The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = P, e - 0.00012097t How old is an ivory tusk that has lost 18% of its carbon-14?

Q: dy Find dx y = d'y %3D dx xp 2.

A: topic - derivative of a function

Q: 5)- Let y1, Y2, ..., Yn be a random sample of n observations from a normal distribution with mean O…

A: Given: Y1, ............Yn ~ N (0, σ2) fy=12πσ2×e-12×y2σ2          y≥0

Q: 12. Solve the following: 5x + y = A+1 2x + y = 10

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Q: In the manufacture of light emitting diode (LED). different layers of ink are on the optic lens. The…

A: Let X1 and X2 be independently normal distributed. If T is the total thickness, then T=X1+X2.It is…

Q: 3)- Records at an industrial plant show that 12% of all injured workers are admitted to a hospital…

A: Let us denote: A=The event that an injured worker is admitted to a hospital for treatment.  B=The…

Q: Linear Transformation and Bases In Exercises 25-28, let T: R³ R³ be a linear transformation such…

A: Given T be a transformation such that T(1, 0,0) = (2, 4,-1)  T(0, 1,0) = (1, 3,-2)  T(0, 0,1) = (0,…

Q: An open box is to be made from a rectangular piece of material by cutting equal squares from each…

A: Explanation of the answer is as follows

Q: ty" – t(t + 2)y + (1 + 2)y = 0, yı = 1 O Gte + Ct O Gite + C2t O Cte + Czt O Gte - Ct

A: The differential equation is :- t2y''-tt+2y'+t+2y=0 and y1=t

Q: Find v= 21 +6t+9 dv %3D

A:

Q: A côin is flipped se times here each Ilip comes up ther heads or tailS. ow many possible outcomes…

A: Given  A coin is flipped seven times where each flip comes up either heads or tails.

Q: Use mathematical induction to prove that, for any integer n >= 1, n k=0 2k = 2n+1 1

A:

Q: 2. Let |A| = 12, |B| = 7,|C| = 9, and exactly 3 elements are common for A and B, exactly 5 elements…

A:

Q: 7. Find the general solution: y(x? + y²)dx + x(3x² – 5y²)dy = 0 a. y³(y² – x²) = cx b. 2y3(у2 — х?)…

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Q: 4 22. A = 0 0 2-3

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Q: 4. T: R² R², T(x, y) = (x - 2y, 4x), B' = {(2, 1), (-1, 1)}

A:

Q: 8. T(x, y) = (x + y, xy, 2x, 2y), v = (3, -3)

A: We have to give Tx,y=x+y,x-y,2x,2y We need to find image of v=(3,-3) under T.

Q: 7)- An American Housing Survey conducted by the U.S. Department of Commerce revealed that 705 of…

A:

Q: 5)- Let y1, y2, ., yn be a random sample of n observations from a normal distribution with mean 0…

A:

Q: The product of two positive numbers is 363. Minimize the sum of the first and three times the…

A:

Q: 10. Find the general solution

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Q: 2)- Researchers at the University of California (Berkeley) have developed a switched-capacitor…

A: Given that researchers at the University of California (Berkeley) have developed a…

Q: 13. Let B = {(1, 3), (-2,-2)} and B' = {(-12, 0), (-4,4)} be bases for R², and let 2 A = [3 be the…

A:

Q: 3. Find all ordered pairs in the relation R from A = (a,b) E R if and only if a + b = 9. {0,2,4,7}…

A:

Q: 1. A coin is flipped seven times where each flip comes up either heads or tails. How many possible…

A: Here we will going to use Binomial distribution   If a probability distribution satisfied…

Q: Given: LA ZD, O is the midpoint of AD Prove: ΔΛΟBΔDOC

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: A farmer has 80 feet of fencing to enclose three sides of a rectangular plot of land (the fourth…

A: topic- application of derivatives