7. Evaluate I = S ads, where S is the part of the plane x+y+z = a lying in the first octant.

Q: Determine whether the series Σ=1 (Limit Comparison Test) 2n²+3n √5+n5 converges or diverges.

A: Given :∑n=1∞2n2+3n5+n5

Q: Let f be a function defined for t 2 0. Then the integral {f(t)} =[e-stf(t) dt is said to be the…

A: We need to find Laplace.

Q: Equations of the form r=a sin (m0) or r= a cos (m0), where a is a real number and m is a positive…

A:

Q: The area of the region to the left of the parabola x=2y^2, to the right of the y-axis, and between…

A:

Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: We have to find the rate at which water level is rising.

Q: Use linear approximation, i.e. the tangent line, to approximate Let f(x) = x. The equation of the…

A:

Q: Find the area of the region inside the inner loop of the limaçon r= 1 + 2 cos 0.

A:

Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: 1. Calculate the following unknown quantities. (a) P= (kx 1000), r= 1.2%, t= Find S.

A: As per the rules we can answer only first question and rest can be reposted.

Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

A:

Q: Which of the following functions are solutions of the differential equation y" - xy + y=0? Oy=1-22…

A:

Q: Fill in the blank. (Enter your answer in terms of t.) 1 e-{2}- L²s² + n²π² 2_2

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: inverse laplace transform

Q: area is given by the function x^0.5+y^0.5=1

A: We have to find the area of given function.

Q: 6. Use an integrating factor to solve the following first order differential equation (x² + 1) + xy…

A:

Q: The function f(x) = = The smaller one is x = 2x³36x² + 192x - 1 has two critical numbers. and the…

A: The given function fx=2x3-36x2+192x-1

Q: 1. Choose a solution to the differential equation y" - y = x²e² + 5.

A:

Q: Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to…

A: To use alternating series remainder theorem to determine the smallest number of terms required to…

Q: Question iven f(x) below, find f'(x). rovide your answer below: f'(x) = f(x) = - Scot ² COS t³ dt…

A: We have to find derivative

Q: Sketch a graph of the polar equation. 3 2+3 cos 0

A: The given polar curve r=32cosθ

Q: Solve the differential equation y'=1+5y subject to the initial condition y(0)=1. From your solution,…

A:

Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

A:

Q: 1. Solve the Question Integral Sub Parts 1 A-C [cos¯¹x{√√(1-x²)}]¯¹ sin 2x (1-x2) A.S. log 1+ IL B.…

A: Disclaimer: since you have asked multiple question , we will only first for you.if you wants to be…

Q: Find the minimum value of the function f(x) = 2x² +18.3x + 45 to the nearest hundredth. Answer:…

A:

Q: Lucas is walking on a circular path modeled by the equation (x+6)² + (y-2)² = 36, and Neal is…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the following function given…

Q: please write on the paper. I dont know how to write it. Thank you

A: Given function:- f(t) =(e2t -e-2t)2

Q: Find the value of (2) for a solution (x) to the initial value problem: y" + 4y + 4y = 2x + 6; y(0) =…

A:

Q: Determine the y-coordinate of the centroid of the shaded area. bl. | x=y²/b b Answer: y = i 0.48b MI…

A:

Q: Evaluate the limit using L'Hopital's rule. Enter either a reduced fraction or DNE. lim 7…

A:

Q: Graph each function and its inverse relation on the same set of axes. Determine whether the inverse…

A:

Q: 7 My Drive Computers Shared with me Recent Starred Trash Storage Buy storage 1 Screenshot (16…

A:

Q: Find the vertices and foci of the hyperbola. 4x² - y² - 24x - 2y + 31 = 0 vertices smaller x-value…

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

Q: Find curl (62 i + 7x j + 2y k). curl (62 i + 7x j + 2y k) = (i )k )i + (i )j + ( i

A: Here we have to find the curl.

Q: 3. Determine the point(s) where the function y = ₁ , has a maximimum and/or a minimum. Find BOTH…

A: Determine the point(s) where the function below has a maximimum and/or a minimum. Find BOTH…

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: The given function is: fx=x9-9x  Analyze and sketch a graph of the function. Find any intercept,…

Q: Question Find the linear approximation L(x) of the function f(x)=√x - 10 at a = 26. (Enter an exact…

A:

Q: An automobile company is ready to introduce a new line of cars through a national sales campaign.…

A:

Q: 3. Let o(a) be a solution to the initial value problem: y" + 2y' + 5y = 0; y(0) = 0, y'(0) = 4.…

A:

Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of…

A: Given: 400 litres of brine are kept in a tank. The tank receives 12 litres of brine each minute,…

Q: Given

A:

Q: Screenshot (168 Screenshot (168 Determine whether the differential equation (2x² − 2xy + 3) dx +…

A:

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{f(t)}…

A:

Q: If 6√√x + 15√y = 177, find y'(x) by implicit differentiation. y'(x) = Y I Find the exact value for…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√√x. Find…

A:

Q: A triangle ABC has sides that is equal to 11m, 13m, 15m. find the length of median of the 11m-side.…

A: formula: ma = (1/2)2c2 + 2b2 - a2

Q: lar solution uch that y(1) = 0 lar solution )dx when x = 2, y = 3 om separating the variables of the…

A: We have to find the solution of the given differential equation according to the given information

Q: Evaluate 09 9121IN N OC 2 01 2 1 2 I -1²-2 dydx.

A: Given query is to find the value of the integral.

Q: Sketch the region D of integration, and then evaluate the integral by reversing the order of…

A: