Let f: [-2,2] → R be defined on [0.2] by f(x)= {2 rove that f is Riemann integral. X≤0 x < 0

Q: Let f be a function defined on [0,1]. Which of the choices is not enough to prove "f(x) >0 for all x…

A:

Q: Suppose X has the discrete topology. Then the infinite product X with the product topology is also…

A: It is given that X has the discrete topology. Check whether the infinite product Xw with product…

Q: Given vectors and with || = 8 and || = 13 and an angle of 50° between them. b) Find the angle of ū -…

A:

Q: . Consider the vectors W₁ = W2 1 0 and the subspace W = span{W₁, W2, W3} CR¹. (a) Find an orthogonal…

A:

Q: 2. Use the elimination method to solve the system y₁ = 2y₁ + y2 + et, y2 = y₁ + 2y2 - t.

A:

Q: Q4. Find dz/dt where z = 2xy - x² y² and x = 2t, y = t²

A:

Q: . What is the sum of the measures of the exterior angles, one at each vertex, of a polygon with 26…

A: (5) To find the sum of the measures of the exterior angles, one at each vertex of a polygon with 26…

Q: marks. THE CO igle in 111° 103° 122 polygon all of ning for

A: We know that sum of all angle of pentagon = 540 And 4 angle is given 122, 103, 111,90 and let assume…

Q: Find the differential equation such that y(x)=c₁(x-4) 8+c₂ln(x-4) (x-4) 8 O 64x2 d²y d²y dx² +60x dy…

A:

Q: Which of the following is a binary operation on the set of positive real numbers? a. a*b = √a + √a+…

A:

Q: Write an equation for the polynomial graphed below 6 + 5+ 3 4 5 5+ y(x) = -2 -1 Check Answer 4 3 + 2…

A: To Determine: The equation of the polynomial graphed in the given image.

Q: ing pay which the customer still owes $8 t

A: (a) Find the value of A for which the customer still owes $8480 at the start of each month.

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: The values of b and c for which the identity f(x + 1) - f(x) = 8x + 3 is satisfied, where f(x) = bx²…

A:

Q: (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the…

A: This is the question of differential equation and direction field.

Q: Find cos(4x) sin(4x) da.. To cos(4x) sin(4x) dx : =

A:

Q: 4x₁x₂x₂ = x2 X2 = 3 2x₁ + 6x₂ + x3 = 9 x₁ + x₂ + 7x₂ = -6

A:

Q: Taylor Series Approximation Formula f" f"" (a) ² f(x) = f(a) + f'(a)(x − a) + ¹¹¹(a) (x − a)² +…

A:

Q: slope of the line that connects the following two points?Point 1: x = 2 y = 5.6Point 2: x = 0.6 y =…

A:

Q: I want to know that the solution of below follows a = a₁v + a2v0 where v is…

A:

Q: Solve the system of differential equations. 2x + 2y - 17x + y' 4y x (0) = -2, y(0) = -17 =

A:

Q: 2- Let f: [-2,2] → R be defined on [0.2] by f(x)= {2 prove that f is Riemann integral. X≤0 x < 0

A: Given : f : [-2, 2] →ℝ defined as   f(x) = 3x≤02x&gt;0. To prove : f is Riemann integrable.

Q: given data. Ro

A: Let the equation of regression line by least-squares method is y = a + bx Where y is dependent…

Q: with y(0) 2 and y/ (0) = -1. y' + 4y = 3 sin 2t

A:

Q: u are on a 4-week vacation, you will play at least one set of tennis matches each day, but you…

A: Nos of week vacation: 4 Given condition: Play at least one set of tennis matches/day. Can't play…

Q: (A) Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer…

A:

Q: evaluate the triple integral given by fff (x + 2y)dV, where E is bounded by the cylinder y = x² and…

A:

Q: Find the exact values below.

A: (i) Given,         sec7π6=

Q: List all the subfields of the field F262144 in which the polynomial x³ + x² + 1 has a root.

A: (Subfield Criterion) Let Fq be the finite field with q = pn elements. Then every subfield of Fq has…

Q: Given vectors: ū = (4, 9), v = (-8, 15) and w=(2, 10) a) Show that and w can span R². b) Write u as…

A:

Q: 1. Find the numerical Integration of cos(x) + sin(x) where n = 4 using trapezoidal rule.

A:

Q: 2. y = ln(x² - 1), 2 ≤ x ≤3 ;y-axis

A: The given problem is to find the area of surface of revolution generated when the given curve is…

Q: The Cauchy's formula for a Rectangle: Let Q be an open subset in C and f be a complex differentiable…

A:

Q: 3 y = 4 0.2x +5

A:

Q: Ex.5 Given the Jordan curve y that is the counterclockwise oriented boundary of the set T= {z=x+iy :…

A:

Q: y' (t) = sen (5t) - 25 25 [y(u)du y(t) = sen (5t) *g(t). When solving. With y(0)=0 you obtaing the…

A:

Q: 11. Determine the solution of u (x,0) = 0, u (0,t) = h, where h, k, and A are constants. Utt = c²ur…

A:

Q: 8. Use any method to find the general solution of the system I' 2 = + [1/₂].

A: We solve by eigenvector method.

Q: One section of a suspension bridge hangs between two towers that are 50 feet above the surface and…

A: To find: The equation of the parabola that is shown in the given figure.

Q: =red pair on the function y = -5 sin(x - 60°). transformed ordered pair in the first spot and record…

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: 6. The graph of the function y = x¹ is transformed to the graph of the function y=-[2(x+3)]¹ + 1 by…

A:

Q: For the graph below, find an Euler circuit in the graph or explain why the graph does not have an…

A: To find- For the graph below, find an Euler circuit in the graph or explain why the graph does not…

Q: Express the region as a union of Type I or Type II regions and evaluate the integral ffy dx dy. YA 1…

A:

Q: How many second are there in a year

A: Solution: We know that, number of days in a year = 365 Number of hours in a day = 24 1 hour = 60…

Q: Use the Laplace transform to solve the initial value problem where y'' - 3y' + 2y = f(t), y(0) = 0,…

A:

Q: that the function. 22²2² Bin 12 f(x) == x2 0 (x=0) of bounded variation on [1,1]. کر ۔ (x+0)

A:

Q: aplace transform, solve the IVP. = 5y₁ - 4y2-9t² + 2t, y2 = 10y1 - 7y2 - 17t² - 2t, _0) = 3, y₂(0) =…

A:

Q: If the system -4z 7:= 5z 7y 7= 4 -24z + 24y + hz = k has infinitely many solutions, then k= 4y - 3…

A: To find- If the system  -4x - 4y - 7z = -35x - 7y + 7z = 4-24x + 24y + hz = k has infinitely many…

Q: Draw a direction field for the given differential equation. How do solutions appear to behave as…

A:

Q: dentify the vertex, axis of symmetry, and x-intercept(s). vertex     (x, f(x)) =

A: