V'(t) = 50,000 e-3t 0sts 15 where V(t) is the value of the piece after t tyears %3D What is the change in the value of the painting in the fith year? (Gain or loss?) Write your answer in complet sentence with appropriate units Calculators are allowed to perform the integrals for this problem but you must write the integrals you are calculating

Q: A large tank is filled to capacity with 700 gallons of pure water. Brine containing 4 pounds of salt…

A:

Q: 41. A 16-foot-long trough for feeding cattle is shown above. If x = 1.5 feet, which of the fóllowing…

A: Step:-1 Given that  a 16 ft long trough and x= 1.5 feet Note:- In this figure, if we take ABC as…

Q: ng of a drug in a person's system t hours after the drug is administered, when does the drug reach…

A: Note: A stationary point of a function f(x) is a point where the derivative of f(x) is equal to 0.…

Q: A "slugging percentage" in baseball is a measurement of a player's hitting ability. It is calculated…

A: Given : 1B= 5;   2B= 3 ;   3B=1;   HR=x;   SLG=0.55 ;  AB=40;   SLG=(1B) +(2 × 2B) + (3×3B)…

Q: V = 128TT mm³ V = 686T mm3 %3D What is the scale factor of this figure? (left/right)

A:

Q: Fish Length Suppose that the length æ (in centimeters) of an individual of a certain species of fish…

A: a. Find the length after 1 year. t = 12 months x12=50-40e-0.05×12=50-40e-0.6=28.05 cm

Q: The concentration of a medicine in the bloodstream after t hours of taking it is given by the…

A: As elasped time in hours measure from 11:00 am. Therefore at 11:00am time t =0.

Q: The formula used to measure sound is L = 10log (), where L is the loudness measured in decibels, I…

A:

Q: II ni msoo sol lo ermov en Area of Base = LA = (P)(n) SA = Ph+2B 13 %3D V = %3D %3D 13 = 216 (の)(の v…

A: Please find the required solution.

Q: Match each P-value with the graph that displays its area without performing any calculations.…

A: We have given that two graphs with p-values. The shaded area is shown in the graphs.

Q: The volume V, in liters, of air in the lungs during a one-second respiratory cycle is approximated…

A:

Q: below. According to a reputable magazine, the dropout rate for all college students with loans is…

A: Step 1:Given data : Sample size n=200no. of successes x=66 Sample proportion p^​=20066​=0.33 We'll…

Q: My Work Number 14 copper wire has a resistance of o.0002525 2/ft. If the total resistance of the…

A: Topic :- Algebra

Q: The rate at which a cricket chirps depends on the temperature of the surrounding air. It is possible…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x . The value of…

Q: find the total area (x3-3x2 +2x)dx

A:

Q: Variation 04: If A = 45 when B= 9 and the values of A and B are inversely proportional, what is the…

A:

Q: Athanges ared 14 A drop of oil makes a circular ring in a water puddle. The radius of the oil ring…

A:

Q: Area above z = -2 and  Area between z = 1.2 and z = 1.4 (separate questions) What table would I…

A: Solution: To find area above z= -2 and  Area between z = 1.2 and z = 1.4  for these we would use…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.