4. Find the answers of the following expressions: k=1 a. 3(6 – x) + 4(2x – (K – 2))(x* – 2) b=5

Q: 2. 21 Зу 6 Solve : =+ x 3y 3 2 -+==0 х у and hence find 'a' for which y = ax - 4

A:

Q: 4-The equation x^2+2x-3=O has only one root in the open interval O a. (-2,0). O b. (-1,1). O c.…

A: Thus is a quadratic equation we can find the roots of the equation by solving them

Q: 2.4 Solve for x: a) In(x + 1) = 9 b) 3e - 1 =

A:

Q: verify the given equation. 16.∞∑n=0an(x−1)n+1=∞∑n=1an−1(x−1)n

A:

Q: Solve the initial value problem dt = 4t + 612, y (1) = 3. (Use symbolic notation and fractions where…

A: Given:  To solve the initial value problem dydt=4t+6t2, y1=3

Q: 4 The value of 2 n=1 3n2 will be + 6n .... .

A: See solution below

Q: 1) The formula for the deficit in the pension fund of a large company is given by y (in millions of…

A:

Q: 3) FIND A PARTICULAR SOLUTION OF THE ODE y"+8y-20y = 2x +5 - e?X %3D

A:

Q: would you prove that the answers to the diophantine equation y^2-x^3=0 are the pairs (n^2,n^3) for…

A:

Q: GIVEN: xihl i+ 2) 드 hai (-1)" (n + 2) 2"+1(n + 1) 4. Compute the exact value of n=0

A:

Q: 5) Show that n(n+1)(4n-1) E"=1 r(2r – 1) 6 Hence find E015 r(2r – 1) |

A:

Q: The sum of the first n natural numbers, S = 1 + 2 + 3 + first n natural numbers is 171, determine…

A: Consider the given information:

Q: 1.Solve the following integer LP using branch and bound method: + 5 x2 MAX Z= subject to: + 10 < 20…

A: Answer

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: TP ₁ = Pq n N-n N-1

A:

Q: 8. Solve the following LP algebraically. a. Max Z= 150X+ 160Y subject to: X+Y 20 Y>15 X, Y>0

A:

Q: 2. If X is N(3, o² = 4) find (a) P(X < 3). (b) P(X <5), (c) P(X < 1).

A: Given that X is Nμ=3, σ2=4 i.e. X~N(μ=3,σ=2) Then Z=X-μσ follows standard normal distribution i.e.…

Q: 12. Rewrite the following as addition and subtraction expressions. a) (x+4) (x+9). b) (n-3)(n-8). c)…

A:

Q: (-1)"(п + 2) 2n+1(n +1) Compute the exact value of n=0

A: The geometric series formula is ∑n=0∞rn=11-r, where r&lt;1. Simplify the numerator of the given…

Q: Show that n(n + 1) 2x2 (x – 1)3 n=1 for [x| > 1 by differentiating the identity n=1 twice,…

A: Here is the solution of the given problem.

Q: 3. Solve the following s 3y² – x² = 11 x² + 2y? = 4

A: 3y2−x2=11 — (i)x2+2y2=4 — (ii)(i)+(ii)Then3y2−x2+x2+2y2=11+4⇒5y2=15⇒y2=3⇒y=±3by (ii )x2=4−2y2and…

Q: Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 %3D %3D

A: We have to solve the given differential equation,(IVP).

Q: 16. There is a very quick way to compute £-, 2'(-1)ª-' (); do use it. l=D0

A: Introduction: The binomial theorem is very important in mathematics. For any real numbers a,b with…

Q: can i get step by step help please

A:

Q: S Зх — 5 Given: (3х- 1)(х - 3) Find: u 3x2 - 10х+3 Ох-3 3x2 +3 О Зх-1 O O

A: Topic = Integration

Q: (2) Determine k such kx? – 4x +÷= 0 that has real and different solutions. 2

A:

Q: 8. Determine the value of k, given that: (x -k) dr=0 (3x +1)(r+1)

A: Since you have posted multiple question in this question so I have solved first question as per our…

Q: ( Σα - xi-1) = x = x for n > 2. i=2 11 IDDLE: following "proof" th

A: Given that c, x1, x2, ..., xn, y1, y2, ..., yn are 2n+1 given numbers.

Q: In what case of k such that there is only one solution? 2x + ky = 10 kx + 2y = -10

A:

Q: 5. Imagine that the number of COVID-19 cases is increasing according to the following equation,…

A: If we look at the graph

Q: 4.) Give the general solution of the following ODE: x" + 3x - 4x = 0.

A: Given is the ODE x''+3x'-4x=0 The objective is to find the general solution.

Q: 1 x? + k by considering several cases for the constant k.

A: Let k be equal to a2. k=a2a=k Use the formula ∫1a2+x2=1atan-1xa ∫1a2+x2=1atan-1xa∫1k+x2=1ktan-1xk

Q: 9. Solve the following equation. sec x - 2 -0 A) 元 x -+ 2n and x- 2n7, where n is an integer 6 B) x…

A: Given: sec x-2=0

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: (-1)" (n+ 2) 2n+1(n + 1) Compute the exact value of

A:

Q: suppose the supply of x Units of a certain product at price p dollars Per unit is given by…

A: Supply of x Units of a certain product at price p dollars Per unit is given by p = 19+6In(3x+1) For…

Q: 1. Solve the following: 4 (a) 2 3 (c) =(x - 3) < 1 < 1

A: I am solving first 3 parts for other question repost.

Q: 1. Solve the following: |X – 4 |x - (a) 2 3 (c) < -(x - 3)<1

A: You have posted multiple subparts. As per the instruction, we will be answering only the first three…

Q: The solution of e = -has the form x + i (y + 2nn) where n is an integer. What is the value of x?…

A:

Q: 2n (d) Σ k' k=n

A: Here we will show that the given series is convergent In 2nd and 3rd step we find limit of the…

Q: 1. If h(x) = 9 – 5x, find h(2m) and 2h(m). 2. If h(x) = x² – x + 4, find h(m + n) and h(m) + h(n).|…

A:

Q: 14. Solve the following equation for all value(s) of x. 4 x-9x+3 x-3 18

A: We need to solve the following equation 18x2-9 + 4x+3 = xx-3

Q: 1. Express the following expression in words: D: {x/x € R, x > –4}

A: The expression is D=x/x∈ℝ, x≥-4

Q: If m*n denotes Im-n2 find the value of j. 3* (2*1)

A:

Q: B. Use combinatorial proof to solve the following problems 1. (;) (:3) = (2) (3) п-2 \k-2,

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: where P is the number of residents, and t is years after 1980 Compute P(0) and interpret its meaning…

A: Given that, P(t)=225t+7000,Where P is the number of residents and t is years.

Q: 1 Hence find E"=3 (r-1)(r-2)

A: In the question it is asked to simplify the equation ∑r=3n1(r-1)(r-2)