Given OK with secants NS and NR ,which exp N- P •K R S. O A. (NQ)(NQ + QR) -NP NP O B. (QR)(NQ+ QR) NP NP O C. NP + NQ + QR -NR NR O D. (NP)(NQ + QR) – NR NR

Q: De that చయ 1వ అకంట్ల show isa parhicular slu fae he differenhel equehon: 6x + uX (1) fnd a…

A: The particular or complementary solution is a solution of a differntial equation if they satisfy the…

Q: Given that p (n) = 4n² + 4n – 6 and q (n) = n² – 5n + 8, find (p - q) (3). %3D %3D O 26 O 38 O 40

A: The given functions are pn=4n2+4n-6,qn=n2-5n+8.

Q: Find the pebability of dekeching cheonge ŷ (1-B) po = 0.114 p= 0.0526 n= 100 LCS = 0.1195 %3D LC =…

A: The probability of detecting change is 1-β (given). P0=0.114 P1=0.0526 n=100

Q: 6. Johnny knows that AB = XY and BC =E YZ. What other information must he know to rove that AABC =…

A: If there is two triangles then they should be congruent if and only if there corresponding angles…

Q: #10

A: First we separate the variables then integrate both sides

Q: Given OK with secants NS and NR, which expression represents PS. N- P. •K S. O A (NQ)(NQ + QR) NP -…

A: Consider the provided figure, here, NS and  NR is secants. We need to find the expression for PS.

Q: Why is AABCEAGHJ? B E ..... Choose the correct answer below. A. Since AC GJ and CB JH, AB must be…

A:

Q: Given the explicit definition: tn = 3" - 8n, find t7.

A: Given that:  tn= 3^n -8n

Q: assume that Pr[A]=0.25Pr[A]=0.25, Pr[B]=0.35Pr[B]=0.35, and Pr[A∩B]=0.1Pr[A∩B]=0.1. 1)Pr[A|B] =…

A: Given: P(A) =0.25 P(B)=0.35 P(A∩B) =0.1

Q: Given OK with secants NS and NR ,which expression represents PS. N- Q P •K S. A. (NQ)(NQ + QR) -NP…

A: Secant -Secant Power Theorem.           AC,AE-Secant line S1,S2  AB,AD-External lines E1,E2

Q: If x-Exp(5), then M,(t) is O 1 ul (1 – 5t)-1 الخيار 2 t.

A: Given that  X~Exp(5)  Find Mx(t)

Q: Prove that Ek=0 C) 7n-k . 2k = 32n %3D

A:

Q: Choose the wright answer for: L(e^5t) * O 2/(s+5) O 5/(S-1) O 1/(s+5) O 5/(s+2) Non of These

A:

Q: Q D 2. Identify the missing information necessary to prove that TV 1 SU S O <SVT ZUVT O ST SV ST UT…

A: Given:     Triangle Figures is given

Q: GIVEN: m 1 = mx2. PROVE: AD > ED. A C E. 2)

A: Solution-

Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

A: Given  an = 5nn2-2

Q: O Fimd the that is boun ded between fe)= 2-x ond gla) = 4-x² ef Hhe regitn glo) = 4- x²

A: Toipc-Area under the curve

Q: For all n, d e Z where d + 0, d\n * n= dk for some kEZ. Disprove: For all integers a, b, and c, if…

A: To disprove that for all integers a, b and c, if a|b+c, the a|b or a|c Suppose a,b,c∈ℤ be any…

Q: If z1 = 1+ jb , Z2 = re¬1² , z/z2 = -10 , determine all possible values of b and r %3D

A:

Q: Determine whether the following is true: (a) (b) n+1 Σ₁2²= n · 2n+² + 2, i=1 n i-0 3¹ 1- 3n+1 13…

A:

Q: When A is arbitrary, we have U 4R c (UA)", N 4s cn An.

A:

Q: Suppose: n ≥ 3 and x,y ∈ Rn , |x - y| = d > 0 and r is some +R, Need to show: 2r = d, there is…

A:

Q: Given OK with secants NS and NR, which expression represents PS. N R O P S O A. (NO)(NQ + QR) NP B.…

A:

Q: that Edn H(n/d)7(d) = 1 and Edn H(n/d)o(d) = n for all n, where r(n) = d(n) and σ(n) = σι (n) Σm d.…

A:

Q: For all n, d EZ where d + 0, d\n n = dk for some kEZ. Disprove: For all integers a, 6, and c, if…

A: I have disproved the result

Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....

