pn+1 – 1 1. Use the formula 1+r + r² +... + r" : to evaluate the quantity r - 1 2 +4 + 8+ ... + 4096

Q: 1 6) Given the formula: R, 1 1 Find RT when R1 = 9.252, R2 = 8.502 and R3 = 6.802 1 R, R, R, +

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Q: Fill in the blank so that the resulting statement is true. If e 0. 3x = 7, then 0.3x = If e 0.3x =…

A: Given that e0.3x=7To compute 0.3x=?

Q: -l o Find AB ,where A= aul B=||3 -5 -2 -2

A: A=23-14-25 and B=2-10613-5141-22

Q: Given: L = V2 %3D 3/3 %3D N = 16 %3D P = 9 %3D Which expression results in a rational number? ON + P…

A: L=2, M=33, N=16, P=9 Since 2 & 3 are irrational numbers, therefore L & M are irrational…

Q: a) 1 -dr+ 1 dr = In a, find the exact value of a. Given that V16+9x? V9+4x?

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Q: √√3+ rdr then 0 (2)=√√3+230 I X

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Q: Justify whether it is true to say that the following are the nth terms of an AP. (i) 2n-3 (ii) 3n² +…

A: Solution : We have given the nth terms of a series and we have to find out that they are nth terms…

Q: Evaluate rei

A: Here we want to solve question 2, sobto integrate the given function we have to use integration by…

Q: SOLve the following LDES. Answer must be Integer z': 2 z; z (0) » (:) 1. Ans: 2 = a ()- + b %3D

A: To find - Solve the following LDEs  z' = 1201-12 z ; z0 = 35

Q: Express n = 5 · 13 · 29 = a? + b² using at least three distinct pairs (a, b) E N x N.

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Q: Given that y = x In (3x²), the value of when x -1 is 22. A 3 B In 3 C 1 + In 3 Đ- 2 + In 3 ere

A: We can solve this problem using chain rule of derivative.

Q: ind the values of x and y. State which theorem(s) you used. 5. 3x° Theorem used: y° y=- Theorem…

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Q: Find a value of n such that y = x"e* satisfies the equation xy' = (x – 24) · y. %3D (Use symbolic…

A: Here a function and relation of its derivative with the function is given . We have to find the…

Q: Let a be a constant. Evaluate , 4ai³. 4an (n + 1) an² (n + 1)? an²(n+1)? 4 2an (п + 1)

A: If you like the solution then please give it a thumbs up.. The Answer is:         Ans =  α  n2(n+1)2…

Q: 2. Given the figure for RT, find RS and RT. R(2x + 2) S 10 ------- (6x – 16) --------|

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Q: C = {x:x = 3n, 1<n < 4,n € N} D = {x:x = 2n, 1 <n < 6,n € N} b. What is Cu D?

A: (U) defind union of two set:

Q: Find the value of a, b, c and d. Enter all answers in exact, reduced form. No decimals are allowed.…

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Q: 4. Express the following in degrees: a. 5 3n b. 4 117 С. 15

A: Solution:-

Q: 1 2x 1.7? Which expressions are equivalent to Select all correct answers. - -0.7 – 2 - x o -2x – 0.7…

A: The given expression is: 1-2x-1.7 Since the operation can only be done when constants and variables…

Q: Let p, q, and r be true, false and false, respectively. Which of the following is true? Show your…

A: The truth table of p∧q can be represented as follows. p q p∧q T T T T F F F T F F F F…

Q: Find the following quantity if v 2i – 3j + 4k and w = - 2i+ 4j- 4k. 4v + 3w ... 4v + 3w = (…

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Q: implicit diferentiention for : 2n?+y = goay ts (I,I). 2x3 442-2xyこ4 (2r-3x4+) とy to 611)2- 12 iい)+w…

A: The given equation is 2x3+y3=2xy+1.

Q: 25-r r dzdr de 0.

