1. (kv/)→(mvn) 2. (mvn)→(o^p) 3. ki .o
Q: at the life time of the laptops are normally distributed. They are expected to last an average…
A: Given" μ=30000, σ=1000 The corresponding z-value needed to be computed:
Q: A 13 foot ladder leaning against a wall is pulled away from the wall at a constant rate of 3ft/s and…
A: Given, A 13-foot ladder leaning against a wall is pulled away from the wall at a constant…
Q: What is the effective annual yield if a deposit of $1000 grows to $3300 in 12 years?
A: We know that the compound interest formula is S=P1+rnnt where S is the amount after t years ,P is…
Q: A 13-foot ladder rests against a vertical wall. If the bottom of the ladder slides away from the…
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Q: Use linear approximation to estimate ln(.99)
A:
Q: A new type of vehicle tires is released on the market with a rate of tire cracking: on average one…
A: Given information: Average number of cracks every 2000 km = 1 Average number of cracks every 500 km…
Q: Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the…
A: Let the volume of the rod be V Radius of the rod be R and length be L Given: L=20cm; R=3 cm…
Q: 4. Simplify completely Int dt using FTC-1. retz e3z
A: The solution of the problem is given in the next step.
Q: The height of a right circular cone is increasing at 3 mm/s and its radius is decreasing at 2 mm/s.…
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Q: Calculate on the maximum percentage error in the volume of the cylinder-shaped oil barrel if the…
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Q: A 20" by 14' piece of metal has squares cut from corners and thn is folded to create an open box.…
A: Length of metal sheet= 20 inches Breadth = 14 inches Let squares of side x inch have been cut from…
Q: An experimental forest is to be grown by planting 3000 trees each year on the same day of the year.…
A: Let i = number of years = 0, 1, ... , 10 and the number of trees planting in the starting of each…
Q: (4) If the population of bacteria in a certain region triples in 50 days. In how many days will be…
A: Assuming the rate of increase is proportional to the number of inhabitants. To find- No. of days in…
Q: How can you sometimes estimate quantities like distance traveled, area, and average value with…
A: Let the function defined over [a,b]. And the interval is divided into n subintervals of equal width
Q: the e to ential.
A:
Q: Use Simpson's Rule to determine the average temperature in a museum over a 3-hour period
A: In this question, we use the Simpson rule to approximate the average value of temperature for 3…
Q: ach to solve omogeneous ential equatior
A: Given - The differential equation To find - Use the superposition approach to solve the given…
Q: dervivative of (ln(cosh(x)))3
A: Given data: The given function is: y=(ln(cosh(x)))3. STEP-1 Assume u=coshx and differentiate it…
Q: At 12:00 p.m. a tank contains 150 g of salt dissolved in 8 L of water. Pure water begins flowing…
A: Since you have asked multiple questions, we will solve the first one for you. If you want any…
Q: 1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At…
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
Q: Solve for average value of the function within interval [0,20]
A:
Q: The company X has achieved following CR (current ratio) in 12 months period of time.
A: Given information: The data represents the values of the independent variable t = Time period and…
Q: One string of a certain musical instrument is 75.0 cm long and has a mass of 8.75 g. It is being…
A:
Q: 4. A rock thrown into a still pond and causes a circular ripple. If the radius of the ripple is…
A: Follow the procedure given below.
Q: A certain process can plate out 80.6 um3 of gold onto a metallic surface per second. How long will…
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Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…
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Q: 1. Suppose that oil spills from a container and spreads in a circular pattern. If the radius of the…
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Q: The number of live births recorded and the number of infants died in a town during a given period…
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Q: Use Simpson's rule to estimate the total anm discharge in the first 24 hours. TO
A: Simpsons rule for the function f(x) over [a,b] is given as:…
Q: 4 THE LENGTH OF A TRIANGLE LL INCREASING ATA RATE OF 8cm/s AND ITS WIDTH IS INCREASING AT A RATE OF…
A: SOLUTION-
Q: What is the expected Carbon Monoxide Concentration (PPM) if the traffic volume (cars per hour) is…
A: First we have to find the regression line using least square methods. It is given that Number of…
Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…
A: a. let the hypotenuse of the triangle is h. so using the trigonometric ratio formula,…
Q: 1. For a certain radioactive element decays at a rate of 37.7% per day (tis measured in days). How…
A: We need to find time.
Q: (4) If the population of bacteria in a certain region triples in 15 days. In how many days will be…
A: Bacteria increases proportional during the period given in the problem
Q: If the first swing of this pendulum travels for 42 cm and its successive swing decreases by 20%,…
A: The distance travelled by the pendulum in the first swing is d1=42 cm. The distance travelled in the…
Q: 1.) A pine tree measured 40 ½ feet tall. Over the next 7 ½ years, it grew to a height of 57 feet.…
A: Growth rate is obtained by increase in the height divided by time taken for the amount of change.
Q: Šolve. In(-x + 1) – In(3x + 5) = ln(-6x + 1)
A: To solveln-x+1-ln3x+5=ln-6x+1
Q: 1. Two airplanes left airports which are 960 km apart and flew towards each other. One plane flew 32…
A: This is a question of distance and velocity. Based on the general formula of distance and velocity…
Q: There's a tank containing 50 L of a solution into which 10 g of salt is dissolved in. A solution…
A: image is attached
Q: ·A machine is assumed to depreciate at the rate of 35.5% p.a. in valuc in the first year, a 22.5%…
A:
Q: A conical glass, 10cm high and 8cm in diameter at the top is filled with an exquisite wine to a…
A: Find the sum of volume of the wine and ice cube and compare with the total volume of the conical…
Q: For the first 10 days in December, a plant cell grew in such a way that t days after December 1, the…
A:
Q: INTEG RATIO /10 rin 12OTT o 3
A:
Q: What is the annual yield for an investment that earns 7% intrest compounded semianually?
A: We have given Interest rate, r = 7% = 0.07 Number of compounding periods, n = 2 (semiannually)
Q: (a) Sizl=1 dz.
A: Here we use property of analytic function.
Q: 3. A certain boat traveled 32 kilometers along with the current and 16 kilometers against the…
A: Given : Kilometer traveled along the current= 32 Kilometer traveled aginst the current = 16 Rate of…
Q: If the total depreciation after 1 year and 2 years in an equipment are 21,776 and 36,153…
A: We have to find salvage value
Q: -) What is the perimet
A: We are asked to find the perimeter of the shape.
Q: In( cosh(3x) - sinh(3x) )=
A:
Construct a formal proof of validity
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- Determine dimension x to 3 decimal places.4. The volume of a sphere is changing at a constant rate. Show that the surface area changes at a rate which varies inversely as the radius.The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing at a rate of 4 meters per minute. When the length is 14 meters and the width is 23 meters, then how fast is the AREA changing?? (Enter answer as an integar)
- i) Compute the value of X in Table 2. ii) Estimate mass that dissolved in the water if the temperature is set at 100 Celcius.Suppose a metal rod has length 20 cm and diameter 6 cm. If it is to be insulated, except for the ends, with a material 0.001 cm thick, determine the estimated volume of the insulation using differentials.When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01 cm /min. At what rate is the plate’s area increasing when the radius is 50 cm?
- ApproximateWhat is the average rate of change of the height of water in the vase with respect to the volume of water in the base as the volume changes from 2.5 cups to 4.25 cups? The average rate of change is?A ladder 12 meters long rests against a wall. The foot of the ladder is pulled away from the wall at a rate of 1/2 meters per minute. At what rate is the top of the ladder falling when the foot of the ladder is 4 meters from the wall?
