Solve the elementary applications of Differential equation: 1. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after 2 years the population has doubled, and after 3 years the population is 20,000 find the number of people initially living the country. (answer should be exact)

Solve the elementary applications of Differential equation: 1. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after 2 years the population has doubled, and after 3 years the population is 20,000 find the number of people initially living the country. (answer should be exact)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 1CR

See similar textbooks

Related questions

Q: 29. Which of following is the equation of the tangent line to the curve y = 2x - x² at the point (…

A: I am attaching image so that you understand each and every step.

Q: A CAT scan produces equally spaced cross-sectional views of a human organ that provide information…

A: Given information: The x-sectional area of liver is given at interval of 1.5 cm. Note : The figure…

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

Q: dx Example: Evaluate 3 + sin x + cos x

Q: 2. Find an equation of the sphere satisfying the given conditions. a. It is concentric with the…

A: In this question, we want to find an equation of a sphere which is concentric with the given sphere.

Q: Evaluate by using homogeneous D.E. 3 (3x? + y) dx – 2xydy = 0 03 In(x2 + y?) + 4 = C O a = C(9x³ +…

A: To evaluate by using homogeneous D.E.33x2+y2 dx-2xy dy=0

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 3y² + 8, (2, 1) Vf(2, 1) = 4i +…

Q: True/False: The saddle point of the of the function f(x,y) = x² – e occurs at (0,0). - O True O…

Q: A cone was formed by rolling a thin sheet of metalin the form of a sector of a circle 72 cm in…

Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

Q: A ball is thrown vertically upward. Its height h feet after t seconds is given by the formula…

Q: | cos 3y dy 4.

A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

Q: Find the dot product of Á = and B =. Find the scalar product of P = 10î – 4ĵ + 7k and Q = -2î – ĵ+…

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 36 lim…

Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

Q: Determine whether P = and Q = are orthogonal vectors. If W = and V =, compute V x W. If W = and V =,…

A: Explanation of the answer is as follows

Q: dx V3+2x-x2 10.

Q: If it is continuous, there are 3 conditions needed to be satisfied: i. f(a) is defined ii. lim x→a…

A: The three criterias that you have mentioned are for a point. When we check the continuity at a…

Q: Given y=[2 +(x2+1)4 ]³; Find y' O y' = 64 (x²+1)° O (E) None of the choices O y'=24x (x²+1)³ [ 2…

Q: ind cylindrical coordinates of the point with rectangular coordinates (3, –3, –7).

Q: ................................................. Determine whether the lines intersect, and if so,…

Q: Consider the following function. f(x) = x2 – 6x %3D (a) Find the critical numbers of f. (Enter your…

Q: he power supply of a satellite is a radioisotope (radioactive substance). The power output P, in…

A: Given: The power supply of a satellite is a radioisotope radioactive substance. The power output P,…

Q: A rancher wants to fence in a rectangular area of 18000 square feet in a field and then divide the…

Q: de

A: The given indefinite integral is: I=∫16θ2-9θ4dθ Taking θ2 as a common in the numerator,…

Q: What is the maximum value of f(x)= 2x4+16x3+40x2+64x+7 on [-8,-2]? a. -57 b. 4 096 c. -121 d. 2…

A: Given: fx=2x4+16x3+40x2+64x+7 ; x∈-8, -2 As we know that; The Power law; ddxxn=nxn-1

Q: Solve the following system of PDES. Uzz = 0, Uzy = 0 0, uzy = 0

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: Learning Task 4: Given the equation x2 +y² =9. 1. Differentiate using implicit differentiation. 2.…

A: Since, the student has mentioned to solve only part numbers (4) and (5), so we are solving part…

Q: A solid in the formof a cube of edge 12 cm. is melted and formed into three smaller cubes of…

Q: S (In x)?dx

Q: O 2y = x In cx?

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

Q: Let f be a continuous function on [a, b]. Which of the following statements is false A If k is a…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In V x2 + y², (6,…

Q: - Find the Taylor series expansion for the given function about x =g. :- Using the Taylor series…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

Q: 5 If csc² A = ;, what is the value of 1- cos? A? 2 5 5 2 2 Option 1 O Option 2 2 2 D Option 3 O…

Q: total

Q: Consider the following. u = 5i - j - k, v = -i + 5j + 2k (a) Find the projection of u onto v. (b)…

A: The expression for the vector projection of u onto v is: projvu=u·vv2v And The expression for the…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

Q: d. x cosy + y sin x –1 = 0 3 х е. = 2 x y

Q: x = y² – y, x = y – y² |

A: The solution is given in the next step.

Q: A solid spherical steel ball, 20 cm in diameter, is placed into a tall vertical cylinder containing…

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

Q: 4. Solve the second order differential equation given by 2 dt2 3z = 4c", z(0) = 0, dt dr(0) 0. dt

A: We will solve the second order differential equation.

Question

Solve the elementary applications of Differential equation:

1. The population of a certain country is known to increase at a rate proportional to the number of people presently living in the country. If after 2 years the population has doubled, and after 3 years the population is 20,000 find the number of people initially living the country. (answer should be exact)

Expert Solution