A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…

Q: Solve the following IVP: (2et у" — 25у %3D to 0) y(0) = 0, if 0 4 y'(0) = -1. Letes SUNITT STED…

A:

Q: M-N-P-Q on MQ MN + NP + PQ = MQ 20. Given: Prove: M

A: Given that, M, N, P and Q are points on the line segment MQ.

Q: Show that for all n e Z, n? – 3n +17 2. -

A: Given: For all n∈ℤ, n2-3n+1≠2

Q: has solutions of the form R(p) etmzting whe

A:

Q: (r+ simo - coso)dr+r Csino tcoo + co-B

A:

Q: In SOR method the value of 0 < w <1 Select one: True O False

A: We will use the formulation of SOR              (Successive over Relaxation) Method to     show what…

Q: MN 1 NP, QR 1 RP ΔΟRP Given: Prove: ΔΜΝΡ ~ N R P Exercises 17, 18

A: A triangle with two perpendicular lines

Q: Prove indirectly: "V n E Z, 4 ł (n² – 2)."|

A: Ans:Let us assume that 4/n2-2;∀n∈zthen we have there exist a positive integer k such…

Q: LA. Given: 2QPR E ZSPW Prove: QR = SW Proof: Statement Reason - ZQPR & LSPW . M2QPR = M²SPW E. M2QPR…

A: 1. Given  2. Definition of congruent angles. 3. The degree measure of a minor arc is less than 180…

Q: Given that t f"CX)= Coscacde el (ib)=8 Cand find:

A: We can solve it by integration.

Q: 1. If (x+y)-x²+y´ , which of the following statements must also be true? 1. x=0 I, (x-y)? -x²+y?…

A: Given (x+y)2=x2+y2 Expanding the identity,  x2+y2+2xy=x2+y22xy=0xy=0 ...(1) Hence (III) is true

Q: Ife = whare r and y are real mmbers and x> 0, what is the vahue of y in terms of r? O In (2r) O…

A: given that                                                  ey=12x, x&gt;0 we have to find y in…

Q: Supposernc N and n 4 0 Then show that rn is positive if and only if r is positive

A:

Q: es lls ew zeiflucifiib ons einiseen stigesber Show that for neN, (2n)! ' (r!)² ((n −r)!)² - 7=0 2n -…

A: We will use binomial expansion to prove given relation

Q: Which of the following descibes à llihea O A. 3(x+ 2y) – 4 = x + 5y O B. ax2+ bx + c = 0 O C (a+ b)?…

A: A linear function is an expression whose degree is 1. The degree of a function is the highest power…

Q: & B= Q1-Let A = 2 4 Verify that (AB)" = B" A"

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: ssume that an = for all n E N. If lls us that: a) SE (0.6,0.7] b) SE (0.7,0.8] c) Se [0.8,0.9]

A: In this question, the concept of the sum of infinite series is applied. Infinite Series A series is…

Q: Given that z=Scos ( 3x+3ct) +e+d. Which ONE of the following statements is TRUE? OA d OB. 0: Oc a:…

A:

Q: Which of the following would not be sufficient information to conclude that AABC is similar to ADEF.…

A:

Q: B. GIVEN: 1= X2. PROVE: AB # BC. 24. E A C D.

A: We have to prove the given statement.

Q: Given that; z=ilitil (1-2i)² and (Z-áilt Plz-3i) = 7. fiml He Vele for Pard 7 O TECNO

A: Solution

Q: If the statement is true, prove. If the statement is false, disprove. 1 + 2" > 3n for all n E Z

A: False.  take n =2

Q: Given 21 = 22, which theorem could be used to show that AABN~AYXN? B (A) AA (B) SAS Y (C) Sss (D)…

A:

Q: 2r+1 if the values of x, y is O none O x-1,y32 O x-2,Y3D2 O x=2, y =1 223

A: Two matrices are said to be equal matrices if they have the same order ( dimension) and the…

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.