I – 1 lim 2+1 In r3

Q: Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive...

A: Solution

Q: च ( eXprs the unswer inter wisofUN, furf

A:

Q: + 24 + 22 + 3r2 + 7*3 + + 3r4 + 223

A: The given equations are 2x1+x2+2x3+x4=54x1+3x2+7x3+3x4=8-8x1-x2-x3+3x4=46x1+x2+2x3-x4=1 We shall sol...

Q: In McLauring series of common functions, solve the following. 1. sinh x

A: Maclaurain series of sinhx, using e^x and e^(-x)

Q: If the ratio of the geometric series Ir|<1, then it is converge and it's sum is:

A:

Q: 2 zy ら- Let Los 63 Z), find the Wニ Value of d at the point (!, Ln2, o) on the curve x = Cost , y = L...

A: To find.  The value of dw/dt at the point(1, ln2, 0) on the given curves. 

Q: QUESTION 7 Suppose a company is hiring three new sales reps. There are 28 applicants for the positio...

A: Given that Number if sales representatives are hiring by a company=3 Total number of applicants=28 T...

Q: Show an example that the scalar multiple of a diagonal matrix is also a diagonal matrix. Put brief e...

A:

Q: Let S = {0,1}. Let W be the set of finite strings over the set S. Define a function f : W → set of n...

A: (a) since the length of the string 0 is 1. so f(0)=1 (b) take two strings such as 1010 and 0101 then...

Q: Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximi...

A: The following steps are used to find the solution of the linear programming problem by the simplex m...

Q: b. the sum of the first 55 is, compute 2k=1 ak• 5. Use polynomial fitting to find a closed formula f...

A: Introduction: A sequence is a set of functions that maps from the set of natural numbers to the set ...

Q: Consider the function f (2)= +-z Which direction is a descent direction at z (1,1)?

A: This is a problem of vector calculus.

Q: Build a Diff. equation that expresses the phenomenon . Newton's law of cooling and heating, write t...

A:

Q: 6. A solid occupies the region above the cone z = Vx² + y² and inside the sphere x² + y? + z² = 4 fo...

A: Introduction: Triple integral is used to find the volume of a solid bounded by curves. There are man...

Q: Define a relation R on Z as follows: For all integers m and n, mRn → 3|(m – n). Then 3 RE.

A:

Q: Find the sequence {ax}k2o for the generating function G(x) = (x + 2)².

A:

Q: Specify c-1, Co, Ci and p such that the formula c_1u(x – k) + cou(r) +cu(z+ k) u'(2) 2 denotes the c...

A: This is a problem of Numerical Analysis.

Q: (с) V21+3n An = (d) (2n – 1)! An (2n+1)! (е) V2, V2/2, 21

A:

Q: 1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

A:

Q: F- e'さてi -xyでk is non. Conserv ative DTrue O Fulse

A: We have given a vector field ,  F(x , y , z) = x2yz i + 0j- xyz2 k We need to determine whether vect...

Q: Let R be the region bounded by the functions f (x) = 4x² + 2 and g(x) shown in the diagram below. Fi...

A: Solution:-

Q: For the following data points, a) find the linear interpolation spline b) find the quadratic interpo...

A: The data points given is as follows: x -1 0 12 1 52 y 2 1 0 1 0 (a) We are asked to calculat...

Q: f (x,Y, z) = xy sin z froy. fyrm egud Show that and

A: To show the given statement. 

Q: • A 1-year investment yields a 3% return • A 2-year investment yields a 5% return • A 3-year investm...

A:

Q: Determine the dimensions of Nul A, Col A, and Row A for the given matri: 1 -6 -8 1 -8 5 -3 -1 A = Th...

A: We want to find Dimensions of Nul A, Col A, and Row A.

Q: 1. Analyze each of the given series. If a series diverges, give reasons why; if it converges, either...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: Use the Riemann sum with n = 2 rectangles to approximate dæ. Round to 3 decimal places. A 0.867 B 0....

A:

Q: Given points P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) find the parametric equation of the line PQ ...

A: Here given point  P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) So  PQ=2-4, 5--2, 5-5=-1, 7, 0 PR=0-4, ...

Q: If F = 2ui – (-u³ + 4)j – u²k and G = t²i – 3tj + tk at u = 1 , t = -1. Calculate: a2 a) FxG d) (FxG...

A: Let u=a1i+a2j+a3k and v=b1i+b2j+b3k be two vectors. From the definition of cross product, u×v can be...

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.3 sin (t) . What is...

A: We have a velocity function and it is v(t) = t0.3sin(t)dt

Q: Use the property to estimate the best possible bounds of the integral. II. 5 sin“(x + y) dA, T is th...

A: To estimate the best bounds of the integral.

Q: Example 22.3. Find the Fourier transform of: f (x) = %3D 0 x|> 1 Hence evaluate C COS x - sin x - co...

A: Fourier transform, of even function

Q: what are the total expenses after a year (52 weeks) for the accountant?       A $6,720       B $7,6...

A:

Q: Several friends chartered a boat for a day's fishing. They caught a total of 60 fish. The table belo...

A:

Q: What's x, if the perimeter of the rectangle is 20. /x+10 x+10

A:

Q: a) у %3D (-х — 1) + 2 4 3 1 -5 -4 -3 -2 -1 1 4 5 -1 -2 -3 -4 -5 Left: Right: 3. 2. 2.

A:

Q: Let M be a 10 x 10 real matrix such that M² = M and the determinant of the matrix cannot be 1. Does ...

A:

Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e=t ...

A:

Q: Each graph represents f"(x) (not the original function) Find the x-coordinates of all inflection poi...

A: We have to find the x- coordinates of Inflection point.

Q: Question 2 If F = 2ui – (-u³ + 4)j – u²k and G = t?i – 3tj + tk at u = 1 , t = -1. Calculate: a2 а) ...

A:

Q: Equation: tlin Answer : 9in

A: Using Pythagoras theorem, solve value of x.

Q: The Hausdorff dimension of {z ER : |æ| = 4} is d. Answer: = P

A: Hausdorff dimension of the given set is d=5.

Q: *A. Here is a solıd V: 7 = 20-y*-yª (V has are full circles + does not lie z cnss sec tons whidh In ...

A: We know the relation between cylindrical and cartesian coordinates system, x = rcos(θ) , y = rsin(θ)...

Q: Sin sin e - I+ sin 0 1-sin& A.) sin Otan O B.) -2 tan2 Q c.)sec@csc@ D.) I+ cot O

A:

Q: Consider the differential equation y" +9 y = 6 (t) +8 (t-2) for a system that is initially quiescent...

A:

Q: Problem 2 Use Comparison tests to determine whether the following integrals are convergent or diverg...

A: Comparison test:    Solution a: Given integral is ∫2∞x3x4-1dx Let f(x)=x3x4-1 and let g(x)=x3x4=1x  

Q: Find 2 − 6 + 18 − ⋯ + 13122

A:

Q: %3D

A: In the given question, the concept of Integration is applied. Integration Integration is a method of...

Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e¬t ...

A:

Q: y' = et ; y(0) = 2

A: Given y' = et ; y(0) = 2 As L{y′} = sY(s) − y(0)