Find the equation of the guadratic function with vertex (-5,3) and which passes through the point (2,9).

Q: Find the Particular Solution indicated. (Homogenous Linear Equation with Constant Coeffiecients)…

A:

Q: The average reading score on certain tests is given by y=0.153x+255.38 where x is the number of…

A: Solution:-     Given,            y=0.153x+255.38    where,           X= No. fo year past 1970…

Q: Find three positive numbers whose sum is 300 and whose product is a maximum.

A: Let x ,y,z are 3 positive numbers such that x+y+z = 300 and xyz is maximumThe problem formed…

Q: Form a polynomial equation with integral coefficients whose only roots are given. -1,2,-3

A: Given,           The roots of the polynomial are -1,2,-3

Q: Find the positive integer that maximizes the sum of the numbers and its reciprocals?

A: First make equation and then differentiate

Q: (5) log yz (6) log (7) log (ry) (8) log rvz

A: We will find the value of these problem using logarithm formula.  We know  , log(A/B) = log(A)  -…

Q: Suppose 275 trout are seeded into a lake. Absent constraint, their population will grow by 75% a…

A: Given problem Given that   Suppose 275 trout are seeded into a lake. Absent constraint, their…

Q: 5. Find two positive numbers whose sum is 110 and whose product is a maximum.

A: Let two positive numbers be x and y  x+y=110

Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

A:

Q: Which forest's population is growing at a faster rate?

A: A(t)=115(1.025)t B(t)=82(1.029)t

Q: A rectangular portion of a pasture next to an irrigation canal is to be enclosed by a fence with no…

A: We have given a rectangular portion of a pasture. The area of the rectangular pasture = 87362 square…

Q: units of special lamp and the regular lamp should be produced per production period in order to…

A:

Q: Find the Solution set of The followmg equations 2Lo937-310g3 9=7 and LogI3 x-21093 y= 4 and Logs…

A: The given equations are: 2log3x-3log3y=7            (1)log3x-2log3y=4              (2)

Q: Two cars start moving from the same point. One travels south at a rate of 60 mi/h and one travels…

A:

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 45% a…

A: At initially 175 trouts are present,Population will grow by 45% a year,Maximum trouts which can be…

Q: Find the number in the interval [ - 5,5] so that the sum of six times the number and its square is…

A:

Q: Plot the percentage of machines not running as a function of the service factor for a population of…

A:

Q: Find two positive numbers whose sum is 12 so that the product of the square of one and 4th power of…

A:

Q: Find three positive numbers whose sum is 90 and whose product is a maximum.

A: Second derivative test: For critical points, fx=0 fy=0 A function f(x,y) has a local maximum value…

Q: Suppose 150 trout are seeded into a lake. Absent constraint, their population will grow by 35% a…

A:

Q: Suppose 225 trout are seeded into a lake. Absent constraint, their population will grow by 60% a…

A: Since the growth rate is given in terms of percentage for first of all we will convert into decimal…

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 60% a…

A: Recall: Logistic growth model   P(t)=m1+m-PPe-ktWe have, P=175, m=2000, k=60%=0.60, t=5 years

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A:

Q: Due Sun 04/03/2022 11:59 Train A has a speed 30 miles per hour greater than that of train B. If…

A:

Q: The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of…

A: y = 0.013x2 - 1.19x + 28.24 We have to solve for the value of x when y = 10 Or, we have to…

Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Here we have to use the logistic growth model. I have appended the formula used in the solution part…

Q: Suppose 275 trout are seeded into a lake. Absent constraint, their population will grow by 50% a…

A:

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 65% a…

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: When air expands adiabatically (without gaining or losing

A:

Q: How to eliminate these 2 equation to determining the two unknowns?

A:

Q: One tiny insectAis crawling rightward along thex-axis, and another insectBis crawlingupward along…

A: Given: A is moving through the point (12,0) with speed 6, and B is moving through the point (0,5)…

Q: A certain company produces and sells frozen pizzas to public schools throughout the eastem United…

A: In regression analysis, if the independent variable is time, the data is called time series data.…

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14x−14 meters long.…

A:

Q: Find three positive numbers whose sum is 63 and such that their product is as large as possible.…

A:

Q: A constant number of files are processed daily at Mehenti Carobar (MC) Pvt. Ltd. Three clerks can do…

A: Let, head clerk takes x hours, senior clerk takes x+2 hours and junior clerk takes x+2+6=x+8 hours…

Q: Find three positive numbers whose sum is 400 and whose product is a maximum.

A: Let 3 numbers be x, y, z Sum of these numbers is 400 x+y+z = 400          z= 400-x-y Product = P(x,…

Q: Find the dimensions of a rectangle with area 27000 m2 whose perimeter is as small as possible. (Give…

A: Explanation and solutions is given below.....

Q: solve the equation by the method of change of parameters

A: The differential equation is y4-16y=ex The characteristic equation from the homogenous equation is…

Q: A culture of bacteria initially contains 1200 strands. If the rate of increase in the population of…

A: Equation that formulates the growth is as follows. Pt=P0ektPt is the population after t minutesP0 is…

Q: two cyclists start at the same point and travel in opposite directions. One cyclist travels  4 kmh…

A: Speed of slower cyclist =xdistance covered by slower cyclist =3xSpeed of faster cyclist =x+4distance…

Q: A population of protozoa develops with a constant relativegrowth rate of 0.7944 per member per day.…

A: Given data: A population of protozoa develops with a constant relative growth rate of 0.7944 per…

Q: Find: > LSRL equation and predict the number of hours of walk per week for 35-year old person > r…

A: The independent variable is Age. The dependent variable is Hours of walk per week. This is simple…

Q: Find a function whose graph is a parabola with vertex (5, −2) and that passes through the point (4,…

A:

Q: A critical communications relay has a constant failure rate of 0.1 per day. Once it has failed,…

A: Given that a critical communications relay has a constant failure rate of 0.1 per day. Once it has…

Q: Find two positive numbers whose sum is 32 and the sum of their square roots is maximum.

A:

Q: Suppose 19 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A:

Q: A money market fund has a continuous flow of money at a rate of f(x)=1500x-170x2 for 10 years. Find…

A:

Q: The price of a computer component is decreasing at a rate of 14​% per year. State whether this…

A: