of the functions f(t) = e² implified.

Q: Find a formula in terms of k for the following determinant - -3-4-6 det -1 8-9-0 k -1 3

A: We have to find a formula in terms of k for the following determinant:

Q: Let n be a nonnegative integer. Express each sum in closed form (without Zor ellipsis) by using…

A: Introduction: The binomial theorem is one of the most important and applicable theorem in classical…

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Q: A 50-cm metal rod initially at 20°C has its left end maintained at 50°C and its right end at 100°C.…

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Q: Minimise x2+y−2xyx2+y−2xy subject to the constraint y=1

A: Given function is fx,y=x2+y−2xy and given constraint y=1. We have to minimize the function is…

Q: Mike, Claire , Raul and Anna are enrolled in the same school. One student is a math major, one is a…

A: (i) Mike and math major are next door neighbors therefore Mike is not the math major (ii) Claire…

Q: Evaluate: ffdxdydz 0 - 12/2012 0 1 01/1/201 0 -1 S

A: To find- Evaluate: ∫01∫eez∫1yezxy dx dy dz

Q: y'-10y' +25y = 0; 122 y(0) = -5, y'(0) = -- 5 The solution is y(t) = -5 e 5t+t 5t 3 te

A:

Q: Prove that the general solution of the nonhomogeneous linear system, 6 x-(1-1)×(1)²² · (-)-(-) X + +…

A: Please see the attachment

Q: QUESTION 4 (a) The Discrete Fourier Transform (DFT) is of paramount importance in all areas of…

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Q: is de -Idc 0 K f (at) = { 1 de (b) Fourier coefficient, a If ripple-free load current in…

A: As per the question we are given the periodic function f(ωt) and we have to find the Fourier series…

Q: A y=1 x=y² B y=x² C (11) X=1 X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and…

A: Given: Three regions A, B and C defined as: where region A is bounded by the parabola x=y2 and the…

Q: A region is bounded by the curve y = √2-x and the lines y = -x and the x-axis. The integral…

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: 5s-2

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Q: (b) Find the inverse z-transform of the following: i. ii. iii. Z-1 Z-1 2z (z-2)², 9z(z+3²) (Z-32)³…

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Q: Find the general or particular solution of the following differential equation. 1. (6x3y + 2)dx -…

A: Let us start solving the problem step by step

Q: 5. x' 6 -6 -9 5-9 0-1 -1 -1 X

A: Given system is x'=-76-6-95-90-1-1x Let A=-76-6-95-90-1-1 Let the eigenvalue of A be λ Then…

Q: Show

A: We find Laplace transform of given function.

Q: Consider the following system x = (a 1 ) x + ( 1 ) u 1 (2) Find the values of a so that the system…

A: We know that in such problems eigen values  will give the result.  If the eigen values  are real…

Q: Question 3 not exist. a) { b) [: Find the limit, if it exists, or show that the limit does lim…

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Q: ccident in a city is 7 during half a day.. he next 24 hours?

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Q: for the volume below...if Cylindrical Shell method was used ...What are * ?the limits of integration…

A: Given: The solid obtained by rotating the region bounded on top and right by curve y=-x2+10x-24, on…

Q: Find the number zeroes with which the decimal representation of 700! terminates. a (a) 245 O (b) 199…

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Q: a) Using Fourier integral representation, show that cos xw+ w sin xw 1+ w² So -dw= 0, TT 2 ¹е-x, b)…

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Q: Determine the rank of the matrix. [10-4 0 4] 01-3 0 4 00 ΟΙΙ 0 0 0 0 0 05 02

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Q: Find the solution of the given initial value problem: y(4) + 2y″" +y" + 8y′ − 12y = 6 sin(t) +…

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Q: a) Find the domain of f. b) Find Mon lim (x,y) →(0,0) f(x, y) = = rye* 5x10+26y f(x, y) or show that…

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Q: Use Cauchy's Integral Formula and Cauchy's Integral Formula for Derivatives, when appropriate, to…

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Q: Find an explicit description of the null space of matrix A by listing vectors that span the null…

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Q: 7. Perform least squares on the following inconsistent system (Ax-b) by solving for using the normal…

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Q: Find the volume of the solid that results when the region enclosed by 1 49² and x = 7y² is revolved…

A: Sol: First The volume for solid of revolution between the curves y=149x2 and x=7y2 around x=0 (i.e.…

Q: Using the Regula-Falsi Method, determine the root of the function below satisfying the given…

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: imate the relative error in surfac 025

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Q: Let R(x) be the statement "x spent at least 45 minutes preparing for his/her online class wher e…

A: This is a question of Logic.

Q: Find M13 and C13. M13 - C13 = i 39 39 A = -90 0 8 1 0-5 -1 1 -9-2 50 2

A: Given matrix is A = -906-100-5-181-9-21502

Q: Pleasantburg population model P(t)=at2+bt+PO PO is population. that population Pleasantburg t years…

A: Consider the given future population quadratic model, Pt=0.7t2+6t+15,000 where t is years after…

Q: (a) f(1) = [a] (b) f'(0) = [b] (c) Is f'(1.5) >0? ("yes" or "no") [c] f(h-1)-f(-1) h (d) lim h→0…

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Q: 1. ส IME IM8 IM8 (cos(n)) ln(n) 2.(-1)". 3. √n n+ 9 n + ln(n) 12 – 7

A: According to bartlby answering guidelines we can only answers three sub parts of a question…

Q: Use the Limit Comparison Test to determine whether the series converges. 3√²+1 3 k=1 √k +7 8!!! Σ…

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Q: Compute the determinant of the matrix A, below, by using row operations to transform A to an…

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Q: Q1. A Diginacci sequence is created as follows. • The first two terms are any positive whole…

A: given Diginacci sequence is 5,8,13,12,7,10 a) list the first 26 terms of the Diginacci sequence .…

Q: Determine the Z-transforms of the following expressions (ii) (cos+isin)"

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Q: 10. Choose the construction that is illustrated below. IQ A. copying an angle B. bisecting an angle…

A: Note: We answer first question only as a policy. Please resubmit, with remaining questions incase…

Q: Subject: Q: what is reflexive. Bahach space? solution :-

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Q: Solve the initial value problem using Laplace Transform Method y' + 9y = 0 y(0) = 2 2 y(t) = - ²-sin…

A: Sol: y' +9y=0Take Laplace transform of both sides of the equationLy' +9y=L0Use the linearity…

Q: Evaluate fz² In z dz using integration by parts 2 Onz-+ +c Oz-+ Onz-+c Oz² Inz - 2 + c

A: ∫z2lnzdz=∫(lnz)z2dz=(lnz)z33-∫1zz33dz+c=(lnz)z33-∫z23dz+c=(lnz)z33-13z33+c=(lnz)z33-z39+c=z33(lnz)-z…

Q: The curve defined by ax^3 + bx^2 - 4x + 12 cuts the x-axis at three points. Two of them are known: 1…

A: We will use the knowledge that at x-axis we always have y=0 and here y=ax^3 + bx^2 - 4x + 12

Q: Let P(x) be the propositional function that means "x is an odd number greater 4 but less than or…

A: Given- Let Px be the propositional function that means "x is an odd number greater than 4 but less…

Q: I F 26. 23 13 27 H 14 10 B E H 29 9 15. 25 24 K Find the shortest path from vertex A to vertex L.…

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Q: matrix product AB, if it is defined. 1],B= -1 undefined. 1 -8 4 40 -22 2].

A: We want to find the product if possible.