I d (Cot x) (COS X dx sin X * Sin x (-sin x)-cos x (cos x) (Sinx) (sin*x + ças* x) Sinx + Cos x ) Sinx CSC x

Q: 4. Let F₂ = {0,1} be the field with two elements (it was defined in the lecture). Using the axioms…

A:

Q: A2. The function g is defined by g(t) = 2t-1 4t+2* (a) What is the domain of g? (b) Prove that g is…

A:

Q: 5. Sixteen people divide into groups of size four. In how many ways can this be done?

A: Given that we must divide 16 people into groups of size 4. This means there will be 4 groups where…

Q: 1. Let f(x) and g(x) be two continuously differentiable functions that satisfy 0≤ f(x) 0. Now,…

A:

Q: Suppose you assign a Beta(a, 3) prior distribution for 0, and then you observe y heads out of n…

A: It's given that the prior distribution on  is uniform.The objective is to prove that the posterior…

Q: 3. Let V be a vector space over a field F. Suppose that U, W CV are two subspaces of V. Check that…

A:

Q: A fund has an initial balance of £1000 and an interest The fund is withdrawn continuously at a…

A: Formula for the payout annuity is where R is the regular withdrawn, P is initial amount, i is…

Q: Use Euler's Method to make a table of values for the approximate solution of the differential…

A:

Q: 13. Show that the following functions are contin- uous but not differentiable: (a) z (b) |z²2 (c)…

A: 13) We need to show that given functions are continuous but not differentiable. We know that , a…

Q: For-1 <x < 1 let arcsin(x) f(z) = %3D Find the antiderivative F(x) of f(x) such that F(0) = 1.

A: We use substitution substitution method to find anti derivative

Q: Find the critical points of h(x, y) = 3x² - 6xy + y² + y². Classify the critical points using the…

A: I have appended the formula used in the solution procedure

Q: Each propeller of the twin-screw ship develops a full-speed thrust of F = 350 kN. In maneuvering the…

A:

Q: can you please provide explanations

A: A bipartite graph is a graph such that vertex set of the graph can be partitioned into two sets (V1…

Q: A 3. The function x(y, z) is defined implicitly by the relation xy¹ = x²z+y³z² = 7. Find xy, az and…

A:

Q: 2. The population of a country is known to increase at a rate proportional to the number of people…

A: Note: Since the second question is not the subpart ,it is totally different question. And as per…

Q: PS2.4 Compute the matrix-vector products Ax below by definition (see the definition on page 2 of…

A:

Q: 2) Obtain the roots of the following equation using Bisection Method use 5 decimal places c. f(x)=…

A:

Q: Enter your answer as words made of letters separated by spaces. You may use this sequence of…

A: We have to encrypt the message: " I studied a lot." In Caesar Cipher method we can shift each…

Q: 3. For an arbitary 2-by-2 system of equations ax + by =r cx + dy = s (a) Determine the LU…

A:

Q: The motion of a damped harmonic oscillator is given by d +B= x(t)+kx(t) = 0. dt d²x(t) dt² We…

A: System of first order differential equations contains only first order differential.For second order…

Q: Calculate and plot the potential V(x), up to an arbitrary constant, for the ODE d x(t) = =-X.

A: To calculate the potential V(x), we integrate the given ordinary differential equation (ODE) with…

Q: Consider 10-character alphanumeric passwords (that is, made up of letters of the English alphabet,…

A:

Q: 13. A San Fransisco- based start-up tours with their new phone throughout California, and is trying…

A:

Q: Find S 3 tan x dx

A:

Q: To calculate the of an event A, we take the proportion of the number of times A was observed over…

A: Classical probability: The classical probability measures the likelihood of an event by assuming…

Q: V is a vector valued function which can be defined as follows... V (0) = V' (t) = (note: this is…

A:

Q: Tell me what I did wrong and what is correct answer and please keep the explanation simple. Thank…

A: The objective of the question is to understand the transformation of the function f(x) = x² into the…

Q: 1. Find and classify the critical points of the function f(x, y) = 4x²y - 2x - y².

A:

Q: 3 1 1 -1 1 Let A = [1 1 B= [0 Find the least-squares solution to the equation Ax = B.

A:

Q: A coach splits a football team of 11 players into 1 goalkeeper, 3 defenders, 4 midfielders, and 3…

A:

Q: Q(x₁, x2, x3) = x² + x² + x² + 4x₁x2 − 2x13 subject to x1+x2+x3 = 0 and -x₁+x2+x3 = 0, Q(x, y, z) =…

A: To determine the definiteness of the quadratic forms subject to the given constraints, we can use…

Q: Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…

A:

Q: Let y be the number of heads in n spins of a coin, whose probability of heads is 0. 1. If your prior…

A: y is the number of heads in n spins.probability of heads is

Q: 1 = Sing 1 = sina8 i+dyji+dzk Case = to 12 too = ५=1-22 पु 2 = 211-22 (22-423) d2 2√√2²-24 वय =…

A: No, your solution is not correct. Though your process is pretty good.

Q: (12) A directed graph has the following adjacency matrix: [1 0 21 |2 1 0| [0 2 1] How many edges…

A: