[et Suppose A(t) =0 0. cos t sin t, show that A(t)-1 exists and then find it. - sin t Co t. -

Q: Consider a solid with uniform density bounded above by the sphere x^2 + y^2 = 1 and bounded below by...

A: The given problem is to find the center of mass of solid with uniform density bounded above by spher...

Q: - Part 1 Graph and shade the points (if any) that satisfy the following system of linear inequalitie...

A: First, we have to make a table for each inequality and then plot the points from the table on the gr...

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

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Q: 1 + ..+ 3x5 1 Find the sum: 1x3 1997x1999

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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: Show that if n is an integer and n³ + 5 is odd, then n is even using a) a proof by contraposition. b...

A: Proof by contradiction and contraposition

Q: 2. Solve the following equations using matrix methods: X2 + *3 + x3 2x1 + 12 - (a) =D1 + 13 + x2 + r...

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Q: 6. (a) Write the following in reduced row echelon form.. Determine (b) a basis for and (c) the dimen...

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Q: 2 3 8. 3

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Q: Given |P 3 and the bearing of the vector is S60°W, find the EXACT components of the vector P. Give E...

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

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Q: Suppose that f and g are functions, and that they are left inverses of each other. Prove that f og i...

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Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm ...

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Q: Determine whether the given function is a solution to the differential equation and find the particu...

A: The general form of a second-order linear homogenous differential equation is given by ay''+by'+c=0,...

Q: u4. Given th.

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Q: Transient Orifice Flow: Water is discharged from a reservoir through a long pipe as shown. By neglec...

A: Given vt2gh=tanht2L2gh and  t=2.5 seconds  v(t)=3 m/s g=9.81 m/s^2 L=1.5 meters

Q: ++2x2- 1 dx

A: Given integral is ∫x5+2x2−1x4dx. We have to evaluate the given integral. Now, ∫x5+2x2−1x4dx=∫x5x4+2x...

Q: development of

A: In simple words, the concept of math is used to understand the world.

Q: Suppose V and W are finite-dimensional. Then L.V; W / is finitedimensional and dimL(V,W) = D (dim V)...

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Q: When the median is computed for a sample, all values in the data set are * .used True O False O

A: Answer  - True

Q: 1. For each of the following vector fields F(1, y), decide if there is function f(z, y) such that F ...

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Q: 33° Y (Зт + 3)° What is the value of m? (A 18 © 46 B 29 D 65

A: Given,        

Q: 7. Give an example of (i) a non-planar graph that is not homeomorphic to K5or K3,3 .

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Q: Show that (a) S' = {z= a + bi E C|a, b E R, |2| = a² + b² = 1} is a subgroup of C*. cos O – sin 0 (b...

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Q: If in an AP the sum of m terms is equal to n and the sum of n terms is equal to m .then prove that t...

A: Let us consider the AP a, a+d, a+2d, a+3d,...... The nth term is obtained as  an=a+(n-1)d The sum of...

Q: Fred is considering three job offers in advertising. A full-time position as a coordinator that pay...

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Q: As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at night, ...

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Q: A = -3 4 3 0 -1 1 -3 3 1 4 -3 9 1 3 -1 3

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Q: The equation for the tangent to the curve y = t+ at the point (1,3

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Q: The standard deviation never been negative because it represents the Speed O Distance O Time Average...

A: We have to find why standard deviation can never be negative.

Q: Example:

A: (a) Given,            32×76=

Q: Disprove the following statements using counterexample. Explain your answers. 4. x >x 5. x Sx?

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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: Consider a set of integers from 1 - 10. G = {1,2,3,4,5,6,7,8,9,10} Answer the following questions: ...

A: (i). Given G = {1,2,3,4,5,6,7,8,9,10}

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

A:

Q: What's the square root of 256

A: We have to find the square root of 256 that is we have to find the 256. 225621282642322162824221 Now...

Q: A car dealer buys 5 cars. Their purchase prices are recorded in a vector: PP = In addition to the p...

A: The given question is related with profit. Given that a car dealer buys 5 cars and their purchase pr...

Q: Find D (x, y, z) where f(x, y, z) = cos(z²)sin(y²) In the direction of v = (4, 15, 18). %3D Possible...

A: Introduction: The formula for the directional derivative of the function f(x,y,z) in the direction o...

Q: Prove each statement in 6–9 using mathematical induction. Do not derive them from Theorem 5.2.2 or T...

A: Note: As per our company guidelines we supposed answer only one question Given that for every intege...

Q: f a car valued at R255000 depreciates on a reducing balance method at an interest rate of 12.5% p.a ...

A: Given that: Time period = 7 years Interest rate = 12.5% per annum  Current value of the car = R2550...

Q: 4. The perpendicular offset of the PT of a simple curve is 120.20m. If the angle of intersection is ...

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Q: 1. Find the values of constants in the equation below As + B + - Ms + N 2.

A: Introduction: When a rational expression is divided into the sum of two or more rational expressions...

Q: 4 Find the dot product of [6 -2 3] -1 and 2

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Q: Use the recursive definition of summation, the triangle inequality, the definition of absolute value...

A: To Show 

Q: Operations Research Solve the following LPP problems using Graphical Method: 2. Min Z = 4x1 + 6x2 Su...

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Q: EX show that 2. J능 (x)

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Q: Find the matrix A of the linear transformation T from R2 to R that rotates any vector through an ang...

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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: In the Malthusian model, population grows exponentially while food production grows linearly. For th...

A: It is given that, Current population is 889 Growth rate is 7% Population at subsistence level is 112...

Q: (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 th...

A: Given (b) The vertices are A0,0,0, B1,1,1, C0,2,3 c(1) y=1x2-1 c(2) y=9-x2