Write a in the form of a = a¡T + a„N at t = 0 without finding T and N for r(t) = (2 + t)i+ (t + 2t?)j + (1 + t²)k.

Q: Solve the following by Laplace Transform y' – yf – 6y = 0, y (0) = 11, y' (0) = 28

A:

Q: Let I C R[X] be the subset of all polynomials f(X) E R[X] satisfying the condition f(2) = f(3).…

A: This question is related to ring theory . Solution is given below

Q: Find the z values for each of the following x values for a normal distribution with mean = 30 and a…

A:

Q: Derive the conclusion using rules of inference. A. If Dominic goes to the racetrack, then Helen will…

A: derive the conclusion using rules of inference let dominic goes to the racetrack be p helen gets mad…

Q: olve the following differential equations using the substitution suggested by the equation.

A: We have to solve the given differential equation.

Q: Find the volume of the solid generated by revolving about the y-axis the region bounded by the curve…

A:

Q: A non-prismatic member ij has the following stiffness matrix and the fixed-end moment vector 2.5…

A: Given below clear answer for your mentioned question

Q: Which of the following relations is NOT a function?* -5 10 15 23 O Option 4 O Option 2…

A:

Q: g statements are helpful- prem 3.59

A: Yes

Q: )² - x² (4x+y'+ 13x'

A: Given differential equation is y'2 -x2 4x+3 y' +12 x5 =0 This is first order homogeneous…

Q: 2-zy Which of the following is TRUE for lim(z,3)-¬{1.1) JE-jī Lütfen birini seçin: a. The limit…

A: We need to find , limx , y → 1 , 1 x2 - xyx - y Here , Rationalise the denominator ,  limx , y → 1 ,…

Q: Let f : R? → R be defined by f((x, y)) = 9x – 7y. Is f a linear transformation? a. f((r1, Y1) + (x2,…

A: It is given that the function f : ℝ2→ℝ is defined by fx, y=9x-7y. We have to check whether f is a…

Q: Let -3 1 0 -1 A = -3 -4 4 -3 -4 4 Find the dimension of the kernel and the dimension of the image of…

A:

Q: d) 3/2 d.x (x4 +1)2 16 Cos(2.r) T e) dx %3D 1+ x2 e2 8. 8. sin x d.x (x2 + 4)(x - 1) Cos 1 - |

A:

Q: Given: 2a  + 5b + 3c = 2 3a + b - 2c = 3 -a + 2b + c = 1 Solve for the system Ax = b using Gaussian…

A:

Q: 5. In the differential equation (1+3xsin y dx– x² cos ydy = 0, we let the substitution %3D

A:

Q: Write this integral as an iterated integral in spherical coordinates and do not evaluate. sphere x2+…

A:

Q: Find the Fourier Sine series of the function f(x) = 1, x € [0, 7]. f(x) = cos x, x E [0,7] (i) (ii)

A: (i)  We have given , f(x) = 1  , x ∈ 0 , π We know  that , Fourier sine series of fx on 0 , L given…

Q: In a gathering, each of the guests shook hands with everybody else. If a total of 300 handshakes…

A: Suppose there are  n guests. Then each guest shake hands with n - 1 other guest. However , that each…

Q: Given the z value, find the are under the normal curve for the given parameter: To the left ofz =…

A: from the table values of standard normal variable Z the table value of Z = 2.91 is 0.4982 the area…

Q: The price of a new car is $12,000. Assume that an individual makes a down payment honthly. (Round…

A: The price of the car is $12000 Down payment is 25% of $12000 Therefore down payment is…

Q: 12. The following are the proofing steps of an argument in formal reasoning. In proofing step 1,…

A: We have to find the exact expression of W.

Q: It is the selection of objects from a set.

A: This is the problem of combinatorial. finite math, counting.

Q: 2. fct) = 3e +t C1-3t + 2t 2) -4t (1-3t + 2t2)

A:

Q: Q1\calculate x1, x2, xn from the following equations: -3x1 + 9x2 + Xn = 2 5x1 - 2x2 + 3x,n = -1 2x1…

A:

Q: Set up a double integral that represents the area of the surface given by z = f(x, y) that lies…

A:

Q: - 2t 1 y Ct) = 5e COS 67 CoS

A:

Q: for the curre y=: f(n) = n*, 0 sM 32 find the curve'slength given by: 1. 2 It dn

A:

Q: Write down the quadratic form corresponding to the matrix. [1 2 -3] A =|0 3 2 lo o -2l

A:

Q: 14x10* 1. The velocity of a rocket is given by v(t) = 2000 In -9.8t,0<t<30 where 14x10ʻ – 2100t v is…

A: According to guidelines we can solve only one question.

Q: 4.1 Consider the three permutations in S6: 1 2 3 4 56 4 56 2 1 1 2 3 4 5 2 4 1 T= 36 5 2345 5 24316,…

A:

Q: 4.1 Consider the three permutations in S6: 1 2 3 4 5 6 4 5 6 2) 3 1 1 2 3 4 5 136 5 2 4 1 2 3 4 5 S…

A:

Q: 2. Prove the following properties of Discrete-time Fourier transform (DTFT). DTFT DTFT DTFT 1 if…

A:

Q: Which of the following sets is a function? * {(a, a)b,b)\a,c)} {(a,b){b,cXc,a} Option 2 О Оption 4…

A: We have to identify which of the following set is a function.

Q: If C(n, 5) = 252, then n = 8. Option 1 9. O 10 O O O

A: Solution

Q: Prove that any convergent sequence {xn}=1 is bounded.

A: We want to prove every convergent sequence is bounded.

Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

A:

Q: Find a basis for the eigenspace corresponding to each listed eigenvalue of A below. 4 5 3 A = 0 7 -…

A:

Q: Question no. 3 Use the inversion algorithm to find the inverse of the matrix (if the inverse…

A: Q3 asked and answered.

Q: Find the solution of the following heat conduction problem using the variable separation method. ôT…

A: The given problem is to solve the given heat conduction problem partial differential equation with…

Q: 4. Locate the centroid (x, y)of the following composite areas: -3 ft 3 ft I 1.5 ft 1 ft

A: Consider the given composite area and divide then into four areas as shown in diagram below,

Q: What would be the element 22? * [i 4] ‚B= -3 27 ,C= 0 2 i 0] find A? + BC. If A = 2 4 O 8 O 9 O 17 O…

A:

Q: What number should fill the blank to complete this series: 40, 41, 82, 85.345. 2070. . ?* B. 250 O…

A:

Q: You purchased a car on January 1, 2022 with a 10,000 dollar loan. Your loan carries an interest rate…

A: Given the principal amount is P=10,000 dollars Rate of interest is r=6%=0.06 Rate per month will be…

Q: 3 - 4 Is v = - 2 an eigenvector of A = 2 - 3 -2 ? If so, find the eigenvalue. 1 - 1 0 - 2 ... Select…

A: To verify that v is a eigenvector of the given matrix or not.

Q: Consider the following. y = x2 y = 6- x 10 8 6 4 2- -2 4 (a) Find the area of the region by…

A:

Q: Q2/apply Gauss Elimination method to solve the equation? x+ 4y - z = -5 x + y- 6z = -12 3x - y -z =…

A: Given equations are x + 4y - z = -5 → (1)x + y - 6z = -12 → (2)3x - y - z = 4 → (3)

Q: xct) = 3(t/4) e 6.

A:

Q: where p Let W be the set of all vectors of the form is a negative integer and q is a positive…

A: Given W be thr set of all vectors of the form pq, where p is a negative integer and q is a positive…

Q: Match the solution curve with one of the differential equations. 元 O y"- 5y'- 6y = 0 O y" + 4y = 0 O…

A: The solution of the graph is y''+y=0