2…

A:

Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

A:

Q: Use the graph of 5 x %3D x² + 4 to approximate the values of x that satisfy y > 1.

A: