18. Show that Σkind(k)³ = (Σk|n d(k))² for all positive integer n.

Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

A:

Q: (D² - 1)y= 2 1+ex

A:

Q: Explain why you think the series Σα 1 n-1 converges to a finite number or n+1 diverges. If the…

A:

Q: The annual cost of attending a particular college increases by 6% each year. When the college first…

A: Given that annual cost of attending a particular college increases by 6% each year. Initial coat of…

Q: Using Gaussian integration, (a) 2 ¹₁ f(2x + 3) dx (c) 3 ¹₁ f(3x + 2) dx the integral ff(x) dx is…

A:

Q: Integrate the following functives Ver R÷ f(x,y) = 3x-2y. the given re the circle x² + y² = 1 Cegion=

A:

Q: QUESTION 3 Three years ago, Pete took out a loan of $55,000. The loan was taken out for 10 years…

A: Three years ago, Pete took a loan of $55,000. The loan was taken out for 10 years with an interest…

Q: What is the missing number? * 15 17 1 9 8 12 27 40 00 00 28 12 23 13 ? 28

A:

Q: 1. Identify the equations of all the linear asymptotes of f.

A: Given information is ∙  dom f = ℝ \ -1             ∙  limx→+∞ fx=2 ∙  limx→-1+   fx=+∞      ∙…

Q: Use Squeeze Theorem to evaluate lim x44x COS X logix

A:

Q: Find the divergence and curl for the following vector fields. Describe the characteristics of the…

A:

Q: Write the following English sentences in symbolic form-  It is false that he is poor but not…

A: let p : he is poor  q: he is honest Therefore the Symbolic statement is ¬p∧¬q

Q: Identify and draw a sketch of the surface [(x-2)] ^2/9+ [(y-3)] ^2/4- [(z-1)] ^2/36=1 O elliptic…

A: Equation for elliptic hyperboloid of one sheet with center (0,0,0) is  x2a2+y2b2-z2c2=1

Q: Write the following English sentences in symbolic form- 1. If I will go to Australia, then I will…

A:

Q: Determine the indefinite integral

A:

Q: 1. Given the following matrices: 1 1 0 11 1 1 2 1 2 B = 0 A 2 2 Evaluate 1 0 1 0 1 4 If ies D1 3 01…

A: # as per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: Let f(2)= iz³ + cos(z²) z² +1 i. Find f'(z). ii. Evaluate ƒ'(–2i) and simplify. iii. State the…

A:

Q: 1. State the amplitude, period, and phase shift for y=2 sin(0+20°). Then graph the function.

A: Given function is y=2sinθ+20°. We have to find the amplitude, period and phase shift of the given…

Q: The approximate value of fx sin x dx by combination of Simpson's 1/3 rule and Simpson's 3/8 rule (6…

A:

Q: 1. Given the following matrices: 0 11 A = 10 0 1 4- Evaluate a. [(AC) BT] - DT. b. [(BD) TCT]A ¹2 3…

A:

Q: Find the solution of the equation P №²₂ a²z อ + cos y ax² ay ² which tends to zero as x→∞ and has…

A:

Q: Example 10.12. Solve the following by Euler's modified method dy = log (x + y), y (0) = 2 dx at x =…

A: Here, we need to solve this differential equation using modified Euler's method.

Q: Evaluate L-1{- [6] S -} + 169) (s - 9) (5².

A:

Q: Which of the following sets of vectors in R³ are linearly dependent? Note. Mark all your choices.…

A: We want to find linear dependent vectors.

Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = e* sin(t), z =…

A: Curvature and radius of converges

Q: ind the function(x), such that f'(x)= In (3x) X ƒ(1)-1. "

A: Function of a variable x

Q: Given, dr = b(cosedr+rsinėdė);r(π) = 1. Find (1) 1 1+b O 1+b 2 1 1+b O b -(1-b) 1+b

A: We have to find the value of rπ2

Q: . Given the matrix A below, alue for det in A A = 1 0 2 2 0 0 2 1 1 10 1 0 1 4

A:

Q: -13 2 6 1 The matrix I 09 4 3 3 2-8-1 -2 3 2 10 The Augmented matrix is as follows: -13 2 6 1 -7 09…

A: Given: -13w+2x+6y+z=-7  0w+9x+4y+3z=4  3w+2x-8y-z=-5  -2w+3x+2y+10z=0 To solve the system of…

Q: 2. The subset [a,b) of R is neither open nor closed. Prove it and construc an illustration.

A:

Q: Write  basic steps of developing a LP MODEL?

A: The steps for developing a LP model are as follows 1.First define the variables  2. Write the…

Q: Example 7.20. Using Lagrange's formula, express the function a sum of partial fractions. 3x² + x + 1…

A:

Q: 3. Solve the linear system below a + 2b − c +4d = 6 -a-4b +2c + 2d = 4 2a + 2b − c + 2d = 4 a + 2b +…

A: (a). Cramer's Rule

Q: Example 10.13. Using Euler's modified method, obtain a solution of the equation dyldx = x + √√y, Eth…

A: The given differential equation is: dydx=x+|y|. here f(x,y)=x+|y|       x(0)=1, 0≤x≤0.6, h=0.2. To…

Q: 1.5⁹ Explain why the two graphs in Fig. 1.23 are not isomorphic. Figure 1.23

A:

Q: Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an…

A:

Q: Let x₁, x₂ denote the variables for the two-dimensional data summarized by the covariance matrix,…

A: As per the question we are given a covariance matrix along with ots eigenvalues & eigenvectors,…

Q: Solve yn+2 - 2 cos ayn+1+yn = cos an.

A: First we need to write equation in symbolic form then solve.

Q: Explain why you think the series n=1 converges to a finite number n+1 or diverges. If the series…

A:

Q: QUESTION 4 Suppose you are told that G2 = (V,E). The edges are undirected. The degree sequence is…

A:

Q: H-w.4 Find the volumes for the following solids whose heights are defined by Z(x,y) and bases are…

A: Volume bounded by xy-plane

Q: Let X and U be Banach spaces, let C: X→ U be a compact linear map, and let xnx in X. Show that Can →…

A:

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2x - lim x-2- 3x-4 X-2 x2-x-2/

A: We have to evaluate the given limit.

Q: MY NOTES ASK YOUR TEA Compute the simple interest INT for the specified length of time and the…

A:

Q: A faire dice is tossed twice -11 LI Pace

A: Given, a fair dice is tossed twice.

Q: Find the solution of Zz+Z=Zx+Zxt

A:

Q: 13. For the following digraphs, determine ISI, the cardinality of S if: a) S is the transitive…

A: A={a,b,c,d,e} The given relation as R={(b,c), (b,e), (c,e), (e,b), (e,c), (d,a)} For transitive…

Q: y = y= 1 sinx-cost It Sinh tesy 1 sinxtrost 1+ sinx-cOS X Xi-2-5 Newton method of optimization

A: We can solve this using formula of baton rajaon method

Q: 12 69 -9 -12 -6 -8 11 28 4 6 3 Let B-3 (a) Find a basis for ColB. (b) Find a basis for RowB. (c)…

A: Our first target will be to reduce the given matrix in Echelon form by using elementary row…

Q: Using 1 - node Gaussian integration, we have f f(x) dx ≈ w₁f(x₁). What is the value of w₁ ? b+a (a)…

A: Given that using 1-node Gaussian integration, we have…