A firm hires 3t% workers each year but loses 5% each year due to retirement and poaching from competing companies. Find the Differential Equation that models this situation. MP. = - 0.02t A dt dW B = 0.03t – 0.05 dt MP = 0.03tW – 0.05W dt dW = 3t - 5 dt (E MP. = 3tW – 5W dt dW F 2tW dt

Q: 1. The graph of a tunction f is displayed below What is the limit of f(=) approaches O? +++ i23 456 ...

A: Given question:- What is the limit of f(x) as x approches 0

Q: F(s)

A:

Q: B. Find the perimeter of the triangle whose vertices are: 1. A(2,1), B(3, -5) and C(1, -3) 2. P(3,0)...

A: 1. A2,1, B3,-5, C1,-32. P3,0, Q6,4, R-1,3

Q: In (sin2x) sin2xdx Evaluate; sin³x -+C 3 A sin?x +C 2 B В sin4x - +C 4 sin4x D -+C E None

A:

Q: a eしの-cosょ)=(xtSinle) dx X+8inle 4. Consider a cone-shaped tank that is 4 feet tall and whose rim is...

A:

Q: B-1 0ンエ a (( F-C)P) 3- Beta= (i-ベ) Calpha %3D Solve for P2

A: Explanation of the answer is as follows

Q: . If f = In(x² + y² + y³ ) then find the divergence of falso find its magnitude at 2 3)

A:

Q: \ x² Vx2 + 16 Evaluate the integral: 29 dx (A) Which trig substitution is correct for this integral?...

A: The objective of the question is evaluate the indefinite integral .

Q: Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1 f(x...

A: we have given function     we need to determine the continuity at a=1    

Q: Find a domain on which f(x) = (x −3)2 is one-to-one and non-decreasing, then find the inverse of f r...

A:

Q: A dancing contest has 11 competitors, of whom three are Americans, two are Mexicans, three are Russi...

A:

Q: 4 Find the area bounded by Y 0, y = 0, x = 2. %3D /144 – 16x? Round to four decimal places.

A: We have to use definite integration. 

Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

A:

Q: If fi f(x)dx = and f f(r)da = 1, then 6 f(x)dris O None of the others. O 18 O 12 O 2 O 10

A: A detailed solution is given below

Q: Find the directional derivatives of the function at P in the direction of v. f(x,y) = xy P(0,1) v = ...

A:

Q: dy Find dx if y = x (log2(x* – 4x))° dy dx ||

A: Topic = Derivative

Q: The population of Hungary1 has been modeled by P=9.919(0.998)t, where P is in millions and t is i...

A:

Q: 31 'dt = +C 3lnz A True B False

A:

Q: dy - y = xy2 dx

A:

Q: Let f(x) = ln(2x). Note that 1 and 2 can be done at the same time if your answers are in table forma...

A:

Q: At what point is the tangent line to the curve y = 6x² perpendicular to the line x + 2y – 8 = 0? NOT...

A: Follow next step

Q: Find the series' interval of convergence and, within this interval, the sum of the series as a funct...

A: Find your answer below 

Q: Question / Iil Use the defination of improper integray to define 1. dox 1.2 use your defination in H...

A:

Q: Select ALL possible answers. * Which of the following is/are the point/s of discontinuity of the fun...

A:

Q: (a) Find the number of distinguishable permutations of the letters MISSISSIPPI. (b) In how many of t...

A: topic - permutations

Q: a4 +dy: - +C Ina A) True В False

A:

Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then factor the...

A:

Q: Suppose f'(x) is continuous over an interval a < a < b, and a <c <d < b. If f'(c) = 9, then (check a...

A:

Q: . Find the function that is represented by the series £=0x" = 1 + x + x² + ... xn . Find the functio...

A:

Q: Find the area of the given region using any method. 1 y = 9 - x2 y 1.5 1.0 0.5 -1 1 -0.5

A:

Q: Use the definition of improper integrals to define dx Use your definition in 1. to show that the imp...

A:

Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: Classes Canva Notion - The all-i. Instagram (5) Home / Twitter A Facebook YouTube l Bea Elaisa Alvar...

A: End behavior of given polynomial is if x tends to ➕➖ infinity♾️ then f(x) tends to infinity. 

Q: Simplify: 1+ cos 2x. 2 cot2 x

A:

Q: S e3(2e * – 1 ) dx (ear – 2) (e3* + 1) 4 (A) 2e3x – 1 B) 2e 6r – e 3x © (e3r – 2)+ D (e*+1)+ (E ,6x ...

A:

Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

A:

Q: 12x2-5x+7 6. lim x→+0 V9x²-7x+13

A: This is a limit problem of the function. First of all we will reduce the function into most simplifi...

Q: x + 2x – dx

A:

Q: Find the volume of the described solid S. The solid S is bounded by circles that are perpendicular t...

A: Given

Q: Find the extreme values of f (x, y, z) = x + 2y subject to both constraints x + y + z = 1 and y² + z...

A:

Q: e(2e" – 1)dx 6x 3x A 2e - 1 B 2e 6i – e 3u © (e"-2)+ (e" + 1)4 E F None

A: This is a problem of integration. First here we will assume e^3x = t and then we will use general fo...

Q: Radoc-Lactuan, I. et. al Analytic Geometry C. Show that the following sets of points belong to the s...

A: topic - coordinate geometry

Q: 3. Construct an angle of 65° from two straight lines and bisect the angle.

A: Construct an angle of 65 measure at O using protractor

Q: 4n + 4n + 1 an 2n + 1

A:

Q: 1. (a) Find the first four nonzero terms of the Taylor Series for the given function centered at a +...

A: i) f(x)=ex , a=ln 4ii) fx=ln x, a=3

Q: 6t dt = 3a? %3D Select one: O True O False

A: topic - definite integral

Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

A:

Q: Evaluate the improper integral. (Hint: use the formula: S- dr = sin- +c)

A:

Q: xydy – (y² + 3x²)dx = 0

A: Let, y =v*x

Q: Let F = (3x, 3y, 6z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where neede...

A: