Left on together, the cold and hot water faucets of a certain bathtub take 6 minutes to fill the tub. If it takes the cold water faucet 18 minutes to fill the tub by itself, how long will it take the hot water faucet to fill the tub on its own? Do not do any rounding. minutes

Q: Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2

A: Solution of question is written in below steps.

Q: 4. Find the indicated higher-order derivative of the given functions. d'y а. у %3D 8е* + sin x; dx7…

A:

Q: Application Section. 16. Consider the bottom half of the ellipse: y =V40 – 4x2 , which has…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A:

Q: Find a solution to the SDE dX = X,(ydX;+ tdt), where y E R is a constant and Xo = 1. %3D

A: This is a problem of differential equation. Based on the variable separation method we will solve…

Q: A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions…

A: An algebraic word problem is given. We have to solve it. To solve the problem, we will form an…

Q: (D3 – 3D – 2)y = 100 sin 2x |

A: Given

Q: 1 19. x(x² + 1)

A: Solving the problem by finding the partial fraction decomposition.

Q: f (x,y) = 2x^3 + y^2 - 9x^2 - 4y + 12x +1028. Find all critical points of f. For each critical…

A:

Q: () Write the linear system in matrix form. Assume X = dx 3D —Зх + 5у - 92 dt dy dt 4x — У dz 10x +…

A:

Q: 12. The terminal point P(x,y) determined by an angle t (a) cos (t) (b) tan (t)

A:

Q: Answer all questions in the space provided. Show ALL your steps in your calculations. Answer in…

A: Remember  that if f'(x) = 0 at x=c then c is the critical point of f(x) and if f''(c) > 0 then it…

Q: Describe the given region in polar coordinates.

A: Let's find.

Q: What constant acceleration (in ft/s2) is required to increase the speed of a car from 30 mi/h to 58…

A:

Q: var mysql require('mysql'); var con = mysql.createConnection({ host: "localhost", user:…

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A:

Q: use residues to evaluate thedefine utral de

A:

Q: 2 sin? x lim х-0 5x(1+сos x)

A: Let L=limx→ 02sin2x5x1+cosxlimx→ac·fx=c·limx→afxL=25limx→ 0sin2xx1+cosxPlug in the value…

Q: function / (t) = - 0.2t +3t +100 for 0 sts9 gives the CPI of an economy, where t = 0 corresponds to…

A:

Q: 4. In geometric series, the first term is 20 and the fourth term is Find the sum, S of the first n…

A:

Q: x2+2x-8 ƒ (x) = x+3 Hole: VA: НА:

A:

Q: 1. Evaluate the double integral ty dA, where R is the region in ry-plane between the circles of…

A: Given problem:-

Q: Find dy/dx of the following function

A:

Q: An identity matrix is represented by.... а. Нн-1 b. HH-1H O c. H-1H

A: Given problem:-

Q: if t<B if t 2B -2t + 1 Given the function h(t) = {t² +1 . Determine one value for ß for which the…

A:

Q: 2х — 5 -dx х — 1)3 x(x

A: To evaluate the given improper integral.

Q: ALL of the following are not types of functions except. а. one - to - many b. many - to - one c.…

A:

Q: A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide…

A: Given that a farmer wants to fence an area of 37.5 million square feet in a rectangular field and…

Q: Determine whether the integral is convergent or divergent. 4 dz z2 + 6z + 5 convergent O divergent…

A:

Q: Consider the following. u = -6i - 2j - 4k, v = 2j + 2k (a) Find the projection of u onto v. 0, - 3,…

A: As we know that; The expression for the the vector projection u onto v is: projvu=u·vv2v And The…

Q: f(x) =x° – cos(x) Solve this question by X the Bisection method on the topic of solutior of…

A: given f(x)=x3-cos(x)

Q: 6. Find the dimensions of a rectangle with an area of 225 cm’, whose perimeter is as small as…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use l'Hôpital's Rule to find the following limit. 5 sin (x) - 5x lim 2x3

A:

Q: a) ū =(4,8,2) and v = (1,4,6) %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3. Give a formula for a two-dimensional vector field with both of the following properties: All…

A: 3.Give a formula for a two dimensional vector field with both of the following properties:- Solution…

Q: Find the volume of the region bounded above by the surfacez=9- y2 and below by the rectangle R:…

A:

Q: V3 1) tan 3 cos¯1 –1 -1 2) cos-1 | 3) sin- 0 4) tan-' (-V3) 5) tan- 6) sin- 7) cos 2 8) tan- –1

A: tan-133

Q: 4-ス しx-x2 しim

A: limx→164-x16x-x2Apply L-Hospital

Q: For the periodic function: f(w)={--1 0<a<1 1 -1<x <0 x -1 0<x <1 Determine: 1. Is it Odd, Even, or…

A: Given

Q: Find the average height of the paraboloid z =X+y¯ over the square 0sxS1,0sys1. The average height…

A: Given problem:- Find the average height of the paraboloid z =x2+ y2 over the square 0≤x≤ 1, 0≤ y≤ 1

Q: The differential equation y" + 4y + 4y 0 has two solutions yı = e-2x and y2 = xe-2x. Which of the…

A:

Q: A 2-ft-high and 5-ft-wide r

A: answer is in next step

Q: Activity 1.3.3. A water balloon is tossed vertically in the air from a window. The balloon's height…

A: graph of s(t) = -16t² + 16t+32.

Q: 1. А. 0.5 6 4 -2 2. 4 2. В. 2. 6 -2 Jo 2 -2 1 C. 10- 8- 6- 4- 2- 6. 10 e D. 15 10 -5 -10 -15 15 -10…

A: To match the graphs of the rectangular form and polar form.

Q: ーX f(x) =x+ e

A:

Q: At the start of 2010, an online social group had 360 million members. Subsequently, new members…

A:

Q: Test the series below for convergence using the Ratio Test. 57 n! n=1 The limit of the ratio test…

A:

Q: 4 dx x2 4x2 - -- x2

A: