Given the function below f(x)=3√−243x^3+972 Find the equation of the tangent line to the graph of the function at x=1 Answer in mx+b form. L(x)= Use the tangent line to approximate f(1.1) L(1.1)=

Q: Find the actual error when the first derivative of f (x) = sin(2x) at x = 1/8 is approximated by the…

A:

Q: Given the linear approximation at a = 0, determine the largest value of such that the 1 linear…

A:

Q: H.W: Estimate the root of the equation for the followin Raphson method: 1. f(x) = x + ln x - 2 xo =…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: The derivative of a function f(x) at a particular value of x can be approximately calculated by f(x)…

A: The given function is f(x)=7e0.5x.

Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = n/8 is approximated by the…

A:

Q: Find the first derivative or f'(x) of the function below using the techniques of integration f (x) =…

A:

Q: 1. (a). Find the linear approximation to f(x) = VT at a 81, (b). use it to approximate 85. (c).…

A:

Q: HW. Determine the positive root of f(x) = x 10 – 1 using the Newton-Raphson method and an initial…

A: Given: To determine the positive root of f(x)=x10-1  using the Newton-Raphson method and an initial…

Q: Given the function g(x) = 8x³ + 12x² – 48x, find the first derivative, g'(x). g'(x) = (x),6 Notice…

A:

Q: The finance department of a car company conducted a study of their weekly sales in the past years,…

A: Given, st=12.18cos0.88t-7.25+20.40,  t≥0 a weekly sales at the start of study find sales at t=0…

Q: 2. For time t > 0, a particle moves along the X-axis, its position is given by the function s(t) =…

A:

Q: 2. Compute the second derivative using forward, backward, central difference and Taylor for the…

A:

Q: Given the function g(x) = 8x – 84x? + 240x, find the first derivative, g'(x). = (x),6 Notice that…

A:

Q: The actual error when the first derivative of f(x) = x - 3ln x at x = 3 is approximated by the…

A: Solution:-

Q: Given the function f(x) = x + e* Find the zero near the x=0.5 using newton-raphson method.

A: Newton-Raphson method uses the formula below to perform the iterations. xn+1=xn-f(xn)f'(xn)

Q: What is the first derivative of f (x) = ln n A)? 3x²+7x 5х Select the correct answer below: бх-7 O…

A: Given query is to find the derivative of the expression.

Q: ) f(t) = t2-2

A:

Q: If I have a C(t) = 55te^-.3t measures the concentration in ng/ml, what is the peak concentration of…

A: This question can be solved by applying the concept of maxima and minima.

Q: At time t = 0, a seed is planted Aftert weeks, the height of the plant is given by f(t) = 0.3t² +…

A: After t weeks , the height of the plant is ft=0.3t2+0.6t+0.5 inches Find the rate of plant growing…

Q: 3. The slope of the tangent line to f(x) = A tan(¤) is 1/2 when z = 2n/3. Deter- mine the equation…

A:

Q: it is known from experiments that the height (in meter) of a certain plant after t months is given…

A: Given: ht=t-t; 0≤t≤1 for finding given values, first we draw graph of given function on given…

Q: Find the actual error when the first derivative of f(x) = sin(2x) at x 1/8 is approximated by the…

A:

Q: 1. (a). Find the linear approximation to f(x) = VT at r = 81, (b). use it to approximate V85. (c).…

A:

Q: For time t > 0, a particle moves along the x-axis, its position is given by the function s(t) = -t*…

A:

Q: One hour after a dose of x milligrams of a drug Predamestane is administered to a person, change in…

A:

Q: The cost, in thousands of dollars, of airing X 30-second television commercials during a Super Bowl…

A: Note:- These are multiple sub parts question and according to our company guideline we can do…

Q: A particle is moving along the x-axis so that at any time t > 0, its acceleration is given by the…

A: The acceleration of a particle is the rate of changing of velocity at time. When the velocity…

Q: 1 f(x) = 1+ 2x near x = 0: 1 1+2z 1 (b) Using your answer to (a), what quadratic function would you…

A:

Q: When observations begin at t=​0, a cell culture has 1100 cells and continues to grow according to…

A: Here a function is given which represents growth of the cells. We have to find the derivative of the…

Q: Given the function below: Approximate the following using h = 0.2: f(x) = ex cos(x²) a. First…

A:

Q: Solve parts a,b, and c.

A: Here we need to apply some basic concepts of derivatives to find the answers

Q: Let f(x) be defined by f(x) = 3x² + 5x + 2. Find the slope of the tangent line to the curve y = f(x)…

A:

Q: on function for a particle moving along the x-axis at time t is given by 4-8t+6t2+40t-20 rmula for…

A: Given the position function

Q: 2.) f(x) = (x5 – 2x³ + 1) 3

A:

Q: Q5/ Estimate the root of the following function using Newton-Raphson method, employing an initial…

A: Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph…

Q: Given the function below 3 f(x) = V45x /45х° —18 Find the equation of the tangent line to the graph…

A:

Q: Consider a revenue function defined as 200e0.4x R(x) = 1 + x It can be shown that R' 0. What is the…

A: Given Revenue function, Rx=200e0.4x1+x To check which of the following statements are true. In order…

Q: The population of a culture of bacteria has a growth rate given by p'(t) = 210 bacteria per hour,…

A: Given data is: The population of a bacteria growth culture is: p't=210t+1r  The increase in…

Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

A:

Q: Find the linear approximation, L(x), of at x = 9. Use this to approximate f(11). Do you think your…

A: Let take a function: fx=x The linear approximation can be calculated as: Lx=fa+f'ax-a…

Q: 2. The weekly revenue of a newly released film is given by 15t R(t) for t 20, 2+ 10' where R is…

A:

Q: Q2 The rate of heat transfer of a body can be express as: dT = -k(T – Ta) dt where T= temperature of…

A: Using Euler's method we can find the solution, the initial values are t0 = 0 and T0 = 90°C The…

Q: The volume of a sphere is increasing at a rate proportional to the reciprocal of its radius. At t =…

A: Given that the volume of sphere is increasing at a rate proportional to the reciprocal of its…

Q: We previously modeled daylight hours with the function f(t) = 12.13 + 2.77sin(πt/6-1.6), with t…

A: Given: Daylight hours model is given by, f(t)=12.13+2.77sinπ6t-1.6, where t is measured in months.

Q: 2the second derivative test to find the loscal maxilnum and minimulin of thie functioni 3 f (x}こ 2メ2…

A: To find the local maxima and local minima of the below function. fx=2x3−3x2−12x

Q: 1. For the function f(x) = 3x? + 8x – 2, (a) Find the slope of f(x) at x = 3 | (b) Find equation of…

A: According to the bartleby guidelines, for more than one questions asked, only the 1st question…

Q: Use the chemical reaction model with a given general solution of y = y = 90 grams when t = 0; y = 12…

A: Solution of given question is written in below steps.

Q: e) The function f(x) = log(x)log(x) with x %3D Jse fzero to find a zero of its derivative. What is…

A: The given function is f(x)=log(x)log(x); with x≥1