a) 1 (x-1)(x+2)(x+4)

Q: 3. Given x(n) and n) as shown in the figure below, please compute the linear convolution of x(n) and…

A:

Q: Ex.2. Given dy_y-x, with y = 1 for x=0; 9 dx y + x find y approximately for x = 0.1 by Euler's…

A:

Q: -1 Given 4-3 x-2 0 0 2 x+1 and 14--5, Determine the value of rand (4)

A:

Q: An equation shown below for the terminal side of an angle 8 in standard position is given with a…

A: Please see the attachment

Q: A vibrational system consisting of a mass m = 1/4 slug attached to the spring 2.5lb/ f t is modelled…

A: The given differential equation is d2ydt2+5dydt+6y=7 sin4t........(1) To find: the general solution…

Q: 1.5 1 R₂ 0.5 R₁ y = 1 y =√x x = 1 X -0.5 A 0.5 1 R₁ is the region bounded by the curves x = y³ and y…

A: Firstly we will make the equation of curve which we have to integrate to find the are enclosed…

Q: For the function below, how many regions are at least needed to facilitate the tracing of the curve?…

A:

Q: Use the shell method to find the volumes of the of the solids generated by revolving the regions…

A:

Q: The general solution of the equation = (1+²) cosx is y(x)=tan (C+ sin x). With the initial condition…

A: The given differential equation is dydx=(1+y2)cosx. To Find: y(0.4), y(0.5), y(0.6). Using Euler's…

Q: The air in a room with volume 180 m³ contains 0.3% carbon dioxide initially. Fresher air with only…

A:

Q: 2. Find the inverse transform of 2s² +5s-6 $³3s2-13s +15

A:

Q: Problem 4 Find the area inside the cardiod r=1+ cose and outside the circle r = 1. Sketch polar…

A: The area of a region enclosed by a polar curve is also an application of integral calculus. For the…

Q: 2y - 3x ≤ 20 4x + y ≤ 200  y ≤ 40 x ≥ 0 , y ≥ 0 From the given constraint above, provide the…

A:

Q: bi 1-3 2 b2 and b -2 5-1 Let A 3-4 2 b3 Determine if the equation Ax = b is consistent for all…

A:

Q: If a graph has 8 edges, how many vertices does it have?

A: We have to solve given problems:

Q: Find the explicit solution of the initial value problem, x+y = x² ln(x) y² where y(1) = 2 and x > 0.…

A:

Q: Q2/ A string fixed at both ends with a unity length subjected to the given condition. Solve the…

A: Note

Q: 5) x+1 x²(x+2)3

A:

Q: Assume that is a continuous real function on (a, b) such that φ √(x+³) <; p(x) + 3 p(y) for all x…

A: If the line segment connecting any two points on the graph of a real-valued function does not lie…

Q: 3 - The value of 8 (4) is √n.r¹ a) b) r² 1 √π.r² c) 1 √π.r² r² 1 √.r¹ 3

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

Q: In this set of exercises, H always denotes a Hilbert space. If M is a closed subspace of H, prove…

A: Given that M is a closed subspace of H. To prove:M=M⊥⊥ .

Q: How many different spanning trees does the graph C₁2 have? Count different trees as different even…

A:

Q: Determine the number k so that the system of equations does not have an unambiguous solution. Solve…

A:

Q: 4. Describe how you can tell from the scalar equations if two planes are a) parallel and distinct or…

A:

Q: 18. Explain why a lim √√x-3 X-73 b) lim x²-4 19.) the given x-2x²-4x+4 lim c.) fox)=√5 if x 21 22,…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 2. Prove that Qn [2, 3] ~ N.

A: Two sets A and B have the same cardinality if there exists a bijection (onto , one-to-one…

Q: Write the smallest differential operator that annihilates the given 3x +x²e + sin(5x) e3 sin…

A:

Q: Q2 Choose the word true or false for each of the following (for each branch three degrees) 00 5…

A: Q2 1.True 2.Symmetric 3.False 4.True 5.answer is pi 6.False

Q: (xy² + bx²y) + (x + y)x²y = 0 Find a value of “b” for which this differential equation is exact.…

A:

Q: The Integrating (x²y³ + xy) factor of the equation dy dx 1 is

A:

Q: Give examples of two sets of vectors in P3 such that one of them is linearly independent and another…

A:

Q: A thin plate with uniform density is placed in the region bounded by the circle x² + y² = 25 in the…

A: To find : Center of mass of the plate with uniform density of the region bounded by the circle…

Q: Lap lace Transforme. a wsing First Principales only, show that laplace trasform. 1 (5) for f(t) =…

A: (a) The given function is ft=sin3t4 To find: the Laplace transform of f(t). Please post the multiple…

Q: The augmented matrix is given for a system of equations. If the system is consistent, find the…

A: The given augmented matrix is                               14-2-310013-5-1-4-2-919

Q: If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim [₁ sin nx dx = 0. n-∞ JA

A:

Q: in tarih (2x) dx S

A: The given problem is to evaluate the given definite integral of tanh-1(2x). We can solve it by using…

Q: Either prove the wff is valid or give an interpretation that is false: (p.71) 18. (EEX)[R(x) V…

A: Introduction: The rules of inference are also applied in case of quantified propositions. Along with…

Q: How many edges would a connected planar graph if it has 13 vertices and 9 faces?

A:

Q: The divergence of a vector D for rectangular coordinate is equal to [1/p / dp (pDp)] + [1/p Dø/dø]+…

A: We have to find divergence in rectangular coordinate

Q: 3 (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and (height).…

A: Given that the dimensions of solid in the form of a rectangular box is L, B, H Where these are the…

Q: 5) (a) Show that F = (8-14xy2 + 2ye²x) + (e²x - 14x²y) y is conservative. (b) Find a potential…

A:

Q: Given the differential equation: 2xy x²+1 - 2xdx [2ln(x² + 1)]dy = 0, y(0) = e², h = 0.1 Find…

A: Given the differential equation: 2xydxx2+1-2xdx-2-lnx2+1dy=0 with initial condition y0=e2 Find the…

Q: Construct a graph with vertices P, Q, R, S, T, U whose degrees are 4, 3, 2, 3, 3, 1 What is the edge…

A:

Q: How do you find the partial derivative of a given function using the definition formula?

A:

Q: If a graph has 5 edges, how many vertices does it have?

A:

Q: 6. For the exponential function given below: f(x)=2x-1+4

A: We know that the range of a function is the set of values of the dependent variable for which the…

Q: 2 21 Compute the adjoint matrix and inverse matrix of the following matrix: -1 1 2 1 1 If the…

A: Explanation of the answer is as follows

Q: b) Find the QR decomposition of the matrix [2 -2 17 2 1 0 1 1 0 1 72-0

A: To find- FInd the QR decomposition of the matrix 2-21221011101

Q: Consider the initial-value problem y'= y, y(0) - 7. (a) Use Euler's method with each of the…

A:

Q: (12x³ + 5x²)dx Evaluate Select the correct response: 5 ○ 3x² + x³ + C 3 ○ 3x¹ + 5x³ + C ○ 36x² + 10x…

A: Indefinite integral: An integral with no upper limit or lower limit is called an indefinite integral…