. Suppose the rate at which ice in a pond is melting is given by ay = 4t+2, where V is the volume of the ice in cubic feet, and t is the time in minutes. a) Write a definite integral that represents the amount of ice that has melted in the first 4 minutes. b) Evaluate the definite integral in part a).

Q: 6+w=4

A: The give equation is 6 + w = 4To find the value of w.

Q: (1,-16) and (-3,12)

A: To write down the equation of the straight line joining the two given points.

Q: Number 27

A:

Q: 25+2=

A: First we calculate 2^5.2^5= 2x2x2x2x2=32

Q: #2 - Niku

A: Given, The Caesar cipher method to encrypts message by changing each letter of the alphabet to the…

Q: answer question 2

A: As per the question we are given the following recurrence relation : T(n) = 6T(n/2) + n  ,  T(1) = 1…

Q: Number 26

A: Given:

Q: V81x6 V3x3

A: Given expression is:  81x63x3 =81x63x3=27x6-3

Q: Number 28

A:

Q: 24 = 3 + y

A: We have to solve the given expression for y. The expression is 24=3+y.

Q: Answer number 4

A:

Q: ed 0,

A: The Laplace transform of a function can be obtained by using the Laplace transform table. The…

Q: Number 16

A:

Q: 19 22

A:

Q: Match the possible graph for the function f with the specified properties: (i) the domain of ƒ is…

A: The function has properties,(i) the domain of f is -5,5(ii) f-5=f0=f5=5(iii)…

Q: 10+c=25

A: given 10+c=25 find c by solving linear equation apply transpose for c and constant value one side…

Q: Find g C4

A: Here we have to find the value of 9C4.

Q: 6 - 8 =

A: 6-8= -2

Q: Number 14

A: Correct answer 106° and 74°

Q: 3 X-

A: Given,xdydx + y = xy3 — 1This is Bernoulli's equation.Divide both side by -12 xy3- 2dydxy3 - 2xy2 =…

Q: 11 35

A:

Q: 12+z=15

A: 12+Z= 15 Z = 15 - 12

Q: how did you get infinity

A: we need to know that limx→∞(x)=∞ and limx→∞x2=∞and∞=∞

Q: Number 284

A: Given revenue function: R(x)=-x2+8x

Q: 7– w²

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.