Question 5 The velocity of a particle moving along the x-axis is given by v (t) = VE – cos(e*) for t2 0. Which of the following statements describes the motion of the particle at t = 1? The particle is moving to the left with positive acceleration. The particle is moving to the right with positive acceleration. The particle is moving to the left with negative acceleration. The particle is moving to the right with negative acceleration.

Q: How do you solve #1

A: We have to find general antiderivative of f(t) where f(t) is given by

Q: Question No.4 Laboratory department detects the concentration C of impurity of an oil purifier…

A:

Q: Question 9 0 1 + Sī + x? (a) J17 (b) 2/17 V17 - 1 (d) 2 (e) arctan 4 (O None of these

A:

Q: Question 2 Use the Newton-Raphson method to find a root of the following function. Start from the…

A: Solving by Newton Raphson method for initial root as 7

Q: Question 1 The number Vof computers infected by a computer virus increases according to the model…

A:

Q: PART C QUESTION 1 Differentiate the following functions with respect to x: а) y = e3* cosh (x?)

A: The objective of the question is determine the derivative of the given function.

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

A:

Q: 1: Normal human body tempura ture flucuates. with a rythm tied to our Sleep cycle. If HCH) is body…

A:

Q: QUESTION 6 A bottle of juice with a temperature of 95 F was taken off a shelf and placed in a…

A:

Q: a+b log (a cos 0+6° sin 8) de log a>0, b>0. 2

A:

Q: Question 9 What is the derivative of y log b ( cos? (ax)) ? Note that a and b are real numbers. A 2…

A:

Q: QUESTION 2: Test for exactness, and solve the Initial Value Problem for the following first-order…

A:

Q: QUESTION 4 x' = 12 t2 x, x(0) = 3 Solve the above IVP and then find x(0.5). Put x(0.5) accurately…

A:

Q: Question 7 A particle travels along a straight line with a velocity of v (t) = 3el) sin (2t) meters…

A: Given : v(t) = 3 e(-t/2) sin (2t)

Q: 1. After getting a job, Jonas started saving a percentage of his annual P(t) = 2.5 cos(0.157t) + 5.2…

A:

Q: (a+b 12 a log (a cos 0+b sin 8) do=r log a>0, b>0. 2

A:

Q: Question 7 During a promotional sale, a retail store modelled the traffic flow rate of customers…

A: Given Data The function of the traffic flow rate of customer enter the store is C’(t)=-75 cos…

Q: QUESTION 5 Suppose that g(3,4) - 2, g,(3,4) = 6, and g,(3,4) = 3. What is the value of the…

A:

Q: Question#1(a): Solve the following ODE by Heun's method, y(1) = y - y sint, 2 <t<3, y(2) = 2, h=…

A: This method can be used to simplify the differential equation by providing primary values. Here, the…

Q: A particle moves along the x-axis so that at any time 120, its velocity is given by v(1) = cos(2-³).…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Question 4 a. Solve the following definite integrals. xp (* + x^€) ,'J (V&+1)* dx

A:

Q: Question 8 Suppose that a biomass B(t) changes with respect to time t (hours) at the rate dB Vt +…

A: We have to find

Q: Question 9 Use your value of x to calculate a value for e* from the first four terms. Compare the…

A:

Q: Question 8 Two particles start at the origin and move along the x-axis. For 0 <t < 10, their…

A: Given x1=-sintx2=e-2t-1

Q: QUESTION 11 The first approximation(p) of the root of the equation f(x) = /x- cos(x) = 0 by Newton…

A: Newton-Raphson method (also known as Newton's method) is a way to quickly find a good approximation…

Q: 2. A particle of unit mass moves so that displacement after t seconds is given by x = 2 cos (t - 2).…

A: Given that a particle of unit mass moves so that displacement after t second is given by…

Q: Problem 7.4. A particle moves along the x-axis such that the velocity is given by v(t) = 3t + cos(t)…

A:

Q: 11. An object moves along the x-axis so that at any time t 2 0, its velocity is given by v(t) = 4 –…

A: Given Data: The velocity of the object is: v(t)=4-3.8cos(0.7t) The time of observation of…

Q: Question 003 Complete the following question involving initial value problems. An object has a…

A:

Q: 34. In Example 4 of Section 1.5, we modeled the tides for Toms Cove in Assateague Beach, Virginia,…

A:

Q: Question 16 The directional derivative of f(x,y,z) = xy²z-2xy2+1 at the point P(3, -2, 0) towards…

A:

Q: 11. An object moves along the x-axis so that at any time t2 0, its velocity is given by v(t) = 4 –…

A: Find your answer below

Q: Question 6 of 13, Step 1 of 1 Co Consider the function u = (-3t + 6)2. Find the differential for…

A: We can find the differential as below.

Q: (a+b a>0, b>0. 2 log (a cos 0+b sin 8) do=7 log %3D

A:

Q: Question 7 Find the value of x6 in 3 decimal places (positive value) using Newton-Raphson Method…

A: Newton- Raphson Method

Q: QUESTION 5 The horizontal distance or range (R) of an object thrown at an angle e from the…

A: As per our guidelines I can only solve first question, remaining can be reposted

Q: Question 5 Solve the following initial value problems. dy (a) = 6 – 2 cos(3x) and y(0) = 10. d.x dy…

A:

Q: The velocity of a particle moving along the x-axis is given by v(t) = VE – cos(e') for t 2 0. Which…

A: Given velocity function along x axis is vt=t-coset  ....1

Q: A particle moves along a straight line with an acceleration of a = the displacement at t = 0 is 0,…

A: As per the instruction, we will be solving only the first equation. Given: A particle moves along a…

Q: Question Question 5 of 14 Apply Newton's Method to f(x) and initial guess xo to calculate x1, x2,…

A:

Q: QUESTION 3 Determine the value of a that satisfy the following equation; sinhx = In(3 – a²) – In(x +…

A:

Q: 1. An object undergoing simple harmonic motion in which its position varies according to x(t) =…

A: a .Given that equation of SHM position varies according to xt=2.50mcosπ6t+π4solution :…

Q: 13. A particle moves along a line so that at time t, where 0 sts n, its position is given by s(t) =…

A:

Q: QUESTION 17 The horizontal distance or range (R) of an object thrown at an angle e from the…

A:

Q: 17. A particle moves along the x-axis so that at time t > 0 its position is given by x(1) = 12e¯'sin…

A:

Q: 11. An object moves along the x-axis so that at any time t > 0, its velocity is given by v(t) = 4 –…

A: Given,               Velocity V (t) = 4 – 3.8 cos (0.7t)

Q: Question 002: Complete the following question involving Motion. Given the velocity and initial…

A:

Q: Question 006: Complete the following question involving Motion. Given the acceleration, initial…

A:

Q: Activity 6: Find the first and the second derivative of the following: 1. у 3D е cos x 2. y = sin³…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.