Determine whether the set of ordered pairs is a function. {(3, 1), (3, 2), (3, 3), (3, 7)} O function not a function

Q: Is the following statement true or false? Let f(x) = e- if a 21 and f(x) = 0 if x < 1. Then f(x) is…

A: Given function is f(x) = e-xifx≥10ifx&lt;1

Q: Problem 4 The helix r(t) = (cos(at/2), sin(rt/2), t) intersects the sphere x2 + y2 + z2 = 2 in two…

A:

Q: There is a quiz on SCIENCE today and you are preparing your notes and calculator. Later, you noticed…

A: Solution :      Let us define the following symbols: mr : I was replacing my calculator batteries in…

Q: erential equation: an y = x2. If y(0) e value (corrected up fy(1)?

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t2 – 3)i + tj; t = 3 T(3) N(3)

A: Given r(t) = (t2-3)i + tj ; t = 3

Q: d?y 2y+y = x2e3x dy 1. Solve by D operator method dx2 dx 2. Solve by method

A:

Q: Which of the following is always true for any real numbers x, y? For real ɛ > 0, if |x-y| 0. m >n…

A:

Q: what is a total dominating set ? And give examples

A: Here we use graph and definition to explain this

Q: Identify the correct truth table that represents the compound proposition (p -g)v(-p-r)* P-r (p-…

A:

Q: The output of the sixth row in the truth table of the compound proposition -p - (q -r) is ра -p → (q…

A:

Q: Let where A and B are some constants. given that ü = , V = ü + 10v = find the value of the product…

A:

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Given that the column of Q were obtained by applying the Gram-Schmidt process to the columns of A.…

Q: what is a maximal Matching ? And give examples

A:

Q: Solve for the indicated higher-order partial derivatives, fræ, fxy, fyy. • f(x, y) = Vx2 + y?

A:

Q: dx2 dx 4. Evaluate L(sint - cost)?.

A:

Q: Discrete Fourier Transform (DFT) of x[n]=(0.9)" for 0<n<3. → X pET[k] = {2,3j,4,–3 j}using the…

A: Sol

Q: Transform the following equations into a system of first order equations. u" + 0.5u' + 2u = 0

A:

Q: differential equations: Y' = ay + bx   X' = cy Where a, b, and C are constants. 1 ) Use the two…

A: Sol

Q: 6 9| Find the determinant of 12 7 4 1 3 | 3 191

A:

Q: 4. Find a general solution of the linear system. x' = 2x + y = x + 2y – e2t

A:

Q: T(E,)n T(E) = {0} and T(E,) + T,(E,) = F. %3D Show that T(E,) and T2(E2) are closed subspaces, i.e.…

A: Sol

Q: Find aw/ar and əw/əs when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs. %3D

A: We have to apply the partial derivatives.

Q: Find all second-order partial derivatives of the function f (x, y) = x + xy – 5x³ + In(x² + 1).

A:

Q: Find the inverse Laplace transform of s+1 F(s) = e-2s, %3D s2-2s + 2

A:

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS: F(t) = for…

A: We have , Ft = 0 , -π &lt; t &lt; 0t2  ,     0 &lt; t &lt; π We have Fourier series ,  Ft = a0 +…

Q: aw- Let Z[/2] = {a +b/2 |a, b e Z} and let H = { b а 2b : a,b eZ }. a Show that Z[ /2] and H are…

A:

Q: Assume that the recursively defined sequence converges and find its limit. a, = - 12, an - 1 = /24 +…

A:

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° +…

A: Given are the total sales of a company (in millions of dollars) t months from now are given by…

Q: Find the exact arc length of the curve over the stated interval. y = 3r/2 – 4, from a = 0 to r = 1…

A: We have to find Exact Arc Length of the Curve over the stated interval.

Q: if x = 2 Let f(x) = eas ; for the if x + 2 function to be continuous at x = 2 the value of a is

A: Given function is f(x) = x2,ifx=2eax,ifx≠2

Q: Write -4 + 3i in polar form

A: Polar form of the complex number

Q: he curve y = X fc (vî (yi

A:

Q: dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x2 dy + 2y = e*. 4. Evaluate L(sint dx2

A:

Q: 1. Solve by D operator method d?y 2y +y x2e 3x. dy dx2 dx Solve by method of variation of parameter…

A:

Q: Find the area of the shaded region. The image is not to scal y = y= Consider c=64. Enter the exact…

A: Area bounded by the region

Q: Use an appropriate test to determine whether the series given below converges or diverges. (In n) Σ…

A:

Q: Solve the following initial value problems in radians by using Runge Kutta method. 3.18 dr dy…

A: Given initial value problem is3.18dydx-xdydx-2.53e-2x=sin7y6y0=6.2h=0.21780.6192≤x≤1.3446The…

Q: 1. Solve by D operator method dx2 d?y 20 +y = x²e3x dy dx

A:

Q: Find the inverse Laplace transform of 2s s+1 F(s) = e g2 – 2s + 2 -

A:

Q: Find all the roots of the given function. Use preliminary analysis and graphing to find good initial…

A: Given the function is  fx=4lnx-x2+6x-3

Q: itely generated projective modules over a local ring are free. jective modules are flat, but the…

A: Sol

Q: a bc If det de f = -4 g hi -- a - 8g 6b - 48h c - 8i then det бе g 6h i

A:

Q: d) Determine the form of a particular solution of y() + 9y" = 1- 8 sin 3x Do NOT SOLVE for the…

A:

Q: 1. Solve by D operator method d?y 2y+y = x²e 3x. dy dx2 dx So

A:

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS: F(t) = for…

A: Fourier series of the function

Q: Let where A and B are some constants. given that ü = , V = ü + 10v = find the value of the product…

A:

Q: d'y 1. Solve by D operator method dx2 dy - 2y+y = x²e 3x d?y dx Solve by method of variation of…

A:

Q: Suppose the Fourier transform F(w)=re-lwl, is known. Show that the inverse Fourier transform, viz.,…

A:

Q: What is the rate compounded semi-annually that results in P625 accumulating to P1100 in 42 months?*…

A:

Q: ine the slope of the tangent line at the non-pole point on C2 which inter he integral that gives the…

A: Sol