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Q: Fuid x;on [o,360) 2"(-2)

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Q: In Pascal's triangle, the term tnr is equal to the sum of tn-1,r-1 and a) tn.r-1 Ob) tnt1,r c).…

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Q: (D? + 6D + 9)у %3D 7хе-З*

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Q: Find the length of (3e' – 3, 4e' + 7) for 0 <1< 1.

A: Arc length of a curve between two points is the distance between the two points with the restriction…

Q: 7. Find the value of AC 8. Find the value of x and diagonal RP. 24 22 QS = x +5 RP = 3x + 3 12

A: in given Trapezoid ABCD AD=BC=22AB||DC Therefore given trapezoid is isosceles   in isosceles…

Q: 2 is equal to y"-)?+ If y" +2a(x)y = -a'(x)y then the expression O 2a(x) O 4a(x) O 4a(x) – 2a'(x) O…

A: Detailed explanation mentioned below

Q: Express the following in the form eaz (e4-2)² + ²z = Check (ebe + c), with a, b, c EN

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Q: -2 3. adj(A) 14 A= 3 05 4 sat (3 2 -1 -2

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Q: 1-2x (c) Determine the values of a, b and c if =1+ax+ bx? + cx. Hence, by 1+2x, 1 show that 2 s 3,…

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Q: Q3 Re-arrange the following formula to make b the subject: x = ab

A: Consider the given function, x=abc multiply both side of the equation by c, c·x=c·abccx=ab

Q: (2-20 OA =4096i O B. =-4096 OC=256 O D. =4096

A: Given expression, 2-2i8

Q: What is the value b such that P(Z > b) = 0.8944

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Q: Which number is greater? Explain. V20, 10 i is to the right ofi Therefore, i is greater. : 10 # V20

A: Solve the following

Q: 7. Given AXPS = ADNF, find the values of x and y. P F 4y - 3 54 51 D 17r + 3 N' 57

A: Recall: Two triangles are congruent then their corresponding sides are equal in length

Q: Consider ζn = exp(2π √ −1/n) ∈ C for n ∈ N. (c) FIND Aut(Q(ζn)/Q) and JUSTIFY your answer.

A: Given that ζn=e2πin∈ℂ for n∈ℕ To find Autℚζn/ℚ Clearly ζ is a primitive nth root of unity.…

Q: 7. Given AXPSADNE, find the values of x and y. F 4y -3 54 51 S. N 17X+3 57

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Q: -ind the value of x. * (3X+ 6) 419 (6X-5)° 7X-11)° | (4X+7)° 62° 13

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 7. Where is defined, it is equivalent to - x -11x which of the following expressions? I-11 1. - I+11…

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Q: 1-r+l 1+r+r? +r' +.+r" = 1-r (Note: r is a real number not equal to 1.) %3D

A: Concept: First we need to define statement p(n), then we have to use basic step and inductive step…

Q: n7¹u(−n − 1). What z-t tion ting

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Q: H. W Derive for ģa ? using expression -2h -h 2h

A: In the question it is asked to calculate the expression for y''' where y=Ax3+Bx2+Cx+D.

Q: Q. 1 find the value of the det. 1 2 3 3 - 1 - 2 1

A: Expanding the determinant along R1, we have ∆=-11+1 a11a22a23a32a33+-11+2…

Q: nx2 + 5 fr X E R for Let f,(x) = NENand %D 4n +3

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Q: For nEN, simplify: 1 +1+2+ +4+ +8+ 금+ 1 .+2"-1+ 2n-1 (A 2" - 21-n+1 2" +2-n 2n - 2-n 3 D 22n - 23-2n

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Q: Express r1 = 0.27 as a fraction. Hint: l00r1 - r1 is an integer. Then express r2 = 0.2666 ... as a…

A: Given Data The value is r1=0.27.   The expression for the 0.27 as a fraction in the form of 100 r1-…