Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (6, 0, 4), and (-3, -1, 2).

Q: numbers The summ e of i'm finite of terms in Gy.p. is 20, and the sum of their squars is loo, the…

A: We have to solve given Questions.

Q: 3.) (xy + y - x) dx + x(xy + 1) dy = 0

A: We have to find the solution of the given differential equation.

Q: When we studied prime numbers we looked at the Euler phi-function  ∅(n) = the number of integers…

A: Given: A = {the integers between 1 and pq which are divisible by p}. And |A| = q. Let B = {the…

Q: 11. Find the Taylor series at c = 2 for the function, f(x)= = formula for the general term. You need…

A:

Q: Let b₁=(1). -(-9), --(-4), C1 = = (-3). {c₁, c2} be bases for R². Find the change of coordinates…

A:

Q: 8 = 1, EN 7 **** 1'2' M 1" nnn € N

A:

Q: 8. For a fixed frame F with X, Y, and Z-axes, if frame A is obtained by rotating the axis X for…

A:

Q: (b) Prove that E-o(-1)* )= 0 for all positive integers m.

A: We have to prove ∑k=0n-1kkn=0 for all positive integer n

Q: 2 2 (i) without finding B¹, the value of K for which KA-2B¹ + 1 = 0. (ii) without finding A¹, the…

A: Note: (a)  AA-1=A-1A=I (b) IA=AI=A     ,where I is the identity matrix.

Q: Expand f(z) = 1 (z-1)(z-2) -; 0<z-1|<1.

A:

Q: 28-3 s² +9 4) F(s)=- 2s-8 2s² +8 (5) F(s)=- 3s +2 (s+ 2)² (6) F(s)=-

A:

Q: CS Escaneado con CamScanner T 2 I

A:

Q: [21] (i) without finding B¹, the value of K for which KA-2B¹ + 1 = 0. (ii) without finding A¹, the…

A: Let A,B are n×n invertible matrices  and I is an n×n identity matrix. Then A.A-1=A-1A=I  I.A=A.I=A…

Q: Calculate the net price and trade discount (use net price equivalent rate and single equivalent…

A: In the given problem we need to calculate the net price and trade discount (using net price…

Q: 11. The mean age of a class of twenty-five students is 23.2 years. How old would a twenty-sixth…

A:

Q: Copy of Evaluate: [2] = [√5] = [-3] = [-2.1] = For Blank 4

A:

Q: Show that a a¹ = 1 (mod p) ()-(-)

A: We use the congruence property of Legendre Symbols to answer this question. We shall show that if…

Q: 6) Evaluate ff(x,y) dx, ff(x,y) dy and ff(x,y) ds on the indicated curve C. f(x, y) = 3x² + 6y²; y =…

A:

Q: 1 1.3 1 Question 2. + + 3.5 1 5.7 + ... + 1 (2n-1) (2n + 1) for n ≥ 1

A: As per the question we are given the following series : 1/(1×3) + 1/(3×5) + 1/(5×7) + ... +…

Q: ) Let A = -3 4 0 1 0 -3 -3 0 3 have eigenvalues A₁, A2, A3. We know that v = (3 0-4) is an…

A: As per the question we are given a 3×3 matrix A and its eigenvalues are denoted as λ1 , λ2 , λ3 from…

Q: Let f: [0.2] [5,6] be a function. (a) If the restrictions of f to [0, 1] and to [1,2] are injective…

A: Solution

Q: 1. During the dry season, a state extensively cultivates maize crops. The average weight (in kg) of…

A: Given Data: It is given that the average weight is hx,y,z=240+y2ln2x-z-75z, where,x is the average…

Q: Find the critical numbers of the function f(x) = -1225 - 45x+802³ - 1 and classify them using a…

A:

Q: Suppose a curve passes through the points (0,-4), (0.6,-3.64) and (1,-3). Find the polynomial which…

A:

Q: Demonstrating Inequivalence Provide an appropriate countermodel, either finite or infinite, that…

A:

Q: 8. Find the centroid of the region bounded by y x and y = x².

A:

Q: ILLUSTRATION 5.40 If (p+q)th term of a G.P. is 'a' and its (p - q)th term is 'b' where a, b>0, then…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" - 3y' = 8e²t - 2e-t, y(0) =…

A:

Q: The three vectors Ot + 11, v₂ = 3t² + 14t + 10, v3 = -1² + 4t + x + 1 of early dependent if x =

A: Given  v1=6t2+10t+11v2=3t2+14t+10v3=-t2+4t+x+1 The given vector is linearly dependent if…

Q: P = If possible, find an invertible matrix P so that D = P-¹AP is a diagonal matrix. If it is not…

A:

Q: 29. dP dt = 0.0002P(1200 - P) and P = 20 when t = 0.

A: Part (29):- Given differential equation is dPdt=0.0002 P 1200-P. And, P=20  when  t=0.

Q: Show that any sequence of positive real numbers either has a subsequence that converges, or else a…

A: Since we know that ℝ is a complete metric space. so, In complete metric space every Cauchy sequence…

Q: (22) Let A = (-∞, -2] and B = (102, ∞). (a) Find an explicit bijection f: A→ (-∞, 0]. Justify your…

A:

Q: PROJBIT LIN Next Problem -[-]-[] and by- (a) The matrix of T relative to the basis Bis (770- The set…

A: We have to find the matrix of T relative to the basis B and the standard basis E for R2

Q: Given the function sin x + cos y = 2y, find all critical points. Then use both the first and second…

A:

Q: can you in more terms how you found the domain of f(x)

A: f(x)=e^(−15ln2x) Now, ln x is only defined when x is positive, i.e., iff x &gt; 0 In fact, in the…

Q: Determine whether each of the following series are absolutely convergent, conditionally convergent,…

A:

Q: Show that if an = 5n3 - 14n2 + 7n - 3, then an = Θ(n3).

A:

Q: Question 2 a) b) c) Given the region D enclosed by = ² and x² + (y+6)² = 18. Sketch the region D.…

A:

Q: Find the missing coordinates such that the three vectors form an orthonormal basis for IR³ : 0.8…

A:

Q: Give an algorithm (write the pseudocode) that takes in a list of n integers and returns the location…

A: As per the question we have to find an algorithm that will take in a list of n integers and return…

Q: Let F be a field and let a E F with a 0. Using only the field axioms and the that multiplicitive…

A:

Q: all the sum symbols  ∑ go from 1 to infinity. Determine whether each of the following series are…

A:

Q: Determine whether each of the following series are absolutely convergent, conditionally convergent,…

A:

Q: Plz asap

A:

Q: 1 State Space Systems Consider the state space system 1.1 Is the system stable? 1.2 (3 Is the system…

A:

Q: Solve this both parts correctly plz i need in one hour

A:

Q: Find the area of the given region. Use a graphing utility to verify your result. 6 sin x 1 + COS X…

A:

Q: Exercise 2.20 Find the Fenchel conjugate for each of the following functions on R: (i) f(x) = ex. {…

A: note : Since you have posted multiple questions with multiple sub parts, we will provide the…

Q: Please do fast

A: