The angles of a triangle are in the ratio 2:3:4. Express the angles in circular measure as well as in degrees.

Q: 9. G(t) = e2-t U(t - 2)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the 8th question.  Please s...

Q: y =- Inx; x?y" + xy' – y = lnx %3D х

A: A differential equation contains independent variables, dependent variables, and the differential co...

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Q: (3,8, 3) The cross product of the two vectors u = and v-(7, 1,5) is the vector : Select one: w = (37...

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Q: Prove that if the function f is 1-1, then ƒ-1 is a function.

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Q: A market survey was conducted in four cities in Zambia in order to find out the preference for brand...

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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: Q2: (a) By using " L' Hopital rules "; Find the limits of ::- (1) lim,-(n/2)-(tan x)cosx (2) lim,--0...

A: L'Hôpital's rule states that for functions fx and gx which are differentiable on an open interval I ...

Q: Find the differential equation of the given general solution by eliminating the arbitrary constant. ...

A: Given: The differential equation, xsiny+x2y=c   To find: The differential equation of the given gene...

Q: 2. Determine one real root of 2xcos2x – (x – 2) = 0 on the interval (2, 3). How many number of itera...

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Q: n-1 What is the value of S4 for n=1 O 48 O 84 O 90 O 96

A: Given that an=∑n=1∞62n−1. We have to find the S4. Here, S4 is defined as follows S4=a1+a2+a3+a4

Q: The level curves of the function x, y)= (*0, y # 0) are: a. concentric circles with the origin at th...

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Q: 1+9

A: Given expression is 1+9. We have to add the given expression.   1+9¯ 10 If we add 1+9 then we get 10...

Q: 2. Given the data 0.2 0.4 0.6 f(x) 1.9934 2.1465 2.2129 2.1790 0.8 1.0 1.2 1.4 f(x) 2.0683 1.9448 1....

A: We can solve this by using given data and formula of Central difference

Q: Find the value of J/2(x)

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Q: 2. Use the definition of the appropriate limit to show (a) lim→∞(2x² + 4x – 1)/(3x³+ 1) = 0. (b) lim...

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Q: 7. (a) What is the order of (1, (123)) in Z4 × S3 ? (b) Write down all the distinct cosets of the cy...

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Q: Find the length of the vector (12, 4, 4). O 8.75 О 5.18 O 13.27 O 7

A: Length of the vector

Q: Design and write a truth table using the Karnoff map What is the name of the resulting circle?

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Q: Solve the initial value problem. y" + 8y' + 25y = 0; y(0) = 2 y' (0) = - 7 %3D

A: Quadratic formula:- For an equation ax2 +bx+c =0 the roots are x = -b±b2 -4ac2a Note:- This problem ...

Q: 4. Describe the domain of the function f(x, y)= In(6+ x-y). {(x, y): y<x-6} {(x, y): y 2 0} {(x, y):...

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Q: Solve the initial value problem. y" – 2y' + 2y = e; y(0) = 0, y' (0) = 4

A: Given differential equation is y'' -2y'+2y =e-t;  y0=0, y'0=4 Take "t" as independent variable.

Q: A nut shop packages mixtures of different nuts for sale. From peanuts, cashews and almonds. The cost...

A: Let x represent number of pounds of peanuts, y represent number of pounds of  cashew and z represent...

Q: Bessel's Function 1. Find Jg cx ) (x)

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Q: 17. Prove that if S = {v,,Vz, V3} is a linearly dependent set of vec- tors in a vector space V, and ...

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Q: Find all triples of integers (x, y, z) that satisfy x² + 2y² = z2.

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Q: s the cost function of e number of units pro aximum profit? Wha

A: Let x=q. Cost function of of the product is  for q units produced.  Selling price for 1 unit is 2 T...

Q: 32. Construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible.

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Q: AB CD OD ol 11 00 10

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Q: 7. Consider the vector field F(x, y) = l-y, 2). %3D (a) Compute the circulation of F around the circ...

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Q: Why use the hypothesis of n=m-1 with a step-by-step explanation of the solution and a clear line, pl...

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Q: English the converse, contrapositive and negation of each statement and c). b) If its not raining an...

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Q: Use synthetic division and the Remainder Theorem to find the indicated function value. f(x) = 3x-20x...

A: We will use synthetic division and remainder theorem to answer the given question.

Q: Find the derivative of the function f(x) = e(2²-3z).

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Q: show that vectors Centywhere en I's the sequence whose nth term i's 1 and all o ther terms are Zero ...

A: Given: The vectors en where en is the sequence whose nth term is 1 and all other terms are zero.   T...

Q: Given a function whose graph is shown below. -5 -1 2 The function is continuous on (1,5). Always Tru...

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Q: Part II Answer all questions in this part. Clearly indicate the necessary steps and explain your rea...

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Q: 2. Using the iteration method to find the approximated root of the following equation: (x-1)e-1-0 Co...

A: Given: The equation, x-1ex-1=0 and the iteration equation, xk+1=1+e-xk.   To show: (1.) In the inter...

Q: Q1/ Find all the second-order partial derivatives of the functions 1. g(x, y) = x²y + cos y + y sin ...

A: 1 Given function is gx,y=x2y+cosy+ysinx. We have to find the all the second-order partial derivative...

Q: ) Suppose that the statement p →¬q is false. Find all combinations of truth values of r and s for wh...

A: We have to find the combination of truth values of r and s.

Q: Check which of the complex no. is closer to the origin.. Z1 = 1 + 2i , Z2 = 3 – 4i

A: The general form of a complex number is given by a+ib, where a, b are two real numbers and i=-1. The...

Q: 73.xy-z(x- y)' (19)

A: 73 Given expression is xy−zx−y2. We have to find the value of the given expression x=3, y=-2 and z=-...

Q: Example 8: Show that the transformation w (z + i) = I maps the interior of the circle %3D 13=l in th...

A: The given transformation is  w(z+i)2 = 1 ⇒(z+i)=±1w ⇒z=1w-i    ....... (1) now, w= ρ eiϕ So, the abo...

Q: the given

A: Given as, xdydx+3y=2x5;y(x)=14x5+Cx-3,y(2)=1

Q: (B) 84312 (C) 74412 thction (6-13): If CHEST is coded 9s 45723 and BALL is coded as 6899, the follow...

A: Given that  CHEST is coded as 45723 BALL is coded as 6899 To find the codes of some given words.  

Q: O Showing all your working, find the solution set which describes the area shown in purple below. 10...

A: Solution 

Q: What is the coefficient of (x – 1)5 in the Taylor series for x In x about x = 1? A. – 1/20 В. 1/5! С...

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

Q: 3. Let f : A → B. Then 1gf = f and f14 = f. Hint. You may use the fact that fg, for functions f, g, ...

A: Let               f1 : X→Y , f2 : X→Y be two functions, then we say that the functions f1 and f2 are...

Q: Find a particular solution to y" + 4y + 3y = 3te". %3D

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Q: A supplier gives a 25/9 discount series to customers who buy goods worth Php 50,000 or more. If a cu...

A: A discount series, also called a chain discount or trade discount series, occurs when multiple disco...