Math

CalculusQ&A LibraryThe City Council proposed to utilize a government-owned land with an area of 21,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following: 1. the dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway.Start your trial now! First week only $4.99!*arrow_forward*

Question

1 Rating

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Solve by completing the square. 10x-4%3D0

A: Given Data Expression: x2-10x-4=0 The general quadratic equation is, x2+bx=c From both above equ...

Q: Determine whether each point lies on the line. x = −3 + t, y = 3t, z = 4 + t (a) (0, 9, 7) ...

A: If the points lies on the line then points should satisfy the given equation of the line.

Q: A die is rolled. Find the probability of getting a number greater than 4.

A: when a die is rolled we have to find the probability of getting a number greater than 4.

Q: Evaluate the following limit. Use l’Hôpital’s Rule when it is convenient and applicable.

A: L'Hospital rule: If limx→af(x)g(x)=00 Indeterminant formThenlimx→af(x)g(x)=limx→addxf(x)ddxg...

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A: Click to see the answer

Q: Jane took 10 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in...

A: Let us assume that, x km/h=speed of the boat in still water. Given that the speed of the current is ...

Q: Hi, need a step by step break down please

A: Click to see the answer

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

A: Click to see the answer

Q: Given that f(x)=√(6x−15)+10 where f(x)=y, define a function rule for f^−1. Given that g(x)=(4x+9)/(x...

A: f(x)=6x-15+10 To find out inverse , first we replace f(x) by y y=6x-15+10solve for xSubtract 10 from...

Q: What annual rate of interest would you have to earn on an investment of $3500 to ensure receiving $2...

A: According to the question, we have to find the interest rate on an investment of $3500 to ensure rec...

Q: For each of the following, make use of the product rule in finding the derivative of the dependent v...

A: Given, y=(x2-2x+3)(2x2+13x-6)(3x2-4x+1)

Q: Hi, need a step by step break down please

A: Consider y=f(x)=−6x+2

Q: Let f: [a, b]→R be a non-negative function and so that C ≤ f(x)for all x ∈ [a, b], where C ∈ R is a ...

A: we have been given the mapping from f: [a,b]→R and is a non-negative function s.t C≤f(x) ∀x where C...

Q: pls need this question from A-G

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you ar...

Q: Consider the following. u = <4, −1, 0> v = <−4, 5, 0> Find u ✕ v. Determine if u ✕ v ...

A: Click to see the answer

Q: If ƒ(1) = 5, must limxS1 ƒ(x) exist? If it does, then must limxS1 ƒ(x) = 5? Can we conclude anything...

A: A function f(x) is said to be continuous at a point x = a, in its domain if the following three cond...

Q: The City Council proposed to utilize a government-owned land with an area of 9,600 square meters. On...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Sketch the graphs of y = x and y = tan x.

A: Given y=x and y = tanx

Q: Can i get help with problem?

A: From the graph, we see that at x=4 there is no discontinuity. This means f(x) is continuous at x=4. ...

Q: Two cars are approaching an intersection on roads that are perpendicular to each other. Car A is nor...

A: Click to see the answer

Q: The bar graph shows the wage gap for selected years from 1980 through 2010.The function G(x) = -0.01...

A: Gx=-0.01x2+x+60 a). Put x = 30 in G(x), we get G30=-0.01302+30+60=81 Hence the percentage of wage ga...

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: The direction ratio of the given line is (4,1,-8) Given that the plane is perpendicular to the line....

Q: Solve the rational in euali ty 81 What is Solution Set

A: Solution is given below

Q: Find u × v, v × u, and v × v. u = <1, −9, 6> v = <−2, 3, −7> (a) u × v (b...

A: The two vectors a→=⟨a1,a2,a3⟩and b→=⟨b1,b2,b3⟩, then the cross product is given by the formula, a→×...

Q: Find the magnitude and direction (in degrees) of the vector, assuming 0 ≤ θ < 360. (Round the dir...

A: V = <−8, 15> Magnitude, | V | = ? Direction, θ = ?

Q: Can i get help with problem?

A: Click to see the answer

Q: What is the functional form of the particular solution y"+ 4 +4y = te-24 OY = (At? + Bt +C) e-* OY =...

A: Given: We have the 2nd order non-homogeneous linear differential equation: y''+4y'+4y=t2e-2t...........

Q: Determine the value of k such that f(x) = 4x - kx has a horizontal tangent at x = -1. %3D A 2 В -8 с...

A: Given Data The function is fx=4x2-kx. The horizontal tangent is x=-1. Differentiate the function f...

Q: Question 2 What is the functional form of the particular solution V +y = sin(2t) + sin t Oy- At sin(...

A: consider the equation y2+y=sin2t+sint

Q: 4. A rock thrown vertically upward from the surface of the moon reaches a height of h = 8t – 0.8t2 m...

A: Click to see the answer

Q: Solve the initial value problems for y as a functionof x. (x2 + 4) dy/dx = 3, y(2) = 0

A: Given Data : Differential Equation x2+4dydx=3, y2=0 1 The given initial value p...

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, ent...

A: Click to see the answer

Q: This is problem 48 Section 7.3 page 447. Evaluate the given integral. 1 Vx2 + 8x + 3

A: Click to see the answer

Q: A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After ...

A: a) Let y(t) be the number of cells at time t, measured in hours. We assume that y(t) grows exponenti...

Q: derivative of f(x)= arcsin(3x^2)arccsc(2x^3)

A: Click to see the answer

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] h(x) = 7/ x − 2/ ...

A: The given function hx=7x-2x3+1x4 =7x-1-2x-3+x-4 Differentiate with respect to x using the formu...

Q: 10. If f (x) = 2x(1+In(2x)), and f'(c) = 6, find c.

A: Given function is fx=2x1+ln2x. Product rule of differentiation states that: ddxuv=vddxu+uddxv Differ...

Q: Need help with number one, thank you!

A: Click to see the answer

Q: 25+64

A: given the two numbers 25 and 64 we need to find the sum of two numbers that is 25+64=?

Q: Calculus Question

A: a) At t=0, distance=0 miles At t=1, distance= 12 miles So the average speed in the time interval [0,...

Q: A city that had 7000 thousand people at the beginning of the year 2000 has been decreasing by 3.2% p...

A: there are 7000 people at the beginning of the year 2000 the population decreased by 3.2% every year ...

Q: A bowl contains 16 chips, of which 6 are red, 7 are white, and 3 are blue. Iffour chips are taken at...

A: A bowl contains 16 chips, of which 6 are red, 7 are white, and 3 are blue. If four chips are taken a...

Q: Can i get help with problem?

A: The condition of continues function is, limx→a+fa=limx→a-fa=fa For limit of function from the righ...

Q: Expand the expression using the binomial theorem. (x + 3)5 (x + 3)° =D

A: consider the equation x+35

Q: Find a set of parametric equations of the line that passes through the point (5, 6, 7) and is par...

A: The given point is (5,6,7). to find the set of parametric equations of line passing through the give...