A graph of a piecewise defined function is given. -6 -5 -4 -3 -2 -1 f(x) = X I y 6 5 4 3 if x < -1 if x > 2 A -1 -2 -3 -4 -5 6 1 Find a formula for the function in the indicated form. if -1 < x < 2 P 2 3 ON -H 5 6 X

Q: For parts (a)-(e), please use the following vectors: C = (-1,-1,0) -120°, and 0₂ = 90° A = (2,4,0) B…

A:

Q: 2 Solve (x²D² - xD + 4) y = x² sin (log x).

A: Given differential equation is x2D2−xD+4y=x2sinlogx. We have to find the general solution of the…

Q: The measure of ZAOC is 90°. Find the value of x. A Br 3.x°-46% AC 14% 0

A: Consider the given diagram, It is given that ∠AOC=90°.

Q: 10 m 1º tam ² (²+3/-1) = 0 () If Stan cot 9r² + 3r − 1 n r=1 where m and n are co-prime, find the…

A:

Q: 4. (a) Evaluate the integral [ f*cos(y²) dy dx . 0

A: We have to evaluate the integral  I=∫01∫x1cos(y2)dydx

Q: 100 lakh how much million

A: We have to convert the 100 lakh in million. We know that 10 lakh=1 million. Hence, 100 lakh=10×10…

Q: Find f¹(6.0), error = error =0(h²)

A:

Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

A: Sol:- For positive x -axis:- Vector = (1,0,0) &amp; GIVEN F = (-170, 120, -80) -170120-80,…

Q: Q/infinite beam with trapezoidal loading 90: Find yp=? 40 + 9 That day + ky = EI ку diven: y = y₁ +…

A: Given below clear explanation

Q: 2. Given a system with input x(t) and impulse response h(t) given by: x(t) = t³u(t) and h(t) =…

A:

Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

A:

Q: 1 + 1 + 1 + 1 + 1 1 + 1 + 1 + 1 + 1 1 + 1 x 0 + 1 = ?

A: The equation can be written as a row as: 1+1+1+1+11+1+1+1+11+1×0+1=?

Q: prove or disprove : If F:(R,+) (R\{0},.), defined by f(x)= x +2 is an isomorphism.

A:

Q: rent iterat triple integrals for the volume of the rectangular solid in by the coordinate planes and…

A: As per guidelines we are allowed to solve one question at a time so i am solving first question…

Q: (a) Prove that : (a-1)² a²+1 a (6-1)² 6²+1 b (c-1)2 c²+1 c = 0

A:

Q: A straight line ABCD was measured as a whole and in sections. Due to variations in the accuracy of…

A: Most probable length = observation value + errrr  value

Q: 9. Evaluate the following integrals: (Simplify your answers) (a.) [x¹² cos(x-6)]. X+3 8(x-4)dx -2x…

A:

Q: Are the following functions quasiconcave, quasiconvex, both, or neither: f(x) = x³ - 2x f(x₁, x₂) =…

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

Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

A:

Q: Find the value of 2 32 tim (22 (1 - cos (2) - cos (4) + cos (2) cos (=))} x →0 8 X

A: Sol:- limx→032x81-cosx22-cosx24+cosx22cosx24Expand…

Q: Correct answer is q imples p

A:

Q: Q1. Given the nonlinear equation x = Cos ¹(x²), find the: a. First root by bisection method

A:

Q: Find the gradient of the ellipse 2x2 + 3y2 = 14 at the points where x = 1

A: It is given that the equation of an ellipse is ;  2x2+3y2 = 14 We have to find the gradient of the…

Q: & († c + c) h

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

Q: (b) Find the equation of the sphere in R³ that has the diameter from A(1, 2, -1) to B(5,-2,0).

A: Part (b):- Given co-ordinates of diameter are  A1, 2, -1   to   B5, -2,  0.

Q: 1A. A pentagon, ABCDE, represents a plot of land and has the following vertices: 4(-1,0), B (3, 1).…

A: The equation of the x axis is y=0. If If the point: x, y is reflected about the line: y=0, then the…

Q: Employ the fourth order Runge-Kutta method to integrate y' = 4e0.8t - 0.5 y from t=0 to 1 using a…

A: Using RK-4 method formula we can find the value of y(1) =6.201

Q: Find ||u₁v|| if u = (5,6), v = (8,2). A (Express numbers in exact form. Use symbolic notation and…

A:

Q: 1 A company employed 300 workers when it started and now employs 852 workers. (a) Calculate the…

A: Given: 1. A company employed 300 workers when it is started and now employs 852 workers. To find:…

Q: -0-0 and 2- For the two vectors: U- cijkuivjek find the result of the expression:

A:

Q: b) Graph the following trigonometric function for the interval 0 ≤x≤2: y = 2 sin(x)

A: Given        y=2sin(πx)0≤x≤2 Use the form as y= asin(bx-c)+d  to find the variables used to find the…

Q: Evaluate √√ √1 + x² + y² dS where S is the helicoid: r(u, v) = u cos(v)i + u sin(v)j + vk, with 0 ≤…

A: We will use surface integral of parametric surface  ∫∫Sfx,y,zdS=∫∫Dfru,vru× rvdA D the range of the…

Q: y^2+x=8.Given that y is half of x,what are the values of x?

A:

Q: Ax18x36=2592

A: Given equation is A×18×36=2592. We have to find the value of A. Divide both sides by 18×36 and…

Q: The slope of the 4.0 kN force F is specified as shown in the figure. Express F as a vector in terms…

A:

Q: Let P(x) = 20x*-7x³ be the Lagrange interpolating polynomial that approximates a function f over the…

A: Given: The Lagrange interpolating polynomial is Px=20x4-7x3 is approximate the function f in the…

Q: “Hand-in question" (only 6(a)): Use, Theorem 4.6 in the full set of lecture notes to obtain zeroth…

A: To find- Use, Theorem 4.6 to obtain zeroth order approximations, valid for t ∈ 0, 1, to the…

Q: For Questions 5-7 below, consider the following description of a two-goods example: Assume two…

A: Given below clear explanation

Q: Let a = [1, -3, 5], b = [4, 0, 8], c = [-2, 9, 1]. Find: |a + c² + |a − c|² - 2(|a|² + |c|²)

A:

Q: 2. Determine f(ƒ(x)) if ƒ(x) = x² + 2x + 1.

A:

Q: (1+5³7) (-¹-1²). C. Evaluate e Express the result in polar form.

A:

Q: Prove and illustrate by an example. V(fg) =fVg+gVf

A:

Q: Material implication says that which two connectives are basically "the same" in that whenever you…

A: Solution:--Material implication:-   In propositional logic, material implication is a valid rule of…

Q: Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: (sin(at),…

A:

Q: G] Example: Raggs, Ltd., a clothing firm, has fixed costs of $10,000 a year. These costs, such as…

A: Given: The total cost function is Cx=20x+10,000 and the revenue function is Rx=80x. To find: (a) The…

Q: Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3,…

A:

Q: (d). Use the Secant method to find solutions accurate within 10-5 for et +2+2cosx-6=0 for [1,2].

A:

Q: Q4: For Figure1, explain the difference in the output if you share the object by shx-2, and scale…

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

Q: sinx.coshy+icosx.sinhy is analytic or not

A:

Q: Variable Separable Find the general solution of the given differential equations. A. (xy² − 4x)dx +…

A: Solution :- A. Stepsxy2-4xdx+2x2+4dy=0First order separable Ordinary Differential EquationA first…