Define an by an for 4an-1 +5an-2, n 2, ao = 5, a1 = 13. Find an explicit formula %3D an

Q: Compute each of the following: 6. a. b. С. d. е. 18 6. (Simplify your answer.) a.

A: Given data a)65b)63c)55d)70e)54

Q: with this can you solve D and E with this information. Thanks.

A: Given problem:- D) Use the First or Second derivative test to prove that there is a relative minimum…

Q: 2. Find an explicit formula for аn 3 За,-1+ 10ар-2 and ao %3D 0, ај 3D 7 An where

A: The solution is given as

Q: 1. Derive the formula V1+x2 csch-1x = In ( +

A:

Q: Find the cofactor of the element a13- -2 -1 0 5 4 2 3 5 O A. 3 О В. 19 ОС. -3 O D. 14 3.

A: Given a square matrix, the cofactor of aij is denoted by Aij=(−1) ^(i+j)M where Mij s the minor of…

Q: If 3x – 4xy = 1, then when x = 1, A. В. 1 c. D. 0 E. - O N-

A: We use implicit differentiation

Q: Prove that the value of the expression (a – 1)(a – 3)(a – 4)(a – 6) + 10 is positive for every a E…

A: Given a-1a-3a-4a-6+10

Q: Find a number a + 5 such that S" (1 – æ) dæ = 0

A:

Q: M d formulas for the entries of M", where n is a positive integer.

A: To find the power of a matrix

Q: Evaluate the following expressions without using a calculator. (a) In e2 In (b) e (v7) (c) In(Ve')…

A: From the given problem: a)   ln1e2   As we know that :   loga1x=-logax     Therefore…

Q: Express e(1/2-6) in the form a + bj.

A:

Q: Determine the general solution of the following Efuler equatión for x>°, g-2xy-4y= \0x using the…

A:

Q: Determine the values of h (1) and h(0) if it exists.

A: The given function is as follows.

Q: For ƒ(x) = sin x, find ƒ"(x), ƒ″(x), ƒ‴(x), and ƒ(4)(x). What is ƒ(4n)(x) when n is a nonnegative…

A: Given  f(x)= sinx Lets take first derivative f'(x)= cos(x)f''(x)= -sin (x)f'''(x)=…

Q: Now it is mentioned that R >> A. So we can also say that 2R >> A. Hence 2R + A× 2R.

A: If x≫y , then it can be said that the quantity x is significantly larger than the quantity y .

Q: if z1 = 1– 2j and z2 = -3 - j, which of the following is equal to ? O -0.1 + 0.7j ·O -0.1 - 0.7j 3-j…

A:

Q: .. Solve the following equation for r. In(a? – 16) + In(x + 4) = In(2x +3) %3D

A:

Q: 2. T = {m EZ| m 1+ (-1)^i, for some integer i} *

A: Given T=m∈ℤ|m=1+-1i for some integer i

Q: Consider a positive integer 1 < i < 9. Then, given T(n) = 2T([n / 2] + i) + n, show that T(n) E O(n…

A: Given: T(n)=2Tn2+i+n The positive integer 1≤i≤9

Q: Expand and simplify the expression: (x² + e-2x In (e*+1) ex

A:

Q: Evaluate the following integral. 9x2 +13.r 2 dp- +C %3D

A:

Q: 4. For each positive integer i, let A, = {x € R| -<x < } = (-;;4) a. Find U-, A;. i=1 b. Find N 4:-…

A:

Q: 10 Given a1 = 4 and a, = an-1+3, write the explicit formula. %3D %3D

A:

Q: Refer to the following formula: (3X)(Mx • (-Nc v -Ox)] = (Py Pb) Reference: Ref 4-4 Which of the…

A: Given formula is ∃xMx*~Nc∨~Ox≡Py*Pb In this formula, x is introduced by quantifier ∃. But, c, b and…

Q: Evaluate the following expressions without using a calculator. (a) In 2 %3D (b) e (v7) 3 (^) (0) In…

A:

Q: The area to the left of Z = 1

A: Area to the left of Z=1.63 is, PZ&lt;1.63=0.9484 from the standard normal table

Q: Which of the following is equivalent to 2x3 .x-1? A B D 5 NIN NIN inIN

A: The correct option is option (D)  The detailed solution is as follows below:

Q: Q2) n(x) = x1 , kx) = (x – 1)/2 , %3D %3D | 1-(8 + x) Find a formula for ( monok).

A:

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

A:

Q: E, find all values of a that satisfy the equation 3

A: The given equation can be written as, 3( tan2x-tanx)=0 (tan2x-tanx)=0 tanx( tanx-1)=0 So there is…

Q: Haw / Find dhe solution for the equaton

A: Find the solution

Q: For the given value of n, find all the units in Zn. n = 6

A: Known fact: The units of the ring ℤn are all the numbers less than n and relatively prime to n. That…

Q: Find a formula for an, n > 1, if an is given by

A:

Q: Q2) n(x) = x-1 , k(x) = (x – 1)/2, mx) = (x + 8)¯1 (x + 8)-1 Find a formula for ( m onok).

A: See answer below.

Q: Solve the following formula for the specified variable. W= 4xc for c Cype an exact answer, uUsing a…

A: Here, the given formula is: W=4πc To solve this for c.

Q: For each integer n > 2, let P(n) bè thế för n-1 Eili +2) = n(n-1)(2n + 5) 6. %3D i=1

A: Given                   P(n):   ∑i=1n-1i(i+2)=nn-12n+56,          n≥2

Q: If A A = [L show that A? – 5A + 71 = 0. Hence find A-1.

A: Given matrix: A=31-12To show: A2-5A+7I=O and find A-1

Q: Evaluate the following expressions without using a calculator. In (a) e %3D (b) In(e1) = %3D (c) In…

A: By using the fact that log function and exponent function both are inverse to each other.   eln(x) =…

Q: Find the exact value of dydr. /1/4

A: SOLUTION-

Q: ne order suc e of [det(A²I

A:

Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

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: re + e Show that 1. 2

A:

Q: Σ 2n+1 3h 1 19 n=1 bh 4n+1 4

A: We proceed on to simplify the given series as  ∑n=1∞2n+1bn+3n4n+1=1942∑i=1∞2bn+14∑i=1∞34n=194

Q: Find the complete solution of the following. 2xy’ +  2x2y’  -  4x  =  0

A:

Q: Derive the following formulae (i) (ii) (iii) Σ Π r=1 έρ r=1 = Σμ r=1 r= n(n+1) 2 n(n + 1) (2n + 1) 6…

A:

Q: Evaluate the following for the given values 7xy-y+x-1x=-2 and y=-1

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.