The radius of a right circular cylinder is given by √t+ 9 and its height is √t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. in ³/s Need Help? Read It

Q: What is the coefficient of x squared in the expansion of (see attached image)

A:

Q: Make the u-substitution 2 sin x = 2u 1+u²' COS X 1- u² 1+ u² and dx = du 1+u² to convert the…

A: Using substitution evaluate integral

Q: L Matching Type. Match the functions in Column A with their corresponding derivatives in Column B.…

A:

Q: 5.Express this model of an electric circuit d² y dy +6¹ +5y=sin10t, y(0)= 0, y'(0) = 1 dt² dt As a…

A: First I have introduced two functions and then find pair of first order differential to the given…

Q: Question (3): Test for exactness and solve the following 1st order linear ODE: (a + 1)y + (b + 1)x…

A:

Q: Find the slope and x-intercept of the graph of the equation. 3x-y=9 The slope is (Type an integer or…

A:

Q: A. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e at y(0)=1 and y (0)=2

A:

Q: State the order of the given ordinary differential equation. (1-x)y" 5xy' + 7y = cos x Determine…

A:

Q: Use finite approximations to estimate the area under the graph of the function f(x)=8-x-2x between x…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Evaluate √16-x² dx

A: ∫16-x2dx

Q: Use interval notation to write the solution set of the following inequality. x²-3x>0 What is the…

A:

Q: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = −2

A:

Q: Write an equation for a rational function with following properties. Assume the multiplicity of each…

A: Vertical Asymptotes:- The  point where the denominator of a rational function becomes…

Q: A. Find the determonant of the matrix A = 1 2 1 -21 -1 -2 -1 4 2 1 3 1 3 2 L-2 1 2 -3-

A:

Q: Q4. Evaluate the following limits. 1) 2x+y-4 lim (x,y)-(1,2) √√2x+y-2 x²y-xy² lim (x,y)-(1,1) x2-y²…

A: Here given that a limit problem and we solve this problem by using general property of limit.   Here…

Q: Find the area bounded by the graphs of y = cos x and y = x² y=x² y = cos x + X

A:

Q: Solve the initial value problem. 1. y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

A:

Q: 1. Given that a right triangle has sin 0 = 0.5. Find another two sides of length if hypotenuse…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0 (x + h)3 −…

A: The given limit,      limh→0x+h3-x3h

Q: Evaluate the integrat. Sa dx су-хууг dx

A: Given :∫14-x22dx

Q: 2. -) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the…

A: Let's find equation of tangent plane and parametric equations of normal line.

Q: a) b) √ (x² + 2x) dx x+2 I X2 S dx √x

A:

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: See the details solution in below

Q: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

A: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

Q: Use limits to identify all the linear asymptotes of r³ - 3x - 1 x² f(x) = 2x² +1 x² + 2x +1' x < 0 x…

A:

Q: The table below shows a recent state income tax schedule for individuals filing a return. SINGLE,…

A: x% of amount y  is equal to x100×y=xy100 see below the construction of the function

Q: Graph the equation in a rectangular coordinate system. y = 3x-8 Use the graphing tool to graph the…

A:

Q: D D ▷ TEXA fex) (2k- x 1 Fx k evaluate lim Can you choose Parameter k proper value for k x21 x < 1 a…

A:

Q: 3 4-x 3 it (x₁ + ³x) ₁ find the slope of the secant line PQ (correct to six decimal places) for the…

A:

Q: Evaluate the iterated integral. In6 In2 S." " exty dydx = Mi In6 In2 etty dydx

A: Topic = Integration

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A:

Q: Q5. Show that the following limits don't exist. x² 1) lim (x,y) (0,0) x2+y x-y 2) lim (x,y) (0,0)…

A:

Q: Determine whether the integral is improper. +∞0 (x+3)-1/3 dx -∞0 O Improper O Not improper

A: Topic = Integartion Improper

Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $11 the…

A:

Q: WHich of the following represents the shell height if the shell method will be used to find the…

A:

Q: Write down the first five terms of the expansion of (1 + 3x)²/½/2 for /x/ < =//=

A:

Q: evalutate the integral from 0 to pi/6 sin^3(x)/cos(x) dx

A:

Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: Use the graph of g to find the value of each expression. (If an answer does not exist, enter DNE. y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2 Find [f(x) + 2g(x)]dx if [f(x)]dx = 5 and 1 [g(x)]dx = -3. 1) In order to evaluate this integral,…

A:

Q: (A) Find the slope of the line that passes through the given points. (B) Find the point-slope form…

A: Solution

Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

A:

Q: Problem 1. (a) Show that fi(x) = log(3x² + 5) is O(log x). Find the witnesses C and k explicitly.…

A: Concept: We have  f1(x)=log(3x4+5) is O(logx) that is it is the function of log(x)…

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: If f(x)=(x2+5x+8)4f(x)=(x2+5x+8)4, then f'(x)f′(x) =    f'(1)f′(1) =

A: The objective of the question is determine the derivative of the given function at x=1

Q: Sketch the graph of a function f that is continuous except for the stated values(s). Discontinuous,…

A: The function is discontinuous at x=3 and right continuous at x=3

Q: Q) Using the properties of logarithms, find the derivative of the following function (x²-1) √x + 1 y…

A: By using the properties of logarithms, to find the derivative of the following…

Q: hand written plz A quantity V with magnitude V 6, 680 was measured to 4 significant figures. Give an…

A:

Q: 4.[(5x³ 5.Ĵ(6x² − 2x² +4x)dx − 3x+1)dx

A: Topic = Derivative