Let a ∈ R and find the solution to y'(t) - a y(t) = 0.

Q: 1 a b Let A = 0 5 2 0 0 1 (i) Determine the condition of a and b so that A is diagonalisable.

A: Remark: An n*n matrix A is diagonalisable if and only if it has n linearly independent eigenvectors....

Q: 3. Find the maximum and minimum values of the function f (x, y, z) = x+ y + z on the ellipsoid x2 + ...

A: Given we have given a function  f(x, y, z) = x+y+z we have to find the maximum and minimum value of ...

Q: V Sove using variaton of parameters or reduction of order (D²+1)y = tan3x

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Q: 3.) Expand In(1x) to five terms.

A: The Taylor series of a function f(x) is just a form of representation of the function as the sum of ...

Q: Write the system x'= e"x – 4ty+9 sin(t), y' = 7 tan(t)y + 9x – 4 cos(t) in the form = P(t) + F(t). U...

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Q: Express cot 0 (e in quadrant III ) in terms of cos 0. cos e V1+cos²e cos e V1-cos²e cos e /1-cos²e /...

A: we have to express cot θ in term of cos θ where θis in third quadrant we know that cot θ = 1tan θ an...

Q: Given the system of equations In (3x) +In (x +2y) = A { In (4x +y) +In (5y) = B where A = 4 and B = ...

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Q: Let A be the point with coordinates (3, -7, -2), let B be the point with coordinates (1, -9, -4), le...

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Q: 1 2 0 0 -1 0 2 4 Problem 6. Let B := 7 (a) Reduce B to the identity matrix using elementary row oper...

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Q: If your Travel piece is 22.35", how long will you cut your piece of pipe using fractions of an inch ...

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Q: 2. What is the term ag of the sequence {an} if an equals a) 2-1? b) 7? c) 1+(-1)"? d) -(-2)"?

A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,...

Q: Find the inverse of function h(x)=5-e*-3. O h-1(x)=3 + In (5 – x) O h-1x)=3 – In (5 + x) O h-1(x)= I...

A: Given the function hx=5-ex-3 We have to find the inverse of hx  

Q: Consider the initial value problem and find the solution: a. y" + 4ay' + (4a² + 1)y = 0, b. 4y" + y'...

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Q: find the equation of the line tangent to the curve y=x^4-4x^3+2x^2-4x+15 and perpendicular to the li...

A: To find the line tangent of the curve we have to differentiate with respect to x. If first-line slop...

Q: Let f (x, y, z) = xz cos(y). Find the directional derivative of f at (1,0, 2) in the direction of v ...

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Q: A survey finds that customers are overcharged by price scanning systems, on average, on 1.65% of ite...

A: We can solve this by using probability function 

Q: A16.2 Write down the function f(x) for each of the following graphs. In the first example assume tha...

A: To determine the equation of the given graph.

Q: 4. Which of the following is the least decimal: 0.01012, 0.0120, 0.00123?

A: Since you have posted multiple questions and we can answer ome question. So, answered first question...

Q: SOLVE THE 0.E 2Ydx 3xy²dx +xdy when x=2 y=-2

A: We can solve this using substitution method

Q: A parent function is f (x) = b*. Write a function g(x), if f (x) has been reflected in the x-axis, t...

A: Given Parent Equation f(x)=bx  

Q: ppose that g(3,4) = 2, 9,(3,4) = 6 and g,(3,4) =3. What is the linear approximation of g(2.9,4.3)? p...

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Q: I Solve the differential equatons when X= (x+y) dx +(2xy+xh 3x) dy=o 1. Y= 2

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Q: Answer the 4 following questions using this scenario : Samuel wants to save $2000 for a trip to Hers...

A: Introduction: The formula of compound interest is given by, A=P1+iNNt where A is compounded amount, ...

Q: Consider the experiment of tossing a die. Let A be the event of obtaining a number less than 4. Let ...

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Q: 55 elementary classes will be chosen to participate in a school activities survey. There are 2323 el...

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Q: - Find 9k³. 200 Lk=99

A: we have to find  ∑k=99200k3 we know that ∑k=1nk3 = n2(n+1)24 Now we can write ∑k=99200k3 as ∑k=99200...

Q: Using Secant method find the root of: 2x - cos(x) = 0 approximately up to 3 iterations. Choose your ...

A: Secant method

Q: 2. Find the inverse transform of the following function 1 f(t) = s²(s – 1)2

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Q: DIFFERENTIAL EQUATION Solve the orthogonaltrajectories y² = x²(1– cx)

A: The given problem is to find the orthogonal trajectories to the given family of curves. Given family...

Q: Give one example of an assumed truth that is not true in general. Then express this assumed truth in...

A: This is a problem of propositional Logic.

Q: (a) What is domain and range of the function f (x) = v1 – 9x² (b) Is y(x) = v2x + 5 a function? 1.

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as...

Q: 7. Without performing actual division, determine whether 1 010 908 899 is divisible by 7, 11 and 13....

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other subpa...

Q: dz 6. (a) Find where z = In(2x² + y),x = Vt, y = t2/3. %3D (b) Find ди dt' az and az where z = dv 8x...

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Q: Evaluate the determinant of matrix A (Show your pertinent solutions) Chios Method  Pivotal Method

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Q: 6. Which of the following bipartite graphs are complete bipartite graphs? (a) (b) (c)

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Q: using half angle identities sin -67.5°

A: We know that,sin(-θ)=-sinθcos(90°-θ)=sinθcosθ2=1+cosθ2We have to evaluate: sin(-67.5°)

Q: Design a brick rectangular channel with the best cross section given that the slope is 0.002, the fl...

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Q: Twenty-three slips of paper are each marked with a different letter of the alphabet and placed in a ...

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Q: Given Manny rode his bicycle 6km west, and then 5km east. How far is he from the starting point? Ste...

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Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

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Q: 6. 1. |A| = |-3 7 -1 2 -4|. Verify the expansion of A. a. About the third row b. About the first col...

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Q: 32. (Washington State, Grade 4) Ms. Yonan took a survey in her class to see how many stu- dents like...

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Q: f (x) = log2(x + 8)

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Q: e make it step by step solution:  d.Using Matrix [B1] and [B2] prove that by solving the determinan...

A: Introduction: The determinant is defined as a scalar value related to the square matrix. If X is a m...

Q: Justify why the level curves very close to the origin (0,0) for the function f(z, y) = (1-z)(1 – ) a...

A: As per the instruction, we will be solving the first question. For (1), We are given the function as...

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

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Q: 1. Apply the Sieve Process from 200 to 300.

A: Asper the company rule, we are supposed to solve one problem from a set of multiple problems. Theref...

Q: Mark each statement as True or False. The basic feasible solutions before and after a pivot are alwa...

A: mark each statement true or false (a) the basic feasible solutions before and after a pivot are alwa...

Q: DIFFERENTIAL EQUATION Solve using method of undetermined coefficients y" - 4y' +3y = 20 cos x

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Q: Transform C = cos p a, - sin p a, + cos p sin p az into spherical coordinates and then at P (2, T/4,...

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