O A. 2.01% B. - 5.94% O C. 4.06% O D. 14.06%

Q: Determine whether S is a basis for P3. S= {5 – 3t2 + t3, -4 + O is a basis of P3. t2, 3t + t?, 5t}…

A: Given S = 5 - 3t2 + t3, -4 + t2, 3t + t3, 5t

Q: Min Z=4X1+X2 S.TO 3X1+X2=3 4X1+3X2>6 X1+2X20

A: We are given the problem,

Q: 1.Solve by logarithmic differentiation (x+1)(x+2)(x+3)2 Y=In( V(x+3)3(x+4)4

A:

Q: Supply a short answer with explanation for the following question: The following assumptions apply:…

A:

Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

A:

Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

A:

Q: Represent f(x, y) (0<x < 4, 0 < y < 4) by a double Fourier series sin (). NTY f(x, y) = EEBmn Sin ()…

A: The given problem is to find the value of Bmn using double Fourier series with given f(x,y) series…

Q: Is it true for abstract algebra that if a*b=a*c then b=c

A: Use the following axioms of group, to obtain the solution. Let G,* be a group and a,b,c∈G.…

Q: For some of the most interesting laws of modular arithmetic (Choose some of your liking, but do…

A: This is a problem of mudular arithmatic.

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a = 9 b = 1…

A:

Q: [1 0] If A = 1 1 and b = 0 li 21 a. Find £. b. Find the projection of b onto the column space of A…

A: By Bartleby policy I supposed to solve first 3 subparts.Post separately remaining part(s).  As this…

Q: What value of n should be used to guarantee that an estimate of is accurate to within 0.01 if we…

A: This is a problem of Numerical Analysis.

Q: (1) If volume is high this week, then next week it will be high with a probability of 0.8 and low…

A: Given: Let us consider the given, Take 1 as high and         2 as low Then the state space,S=1,2

Q: Q.1. (a) Show that 1 -a? 14P Dreve thot

A:

Q: Find the future value for the ordinary annuity with the given payment and interest rate. PMT =…

A:

Q: Q2) Let f(x)= 2x +2x- 5 = 0 a) Find the location of the roots. b) Find an approximation for the…

A: The bisection method is based on the theorem  If a function f is continuous in the interval [a, b]…

Q: which is the n/2 Example 2. Solve g(x) = sin x+a sin x cos t g(t) dt. %3D [Bikaner 2012]

A:

Q: 5. Use the given Taylor Series Expansion on Cosine and Sine function cos I 1 2! 4! 6! E(-1)" (2n)!…

A:

Q: Problem A.4 Find all solutions of the following equation: 0 1 1 2 1 2 3 4 20 20 -4

A:

Q: 2. Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if…

A: Given: Rectangle inscribed inside an isosceles triangle. One side of the rectangle lies on the base…

Q: Given x^k = 1.672531 and x^k+1 = 1.725641, find d^k.

A:

Q: 2. Find the General Solutioh oG (əx -3y-2) dx-Cx-2y) dy =0

A:

Q: Evaluate by Exact D.E. (2xy – 3x²) dx + (x² + y)dy = ( Oc= =y+x² + % 2 Oc = x²y – x³ + y? %3D 2 Oc =…

A:

Q: бу" - 7у - 5у %3D2x3 + е-* - 5

A:

Q: Let n 2 2. Assume that Fn is prime. show that Fn = -1.

A:

Q: Theorem 84 Let a be a positive real number. For each real number r, 1. I리=a ← 2. 1-a|= |a|.

A: We are given that a is a positive real number  and x∈R . We have to show that  (1) Necessary and…

Q: frz,y)= 1²-2xy +y? (8,9, 1) Le t 27yty-z =0 Fea,y, z) = ² 21y+y-z

A: For the explanation follow the next step.

Q: 12 + 2s – 5s2 s4 A. f(t) = 12t3 + 2t2 - 5t C. f(t) = 2t3 + t2-5t B. f(t) = 2t* + t3 - 5t2 D. f(t) =…

A: We have to find the Laplace transform of 12+2s-5s2s4

Q: Find the general solution of (2x-3y-2) dx-(x-2y)dy = 0

A:

Q: 1. A college freshman must take a science course, a humanities course, and a mathematics course. If…

A: Given : Number of science course= 4 Number of humanities courses =3 Number of Mathematics course=2

Q: Show that the dictionary order topology on the set R x R is the same as the product topology Rd × R,…

A: We have to show that the dictionary order topology on the set ℝ×ℝ is same as the product topology…

Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy

A:

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A: according to question, a store wants to have four different sizes small -Smedium - Mlarge - Lx-large…

Q: Can someone help me to approximate this double summation into an expression that contains a and b?…

A: The value of ab=0.625

Q: Evaluate the gamma function

A: Introduction: The Gamma function is an integral function that is defined as Γz=∫0∞xz-1e-xdx The…

Q: 1. F = (A'+B)C 2. F= A'B'C' 3. F= A'B+ AC 4. F= AC+ A'BC + A'BC' 5. F = AB' + A'B

A:

Q: Find the maximum and minimum values of the function f(x, y, z) = x²y z? subject to the constraint x²…

A:

Q: The radius of convergence for the series En=1 n2(x+2)" is 2n 2 1 O

A:

Q: Direction: Solve the function using Bisection Method. Show your complete solution. 1. Show that 3x E…

A: For the solution of the problem follow the next steps.

Q: What is L 2. s² -7 s -36 cosh 3t +sinh 9t 3. B. cosh7t +sinh 6t C. 5cosh 10t + sin 2t D. s 31 +sin…

A:

Q: 0. 11. If we buy 2 tickets from station A to station B, and 3 from station A to station C, we have…

A: To solve the word problem Determine what is required to find Write the statement in mathematically…

Q: 1. Find (2x – e") dx e*) dæ

A: Please specify which part is to be solved. In this question we have to find the integral,  (1)…

Q: A vibrational system consisting of a mass m 1/4 slug attached to the spring 2.5lb/ ft is modelled by…

A:

Q: (1) Consider the Gaussian kernel of the form 1 p(x,t) = V2nt Show that p(x, 0+) = 8(x). Remark 0.1.…

A: First the standard definition of the Dirac delta function is defined. Then, limit of the Gaussian…

Q: Use the Runge-Kutta method to solve the equation y" = xy' +y for x= 0-0(0-2)2-0 given that at x = 0,…

A:

Q: Find the solution. dy x-+ 5y =2r2y4 dx

A:

Q: Use cylindrical coordinates to solve the integral. Sketch the graph of the region of integration.…

A:

Q: 4. The following are the proofing steps of an argument in formal reasoning. In proofing step 5, what…

A:

Q: Question 1 Find the solution. (4D3 + 4D2 + D)y = 0

A: Given (4D3+4D2+D)y=0 Change to Auxiliary Equation 4m3+4m2+m=0