The current population of a certain bacteria is 4538 organisms. It is believed that bacteria's population is tripling every 12 minutes. Use the secant line to approximate the population of the bacteria 5 minutes from now. organisms (round to nearest whole number) Submit Question Jump to Answer

Q: at sin (nt) at Så ea

A:

Q: Begin with the graph of y= ex. Use transformations to graph the function. Then determine its domain,…

A: giveny=ex

Q: Find the directional derivative of f(x, y) = ln(xy) at (,) in the direction of .

A:

Q: Consider the following function. =2323232 (a) Find the critical numbers of f. (Enter your answers as…

A: Given function:- fx=x2x2-9

Q: The limit below represents the derivative of some function f(x) at some number 5(1+h)³-5 h lim h→0…

A:

Q: √r 9. lim r→9 (r - 9)4

A: Concept: The definition of a limit is the value at which a function approaches the output for the…

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: The graph of the function is given by To determine: The values of x where the function fx has…

Q: 2 cas (nt) at

A:

Q: Example 8: Find the vector v of the length √5 extend along the line through A(0,0,4) to B(2,5,0).

A:

Q: Find an equation of variation in which y varies inversely as x, and y = 15 when x = 0.5. Please…

A: Topic = Algebra

Q: Use the definition to find the derivative f'(a) for x+2 √x f(x) = and a = 3

A:

Q: T = Find the equation of the tangent line to the curve when t 6

A:

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1…

A:

Q: Solve (x² + y² + 1) dx + x(x − 2y) dy=0 A B C D x² - y²-1+xy=Cx x²-y²-1+xy=C x²-y²-1-xy=Cx 2 x² -…

A:

Q: For the the initial solution of the DE shown below, match your answer to the following questions: 1.…

A:

Q: Find the limit (enter 'DNE' if the limit does not exist) Hint: rationalize the denominator. (3x²…

A: The answer is in step 2.

Q: ppose the second derivative of f is given by f'(x) = -15x³(x − 4)(x² + 25). Determine the intervals…

A: Given query is to find the interval where function is concave up or down.

Q: f(x) -- Н It cos ах |- cos ах

A:

Q: The multiflash photograph in the accompanying figure shows two balls falling from rest. The vertical…

A: Given s=490t2We need to find the time taken by balls to fall the first 160cm.

Q: The line tangent to the graph of y = x² at the point where x = 0.9 crosses the x-axis at the point…

A:

Q: All work must be shown to receive full credit for a correct solution. Partial credit may be given if…

A: A detailed solution is given below.

Q: The mass of the part of a metal rod that lies between its left end and a point x meters to the right…

A:

Q: Write the equation. Equation of degree 5. Roots at x = 3 and x= 1 both of multiplicity of 2 and  x =…

A:

Q: Suppose that f(x) = log (4x² + 1). Find f'(2). (Round your answer to four decimal places. f'(2) = X…

A: Topic = Derivative

Q: 2. We know that the value of a trigonometric function can be found using the ratio of the sides of a…

A:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: Problem: Given that F (w) = cos(sin w) find F'(). Round your answer to 3 decimal places.

A: Given function: F(w)=cos(sinw) which is a composite function To find: F'π4

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

A:

Q: Sketch the region whose area is given by the definite integral. [*√16-x² dx N -2 y 15 10 5 y 4 3 2 2…

A: Area=8π     unit2

Q: 3 cot2 0-4 csc 0 = 1

A:

Q: A corporation has a continuous compounded bank account with 2.5% annual interest. The board of…

A:

Q: Evaluate the integral. √ 15x² dx (x + 1)(x² + 1)

A: To evaluate the following integral.∫15x2 dxx+1x2+1

Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

A:

Q: てこ == felix-21 20

A: Given query is to find the integral.

Q: The cost function for production of a commodity is C(x) = 352 + 24x0.08x2 + 0.0009x³. (a) Find…

A: see below the answer and explanation

Q: Use the first and second derivatives to sketch the graph of the function (4-x2)5. Make sure the…

A: Given fuction is f(x)=(4-x2)5

Q: Let f(x, y, z) = xy + z³, x = r + s − 8t, y = 3rt, z = s². Use the Chain Rule to calculate the…

A: The given function fx,y,z=xy+z5, x=r+s-8t, y=3rt, z=s7 We have to find the partial derivatives ∂f∂r…

Q: 1. Find the nth Taylor polynomial P₁ for f about x = a. Use P₁, to approximate f(b). Compare your…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Regarding y as the independent variable and x as the dependent variable, find the slope of the…

A:

Q: 8. The height of an object thrown on the surface of a certain planet is given by s(t) = 60+ 16.4t -…

A: Solution is done in step 2

Q: IV. Given the functions f(x) = 2x + 5, g(x)=x² - 6x +7, and h(x) = the following. Show complete…

A: Topic = Functions As per guidelines , At a time only three sub-parts of a question can be answered.…

Q: y-values 8 7 m 2 1 f'(4) - g(x) h(x)' ( then g(x) x-values 4 So y-values S A 3 2 h(x) x-values o

A: The graphs of gx and hx are given below. If fx=gxhx, then, to determine f'4.

Q: d f'(3) using f'(a) = lim 2x² + 3x5 f(a+h)-f(x) h for the following fun

A: Topic:-limit definition of derivatives

Q: 6 6+ -36 V-36

A:

Q: n'(x) = Find the derivative of n(x) = (13x + 4) (x³ + √√x)

A:

Q: For the function graphed below, complete the following. (Enter your answers using interval…

A:

Q: Use logarithmic differentiation to find the derivative dy/dx if (√x)^2y = (^3√y)^3x.

A:

Q: Find the following using the table below. Т f(x) f'(x) g(x) g'(x) 132 4 3 لیا 213 h'(4) if h(x) = 22…

A: Topic- functions and derivatives

Q: 1. Consider the function f(x) = 2x - 4 (a) Find f-¹(x). (b) Use the compositions of f and f-¹ to…

A: see below the answer and calculation

Q: The volume of a right circular cone of radius a and height y is given by V = dy dx volume of the…

A: