A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per hour. The initial population consists of 3.9 million cells. Find the population size (in millions of cells) after 5 hours. (Round your answer to one decimal place.) P(5)=

Q: Solve the problem. A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved.…

A:

Q: Calculate Dot Product (2, 4, 5) and 6 Let a = Find a . b. (5, — 1, — 5).

A:

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 Find lim x 27 Find lim 5 4 3 2 1 x → 2 + -5 1…

A:

Q: 4 - 4y + y = 1fe³/

A:

Q: EVALUATE EACH 1) lim √x ².9 x 3 x-3 11m sin ³ x 3

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the following for the given equation. r(t) = (et, 7+², 5 tan(t)) (a) r(t) = (b) r(t) = (c) Find…

A:

Q: what is the derivative of the inner function?

A: We have to tell the derivative of inner function

Q: Use a reference triangle in an appropriate quadrant to find the given angle. 2 (7/3) sec sec (3/3)-0…

A:

Q: 1. Given f(x) = 1 and g(x) = "+¹, find the following functions and each of their domains. (a)…

A:

Q: The force on an object is F=- 24j. an for the vector P = -40i+ }, Find a) The component of F…

A: Given the force vector  F→=−24j

Q: The temperature is T(x, y) = (x-1)² + y² degrees at any point (x, y) on a triangular metal plate…

A:

Q: Can I have the value of constant of integration, rounded off to the nearest integer?

A: We need to round off the value.

Q: 3. For the function f whose graph is given, state the following. Motown (b) (a) lim f(x) 818 lim…

A: We need to find out the limits from the graph.

Q: 32. f(x) = x² - 6x² + 5, [-3,5] J Lada.

A: The given function is; f(x)=x3-6x2+5, [-3,5].

Q: Evaluate: fx In xdx X ○ 25 (In x-²) 5 25 (In x-1) 5 + C O 25 (In x+²) 5 + C O None of these + C

A:

Q: An isotope of the element erbium has a half-life of approximately 9 hours. Initially there are 13…

A:

Q: Find the curvature K of the curve, where s is the arc length parameter. r(0) = (1 - V✓⁄² s)i - (1 –…

A:

Q: tegral. (b) (d) Jo TT cos¹ (2x) dx tan an³ x sec x dx

A: Given query is to find the value of the integral.

Q: тр (няжет хр туть бу

A:

Q: Find the general solution to the given equation 2y" + y − 3y = 0

A: The objective of the question is evaluate the given differential equations.

Q: Which is larger: a = a>b Oa<b √8.1 -√√8 or b = √√2.1-√√/2?

A: Solve

Q: 1. Given f(x) = and g(x) = +¹, find the following functions and each of their domains. (a) (f+g)(x)…

A: Function and domain

Q: Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 94. f(x) = √√x (Use…

A: fx=1x Here, x changes from x=100 to x=94.

Q: Find the domain of the vector-valued functions: R(t) = √t² - 9 î+ In]t − 3] ƒ + (t² + 2t − 8) k B.…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres),…

A: Here we have to use the concept of derivatives

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A:

Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

Q: A kite 50ft above the ground moves horizontally at a speed of 4ft/s. At what rate is the angle…

A:

Q: 15-18 Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given…

A: We need to find values of c.

Q: What is the angle in radians between the vectors a= <-1₁8, 4) and b (2₁-5,107 Angle: Tradians. F

A:

Q: 23-24 Find the local maximum and minimum values of f using both the First and Second Derivative…

A: To find the local maximum and minimum values of f by using both the First and Second Derivative…

Q: Find the volume V of the solid obtained by rotating the region bounded by the curves x = 3√√y, x =…

A: Graph:-

Q: Find Vectors and Perform Vector Operations in R³ Let a = (0, – 5, 5) and 6 = (4, 2, — 5). Find – 2ā…

A:

Q: Write an explicit formula for the sequence: 1 1 1 1 1 1 8 An 9 I 9 , 10 " 11' 12 , 13 ,

A:

Q: Draw a graph to match the description given. f(x) is increasing over (-∞, -2) and decreasing over…

A: Given, f(x) is increasing over (-∞,-2) and decreasing (-2,∞)

Q: . Show two different ways of solving answers. sin x cos x dx. Explain the difference in appearance…

A:

Q: Approximate 181/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: We need to approximate value.

Q: For each function in Exercises 7-28, (a) give of any critical points and classify each point as a…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: A population of bacteria grows to twice its original amount in 3 hours. How long will it take to…

A:

Q: y = cot (4x) dy dx Find dy dx =

A:

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface x =…

A:

Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

A: Given height :- s=96t-16t2

Q: 7. f(x) = 0.2 sin²x - cos 2x, 0≤x≤ T

A:

Q: Find the volume V formed by rotating the region enclosed by the curves: y³ = 6y with y ≥ 0; about…

A:

Q: Find an equation of the tangent line to the curve at the point (1, 1). y In(xex*) y =

A:

Q: Use logarithmic differentiation to find the derivative of the function. y'(x) = y = x³x

A:

Q: A constant force F = -3₁ +2j-1k & is applied to a object that is moving along a straight line from…

A:

Q: Find the constant of integration of the first order linear differential equation ydx + (1 + 2y^2)xdy…

A: Let's solve given diffential equation.

Q: Find the derivative of f( x ) = ³7²¹

A:

Q: A manufacturer has been selling 1650 television sets a week at $510 each. A market survey indicates…

A: