Determine if the improper integral is convergent or divergent, and calculate its value if it is convergent. 9x 9e dx Calculate the value of the improper integral. Select the correct choice below and, if necessary, fill in the answer box to complete y 00 DA. [₁.-"&x=|| Js 9x xdx= 0 OB. The improper integral diverges.

Q: Q4. Evaluate : O (xy²) dx dy -√1-(x-1)²

A:

Q: (a) Solve the first order linear ordinary differential equation x sin x + (sin x + x cos x) y = xe…

A: As per bartleby guidelines we only give first question answers.

Q: 1. f³₂ (x² − 3) dx -2

A: Given :∫-23x2-3dx

Q: 1 - ₁ - £x² = 1 + x + x² + X x=0 +++1-23-²² 3! sin x-(-1). cos x=(-1)- -(-1*- 1 - 2 + 1 - 4 - =…

A:

Q: First the pieces: End result (in terms of just t): dt 江 西 | Use the chain rule to find where 11 z =…

A: if z is function of x and y. Also x and y are of function t then derivative of z w.r.t "t"  is…

Q: Find the linear approximation of the function g(x) = 1 + x at a = 0. g(x) * Use it to approximate…

A:

Q: Solve the equation: (D² - 1) y = 0 Oy=c₁e* + c₂xe* + c3 cos x + c4 sinx Oy=c₁e¹* + c₂e + c3 cos x +…

A: A detailed solution is given below.

Q: What is the exact value of sin(255°) +sin(195°)? Show your work for full credit.

A:

Q: Given f(x) = x^5 * cos x, dx= 0.01, use numerical differentiation to find: (1) df/dx for this…

A: Concept: The formula for the differentiation of the product of two function Let the two functions be…

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A:

Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1

A: Solution:

Q: 12. Find the equation of the tangent line to the polar curve r = 2-sin(0) at 0 = 1/3. Draw.

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q2: find the Laplace of the following functions: a- f(x) = (cosw, for 0<t< (o for,=<t<² 0

A: If ft is a periodic function with period T, then        Lft=11-e-sT∫0Tft e-sT dt So,…

Q: A real estate firm estimates that the value of a certain property will be given by the function V…

A:

Q: 4. In order to study the population distribution of a certain species of insect, a biologist has…

A:

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: 1 x² + y² = 4

A: Given: 1x2+y2=4

Q: Life expectancy in the United States has been rising since the nineteenth century. The table shows…

A:

Q: Find the volume of the parallelepiped determined by vectors , and

A: Find the volume of the parallelepiped determined by vectors &lt;3,1,4&gt;, &lt;2,0,2&gt; and…

Q: 1 вхось xа(1 — x)bdx - = 6xº1 Bx®1 - x)dx /0

A:

Q: 5. ft² √1-1³ dt 6. J (2x+3) dx (x²+3x-6)⁹

A: We have to evaluate the integrals.

Q: 3. A farmer applies x tons of fertilizer and y tons of pesticide to a crop, the yiled will be f(x,…

A:

Q: Evaluate SSA, dA, where R is the region bounded by y=x2 and x = y² in the first quadrant. X

A:

Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

A:

Q: An equation of a hyperbola is given. 7²-2=1 (a) Find the vertices, foci, and asymptotes of the…

A:

Q: It is projected that the population of a certain town will be P(t) = 2t+4+³/2 + 5000 where P(t) is…

A: Rate of increase of population=P(9)-P(0)9-0

Q: cos (+h)-cos(3) COS h I {+h)- - 3 3 h 3. Evaluate lim →(7/3) COS 4. Evaluate lim ₁0 π Cos

A:

Q: Evaluate the following limit, if possible. If the limit c 4 lim 42-√√

A:

Q: Suppose that x units of one input and y units of a second input result in P = 55x + 65y = x² - y² -…

A:

Q: You deposit $2000 in an account with 3% annual compound interest. Complete the following, assuming…

A:

Q: With a curve 56 3 17 x² + y = 6, y = x, y = -2 and x = -2. . Determine its area.

A:

Q: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: p= I.F. = e/P(x) dx Now solve (I.F.) y = f (I.F.) - Q(x) dx 9. Solve the linear ODE using an…

A:

Q: A company manufactures two products, A and B. If x is the number of thousands of units of A and y is…

A:

Q: Determine whether each of the following functions is (a) continuous (b) differentiable. 12.…

A: We know that every polynomial function is continuous and differentiable. If a function is not…

Q: Solve the equation: (D² - 4) (D+2) y = 0 Oy=c₁e²x + c₂x²x + c3e-²x Oy=ce+exe + c3e

A: To solve the given differential equation.

Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

A:

Q: The cost, in thousands of dollars, of airing X 30-second television commercials during a Super Bowl…

A: Note:- These are multiple sub parts question and according to our company guideline we can do…

Q: 3. How much work does it take to pump the water in a full tank to 2 ft above the tank in the…

A:

Q: tan x 4. f dx csc x sec (In x)dx 5. X dx 6. f 1- cos 2x

A: I have stated the used formulas in the solution

Q: Convert the rectangular equation x2 = −2y2 + 5x2 y2 to polar equation

A: The rectangular equation is x2=-2y2+5x2y2

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

A: In this question, we want to differentiate the given expression implicitly.

Q: Find the area of are a the region i) Sketch the ii) Determine the boundarien iii.) set-up the…

A:

Q: 1. Let I 1+x==(-0" x² n=0 Find a power series representation for convergence of L 1+3x²

A: As per bartleby guidelines we only give first question answers.

Q: ular bird sanctuary with one side along a straight river is to be constructed so that it contains 72…

A: Please refer to the image below

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Given :Hight of a ball in t isf(t)=-16t2+374t+15

Q: The weekly investment report shows each company's stocks with its high bid, low bid, closing bid…

A:

Q: You are tasked with designing a cylindrical can. The material for the top and bottom of the can…

A: This question can be solved using the concept of maxima and minima.

Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

A: