21. Each person's blood pressure is different, but there is a range of blood pressure values that is 5π 3 considered healthy. The function P(t) = -20cos. t + 100 models the blood pressure, p, in millimetres of mercury, at time t, in seconds, of a person at rest. a. What is the period of the function and what does it represent for an individual? b. How many times does this person's heart beat each minute?

Q: Use the method of undetermined coefficients to solve the ODEy′′ − 3y′ + 2y = e^x

A: We solve the second-order non-homogeneous ordinary differential equation (ODE):y′′−3y′+2y=exusing…

Q: Linear AlgebraShow calculations

A: Step 1: Step 2: Step 3: Step 4:

Q: Problem 2 (Completing the proof of Proposition 1) Let V be a vector space. Prove that the following…

A: Steps of solution Part 1) To prove that for every scalar c∈R, the equation c⋅0v​=0v​​ holds in a…

Q: Please do diagram for (v) and (vi) and explain (i)

A:

Q: Question 1(a) Find the solution of the equations by the use of determinants (Cramer's Rule):…

A: 1(a) Cramer's Rule for solving a system of equations : You are given  system of equations :1 .   2x…

Q: Don't use chat gpt

A: The rank of a matrix is equal to the number of linearly independent rows (or columns) in it.Since it…

Q: KIN MCV Unit #X Text H X 12 Te X 12-T X 17a X 1.1-T X 1458 13741 + EngzgaFOUVBmwzYrlyjUON1T/view Er…

A: (14) (15)

Q: Question Simplify the rate of cans of soda compared to people 46 cans of soda 20 people cans of soda…

A: If you have any problem let me know in comment box thankyou.

Q: by using python do the following

A: Analyzing the Graphsa) Number of Isomorphisms Between the Two GraphsIsomorphism: Two graphs are…

Q: This is a dynamics problem using differential equations

A:

Q: Car A rounds a curve of radius p = 230 m at a constant speed of 18 m/s. At the instant represented,…

A:

Q: Prove that the collection of all intervals in R with endpoints in Qu{too) is countable.

A: To demonstrate that the set of all open intervals with endpoints in Q∪{+∞,−∞}is countable, follow…

Q: Problem 3 Show that additive inverses in vector spaces are unique, i.e. for any given vector v in a…

A: 1. Let v  be any vector in a vector space V. 2. Suppose v1 and v2 are both additive inverses of v.…

Q: (2) The top view of a revolving door with two forces exerted on it is shown. The two forces have the…

A: Step 1: Step 2: Step 3: Step 4:

Q: (4) A force F is applied through the bar on the slider at A as shown. If the t-component of the…

A: Step 1: Determine the Direction of the Components From the diagram, the ( t )-axis is at a 30°…

Q: dont understand the question.

A:

Q: Calculate the complex integral. Please show every steps.

A: Let's solve these complex contour integrals step by step using the residue theorem. Problem…

Q: ID 1/3 Nikoloz V Sets Constructing a Venn diagram with 3 sets to solve a word problem As part of a…

A: From the given data, we know that: Total number of participants, T = 653 Number of participants with…

Q: Explain each step, simple and organize solution

A:

Q: Problem 3 (More vector space properties) Let V be a vector space. Carefully show the following,…

A:

Q: (2) The 100 lb uniform bar is pinned at O and supported by a roller at A. A downward 150 lb force…

A: Solution:a) If M = 2000 lb-in, Magnitude of reaction at pin O:C + ΣM0 = 0-2000 + 150 * cosθ (50 -…

Q: not use ai please

A: PART A.1. Interval [0.4, 0.8]Calculate s(0.4):s(0.4) = 64 - 16 * (0.4 - 1)^2s(0.4) = 64 - 16 *…

Q: Please answer this advanced functions grade 12 question on paper, please make sure the answer is…

A:

Q: Please solve and show all steps and work. There are 4 part solution.

