7 > k(2k + 1) k=1

Q: Suppose the edges of a cube are increasing at a constant rate of 8 m/hr. Then, the volume of the…

A:

Q: 9) Suppose a culture of bacteria starts with 60 bacteria and grows to 500 bacteria in 6 hours. Find…

A: ,

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and…

A: Let the temperature of metal ball at time t be:  y(t) Surrounding temperature is:  A = 25°C…

Q: Solve for x x/12.4=4ft 6in/6ft 3 in

A: 1 ft=12 inch 4 ft 6 inches =4(12)+6=54 inches 6 ft 3 inches =6(12)+3=75 inches

Q: How many iterations (n )necessary to solve the f(x) = x-4x² 9 = 0 in [5, 6], using Bisection-method…

A:

Q: The number of bacteria in a bowl increases at a rate of 20.8% per hour. There are currently 12…

A:

Q: 0 and f'(x) > 2 for 1sxs4, how small can

A: It is given that f(1)=10, f'(x)≥2 for 1≤x≤4.

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A:

Q: A cylindrical tube expands as its radius r and height h increase at the rate of 2 in/min and 4…

A: Basic product rule of differentiation is used.

Q: Find the positive integer that minimizes the sum of the number and its reciprocal. Round to one…

A: Given data:-         Let fx is a function such that               fx=x+1x       we need to…

Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and…

A: follow the procedure given below.

Q: A barge takes 3 hours to move (at a constant rate) downstream for 21 miles, helped by a current of 2…

A: To solve the following problem

Q: the rate at which the total average number of COVID cases is increasing at x = 10 tents and = 1 tent…

A: Given: Let x=10 tents  &  dxdt=1 tent/ day  And, 25 tents are built (i.e) x=25.

Q: The length of a rectangle is increasing at a rate of 7cm/s and its width is increasing at a rate of…

A:

Q: Use a fixed-point iteration method to determine a solution accu- rate to within 10-3 for the…

A: Let f(x)=x3-x-1Here x3-x-1=0∴x3-x=1∴x(x2-1)=1∴x=1(x2-1)∴ϕ(x)=1(x2-1)Here f(1)=-1<0 and…

Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Let initial population P0Population at time t is P.

Q: What positive number added to its reciprocal gives the minimum sum?

A:

Q: The life expectancy of a new born kid increases at a rate of 1.5 years for every day the kid is…

A: Demography

Q: 5) When a cake is removed from an oven, its temperature is measured at 300°F. Three minutes later…

A: Q5) how long will it take for the cake to cool off to 80F

Q: What is the max profit and number of units that must be produced and sold in order to yield th

A: Given that: Revenue function R(x)=3x                    Cost function, C(x)=0.1x2+0.9x+8

Q: Element X is a radioactive isotope such that every 4 years, its mass decreases by half. Given that…

A:

Q: use graphs to find approximate solutions ex = 4

A: we have to use the graph to find the approximate solution of ex=4.

Q: Convergence can be achieved faster in Newton-Raphson Method. O True O False compared to the Secant

A: Convergence can be achieved faster in Newton Raphson compared to secant? True or False.

Q: A certain bacteria population is known to quadruples every 90 minutes. Suppose that there are…

A:

Q: There is a rectangle whose shape is changing over time. In the initial time to, it is a perfect…

A: Solution: Let length = l and width = w At initial time to it is perfect square. Area of square = 100…

Q: radius of a right circular cylinder is increasing at the rate of 10 in/sec , while the height is…

A: Given query is to find the rate of change of volume.

Q: 4. Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is…

A: Given data:-

Q: Suppose stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

A: Given: stock A is priced at $30/share and the company will pay a dividend of $0.30/share after two…

Q: A machine to manufacture fasteners has a setup cost of $1,200 and a unit cost of $0.004 for each…

A:

Q: 1. Suppose the length of the diagonal of a square is increasing at the rate of 2 inches per second.…

A:

Q: a spherical snowball is melting in such a way that its surface area decrease at the rate of…

A:

Q: A rubber ball is made to fall from a height of 70 feet and is observed to rebound 3/4 of the…

A: The sum, S, of the infinite geometric series, a+ar+ar2+ar3+⋯ is defined as S=a1-r. Here a is the…

Q: quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…

A:

Q: b. A spherical metal ball with initial temperature of 190°C is placed outside where the temperature…

A:

Q: The length of a rectangle is increasing at a rate of 8cm/s and its width is increasing at a rate of…

A:

Q: A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons…

A: Let yt be the amount of chocolate syrup in the tank at time t.  The rate of change of the amount of…

Q: 3. Find the exact solution of the definite integral and approximate to 4 decimal places. 3x2

A:

Q: aximum profit is d to nearest integer.)

A: Given R(q)=90q-0.5q2 and C(q)=13q+600

Q: The sum of the lengths o be greater than the lengt possible values of x for th

A:

Q: Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if one…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Consider a lake with a volume of 8 billion ft³ and an initial pollutant concentration of 0.25%. An…

A: Given that: Volume of lake=8 billion ft3=8000 million ft3Initial concentration of pollutant =…

Q: 3Sinx = SınX-1

A: Given equation, 3sinx=sinx-1

Q: A person who tried to find a root of the function f (x) = 4x ^3 - 5x ^2 + 6x - 2 with a tolerance of…

A: Solution: The function is fx=4x3-5x2+6x-2 The obtained interval is 0.40625,0.43750 We will…

Q: During the Covid-19 pandemic, the number of people that are infected at any time increases at a rate…

A: Solved below

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.