Question

A fluid has density 870 kg/m^3 and flows with velocity v=zi+y^{2}j+x^{2}k , where x, y, and z are measured in meters and the components of v in meters per second. Find the rate of flow outward through the cylinder x^{2}+y^{2}=16, 0≤ z≤ 3

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Please help me with this question. Thank you!

A: Click to see the answer

Q: In need of calculus help

A: Click to see the answer

Q: If a population is now 7.4 billion people and it continues to grow at an annual rate of 1.4% compoun...

A: A=PertP= Initial population=7.4 billion=7.4×109r= rate =1.4%=1.4100=0.014A=Population after t years=...

Q: Find the exact value, if any, of the following composite function. Do not use a calculator. 5x sin S...

A: Click to see the answer

Q: 12 I+(-1'] = i=1

A: Click to see the answer

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: Given: y=sin(x), y=5x, x=pi/2, x=pi

Q: Use the diagram below to answer the following questions. Assume that all of the angles are equal and...

A: Given From the given figure, 12 lines are divided into equal angles. It is known that total around a...

Q: Find f. f ''(x) = 4 − 6x − 40x3, f(0) = 3, f '(0) = 2

A: Click to see the answer

Q: 40 (a) Evaluate the integral: / da x2 + 4 Your answer should be in the form kT, where k is an intege...

A: Hey, since there are multiple subparts posted, we will answer the first question. If you want any sp...

Q: Solve the equation. 2 sin 20-3 sin 0+1 =0 What is the solution in the interval 0s0<2x? Select the co...

A: Click to see the answer

Q: Find the exact value, if any, of the following composite function. Do not use a calculator. 11x tan ...

A: Click to see the answer

Q: In need of calculus help

A: Click to see the answer

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 (x° + 7 y) dx - xdy ...

A: Click to see the answer

Q: 14.

A: Click to see the answer

Q: In need of calculus help

A: First rationalisation the given function and then apply trigonometric identities.

Q: 7. Find derivative and simplify

A: Click to see the answer

Q: Given that the continuous functionf:R R satisfies I f (2) da = n, find the exact value of 'ㅜ1/6 25 f...

A: Click to see the answer

Q: f(x) = ex²-4x+1_ a) Determine where the function is increasing or decreasing. b) Find the relative e...

A: Given information: fx=ex2-4x+1 To find the function is increasing or decreasing, first, find the cri...

Q: Find the zeros of the polynomial function. State the multiplicity of each zero. (Enter your answers ...

A: Given : Px = x3 - 16x

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with ...

A: Consider the given marginal-demand function, D'x=-4000x2 Therefore, the demand function will be: Dx=...

Q: For f(x) = x − 4 1 + x 2 + tan−1 x, find all characteristics listed below. Do not find the x-interce...

A: Since you have posted questions with multiple subparts we will solve the first three subparts for yo...

Q: The possible error involved in measuring each dimension of a right circular cone is + inch. The radi...

A: Click to see the answer

Q: Find the Maclaurin series of x 28 Σ n=0

A: Given, f(x)=x8ex9

Q: Consider the following. u = i + V7j, v = -/7i+j (a) Find u v. u V = (b) Find the angle between u and...

A: Click to see the answer

Q: For dt, use a change of variables to evaluate the definite integral.

A: Click to see the answer

Q: In need of calculus help

A: Click to see the answer

Q: For find the indefinite integral using appropriate substitutions. 25+16z

A: Click to see the answer

Q: Solve

A: Click to see the answer

Q: 7.The two acute angles of a right triangle are labeled θ and β. The side of the triangle across fro...

A: Click to see the answer

Q: Find the exact value, if any, of the following composite function. Do not use a calculator. cos cos

A: Given, coscos-145

Q: For the given cost and demand functions, find the production level that will maximize profit. (Round...

A: you can clearly understand if you follow the below solution production level that will maximize pr...

Q: Find the radius of convergence, R, of the series. (x + 7)" 3" n- 1 R = 1 Find the interval, I, of co...

A: consider the power series ∑n=0∞cnx-an suppose that the limit limn→∞cn+1cn exists or is ∞ Then the r...

Q: In need of calculus help

A: givenz1=5+5iz2=-5+5iz1z2=(5+5i)(-5+5i)=-25+25i-25i+25i2=-25+25(-1)since i2=-1z1z2=-50+0i

Q: Calculus Question

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: On a hot summer afternoon, a city's electricity consumption is −3t2 + 14t + 10 units per hour, wher...

A: Click to see the answer

Q: please help the asnwers I got were wrong

A: (a) Given: The cost of producing x copies of an edition is given by, Cx=40+0.10x+0.001x2. The invest...

Q: Using the function below, find the following. If an asymptote does not exist, type DNE in the unneed...

A: Given, f(x)=7ex36-ex

Q: Find the exact value of the trigonometric function. (If an answer is undefined, enter UNDEFINED.) cs...

A: Given, csc(300o) = ? we have the formula csc(360o - x) = -csc x

Q: A car-detailing service estimates that its daily cost of waxing q cars is C(q) = 0.04q2 + 37q + 350...

A: Click to see the answer

Q: Use a calculator to find the value in radians of the following expression rounded to two decimal pla...

A: Click to see the answer

Q: Consider the following. u = (-5, 5), v = (1, –1) (a) Find u · V. u V = (b) Find the angle between u ...

A: Click to see the answer

Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is th...

A: The figure is and solution is shown in step. 2

Q: Evaluate the definite integral. (Assume a > 0.) 'a²/5 x*Va? - x5 dx

A: Click to see the answer

Q: 1. Find the first four terms and the 100th term of the sequence. an=5/n^2 2. Find the first four ter...

A: We are solving the first question and for the next questions post the question again and also mentio...

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) sin...

A: Click to see the answer

Q: 4. Let h(x) = 4x2-3x+5 %3D 5x2+5x-10 4.1. Find equations for any horizontal asymptotes to y = h(x). ...

A: Click to see the answer

Q: Use the Pythagorean Theorem to find the length of the missing side.Then find the indicated trigonome...

A: Obtain the length of the missing side as shown below: AB2=BC2+AC2AB2=32+102AB2=9+100AB2=109AB=109