A:

Q: Suppose lim f(x) = L, where L = R and lim g(x) = +∞. 8+←8 1. Prove: if L > 0, then lim f(x)g(x) 8+←…

A:

Q: A population P obeys the logistic model. It satisfies the equation dP 2 · P(13 – P) for P > 0. dt…

A:

Q: b\ Define the coarser topology and finer topology and give example with prove: 1.The coarser…

A:

Q: Find the equilibrium solutions and analyze the stability using the phase diagram.

A: Step 1:Step 2:

Q: Let A be a set, and let {B}ier be an indexed family of sets. Prove that An UB (UB.) = U(An B.). iЄl…

A: To prove that: A∩(⋃i∈I​Bi​)=⋃i∈I​(A∩Bi​) we need to show that both sides of the equation are equal.…

Q: Linear Algebra: Justify each step and do not use AI generated response

A: Step 1:                      Step 2: Step 3: Step 4: Conclusion: QQQ with these modified operations…

Q: I need help !

A: Step 1:Given Data:The dataset contains the following ratios (relative to 1913):Bristol: 94Cardiff:…

Q: (1) The force F with a magnitude of 7 kN is applied at point A as shown. Determine the x- and…

A:

Q: Please answer this advanced functions grade 12 question on paper, please make sure the answer is…

A: Please find the answers on paper:  Please let me know if you have any doubts.

Q: a) A + B b) AC c) 2A+ D let A3×4, B3×4, C4×2, and D4×3. Determine the size of

A: Let us determine the size of each matrix operation step by step: Given:•Matrix A: 3x4• Matrix B:…

Q: not use ai please don't

A:

Q: Problem 3 (Basis for the kernel of a matrix) Let A be an mxn matrix and consider W = { € R" | A= 0}.…

A: Part (a) - Invariance of the Kernel under Row OperationsWe are given that matrix A′ is obtained from…

Q: Separate variables and use partial fractions to solve the initial value problem. Use either the…

A: Step 1: Step 2: Step 3: Step 4:

Q: What is the allocation of the budget among the three media, and what is the total audience reached?…

A: The allocation of a promotional budget across different media, such as television, radio, and online…

Q: 2.7 12. Estimate the values of the solution of the initial value problem dy dt = sinty and y(0) = at…

A:

Q: Please avoid using chatgpt. Show the complete solution. Thank you!

A: YOUR  EXPLANATION

Q: This is a dyamics problem

A:

Q: Please answer this advanced functions grade 12 question on paper, please make sure the answer is…

A: We solve the inequality:2x+34x−1​>3 as follows:1. Set up the inequality:2x+34x−1​−3>0  2.…

Q: Please answer this advanced functions grade 12 question please make sure all of them are correct and…

A: 1. The leading term of a polynomial function influences its end behavior:This figure shows the end…

Q: not use ai please

A: Key Information from Diagram:- There are three artworks (B, D, E), each with a 20" width except for…

Q: 3. Determine if the vectors work. -2 are linearly independent. Show all 0 1

A: Step 1:The given vectors are: ⎣⎢⎡​1−23​⎦⎥⎤​,⎣⎢⎡​111​⎦⎥⎤​ and ⎣⎢⎡​0−11​⎦⎥⎤​ To determine whether the…

Q: Cylinder B has a downward velocity vB = 6.2 ft/sec. Compute VA and VB/A. (VA = 2.07 ft/sec right,…

A:

Q: Exercise 24 Suppose 4+4 € Sn such that HX E { 1 n} except 4(+) = 4(+) 4(x)=4(+) when x=i and when…

A: We have the following conditions:f(x) = f(x) for all x in S.f(i) = f(j) for some i and j in S.f(i) ≠…

Q: 12. Solve the following recurrence relations by the method of generating functions.

A:

Q: solve v(0)=1000 , v(t)=(1+Ce^(-19.63t))/(1-Ce^(-19.63t)) Solve for t*  10 m/s = (1+…

A: Given the equation  v(t)=1−Ce−19.63t1+Ce−19.63t​, and the initial condition  v(0)=1000. Let's solve…

Q: 11. a) Find the exponential generating function for the number of ways to arrange n letters,n ≥ 0,…

A: