Maximizing Area A home- owner has 200 feet of fence to enclose an area for a pet. a. If the area is given by А(х) — х (100 — 2) what dimension maxi- mize the area inside the fence? b. What is the maximum area? c. Determine the domain and range of A in this application.

Q: 14 = 0 23. -x2 + 2x + 24 = 0 = -81 25. 2x2 – 8x = –32 - 15 = 4 27. -3x? – 7+ 2r = -11

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Q: (a) Find scalars a and b such that z = ax + by. (a, b) = (b) Do there exist scalars a and b such tha...

A: Please find the solution

Q: 3. (7,-2) 4. (4, 0) 5. (-3, 8)

A: The solutions of a system of linear inequalities is shown as a shaded region in the x-y coordinate s...

Q: Use elementary row or column operations to find the determinant. 3 3 -8 7. 2 -5 5. 68S3

A: We have to find determinate by row or column operation. 

Q: Find the present value: 1. Php 40,000 due in 2 years at 3% compounded monthly 2. Php 60,000 due in 3...

A: topic - compound interest

Q: Solve for the value of x and y from the given equation (2x + y) + (x - y)i = 4 - 10i X= -2, y =8 x =...

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Q: Express the column matrix b as a linear combination of the columns of A. (Use A,, A,, and A, respect...

A: The solution is solved by applying Gauss- Jordan elimination method, for (equation) linear combinati...

Q: Find the general solution of the equation + (2 tan 2f)y = cos 2t. The general solution of the given ...

A: topic - linear differential equation

Q: Solve the given differential equation by variation of parameters. x?y"+xy'-y In(x) v(x) -cjcos(In x)...

A: First we find complementary solution then find Wronskian. 

Q: Fill in the blank with the correct answer. ( Simple Interest) Amount/Maturity Principal Interest Rat...

A: I=PRT and A=P+I  Where P is equal to principal, I is interest, A is amount, R is rate of interest, T...

Q: The ratio of the two sides of two similar parallelograms is 2:9. The perimeter of the larger paralle...

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Q: the red graph of f (x)=x^2 to the blue dotted line graph of g(x)=-2x^2+6 select all that apply for t...

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Q: Find all minors and cofactors of the matrix. -3 1 2 5 6 4 1 -3 2 (a) Find all minors of the matrix. ...

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Q: nus: 12. David competed in a 65-km dirt bike race. For the second half of the race he rode his bike ...

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Q: Consinder the functions  f(t) = t2 + 4t -2 and g(s) = s + 3 Find f(2)         g(9)         2f(1)+...

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Q: a) 36 + 9· 2 (b) 7 + 3(2)®-6 (c) |4(- 7)| – |– 30]

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Q: The width of a rectangle is 5 centimeters shorter than half its length and the perimeter is 158 cm. ...

A: lets  length = a width = b = a/2 - 5 perimeter = 158 cm perimeter = 2(length + width) perimeter = 2(...

Q: Find the inverse of the given matrix if the matrix is invertible, and check your answer by multiplic...

A: A=17101980991110  

Q: (e) Use a backward finite difference approximation to approximate the first derivative of the follow...

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Q: ....... .. .. ..... . . .. .. *.... . Evaluate the determinant, in which the entries are functions. ...

A: topic - determinant

Q: Please do using Crammer's rule 3x 3 Linear system 2z +y-2z -1 3z- 3y-z 5 z- 2y +3z 6 5.

A: We will use Cramer's rule to solve the system as shown below

Q: ) Using the graphs given below, draw the following equations. Be sure to ide a) у %3D (-х — 1)3 +2 b...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Elsa and Anna left the castle at 8:00 a.m. to go for a run. Anna was jogging at 6 mph and Elsa was j...

A: Given Anna was jogging at 6mph and Elsa was jogging at a rate 2mph slower than Anna. So Anna was jog...

Q: 20. x2 = 5x

A: Topic = Equations

Q: If (x + yi)( 2 - 4i) = 14 - 8i, find x O 3 O 5

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Q: Fill in the blanks below. Find the slope of the line passing through the points (9, 9) and (9, -2). ...

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Q: Solve the following initial-value problem. dx dx 8 -7 - 1x = 0, x(0) = - 1, (0) = 1 dr? dt The solut...

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Q: Salmonella Enerica bacteria in a certain environment, the population doubles in size every 24 hours....

A: Given query is to find the number of bacteria after 9 days.

Q: Answer with distributive property 4(3x+5)+5x-6

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Q: 5x+16 3x+4

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Q: 1. Php 40,000 due in 2 years at 3% compounded monthly

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Q: 1 Use the graph to evaluate the function below for specific inputs and outputs. 9. y = g(x} 7 6+ 5+ ...

A: Here we have to evaluate the function by using the graph.

Q: Polynomial long division (2x^2+6x-15) ÷ (x+5) give the quotient and the remainder.

A: Solution : Using Polynomial long division

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of sol...

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Q: Convert the expression with ratio a (without simp Simplify completely.

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Q: A set of data items is normally distributed with a mean of 50 and a standard deviation of 8. Convert...

A: Given,           A set of data items is normally distributed with a mean of 50 and a           stand...

Q: Simplify the difference quotient et h+0, for f) -2x-x+2.

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Q: Suppose that y varies directly with x, and y=6 when x 15. (a) Write a direct variation equation that...

A: A detailed solution is given below

Q: Without graphing what is the vertex of the quadratic function 2x^2-8x+8

A: Topic = Functions

Q: If (x + yiX3 - 2i)= 16 - 2i, find the value of y

A: To find the value of y we compare both side  imaginary parts 

Q: For a certain patient, a dose of Acetaminophen decays exponentially in their blood stream with a hal...

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Q: NAME Function c is defined by the equation c(n) visiting a gym as a function of the number of visits...

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Q: Determine an equation for the pictured graph. Write your answer in factored form and assume the lead...

A: Given query is to find the equation of the graph.

Q: x² - 6x ≥13

A: Solution is written in below steps.

Q: Solve the following  2x-6 = 1/8

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Q: 0 1 Perform the indicated operations, given a = 4, b = -5, and B = -1 (а + b)В (а + b)В

A: Given; a=4 ,b=-5 and B=0 1                              -1 2.

Q: You are an accountant for a manufacturer of radios.  The demand function for the tablets is p=40-4x^...

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Q: For Exercises 17 and 18, the students were asked to solve the given equation using the square root p...

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Q: / Calculate mean, variance and standard deviation of following ole: classes frequency 1-10 11 10-20 ...

A: Classes Midpoint(x) Frequency (f) fx 1-10 5.5 11 60.5 10-20 15 29 435 20-30 25 18 450 30-40 ...

Q: Find the Laplace transform of 6t - 5te+5. L{6t- 5te ¯' + 5} = %3D

A: