The half-life of a radioactive radium is 1650 * years, what percentage of the amount present now will be remaining after 2000 years? O 33.2% O 53.8% O 23.2% O 43.2%

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

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Q: Find other polar coordinates (r, theta) of the point in polar form given (3, (5\pi /6) for which r <…

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Q: Write the following expression in the standard forma+bi: a. z=-8

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Q: The points (P,Q) lie on the porabola y=x²+2x -3 a. find the slope of the secant PQ b. Graph the…

A: The given porabola is y=x²+2x -3, Let PQ be any point that lies on this parabola. a. To Find: The…

Q: If the determinant of a 5x5 matrix A is 2, what is the determinant of the adjoint of A? A 16 B 8 с 4…

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Q: sin(²) En=1 is 18 √n a. 1 b. 12/12 c. Converge d. Diverge d O C O a O b O

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Q: Find the gradient of the function f(x,y) = 10y - 2x at the point (2,9). Then sketch the gradient and…

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Q: 6. Find the intersection of the line / and the plane 1:ř=(4,-1,4) +t(5,-2,3) 14 2x+5y+z+2=0

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Q: 9. The region bounded by the graphs of y² = x, x=0, y=-1, and y=1 is revolved about the line y-2.…

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Q: 1. Why are Algebraic Structures necessary in performing mathematical computations (such as in…

A: ( 1) We know that an algebraic structure is a collection of objects and operations that can be…

Q: (5+j2)(3≤30º) (6 – j2)

A: Follow the steps.

Q: Solve using Gaussian Elimination with back-substitution or Gauss Jordan 1x1 - x2 + ²x3 = 349 630 19…

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Q: Find ſo F · dr for F = 8yi – (sin y)j on the curve counterclockwise around the unit circle C…

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Q: ifferential equations: d²y dy .)- +10y=e²x + 20, given that when x = 0, dx² dx dy 1 y = 0 and dx…

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Q: Here is a graph of the function f. 4+ 3+ 2+ 14 W -5 -4 -3 2 3 4 5 -34 Use the graph to find the…

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Q: Suppose the only solution of AX-B is the zero matrix (A is nxn and B is nx1). Then the RREF of A | B…

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Q: Ⓒ find the root of f(x) = (2-x) e such that If cast < 1x20=6 ²*²_1 use No N.P.M.

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Q: Find the generat Solution t dy (2y + xy) dx or Special o the differential * +1=

A: We have to find the general solution to the differential equation 2y+xydydx=1+4x+4x2

Q: 2. Write the equations of functions satisfying the given properties, in expanded form. a. Cubic…

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Q: Suppose A is an invertible symmetric matrix. Then the inverse of A is also symmetric. (A) True B…

A: Solution

Q: 2.SOLVE BY GAUSS ELIMINATION METHOD 2X - Y+3Z = -3 3X +3Y Z 10 X-Y + Z = -4

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Q: A set of data has a normal distribution with a mean of 100 and a standard deviation of 15. Find the…

A: First we reduce the given normal distribution to the standard normal distribution using the formula…

Q: Find the volume of solid generated by revolving the area bounded by : y=x^2+1, x=0, y=0 and x=2…

A: Given: y=x2+1 To find: y=0 x=2 y=5

Q: [ + -** (٤ -۸) - ] ۰ ا ع کوستاران

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Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (- 0.01) xe…

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Q: Hwo solve Utt = 16 Uxx h=1 K=1. 444 u(t)=(5,t) = 0 ut(x10) =0 U (x,0) = x² (5-X X

A: We can solve this using boundary value problem

Q: The trajectory of a particle is given by the vector function r(t) = (2+³-1.-1² +1+1.-2³-3²-1)…

A: We will find derivative of given vector function to find linear approximation and equation of…

Q: Find the surface area give y^2 +4x =2lny, 0, 0≤y≤3  ; about the  x-axis.

A: We have to find the surface area give y2 + 4x = 2lny , 0 ≤ y ≤ 3 ,  about the  x-axis.

Q: x = -2t Given: line ₁ = 1798 = 2 - 8 and l₂ = y = 2 + 2t 3 2 z = 6 + 2t 1. If the given lines…

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Q: 1 Let T R² R² be the linear transformation that reflects each point through the x,-axis, such that A…

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Q: For what value(s) of k is the matrix not invertible? Blank 1 Blank 1 Add your answer k k k 0 k² 2 k…

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Q: The Universal set U is set of all odd numbers between 1 and 50; A is a set of all x's such that x is…

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Q: A = 1²2 [2 3 B-15] в = 14 C D = = ONE 3 2 01 -3 -3 1 4 4 [-2-i 3 l-1 + i -1- il

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Q: Q5: find the Fourier series of the following equation -X - 1<x<0 f(x) = {x 0<x< 1 1<x<3

A: We have to find the Fourier series of the given function  fx=-x-1&lt;x&lt;0x 0&lt;x&lt;111&lt;x&lt;3

Q: Suppose A is a 10x10 invertible matrix. Then A is row equivalent to the 10x10 identity matrix. A)…

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Q: Q6) compute the coefficients in the approximate solution y₁ = A sin(7x) for the differential…

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Q: =[12] and U- = -[] Then A2017U is equal to -1 Let A =

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Q: 29-30. The shaded region in the given figure above illustrates an unbounded feasible region. Which…

A: Consider the following figure. Here, corner points are A25,0,B15,5,C8,12 and D0,24.

Q: Write the following expression in the standard forma+bi: a. e^z=-8

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Q: cosh z Let F(x) = 1. Find F(0). 2. Find F'(x). √x+1 sin(1-t) dt.

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Q: Use the fact that y = 4 + 2 and y = log4 (x - 2) are inverses of each other to find dy for y = log4…

A: Inverse function theorem if y=g(x) is the inverse of f(x), then g'x=1f'gx   g′(x)=1f'(g(x)).

Q: Given the force field F (x, y, z) = 1.) Show that SF · dR is independent of path without computing…

A: We know that the line integral of a vector field is path independent if the vector field is…

Q: If the RREF of All is I| B, then AB is the identity matrix. (A) True B) False

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Q: Find the root of the equation x-x-10=0 using chebyshev method.

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Q: 2. Solve the following pair of ODEs over the interval from t = 0 to 0.4 using a step size of 0.1.…

A: There are may formula for Runge-kutta of order two, i use the modified Euler form

Q: A B C D 168 0 - 168 -1 48 12 Evaluate 6 12 18 7 14 21

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Q: EXERCISES: Find the absolute maximum and minimum of the functions on the given domains. 1) f(x, y) =…

A: Absolute maximum and minimum may be attained on the boundary.

Q: Suppose the only solution of AX-B is the zero matrix (A is nxn and B is nx1). Then the RREF of A | B…

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Q: Evaluate the line integral F. dr, where F(x, y, z) = 4xi + 4yj – 5zk and C is given by the vector…

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Q: Solve using Gaussian Elimination with back-substit 3x12x2 + 4x3 = 1 1 + x2 - 2x3 = 3 2x13x2 + 6x3 =…

A: write the equations in augmented matrix form  3-2411-22-36138 operate R2→R2-0.3333R1…