-ind f(t). L ({ 1 (s + 9) 9)³] 3

Q: Let Find an orthonormal basis of the column space of A. 1 A = -3 M 14 14 4 6 -6 1 2 -7 52 882 12 882…

A: Our objective is given below:

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

Q: Q.1) Evaluate, (a)/(1+2)*ln (3r) dz

A:

Q: x³ dr (1 + x²

A:

Q: Q7. Show that 2F₁ (1,2; 1; -x) = In(1+x) x

A: Step 1:Step 2:Step 3:Step 4:

Q: 2. Compute the expression. dx [√³² √² +F³ dr] √1+r³ 0

A:

Q: |x+7/2| ≥ 9

A: Given,

Q: Find for 07/8 dr de dr de || 7/8 = 3.

A:

Q: z2 – 1.5z + 4.5 z(z – 3)

A:

Q: dx x (In² x – 6 ln x + 10)

A:

Q: 4x 4 lim,-1* - x-1 In x 4 3 5 1 O 2

A:

Q: Limzoo (√x² + 4x +1 − x) O a. 2 O b. none of these O c. -1 Od. -2 O e. 1

A: The objective of the question is evaluate the limit and choose the correct option.

Q: finD 1) 2) g(s (x) a) p(x) x?-2x+2 b.) g4)==3x t. %3D cl.) s(x) = x-1 4) Cx))

A: Given that px=x2−2x+2, qx=3x+1, rx=x and sx=x−1. 1 We have to find the prx. prx=pxUse…

Q: 2. Given x(t), - 2st<-1 ato - x(t) = 2 - 2t -1st<1 otherwise a. Draw x(t) b. Find and draw x(-1- 2t)…

A: Solution is given below..

Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: What is the length of −3a if ||a|| = 5?

A: Given that a=5 we need to find the length of -3a. Recall that the length of a vector v is given by…

Q: (x²+1) 1/3 OD. D. (x+,x) oc. O C.1/3,3 OB. (x+x) OA. O A. 1/3, 10 x: X 0/3 1/3 Factor the given…

A:

Q: 2ア+ 2z+ 11 (2ェ+3) (z +4)

A:

Q: 8. Evaluate 3t(t+2) – 3t² for t = 19.

A:

Q: a. 3.2F> Fn+1 for n23 [Solutions and final ans

A: We need to prove 2Fn&gt;Fn+1 Now, we have formula for fibonacci sequence is Fn=Fn-1+Fn-2

Q: (2x-5) +(3+7h tlo):

A: we need to solve (2x-5)+(3x2+7x+10), This is a simple problem based on addition of polynomials.…

Q: y = nedir? (a) (b) (c) (d) (e) In(x² - 4) tan-¹ (²-1) fonksiyonunun tanım kümesi (-∞, -2) U (2, 3) U…

A:

Q: In(+2)-3

A:

Q: for any natural number m. evaluate I/m +3x" + 6)" dx, x > 0. 3m 2m +x" ) ( 2x' 2m

A: Given integral can be evaluated as shown below

Q: 51. 53. Soz z dz (a² + x²)³ dz LAVET A

A:

Q: (- 1)"x" Σ 6" (n² + 9) n=1 8.

A: Given

Q: 9. Solve In (x+5) 2 2. O A. (x | x 2 12.3891} B. (x | x 2 2.3891} O C. (x |xs 12.3891} O D. {x |x s…

A: Given:         ln(x+5)≥2

Q: a. b. INGIN IN C. + S (S-1)² e35 + 5-1 e-3s S 5+1 d. None of the above L{2+ (t-3)et-3 U(t-3)] = +

A: Consider:  L2+t-3et-3 Ut-3=L2+Lt-3et-3 Ut-3 Now, L2=2L1=2×1s                      since L1=2s So,…

Q: (a). (n+2)! n! (b). 12C4

A:

Q: Find: S x² √√x – 3 dx =? A. (x-3) - (x − 3) ²/7 = 2 − 3)² + 6(x − 3)² + c B. ² (x − 3) − § (x − 3) %…

A:

Q: n² -1) 2n³ + 1

A: ∑n=1∞ -1nn22n3+1 use the alternating series test an=n22n3+1 an is positive and monotone decreasing…

Q: A) 13x| <|2x -5|

A:

Q: 1. Find L-'[l/(p² + a?)²] by convolution.

A: Let 1p2+a22=1p2+a2p2+a2=1p2+a2p2+a2= FpGp      Then ft=gt=sinata

Q: Using the tables below, justify (without graphing) whether each table represents a linear,…

A: First understood the general form and behavior of linear,quadratic or exponential function : The…