(b) Find the area of the triangle whose vertices are A(0,0,0) ; B(1,1,1) and C(0,2,3). 1 (C) Find the domain and range of: ( 1) y = (2)y = 9 – x2 x2-1

Q: he nth term of the following sequence : -1/5, 3/8, -5/11, 7/14, -9/17

A: In the given question, the concept of the sequence is applied. Sequence A series is created by a seq...

Q: Determine whether the ff. are Always True, Sometimes True, or Always False. 1. If plane ABC is paral...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: A 1-i

A:

Q: 2. Determine the root of f(x) = sin x – e-* = 0 using the Newton- Raphson method in the interval [0,...

A:

Q: number, or inequality. The louisians participate in the World Environment Day through a tree plantin...

A:

Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,. Justi...

A:

Q: Show all necessary condition. Determine whether the given function is a solution to the differential...

A: Given: The differential equation: xy'-3y=x3 The possible solution: yx=x3c+lnx The initial condition:...

Q: Let A(0, π) υ (π, e 1| Find the limit point(s) of A. а. b. Is A an open set?

A: Given set is A = 0,π ∪ (π,e2]

Q: Table 5.2.1). . (a) (c) -7/8 dx 10. (a) / Fdx (b) dx (c)

A: Introduction: The indefinite integral is the process to find the function which on differentiation g...

Q: III. Find the bearing. 4.) The vertical ray points to due north. 240

A: Bearings are a measure of direction, with North taken as a reference.In North, the bearing is 000°.I...

Q: In Exercises 3 and 4, use the factorization A = PDP-' to com- pute Ak, where k represents an arbitra...

A:

Q: Let f : R → R be defined by f(x) = 9x. Is f a linear transformation? a. f(x + y) = f(x) + f(y) = Doe...

A:

Q: Questions: Confirm that gcd(30,40) * lcm(30,40) = 30 * 40. Find integers a and b such that 30a ...

A: The gcd(30,40) is 10 The lcm(30,40) is 120.  

Q: (2x?t - 2x3) dt + (4x3 — 6х?t + 2xt?)dх 3D0

A:

Q: Exercises 1. Show, by drawing, that the following graphs are planar: (i) the wheel W5; (ii) the grap...

A:

Q: let us efine fn enj-S (n) = otherwise b) we wo ld like to calco late the lebesgue integral Sf dm How...

A:

Q: f the integra n (x –1)

A:

Q: 1 u (-y°i +x rmal vector to

A:

Q: one of the More important the orem {n real analysis is faton's Iemmar state the lemma aud say some t...

A:

Q: Example 5: Find fff, Vx2 + z²dV, where E is the region bounded by the paraboloid y = x2 + z2 and the...

A: Cartesian co-ordinate and polar co-ordinate x=rcosθy=r sinθx2+y2=r2θ=tan-1yx

Q: /Find all the second-order partial derivatives of the functions 1. g(x, y) = xy + cos y + y sin x

A: If z=g(x,y), then the variables x, y are called the inputs of the function, and z is called the outp...

Q: Part 1 At the grocery store, 70% of the different types of juice come in a bottle holding at least 4...

A:

Q: Test for exactness. If exact, solve. If not, use an integrating

A: Given,            x2+y2dx-2xydy=0

Q: Find the solution of y" – y – 6y = 48 et with y(0) = 7 and y' (0) = 3.

A:

Q: dy of y = sin(3x² + 5x – 4) * In(e*) is dx

A:

Q: Question 5 Find the order and degree of the following differential equation. ду + = cos x Əx əx², əx...

A:

Q: Fine the mean number 12 31 45 67 78

A: Mean number is defined as the value calculated by dividing the sum of all the values by total number...

Q: t-3 The domain of the function f(t) = is (-v2, v2) and [3,0] %3D t2-2

A:

Q: Express (3-5i)(1+i)/4+2i in the form of a+ib.

A: Let  Z = a + ib

Q: The following graph has a single root and a double root. Identify the 2 roots Select ALL the answers...

A: In graph, if there is x-intercepts , that is, if the graph cross the x-axis, then there exists a sin...

Q: 5. (a) Ifp is a prime then the group U, has (d) elements of order d for each d dividing p- 1. (b) If...

A:

Q: 2. Consider the vector field F(r, y) = [x, y). (a) Show that F is path independent by showing that F...

A:

Q: Answer?

A: Given,         3 to 5 = 35              

Q: QUESTION: Let U be a finite dimensional vector space over F with basis By : U1,….., Up. Let SE L(W,U...

A: Given U be a finite dimensional vector space over F with basis u1,…,up. Let S∈LW,U, where W is a vec...

Q: 3. To defeat Electro, Spider-Man needs to connect all of the pylons (vertices) in the graph below, w...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: =1 using Cauchy's Residue theorem.

A: Cauchy's Residue theorem: Let fz be analytic within and on a positively oriented simple closed conto...

Q: Solve the following problem Pu + dx2 = 0, 0 < x < L, 0 < y < H ду? ди ди (0, y) = 0, (L, y) = 0, dx ...

A:

Q: Extract the square root of the complex number 8-6i.

A:

Q: 8. The statistical measure that indicates how measured data vary from the given mean value of that d...

A:

Q: Consider the recurrence relation a, = 3a,-1- 2a,-2 with first two terms ao = 5 and a = 7. (a) Write ...

A:

Q: A group G has come to talk to you. You find out that G has 100 = 22 x 52 elements and that G has exa...

A:

Q: 5. Show whether whether the set of vectors in R*is linearly independent.Justify your answer. (0,0, 2...

A:

Q: If P(A) = 0.4, P(B) = 0.2, and P(AU B) = 0.6, then P(AN B) = (a) Are events A and B independent? (en...

A:

Q: 16. Prove: If A is an eigenvalue of A and x is a corresponding eigenvector, then s) is an eigenvalue...

A: We will use definition of eigen vector to prove the result.

Q: 4000 3500 3000 2500 2000 1500 1000 500 200 250 300 350 400 450 Number of Customers Number of Custome...

A:

Q: Use mathematical induction to prove the following: 2 1+8+27+·..+ n³ n(n+1) %3D 2

A:

Q: EXERCISE 18.2 2. y 3x + 6 1. yx-1 4. y+2x 3 3. y-+2

A: Intercept of a line : It is a point on the line that touches x-axis and y-axis x-intercept is the po...

Q: dout 2 *Property of STI Page 2 of 4 IT1903 Rounded - Since the problem states each Round – off Error...

A:

Q: Non

A: (1) Given,             limx→π2-(tanx)cosx

Q: (d) Give an example of functions f: A → B and g: B → C, such that go f is onto, but ƒ is not onto. (...

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.