In a laboratory experiment, the population of bacteria in a petri dish started off at 9100 and is growing exponentially at 6% per day. Write a function to represent the population of bacteria after t days, where the hourly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per hour, to the nearest hundredth of a percent. Function: f(t) Growth increase per hour Submit Answer

Q: solve the determinants of the vandermonde matrix using Newton Interpolant (incremental…

A: Given: The left-hand side of the linear system of equations, obtained by Newton's interpolation…

Q: If f (t) = cos(4t – ), what is the laplace transform of f (t) ? %3D V3s 2(s+16) 2. +16 O 2 V3s +16…

A:

Q: Tangent to the parabola z = x2 + 3y2 , x = 1 , at point ( 1 , 2, 13 )

A: Given:   Tangent to the parabola z = x2 + 3y2 , x = 1 . at point (1.2.13)

Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at xo = 0. (In 2 z…

A:

Q: Find the parametric equations of normal line to the surface given by f(x,y) = tan Vx2 + y² at the…

A:

Q: 2. Determine whether the following subset S of R3 is a subspace or not. a) S = X2||x1x2x3 = X3 S.…

A: Let V be a vector space over field F. Let W be a subset of V then W is subspace of V over field F if…

Q: Determine if the columns of the matrix form a linearly independent set. 1 4 -3 0 -2 -7 5 1 -4 -5 7 5…

A:

Q: 6. Find the value of x: 43 Ox=317 O x- 21.5 Ox- 86 Ox- 43

A: The angle made by two lines will always be the same at every points on the line from the point of…

Q: 2. A particle is moving in space with position function Ř(t) = (sin(3t), cos(3t), 3 – 4t). 2.1. Find…

A:

Q: Find the vector x determined by the given coordinate vector [x]g and the given basis B. - 1 2 5 - 8…

A: Find the vector x determined by the given coordinate vector [x], and the given basis B.

Q: Given the vectors ( 1 1 0), (0 2 3), (1 2 3), ( –1 0 3) in R3. Given vectors are linearly dependent.…

A:

Q: $6.300 is invested in an account earning 4.3% interest (APR), compounded daily. Write a function…

A: Introduction: Compound interest is a type of interest. In this type of interest, the principal…

Q: 1 Oswald and Martha both have €5000 to invest. Oswald invests his money in a bank that offers to pay…

A:

Q: . Arcsin(x/y) = 4x + 3y

A: Solution :-

Q: Let V be a vector space with dim (V)=4. Which of the following is true? O A. For v1, v2, V3 E V,…

A: Solution

Q: Find the standard equation of the sphere. (Let r = 5 and C = (9, 7, 5).)

A: Standard equation of a sphere with radius r and centre at c=(h,k,l) is  (x-h)2+(y-k)2+(z-l)2=r2

Q: The series 2 (-2)" is n=1 n4" +1 Absolutley convergent Conditionaly convergent O Divergent O None of…

A:

Q: Let g be a function and F be a vector field, and assume that g and F are defined on a simple region…

A:

Q: 2" + 7" Determine whether the series 9h converges or diverges. If it converges, find its sum. n = 1…

A:

Q: The graph of a function f is given below. According to the graph, the derivative of the function…

A: When x tends to 2- then the sign of derivative is negative since it is decreasing from left side of…

Q: 6. Determine the basis for the null space of: -2x +2y + 2z] Зх + 5у + z 2у +z a) х — 2у — z b) —х +…

A:

Q: 1 0 0 r - 2 2 What are the values for r and s for which has rank 2? S - 1 r+ 2 O A. r = -2 and s 1 O…

A: Solution

Q: - dimensional vector space V Let T be a linear operator on the finite condition that T be semi -…

A: Given: T is a linear operator To find: Theorem

Q: Let A be a 7x6 matrix such that Ax O has only the trivial solution. What is the rank of A? O A. 6 О…

A: Use the given information.

Q: (csc 0)(1+ sin² 0 + sin 0 cot² 0) d0 а.

A: This is a problem of Integral Calculus.

Q: Question 2 Show, using truth tables, that (a) -(p V q) A r = ¬p^(Ar),

A: First we construct the truth table. We use "T" for "True" and "F" for "False" in the truth table.

Q: 2. At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A:

Q: Question 3 (. whether it is convergent or divergent (show all ) Test the following series your…

A:

Q: Let S = {a, b, c, d}, and let f1: S → S, f2: S → S and || f3: S → S be the following functions: fi =…

A:

Q: Question 4 Let A, B be the subsets of some universal set &, (a) Draw a Venn diagram for the set BN…

A: As you mentioned.. I will solve 4) a )

Q: Need the solution last two subparts namely v and vi

A:

Q: FiM the remainchg ports op the spherical triangles ) ca90 のこ3703'44 ,6-61° 14'25

A: Given: C=90°a=37°3'46''b=64°16'25'' To find: Remaining parts of the spherical triangle

Q: Then dimension of W is equal to:

A: Dimension of W =3

Q: 2. Find the Taylor series of f(x) = Inx at a = 1

A:

Q: Identify a generating curve on the rz-plane for the surface of revolution with equation 1² + y² + zª…

A: The equation of the surface of revolution given is as follows:…

Q: Compute the area enclosed by the curves. You must show your work. Express your answer as a fraction.…

A:

Q: B. Solve. Two hikers start at the visitor center. The first hikes 4 miles due west, then turns 40°…

A:

Q: 2. Solve for the missing angle: 100 O x = 90 O x = 100 Ox = 80 O x = 40

A: Solution

Q: 2s - S 3. Let S = s, t e R i. Show that S is a subspace of R* ii. Find two vectors that span S ii.…

A:

Q: Find the span (S) of the following R³. State whether S is linear in

A:

Q: Let I = {(x, y) |1, y E 2Z}. (a) Show that I is an ideal of Z × 2Z. (b) Use FIT for rings to show (Z…

A: We will show both parts.

Q: "COUNTING MADE REAL" (Performance Task) Situation 2 Grade 10 class with 40 There are 10 contestants…

A: To find for the given situation 1,2 & 3.

Q: Reading Question 6.2.1. Let G be a cyclic group of order 20. Which of the following claims is true?…

A: We know, if G is a cyclic group of order n and d | n, then number of elements in G of order d is…

Q: 2. Solve for the missing angle: 100

A: Introduction: When two line segments meet at a single point, an angle is formed. Angles are…

Q: Let W = {(:a, bER }with the standard operations in Ma3- %3D Which of the following statements is…

A:

Q: 24 – 44 dy 2+ 49 с.

A:

Q: Example 2 If |z-= 2, then the difference between max (zl) and min (|zl) is: (A) 1 (B) 2 (C) 4 (D) 8

A:

Q: Write the Maclaurin series for f(x) = 8 cos (7x²) as >, Cnx". n=0 Find the following coefficients.…

A:

Q: By considering different paths of approach, show that the function below has no limit as…

A: Solution :-

Q: product

A: Topology