Calculate the convolution (f+g)(x) of the following functions f(x) and g(x): 0 (x < 0) f(x) = = {²-² 0 (x < 0) (0 ≤ x), g(x)=x e-¹ (0 ≤ x ≤ 1) (1

Q: Evaluate the following. Show your complete solution. S. (2w² - 5w+3)dw 4.

A:

Q: H.W: Find of and of for the functions: əx 3. f(x, y) = (x² − 1)(y + 2)

A:

Q: 4. Evaluate the double integral: Sa+1 ¹/3 27 +1 (Hint: Change the order of integration to dy dr.) dr…

A:

Q: Use the Jacobi method to find approximate solutions to 3x110x2 - 4x3 = 9 20x1 + 2x2 + 3x3 = 25 2x12…

A: Don't confuse with the notation of variable . Here we use xk,yk,zk for approximate first ,second…

Q: Use Stokes' theorem to evaluate frotF. ds. F(x, y, z) = xyi + e²j + xy²k; S consists of the four…

A: To find- Use Stokes' theorem to evaluate ∫SrotF·dS, Fx, y, z = xyi + e2j + xy2k; S consists of the…

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²-3x² and…

A:

Q: Find the roots of complex numbers √√64 e¹.4i

A: We have to find the roots of the given complex number

Q: (D²-5D-6)y= 18x² + 12e²x (by Method of Undetermined Coefficients)

A:

Q: Show that (2+x, e) is linearly independent. Plz solve both parts within 30-40 mins I'11 upvote your…

A:

Q: and the xy plane.

A: Given,        z=1-2y2-3x2 and the XY-plane.

Q: William Beville's computer training school, in Richmond, stocks workbooks with the following…

A:

Q: 10. The set of automorphisms of a group is a group under the operation of function composition. True…

A: Isomorphism : A bijective mapping  that preserves binary compositions in both groups is called…

Q: 4. Given the functions f₁(x) = (2) • £.(+)-(!) and 12(x)-(+) = 10 f₁ increases rapidly than f₂ fill…

A:

Q: - complete solutions.

A: The co-ordinate related as x=rcosθy=rsinθz=zx2+y2=r2θ=tan-1yx Then,…

Q: (c) The figure shows two similar prisms, if the volume of Prism I is 40 cm³, find the volume of…

A: Solution :-

Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

A: Note that the given cone can be obtained by rotating a line by the axis of the cone. Using slice…

Q: Explain how to interpret these statements: “the block is not a quadrilateral,” “the block is a…

A: The statements are: Statement 1: the block is not a quadrilateral Statement 2 : the block is a…

Q: 13. Let P(x) be the degree 10 polynomial through the 11 points (-5,5), (-4,5), (-3,5), (-2,5),…

A: We will find the value of P(6) using the Newton's forward difference interpolation polynomial of…

Q: Let M, be the additive group of all nxn matrices with real entries, and let R be the additive group…

A:

Q: ns in t 2 =4

A: The co-ordinate related as x=rcosθy=rsinθz=zx2+y2=r2θ=tan-1yx The Cartesian co-ordinate and…

Q: Exercises: 1. An object moves in space with acceleration. +4j+(4-t)k. alt (t) = -ti When t = 0, it…

A: i. Here we have given that the acceleration on an object is, at=-ti+4j+4-tk we know that, vt=∫atdt…

Q: b) Find the area between the 2 curves f(x) = x² + 4 − 4x and x - axes and border with the two lines…

A:

Q: (b) In the figure, AOC and BOE are straight lines. Angle A and angle B are equal. ED is equal to CD.…

A:

Q: Rusing cylind √1-2², 09 the solid B th +22=2 using

A: 6. (a) The required solid is R=x,y,z: 0≤x≤1, 0≤y≤1-x2, 0≤z≤4-x2+y2. In cylindrical coordinate…

Q: I 1 Write the number in Find the quotient. standard form. 200,000+30,000+500+40+2 1 1 Write a…

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

Q: M

A: Polynomial algorithm for finding an optimum  2RDF (or W2DF) of proper interval graph. So yes, there…

Q: no of edges for a tree with number of vertices 10 is

A:

Q: A periodic function is defined by f(t)= ={₁ -, πt, -<t<0, 0 ≤t<π, f(t + 2π) = f(t). This function is…

A:

Q: Which Riemann sum represents the illustration shown? 3 La 2- 1 3 6 9 3 -Xi • Axi i=1 3 -X¡ • Axi -Xi…

A:

Q: D² - 4D + 4)y= e²x sec²x (by Reduction of Order)

A: Solution :

Q: 2. (a) How many lines of symmetry does a regular octagon have?

A:

Q: 1. Find the linear regression у 0.7 0.19 0.96 0.21 1.13 0.23 1.57 0.25 1.92 0.31

A:

Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

A: Given- If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in…

Q: (4) (y² +4)xpq-2=0 +tan¹+c z=alnx+tan

A: Let us consider the given PDE F(x,y,z,p,q)=0 The Charpits formula…

Q: Answer the followings: 1. Let A = [₁]and B = =€ GL₂(R). Compute BAB-1. E A. [9] B. [29] C. 149 D.…

A:

Q: 2x²y" − xy' + (x - 5)y = 0

A:

Q: Define a relation T on R by xT y if and only if (sin^2)x + (cos^2)y = 1. (a) Prove that T is an…

A:

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y²-3x² and…

A:

Q: Use the elimination method to find a general solution for the given linear system, where…

A:

Q: The diagram below shows a sketch of y = e* - 1. Find the area of the shaded area. AY e-1 Z P 18

A:

Q: The following diagram shows two triangles. 10 0 1 2 4 6 9 10 5 DISTANCE (Inches) The green (upper)…

A:

Q: Consider the function v(x, t) that satisfies the PDE vx + 8xvt=0 for x>0 and t> 0, and the initial…

A:

Q: 3.6 Let A be a subset of a metric space (S, d). Show that if H is a nonempty open subset of S and An…

A:

Q: 2) y(4) + y + y + y = x³ + 2x + 1 Find the special solution to the following differential equations…

A:

Q: Find all spanning trees of graph G

A:

Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A:

Q: A gas station sells Q gallons of gasoline per year, which is delivered N times per year in equal…

A:

Q: Show that (2+x, e) is linearly independent. z solve both parts within -40 mins I'll upvote your swer…

A:

Q: and q7 both full explanatio

A: Introduction: The process of modifying an existing graph, or graphed equation, to produce a…

Q: 5. Use Cartesian coordinates to evaluate Jff v² av where D is the tetrahedron in the first octant…

A: