Compute Li(Ni – 2) dt O-4 0-2 None of these

Q: ds if s = Find dt 7t + 3 ds dt II

A: We have given;

Q: Give the general solution of x y'+ 5 y= 2 x+ In(x) а) О 1 능In(x) - x+ 25 1 + + (*)u - x =« O (4 - In…

A:

Q: 1. Show that, if x(t) and x[n] are even, then x(t) = 2 x(t) dt and > x[n] = x[0] + 2 x[n]. n=-k n=1

A: If a function f(x) is an even function then f(-x)=f(x). Since x(t) , x[n] are even functions…

Q: Derive Bessel's differential equation by using the following two recurrence formulas x J.(x) – x…

A:

Q: pend. Ex 5) m/MPQ = 10x + 5, m/MPN = 2x, m/NPO = 3(x + 7), and m<OPQ = Find x and m/NPO. Ex 6) m/QPO…

A:

Q: Show that the power function of the sign test is non-increasing for the hypotheses Ho : 0 = 0 vs H1…

A: A sign test is a non-parametric alternative to t-test when normality is not assumed for the…

Q: 6x 4x 7x + 40 Compute 7. O6+ 80 + C O 3x + 4x - 7In]x| + 40 + C O 18x+ 8x - 7 +C 2x O 3x + 4x-7in|x|…

A:

Q: 1 0 11 Compute det (B*), where B = -30 3 -3 0 0] det (B*) Ouestion Help: M Morsage instructor O Post…

A: Det(B⁴)=?

Q: Find g'(3). g(x) = In(1+t) dt In(4) 6ln(10) O In(10) 3

A:

Q: 2. Find the inverse of A = 1 1 1 1 2 -1 3 1 -1 2 3 H2H2 1 using Gauss-Jordan method.

A: The solution is given as

Q: 2. Evaluate the following dr 2.1.V1-(In)* dr 2.2. VE(1+ z) dr e-e- 2.3.

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: x2n+1 El-1)"; 2n +1 n=0

A:

Q: 1 О. 15 Show that %3D (D - Q) k e k

A:

Q: let y = 3 x2 + In x - ex find y' O 6x + (1/x) + ex O 6x-(1/x) - eX O 6x +1 + ex O none of the above

A:

Q: Derive Bessel's differential equation by using the following two recurrence formulas x J.(x) – x…

A:

Q: Prove that L ={(1Z*)"10" | n e N}is not regular.

A: The given language: Then, the above language can be rewritten as, To prove that L is not regular.…

Q: e -1 Compute Lt v1+x-1

A:

Q: B// findZ transform | x(n) = (0.8)" u(-n- 1)

A: Solution

Q: 5d rd-2a 2b a D. 5e-h If det d Lg h i 1, compute det e If - 2c %3D C 5f-

A: To compute determinant of the given matrix.

Q: Determine the general solution of the following Bernoulli ODE: y' + xy = x³y³

A:

Q: 23 1 dr Evaluate - Express your answers in the form: Axm + Br" + DxP.

A:

Q: Find G'(x) In(8) (4e 6t 1) dt G(x) х G'(x)

A: Given,

Q: 1 Evaluate the integral: S√72+6 dx O 2√7x+6+C O 7 2√7x+6 +C ○ // √√7x + 6 + C 1 0- + C 3 7(7x+6) 2

A: use substitution method for solving the integral.

Q: Find g' (3) . g(x) : In(1+t) dt O In(10) O 6ln(10) O In(4) O 3

A:

Q: Compute A5 if A = PDP¯1. 1 P = 3. 1 1 0 0 -1 4 O 2 0 -1 0 0 -1

A: see 2nd step

Q: 4 Let w = x. In(xy²z³), then which of the following is O a. 0 O b. O d. O e

A:

Q: 10:29 ll LTE O True or False 11. If two figures are congruent there is always just one way to…

A: Statement is given  We have to define it is true or not

Q: 20 + 7)* Evaluate the integral dæ + 7)* * by making the appropriate substitution: u = dx (2x + 7)4

A: Let's find integration of given function.

Q: Compute a (х + 2) dx. O x3 + x² + C O x² (x² + 2x)+C x2 + 2x ) + C 2 - + C 2 + x2 + C 3

A:

Q: 2 In x 1 e* 2 1 In 2x -1

A:

Q: Formally prove the T(n) = (5n – 4)° is O(n³). Show all work and all steps to receive full credit.

A: Order: T(n)=(5n-4)3 T(n)=(5n)3-3.(5n)2.4+3.(5n).(4)2-(4)3T(n)=125n3-300n2+240n-64

Q: 18. (2) = t"(-t)" dt, show that F(m). m! +1, n+1 %3D m and n are positive integers.

A:

Q: Find o v' (+2) dt. Show the computations that lead to your answer

A:

Q: Theorem 8.3.3 If X ~ t(k), then E(X2r + 1) = 0 and µz, = k"- (2r – 1)(2r – 3) ... .1_ (k– 2)(k – 4).…

A: Answer: For the given theorem, The proof is:

Q: -3z2-3 Let C: |z – il = 4 and I = f. dz. Then z²-1

A: Use Cauchy Residue theorem to evaluate this integral.

Q: QUESTION 11 Determine whether y or y and x y= Sx4+6x 2 -s y as x- y as x Oy as x y as x y as x y as…

A:

Q: 15: Let 8(x) = ,10/t dt 2/x %3D Find g'(In 6). 15552 (A) (In 6)2 15552 (B) (In 6)2 - e$/2 15552 (C)…

A:

Q: S (In x)²dx A x (In x)² + 2x In x + C C x (In x)² – 2x In x+ C в x (In x)² + 2x In x + 2x + C x (In…

A: Let,I=∫lnx2dxI=∫1*lnx2dxApply integraion by…

Q: 1 Evaluate the integral: 8x2 -5x +1 dx 才4 32 20 7 3 x +C 4 7 32 x4 5 20 4 x +-x +C 7 3 32 20 3 4 x*…

A:

Q: Evaluate O |x + 1/² |x - 21³ O 3 ln x²-x2 + C In In In O In x+7 x²-x-2 ·S B +C |x+2/8/3 |x-1|5/3 |x…

A: This question can be solved using the concept of partial fraction.

Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A: Find the radius of convergence and interval of convergence of given infinite series.

Q: If y = (5x + 1)(2x¯1 – In 7), then y' will be (5x + 1) (금+)+ 5(2x1-In 7) A. B. (5x + 1) (--) + 5(2xt…

A:

Q: If z3 + In(e 2 -2 e+e) = 0 az find at the point (0,0) O -3 0 3 О-2 O 2

A:

Q: Given G(x) = jin(2t+1)dt , find G '(x). O In(2x + 1) O In(2x + 1) - In3 O In(2t + 1) + C 2 2x+1

A:

Q: e-1 : Compute Lt 1+x-1,

A:

Q: 13. a) Show that EX=o (-1)*(")=0, and then verify that ) +C) + C) + - - G) +G) + () +- ... = b)…

A: We will use of binomial theorem to solve it

Q: 1 Calculate the integral: k *. (a² +x²)3/2

A: Topic- integration by substitute

Q: -15 ス=スーカー3;w>え崎-k md 。 d o えしデx2) ) 1パx悩)1,) (穴応)し花っ2) - %3D A. 一

A:

Q: Let f(n) = 2n – n? + 10n – 7. Show that f(n) is O(n³) using specific values of C and ng-

A: