A radioactive substance has a half-life of 29 years. What percent remains 80 years after being exposed to it. 15% 19% O 24% O 38%

Q: Write z = 4 (cos pi/3 - i sin pi/3) in the form z = re ^ (i theta) %3D Select the correct response: ...

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Q: 3. Determine the missing elements of A. -5 -6 6 A-1 2 0. 2. 1.

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Q: 5.Z-transform of {u(n) + 2"- nu(n) } is

A: Note:- As per our guidelines we are supposed to answer only one Question as this is multiple questio...

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Q: 8-1 Find the inverse Laplace transform, y (t), of L-'[ using the first shift theorem: 282+5s+2 If L-...

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Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

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Q: Given that : x + + 20. (a) Find the optimum point. (b) Determine the nature of the optimum point.

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Q: dx dy y? 0,

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Q: frwmed whon ffx)– 2. A-z between -1 and 0 is rotated . d the mpute the surface area of example 9.10....

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Q: Find the volume of the solid generated bounded by x = /y - 2, x y? – 4y + 4, rotated about the x- ax...

A: Washer Method : If f(x) and g(x) are two continuous non-negative function on a,b and f(x)≥g(x) on a,...

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Q: Point is (lっ) Fix, ノ) = 3x what is the gradient?

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Q: Question 2 Find the area bounded by the parabolas (x 1)2 = 4ay and y² + 4a = 4ax. %3D |-

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Q: Mr. Conway has two part-time jobs. He makes $305 a week a other. February has exactly 4 weeks. So, M...

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Q: Proof of angular Simple harmenic motion.

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Q: a The population of Kenya was 30.7 million in the year 2000 and 38.3 million in 2010. a) Find the gr...

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Q: You know f:J→J and g: J→J Select the choice with algebraic expression for f and g such that f(g(x)) ...

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Q: I will accept a package whose combined height and perimeter of the base are at most 140 inches. Use ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 Ju. (v x w)| to determine ...

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Q: The equation of a curve C is given by y3 + y = x* + a° + 8. (a) Using implicit differentiation, find...

A: Slope of thecurve at point P= Derivative of the function with respect to x computed at the point P  ...

Q: CALCULATE S SS F(x, y, z)dxdydz WHERE: T f(x, y, z) = x AND "T" IS THE SOLID DELIMITED BY THE CILIND...

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Q: Evaluate S, S16- /16 — у2 /16 – y² – z² 22 bw (z2 + w?) dw dz dy - 16 – y² So — у2

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Q: Is the relation R on X is reflexive, symmetric, weakly antisymmetric, antisymmetric, transitive? Jus...

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Q: Evaluate using relaxation method. Tolerance is < 0.0001 Evaluate for the unknown variables -1 = X, +...

A: To find the solution of the system of linear equations by the relaxation method, apply the following...

Q: Consider the region given by y1  =  0.28x2 − 28.48x + 384  and  y2  =  384. (a) What are the inters...

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Q: Use a graphing calculator to draw the graph of the model and, in the same viewing window, the scatte...

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Q: Evaluate using relaxation method. Tolerance is < 0.0001 Evaluate for the unknown variables -1 = X, +...

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Q: Use the method of completing the square to change General form to vertex form В. y = x + 8x + 3

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Q: 1) Let R and S be rings. Show that the cartesian product of sets Rx S = {(r,s) |r € R, s E s} with t...

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Q: 2 – 2ay) dy,

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Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the d...

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Q: 0. y" + 2y' + y = 4e-t, yp(t) = 2t²e-t, y(0) = 2 e y'(0) = -1. %3D

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Q: Which of the following is true about f(x) = [x]? A. The function is continuous at .x =0. B. The func...

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Q: There are 360 students and 2/3 went to a field trip. Of these students, 40% were wearing t- shirts a...

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Q: Evaluate (2 + y² + z²) dV , where W is the cube given by W = {(x, y, z) E R° | 0< # < 1,0 < y< 1,0< ...

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Q: Let Ax = b be a linear system whose augmented matrix has a reduced row echelon form given by: 1 0 -1...

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Q: The figure below shows various gradient vectors of a function f. Determine whether each of the follo...

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Q: n²x, 0<x<I/n fm (x)=={ --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1]

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Q: What is the inverse Laplace transform of 1 /[(s-2) ^2 + 9]? C. 3e^ (-2t) D. 2 sin (2t) 5. A. sin (2t...

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Q: 4. Suppose that f: X Y is a one-to-one function and that A C X and BC X. Prove that f (AnB) = f (A) ...

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