Using the rule of 72, how long does it take for country X's production to double? 19 years Using the rule of 72, how long does it take for country Y's production to double? 25 years After how long will the two countries have the same level of production? 228 years

Q: Evaluate the integral. (Use C for the constant of integration.) 10 dx 5x + x/x

A:

Q: (1) 8 6 2 "2 -2 -4 Increasing: Decreasing: Constant: 4.

A:

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

A:

Q: dy Vỹ+5 - =2/y- 5ln|/y+ 5| +c A True B) False

A: follow next step

Q: Find the general solution of the differential equation. y(4) – 6y(3) + 9y'" = 0 ... y(x) =

A:

Q: Decide whether the limit exists. If it exists, find its value. fx) 3+ 2+ -2 -1 3 X -1+ -2- 1) lim…

A:

Q: Describe the graph of the equation. r = 9cos ti – 19sin t j + k O An ellipse in the plane z = 1,…

A:

Q: evaluate intel9a) Evaluate intelga

A: Use property of integral.

Q: x2 sin 2x dx 2.1

A:

Q: (4t³ – e') dt

A:

Q: S° g(t) dt

A: From the figure, we know the following. ∫010g(t)dt=Area of the semi circle - Area of the triangle…

Q: Sketch the region of i nd change the order of integration ntegral 9. 3 f(x, y) dydx

A:

Q: tan5 e -y secseс е-У 9. S -dy ey

A: Since, the student has asked to solve question number 9, so we are going to solve only question…

Q: 9- 4x2 Evaluate: xp-

A:

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: Considerf(x)=x+25xf'(x)=0⇒1-25x2=0⇒x2-25=0⇒x=±5critical points are x=-5, 5

Q: * Example: Find a harmonic Conjugate fer U= = X_ x+y2

A:

Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: Given the point (-10, ) in polar coordinates, what are the Cartesian coordinates of the point?…

A:

Q: 13. Find dy/dx of y = xnx

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution of…

Q: Set up, but do not evaluate, an integral for the surface area of the surface generated when the…

A: writing given function as x in terms of y

Q: 2. Sketch the region and find the area of the region bounded by y = -x? + 9 and the x-axis.

A: The region is bounded by the curve y=-x2+9=-(x-0)2+9 and the x-axis.

Q: Economists who study production of goods by a firm consider two functions. The revenue function R(x)…

A:

Q: Find f'(x) and f'(C). Function Value of c x2 - 4 f(x) = C = 1 x-8 f'(x) %3D f'(c) %3D

A:

Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

A:

Q: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

Q: 5. S csc* dx *csc4 x²

A: Given problem:-

Q: Rewrite the expression in terms of exponentials and simplify the results. 29) sinh (5 ln x) A) 2x B)

A:

Q: x2 In solving for the antiderivative of f(x) = Fusing trigonometric substitution, Jf(x)dx is…

A:

Q: 25 – x² In -dx , if we let u=/25- x2 , then udu= – xdx. T True F False

A: Follow next step

Q: n(-8)" Use the ratio test to determine whether converges or diverges. п! n=25 (a) Find the ratio of…

A: Here we have to use the ratio test.

Q: uppose that f(1) = 6, f(4) = -2, f'(1) = 5, f'(4) = -3, and f" is continuous. Find the value of af"…

A:

Q: Determine whether the following series converges. Justify your answer. 00 3k° +k Σ 2k° - 2 k = 1

A: To determine whether the given series is convergent .

Q: 1 19 Given the SVD of matrix A = has 19 361 :) Σ what is x?

A:

Q: Use a convergence test of your choice to determine whether the following series converges or…

A: Explanation of the answer is as follows

Q: S sin³x vcos x dx 2 Vcos7x + Vcos³x + C |cos³x 2 Vcos³x + C B 2 Vcos"x -Vcos?x + C Vcos³x + C none…

A:

Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Set the partial fraction decomposition of the given form

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. cosh 5x…

A:

Q: y" – 1/x = 0; y = x In x – 5x + 7 -

A: This question can be solved using the concept of first and second order derivatives.

Q: -is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of…

A:

Q: Evaluate the integral. 28) 335 B)- 215 A) 325 D) 36

A: Given:      ∫05  3x2 + x +6 dx

Q: uestion 9 Saved t is possible for y = f(x) to have an inflection point at X = A even if f (a) is not…

A: Given query is to find that statement is true or false.

Q: dy Solve the differential equation 14y/r-1 dx 2.x subject to the initial eSy2-8 condition y(2) 1. No…

A:

Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

A:

Q: x2 +x+1 dx 2x2 +2+x³+x

A:

Q: X Sin(x?)dx evaluate the definite integral

A:

Q: : Write step by step solutions and justify your answers. 1).- ! Solve the following Initial Value…

A:

Q: Evaluate (5+=3+3)+

A:

Q: For the frictionless spring mass model, using a mass of m=0.5 kg and spring restitution coefficient…

A:

Q: each of the problems, solve the given differential equation. 1. y` = x2/y

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Veluate lesing Sub methad s x(xZ-3)" dX 1

A: Given query is to find the integral using substitution method.