Math

CalculusQ&A LibraryAt the surface of the ocean, the water pressure is the same as the air pressure above the water, 15 lbyin2. Below the surface, the water pressure increases by 4.34 lbyin2 for every 10 ft of descent.(a) Express the water pressure as a function of the depth below the ocean surface.(b) At what depth is the pressure 100 lbyin2 ?Start your trial now! First week only $4.99!*arrow_forward*

Question

At the surface of the ocean, the water pressure is the same as the air pressure above the water, 15 lbyin^{2}. Below the surface, the water pressure increases by 4.34 lbyin^{2 }for every 10 ft of descent.

(a) Express the water pressure as a function of the depth below the ocean surface.

(b) At what depth is the pressure 100 lbyin^{2} ?

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: b) The following table gives the values of mean and variance of heights and weights of the 10th stan...

A: Mean and variance of the heights and weights of the 10th standard of a school are given.

Q: LC6Q 6) Find the down payment and the amount financed for a home that sells for OMR 87000. The down ...

A: Calculate the percentage and than substract from total amount.

Q: Do number 23

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

Q: Let P(2,1,5), Q(-1,3,4) and R(3,0,6) be points. Which of the following is the area of the triangle P...

A: Topic - area of traingle in 3D

Q: By sketching the graphs, find the area of the region bounded by, x = /y,y x + 6 and x = 0

A: Click to see the answer

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x – 1 lim x- -0 x2 + 5

A: Click to see the answer

Q: Find the maximum value of f(x,y,z)=27x+7y+3z on the sphere x2+y2+z2=81

A: For this question we will use Lagrange multipliers where f(x,y,z)=given function and g(x,y,z)=equati...

Q: f(x) = 3 x-4 x-12 x²+1, has local maximum at x= .A .B -2 .C 2 .D

A: Given : f(x) = 3x4 - 4x3 - 12x2 + 1

Q: Which of the following is the power series representation of f(x) (1-2)² ? O a. E, 2"(n + 1)x"+2 O b...

A: Click to see the answer

Q: ind the maximum value of f(x,Y,z)=9x+14y+29z on the sphere x2+y2+z²=25

A: Click to see the answer

Q: Which of the followings are false? 1 1. En-1 sin-| converges by comparing with 2 II. En-1 converges ...

A: Click to see the answer

Q: Let us Practicel Directions: Write true if the statement is conect and false if it is not 1 All rect...

A: 1. All rectangles are parallelograms. 2. All rectangles are squares. 3. All rhombuses are squares 4....

Q: Which of the following are false? I. If a series is absolutely convergent then it is convergent. II....

A: Click to see the answer

Q: Verify the Mean value Theorem for the function f(x) = 2x2 - 8z +6 on [1, 3]

A: f(x)=2x2-8x+6 on [1,3] conditions of mean value theorem: i) f(x) is continuous at (a,b) ii) f(x) is...

Q: Let a = -2i +5kand b 2i - 7j+k then what is a. b =? %3D

A: Click to see the answer

Q: If f (x) = 1(1- 2), then the critical points of the function f(x) are O a. T = 0 O b. = 0,-2 O C. No...

A: Click to see the answer

Q: Which of the followings are convergent series? 5+2" 1. En=1 2"12 n=1 4n²-1 III. En=1 |(sin1)" ν. Σ o...

A: ∑n=1∞ 5+2n2n+2Let un=5+2n2n+2un+1=5+2n+12n+1+2=5+2n+12n+3unun+1=5+2n2n+25+2n+12n+3 =2(5+2n)(5+2n+1)C...

Q: Which of the following is the interval of convergence of the series (3z–2)" n3" Ln=1 O a. (-1/3,5/3)...

A: Click to see the answer

Q: Which of the followings are divergent series? I. in2 in3 in4 in5 In6 In? II. E (-1)* n3D1 n*+1 II. E...

A: Click to see the answer

Q: The value of f -csc(3x)cot(3x)dx is

A: We have to find integral in this question.

Q: Let u, v, w be vectors. Which of the followings are meaningful? (Hint: The notation x means cross pr...

A: Click to see the answer

Q: Solve yy" +(y')' = y. (Independent variable is missing).

A: Click to see the answer

Q: dy Find dx for the function y = ecotx

A: We want to find the derivative of the given function. y=ecotx Here we apply chain rule of differe...

Q: The magnitude of an earthquake, measured on the Richter scale, is log 107, where / is the amplitude ...

A: Click to see the answer

Q: Solve it in all steps

A: Click to see the answer

Q: If f(x)dx = +, then f(x)dr is a. –1/4 оБ. 1/4 O C. 4 O d.-4 O e. None

A: ∫35f(x) dx=-∫53f(x)dx

Q: Change from rectangular to cylindrical coordinates. (Let r2 0 and 0 s 0 s 2n.) (a) (-1, 1, 1) (b) (-...

A: The solution of both the problems is given below. r=√(x^2+y^2)

Q: Let P(2,1,5), Q(-1,3,4) and R(3,0,6) be points. Which of the following is the area of the triangle P...

A: Click to see the answer

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).

A: Explanation: Given that, f''(x)=sinxf'(0)=1f(0)=6 Concept Used:

Q: Which of the following is the volume of the parallelepiped determined by the vectors u=i+j-k, v=i-j+...

A: Volume of parallelopipe

Q: The function f(x) = x-3 x+ 12 is one-to-one. For the function, a. Find an equation for f(x), the inv...

A: To find the inverse of the function, follow four steps. Replace f(x) with y. Interchange x with y a...

Q: Which of the followings are divergent series? 542" 1. E 00 2+2 00 1 n-1 4n2-1 μ1. Σ ( sin 1 )" 00 n3...

A: Option (b) is correct.

Q: -2x The value of fe 2 dx is a. None -2x b. e -2 + C c. – 2e-2a + C o d. E +C -2x e. 2e-2a + C

A: Click to see the answer

Q: Which of the following is the interval of convergence of the series 2)? Ln=1 O a. IR O b. {0} O c. [...

A: Click to see the answer

Q: 38

A: Parametric equation of the line passing through points(1,2,3) and Parallel to vector = 2i -3j -4k

Q: Convergent or divergent E • In

A: Click to see the answer

Q: Find the values of p for which the integral converges. (Enter your answer as an inequality.) 37 xp I...

A: Click to see the answer

Q: Evaluate f 6x/x4 + 5dx.

A: Find the integral by using substitution method

Q: How can I get 31 from 30?

A: Click to see the answer

Q: pls, help me. thank you so much!

A: Evaluate the following:∫dx2-5x

Q: If s(t) = 2t- 15t2+36t- 1Orepresents the position of a particle travelling along horizontal line. Fi...

A: Follow the steps carefully to get the answer.

Q: 1 converges? 00 For what values of p does the series n-2 nPlnn

A: we have to check convergent for p

Q: 13

A: Click to see the answer

Q: Use the second derivative test to find the extreme values of the function f(x) = 13 -3z2-24x

A: Given: f(x)=x3-3x2-24x To find the extreme value of the function.

Q: Which of the following are false? I. If a series is absolutely convergent then it is convergent. II....

A: Click to see the answer

Q: Which of the followings are false? I. General term of {2,3,2,3,...} is an =;+(-)". . General term of...

A: The details solution is given bellow.

Q: Find the value of "k", given that the following function f() is continuous at z = 3 %3D 2-6x+8, ka? ...

A: For a being a function continuous its left hand limit , right hand limit and value of the function a...

Q: Which of the following is the power series representation of dr? (14z) O a. C+En 0 7n+1 O b.C+Eo(-1)...

A: Click to see the answer

Q: Find the point on the sphere x²+y²+z²=4489 that is farthest from the point (18,-20,18).

A: Click to see the answer

Q: If f(x,y,z)=ln(x2y+sin2(x+y))+227x228y2z229, then ∂4f ∂x2∂y∂z at (1,1,1) is equal to

A: Click to see the answer