This can be used in either equation to find the value of a 0.001875/°F. Thus, the...
1. Linear Approximation First, read Section 4.1 and the lecture notes of days 16 and 17. The steps for linear approximation of are as follows 1. Choose an objective function f whose value at r we want to estimate and choose a center value a closed to r 2. Compute the linearization L(x) - f(a)f'(a) (z - a) of the objective function 3. Compute L(x) to get the required approximation 4. Compute the second derivative and decide whether the linear...
Given the function below f(x) = 3 – 45x3 + 72 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) Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. error (Approximate to at least 5 decimal places.)
1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ = 0.4, Compute the relative error: Then compare f(x) and L(x) LLarrul × 100% 1f(x)1 r(x)l 1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ...
To calculate the effective resistance of a circuit with resistors in parallel the following equation can be used: Reffactive R R2R R,n a. If the resistance of each resistor is labelled R, to R, write the effective resistance of the circuit in sigma notation b. The voltage applied to the circuit varies with time, t, and the initial voltage variation applied to the circuit is described by the function oi. Find a binomial series approximation of the voltage using the...
REGRESSION ANALYSIS The owner of large chain of ice-cream stores would like to study the effect of atmospheric temperature on sales during the summer season. Temperature is the independent variable. A random sample of 21 days is selected with the results given as follows: DAILY HIGH SALES PER STORE (Y) TEMPERATURE (X) (F) DAY 48 25000 2 28000 60 3 63 28500 4 75 30500 5 80 33600 82 32500 6 7 85 36800 8 88 39000 41000 9 90...
Question 1 < Find the tangent plane to the equation z = 3.12 2y2 + 3y at the point (-4, -3, - 75) 2 Question 2 Find the tangent plane to the equation z = 5ex°-by at the point (12, 24, 5) Question 3 < > Find the tangent plane to the equation z = 5y cos(3x – 2y) at the point (2,3,15) z = Question 4 at the point (4,2,8), and use it to Find the linear approximation to...
Internet Users versus Award Winners Question Help x par correlation coefficient r, and find the P-value ofr. The accompanying table lists the numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for diffe Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a=0. Click to view the data on Internet users and scientific award winners. 20.3 Construct a scatterplot....
Problem 1 - Gas Turbine Engine. Assume the gas turbine engine operates on basic non-ideal Brayton cycle with the following specifications Inlet Condition: Dry air at 537 R and 14.7 psia Pressure Ratio: 24.2 Actual Exhaust Temperature: 950 F Compressor and Turbine Efficiency: 85% Actual Power Output 34 MW Using given/assumed values, determine: a) firing temperature, b) cycle efficiency, c) air mass flow rate. Problem 2- HRSG. Assume the HRSG is used to produce saturated steam at 600 psia using...
[7] 1. Consider the initial value problem (IVP) y′(t) = −y(t), y(0) = 1 The solution to this IVP is y(t) = e−t [1] i) Implement Euler’s method and generate an approximate solution of this IVP over the interval [0,2], using stepsize h = 0.1. (The Google sheet posted on LEARN is set up to carry out precisely this task.) Report the resulting approximation of the value y(2). [1] ii) Repeat part (ii), but use stepsize h = 0.05. Describe...
help wanted?? thank you explain correctly Problem 1 Use the trapezoidal rule technique to approximate the following integrals: a) 「(x2+1)dr(Note: use 0.5 increments forx) b) sina d INote: use a MATLAB function to subdivide the interval into eight equal parts) c e dx (Note: use 0.25 increments for x Problem 2 Use the Simpson's rule to evaluate the following integrals aDdr Problem 3: Given the polynomial: x3-6x2 + 30-0, Use MATLAB to find all roots of this polynomial. Use MATLAB's...