The initial value problem modeling the number of fish in a stocked pond after t years is dy dt a) Describe the situation in terms of the number of fish in the pond over time. = .1y50, y(0) = 500. b) Solve the initial value problem. c) What is the stead-state level of the number of fish in the pond?

Q: Let f(x) = 4x² + 10x - 2. Using the definition of derivative, f'(x) =lim h→0 enter the expression…

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute maximum and minimum values of…

A:

Q: In the xy-plane, the graph y=x^2+bx+c, where b and c are constants, has x-intercepts at x=-2 and…

A:

Q: III. Find the particular solution 1. dx 2x + dy y -7y; when y=1,x=-1 =

A:

Q: 10" n=1(n+1)42n+1 Consider the series Answer: L = Evaluate the the following limit. If it is…

A:

Q: Where is the final answer?

A: Given: f'(x)=8x3+16x+6f(1)=-3   We are required to find: f(x)

Q: Find the point P where the line x = 1+t, y = 2t, z = -3t intersects the plane x+y-z=-1. -000 P=

A:

Q: Suppose that f is a function given as f(x) = 3x² - 7x. Simplify the expression f(x + h). f(x + h) =…

A:

Q: q(x) = 1 x² + 3 on [-4,2]

A:

Q: Exact differential Equation    M(x,y)dx + N(x,y)dy =0 ∂M/∂y = ∂N/∂x   solve the following…

A:

Q: Consider the graph of a function f. y X Identify the correct statements about the graph. f"(x) > 0…

A: Please see the below answer.

Q: Find the following limit. lim "

A:

Q: Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval,…

A: The given function: rx=x-5 on -12,8.

Q: 6 16

A:

Q: For the following integral.Sed using n=5 subintervals b) Find the Trapezoid Rule Approximation, as…

A: (b) Given that , ∫01e-xdx , n=5 find the Trapezoid Rule Approximation , as well as the error bound.

Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: Given the number N(t) of supermarkets throughout the country that is using a computerized…

Q: Consider the path r(t) = (12t, 6t², 6 lnt) defined for t > 0. Find the length of the curve between…

A:

Q: Let f(x)= |x and g(x) = x² – 2. Find the area of the region enclosed by f(x) and g(x). Answer:

A:

Q: If cos(x) = -4/sqrt41 with pi/2 less than x less than pi what are: sin(x) sec(x) csc(x) tan(x)…

A:

Q: a) Explain the product rule to find the first derivative b) Explain the Quotient rule to find the…

A:

Q: Question 7 The direction of maximum increase of f(x,y,z)=x² + y² - 4z at the point (2,-1,1) is O a…

A:

Q: ermine the intervals on which the graph of y f(x) = 9x² + x4 concave up or concave down, and find…

A:

Q: I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs…

A: According to question, Given information, We have given the cost of east and west sides fencing is…

Q: 4x-3 Find the value(s) of x for which f(x) = 4x2+ 17x15 and label these discontinuities as removable…

A:

Q: Consider the function ₁ (t): = t and suppose the Wronskian of x₁ (t) and some unknown function 2 (t)…

A:

Q: 5. The altitude of a right circular cone is obtained, by measurel possible error of 2% in the…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 1. The position of a missile, neglecting gravitional force is described by: s = 40t In(1+t) Where s…

A:

Q: Find the area of the region under the curve y = f(x) over the indicated interval. 6 1) 5/2 i f(x): =…

A:

Q: Evaluate the following integral. Stan(4x) sec (4x) dx

A:

Q: *ty

A:

Q: Annual sales of bottled water in a certain country in the period 2007–2014 could be approximated by…

A: We need to find out that annual sales are accelerating or decelerating in year 2011.

Q: Solve the given equation.. dx + (x/y-siny)dy = 0 a. d. xy² + ycosy-siny=C b. xy + xcosy-ysiny = C e.…

A:

Q: Suppose an oil spill covers a circular region. The radius in feet, r, increases according to the…

A: Solution: . as we can see from the graph, point (30,20) is on the graph  which means after 30…

Q: For any constant a, let g(x) = ax - 2xin(x) for x > 0.

A:

Q: dw/st is incorrect but everything else is

A:

Q: Determine the intersection if any between the line L₁: [x, y, z] = [3, 2, − 5] + r[0, 1, 4] and the…

A:

Q: Estimating the Amount of Paint Required A coat of paint of thickness 0.07 cm is to be applied…

A:

Q: 1 [3] 0

A:

Q: Definition: The AREA A of the region S that lies under the graph of the continuous function f is the…

A:

Q: 1. The diagram shown AFB and BEC are equilateral triangles and AGDC is a rectangle. Write the…

A:

Q: A vehicle purchased for $29800 depreciates at a constant rate of 17% each year. Its value after t…

A: Given :Original value = $29800Constant rate = 17%A=P0.83t

Q: 1 +æ 1) Evaluate the following integral. dx

A:

Q: Find the following limit. lim

A:

Q: Consider the following vector function. r(t) = ( 4t, 21/1², 1²) (a) Find the unit tangent and unit…

A: Here we have r(t)=4t, 12t2, t2 We have to find  unit tangent and unit normal vectors T(t) and N(t).…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. X x²4 [0, 5] +…

A:

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A: Given function:- fx=x4

Q: Solve the equation on explicitly for y adn differentiate to get y' in terms of x. 5/x - 1/y =3

A:

Q: a) y' - 2xy = x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Using the method of undermined coefficient, find the yc and yp of the following DE y" - 3y + 2y =…

A: Given :

Q: Solve the following system of equations. 9x - y + z = 10 4x+2y-3z= -25 x-3y + 2z=25 Select the…

A: