A builder must fence all sides of 3 adjacent rectangular lots, each having 168 m2 of area. Front line fencing costs $25/m, side and rear-line fencing costs $10/m. Find the dimensions of each lot for the least possible cost.

A builder must fence all sides of 3 adjacent rectangular lots, each having 168 m2 of area. Front line fencing costs $25/m, side and rear-line fencing costs $10/m. Find the dimensions of each lot for the least possible cost.

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.CR: Review Problem Set

Problem 37CR: A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing...

See similar textbooks

Related questions

Q: For numbers 41-43, suppose that the functions f and g and their derivatives with respect to x have…

Q: S(xcos?x + xsin?x)dx jt la

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

Q: Determine whether the given differential equations are homogenous and, if so, solve them. 2x + y…

Q: Evaluate the integral using integration by parts. cos

A: We can solve as follows

Q: Evaluate F (t) t NCt) for t=#

Q: fine Use FTC-1 to find the derivative of the function g(y) dz 1+ %3D

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-6, 2,…

Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: Which of the following is a complete list of possible inflection points for F(x) = 3xe4x A. 2 1 4 1…

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

Q: The half-life of caffeine in the body is approximately 5 hours (Brachtel and Richter, 1992). If you…

A: Here, given that the half-life of the caffeine in the body is 5 hours and P0=50 mg. Now, we have:…

Q: b) The general term of the sequence 21 35 49 63 20' 35' 50' 65 is of the form an+b an cn +d…

A: The given sequence,2120, 3535, 4950,6365,....

Q: A jet plane travels 2 times the speed of a commercial airplane. The distance between Vancouver and…

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

Q: Find the inverses of the following matrices. You can use any method you like, and check your answer…

Q: Evaluate the definite integral: I Va de

Q: Question 9 Calculate the average of the function g(x) = sin 3x over the interval [pi/2, pi] 5/pi a O…

Q: 253 4x

A: Given query is to find the value of the integral.

Q: f(r) = 5 sin(sin(x)) %3D

A: answer is in next step

Q: Prove by contrapositive. if x and y are integers such that x > 1, and x divides y, then x / (y +1)

Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the integral

Q: Evaluate: (20t3 – 12t? + 7)dt

A: ∫03 (20t3 - 12t2 +7 )dt here we use rule of integration xndx = xn+1/(n+1) [20t4/4 -12t3/3 +7t]03…

Q: Evaluate the definite integral: | (и - 3)(и — 4) du

Q: -Obtain the Cartesian equation of the curve by eliminating the parameter. 14) x = t - 3, y = t2 + 5…

A: To obtain the Cartesian equation of the given curve.

Q: 2) Evaluate the following line integral: . 0+z)dx + (x + z)dy + (x + y)dz where C consists of the…

A: C1: (0,0,0) to (1, 0, 1)x-01-0=y-00-0=z-01-0=tx=t, y=0, z=tdx=dt, dy=0, dz=dtI1=∫01[(0+t)+(t+0)]…

Q: - 1)*dx

A: ∫02 (x-1)2dx ∫02 x2 -2x +1dx [x3/3 -x2 +x ]02 8/3 - 4+2 -0 8/3 -2 (8-6)/3 2/3

Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A: We need to find horizontal and vertical asymptotes.

Q: 6 Time Taken: Mins Secs The effectiveness of a certain medical injection is modeled by E(t) =…

A: We have to find the time when reading become sufficient and when reading become too low..

Q: Find the absolute maximum and absolute minimum values of the function f(t) = t – VE on the interval…

Q: 3 dx x² +4x+29

Q: (x y – z z + 3) +(y 4 3) = (4 8 16)

Q: х—1 dx х4—1

Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: 7-Vx2+49 lim

Q: etch y %3D csc @, 6 € [-2п,2п]. 4. 3. - -4

A: Given query is to sketch the graph of the function.

Q: 3 dx x²+4x+29

A: We have to find value of given Integral.

Q: If Rita receives $39.24 interest for a deposit earning 6% simple interest for 110 days, what is the…

A: This is a problem related to simple interest. Based on the general formula of simple interest we…

Q: Determine the maximum value of f (x) = 5x – e5x [T:3] on the interval [-1,1] %3D

Q: Find the orginal function of this A Fx) =-1 (B) Frz)= X +1 ニー re Fez) s -x+3 tan x - sec3x

Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx ...........1

Q: Find an equation of the inverse relation. x°y= - 7 Choose the correct equation below. O A. x'y=7 O…

Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: Find the area of the region between the graphs of f(x) = 6x + 8 and g(x) = x² + 3x + 2 over [0, 2].…

Q: b) Find the sum of the series 10" -1 Σ n =1 11"+1 The sum = c) Find the exact partial sum S, of the…

A: We know that in a geometric series, the sum of infinite terms = a1-r and the sum of first n terms =…

Q: R(x)= 1 dt . 76 +4 Use FTC part II to find the derivative of the function

Q: Given the function f(x) =

Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 y + 5 = z +…

A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…

Q: Given the following matrices: 3 3 2 3 1 -3 0 4 1 A = 5 6 3 B= 1 2 C = ;C = 4 0-2 %3D %3D 3 2 -3 -1 2…

Q: xsin-1x V1-x2

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the dimensions of a triangle whose width is four more than six times its height and has an area of 208 square inches.
One side of a rectangle is 2 cm longer than a second side. If the area is 35cm2, find the dimensions of the rectangle.
The distance between opposite corners of a rectangular field is four more than the width of the field. The length of the field is twice its width, Find the distance between the opposite corners. Round to the nearest tenth.
A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing only on three sides. Find the length and width of the plot that will maximize the area.