a) Let y = 1*. Then 1x=0.5= dy dx dy |x=0.5 g'(0.5) = dx b) Let g(x) be the linear function so that the straight line y-g (x) passes through the points (0,1) and (1,1). Then approximating the derivative in Part a) with g'(0.5) yields 2 4 ) The absolute error in the approximation in Part b) is

Q: 5. Find the general solution of the differential equation. 21xy' + y = 462X

A: What is Ordinary Differential Equation: Solving an ordinary differential equation is an application…

Q: 9. Obtain the general solution to the equation. (X² +36) dy + xy = 7x, y(0) = 2 dx

A: To obtain: The general solution to the equation X2+36dydX+Xy=7X, y0=2

Q: Here ê, are orthonormal unit base vectors in R³. 2.12 Let the vectors (i, j, k) constitute an…

A: Given: Vectors are  e1=-i^-j^e2=i^+2j^-2k^e3=2i^+j^+k^ To find: (a) the dual or reciprocal…

Q: Choose the correct answer Anna is a first year student, her First Periodical Grade (PG1) in GEN002…

A:

Q: EXPLAIN REPEATED ZERO EIGENVALUE?

A: Answer EXPLAIN REPEATED ZERO EIGENVALUE?

Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…

A: 2) D , E , F are 4×4 matrice. D=2460-1817325-42560 E=12-432504329-376705818-8335570-67…

Q: Ex: Find the F. T. of the periodic rectangular pulse shown below X(t) Sol: (Cn = 1 sin(n+1) * It T₁…

A: Hint: The rectangular pulse is given. We need to obtain the Fourier transformation.

Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. Answer the following questions…

A:

Q: [cos 20-i sin20cos 30+ i sin301² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De Moivre's theorem?

A: We have to solve given Questions.

Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: We know that a real number λ is called an eigenvalue of the matrix A if there exists a non-zero…

Q: Explain how the two telephone call graphs for calls madeduring the month of January and calls made…

A: Let us consider that each telephone number represented by a vertex and each telephone call is…

Q: What are the Elementary Row Operations for homogeneous linear system?

A: In this question, we have to determine the Elementary Row Operations for homogeneous linear system.

Q: Using the revenue data for Yaster Inc. for the past few years, we apply linear regression to the…

A: Given: Equation for linear regression  y=33.2x-90.5, where y= Yaster's annual revenue in billions of…

Q: - The general solution of the equation dy dx = (1 + y²) cos x is y(x) = tan(C + sin x). With the…

A: Given That: The general solution of the equation  y'=(1+y2)cos(x) is  y=tan(C+sin(x)) with initial…

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given system is x'=3-20-13-20-13x First given vector is x1=et221 Now, x1'=et221 and,…

Q: Form a DE with respect to t: x = Acos (In t) + Bsin(In t).

A: Sol

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Given : x'=011101110x  ; x1=e2t111 ; x2=e-t10-1  ; x3=e-t01-1 x10=10 , x20=12  ,   x30=-1 (a) To…

Q: An electromotive force E(1) = 120, 0t 20 t> 20 0, is applied to an LR-series circuit in which the…

A:

Q: The table shows the cost of a ski rental package for a given number of people People Cost ($) 4 5 6…

A: For the given problem the cost of ski rental service is given as (a). Since for given each row rate…

Q: Prove (1.2), (1.3), and (1.4).  

A: (a) Let x∈A∪B So, ⇔x∈A or x∈B⇔x∈B or x∈A⇔x∈B∪A So, A∪B=B∪A

Q: Name sets whose elements are (a) buildings, (b) people, (c) students, (d) trees, (e) numbers, (f)…

A:

Q: /3 0 0 8. (3) The matrix R=0 1 0 has 0 0 3/ (a) dominant eigenvalue (e) no dominant eigenvalue a O b…

A:

Q: LÚc vật hay 2 with U (X₂0) = 0 Vy (X₂0) = 0

A: Given That: The partial differential equation is  U=Uxx+UyyU(x,o)=0Uy(x,0)=0 To Find : Solution of…

Q: SIT292 : Linear Algebra : Maths – Engineering Assignment Questions : 1. Let us have the…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: If the ball has a 10 - centimeter diameter, then determines the depth that it sinks in the water.…

A: Introduction: The zeros of a function f(x) are one or more independent variable values that cause…

Q: The equation 0.5(e* e*) + 5cosx = 2 has at least one solution in the interval [1.5,2]. O True O…

A: by intermediate value theorem  f(x)=0 is any equation in [a,b] if f(a)<0 and f(b)>0 then there…

Q: Let be the set of all nonnegative integers and S be the class of all subsets of . In each of the…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: 6. By using the power method, the smallest eigenvalue A of the nonsingular matrix B equal to…

A: Answer is 'False'.

Q: Problem 4.2_14 (a) Assuming continuity of all partial derivatives, show that V x (V x F) = V(V.F) -…

A:

Q: 7-3y 2 12y-3y² S²6² dxdy

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: explan the mathematics in nature with examples

A: Here, in the question it is asked to explain mathematics in nature with examples. Matehematics in…

Q: Solve the following problem. Uzz(x, t) = Utt(x, t) + sin(3x), u(π, t) = 0, u(0, t) = 0, u(x,0) = 0,…

A:

Q: Determine the roots of f(x) = -12- 12x + 18x² - 2.75x³ a. Graphically

A: A. Hint: The given equation is f(x)=-12-12x+18x2-2.75x3. Differentiate the given function with…

Q: list the numbers (in base 10) that are in the set F(2, 2, −2, 2).

A: Here we need to list the numbers (in base 10) that are in the set F2, 2, -2, 2. Base 10 numbers: In…

Q: 1. X = 1+23+74 8- +9/10 5 6 1.1 - SHOW x as an expression tree 1.2- Is the tree binary? 1.3 - Count…

A:

Q: Round off to two decimal place The table Time (xi) Balance (y₁ = F(xx₂)) O e 1 40.00 3200 3 10 625…

A: Hi! Thank you for your question.As per guidelines we can solve one question at a time in case of…

Q: Evaluate (8) [a² √² + 1dz (c) x3 (a) [ sin(sin a) cos rdr (b) tan-1 X dx 1 + x² [²

A:

Q: 3/2 (1 +i)"

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: a) Explain what a trigonometric identity is. b) give an example of a trigonometric identity, and c)…

A: Solution a: Trigonometric Identity: Actually, trigonometric identities are the equalities, which…

Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: The given system is x1'=5x1-9x2x2'=2x1-x2 So, the matrix is A=5-92-1 We find the eigenvalues.…

Q: 23 = sint is a solution of the differential equation " + x = 0. nd at least one more solution of…

A: given that the differential equation is x"+x=0           --------(1) We need to calculate  the…

Q: The equation 0.5(e* + e*) - 5cos x = 0 has at least one solution in the interval [1,2]. True O False

A: Answer-True

Q: Explain ONE ZERO AND ONE POSITIVE EIGENVALUE?

A: In this question, we have to explain one zero and one positive eigen value.

Q: a) Describe the curve obtained when we make y = 2 and z = √2 . af b) Represent on this curve the…

A:

Q: Another student has provided the solution below to the given trigonometric equation. Identify any…

A:

Q: Consider the system. Foxy = X=Y+1=C Eg(x,y) = y=x²³²-1=0 For X₁₂₁= 1.1 and 4₁₂₁ = 2.1, we have Don't…

A:

Q: Determine whether the graph shown hasdirected or undirected edges, whether it has multiple edges,and…

A: We know that in a graph ,  A directed graph is a set of vertices connected by edges, with each node…

Q: 1. Prove the following limits B) C) (x-1)4/3-(y-1)4/3 lim (x,y) (1,1) (x-1)2/3+(y-1)2/3 = 0 x²y+xy²…

A:

Q: Solve for the corresponding differential equation of the transfer function below. 7 s² + 5s + 10…

A:

Q: (7)х FI = (776 II + X(W) and X(W); X(2t-1) zit است (2+jwj2 те (мур ризу

A: