A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than the height. Find how fast the total surface area increases as S increases. O 10s2 + 36S + 12 16S + 24 18s2 + 24S + 12 8S + 10 20S + 36

Q: f(t) = t3 − 15t2 + 72te) Find the total distance traveled during the first 7 s.

A: The objective is to find the total distance traveled during the first 7 s.

Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A:

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: The rate of change of a function y=f(x) is the derivative of f with respect to x.

Q: In the given question ,, two models R1 and R2 are given for revenue (in millions of dollars) for a…

A: Given: Two models of revenue for a corporation which are estimates of revenues from 2020 through…

Q: AMPZ IS NOW FOUR TIMES AS OLD AS BUYCZ. IN FIVE YRS, AMPZ WIn BE THTLEE TIMES AS OLD As BUYCZ. FIND…

A: Let A be the Ample's age and B be the Buycz age A is 4 times as old as B A=4B In 5 years, A becomes…

Q: iven Cost and Revenue functions C(q) = q° - 10q + 56q + 5000 and R(q) = - 3q + 2600q, what revenue…

A:

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A:

Q: For a certain square, the side is increasing at the rate of 2 mm/s. At what rate is the perimeter of…

A: We know       Perimeter (P) = 4 × ( side of square)

Q: c. Two men start from two different towns 20km apart and walk towards each other. They meet in…

A:

Q: A cancer patient’s white blood cell count C(d) grew after chemotherapy treatments according to the…

A:

Q: 2. A police officer used the model d = 0.1v2 + 1.1v for a car's stopping distance, where v is the…

A: The model to calculate the stopping distance of car is given as follows: d=0.1v2+1.1v…

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: A ball is thrown vertically upward from a height of 8 feet with an initial velocity of 48 feet per…

A: Given: s(t)=-16t2+28t+8

Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t)=3…

A:

Q: A veterinarian depreciates a $10,000 X-ray machine. He estimates that the resale value V(t) (in $)…

A: Approximated resale value is V(t)= $100000.9t

Q: A ball is thrown straight up into the air off the top of a building so that is height in feet after…

A: The average velocity of the object over an interval [a,b] is given by s(b)-s(a)b-a, where s(x) is…

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: topic - derivatives

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A:

Q: The number of toy planes an employee can assemble from its component parts depends on the length of…

A: the output model is given by,

Q: A rock falls from a tower that is 208 feet high. As it is falling, its height is given by the…

A:

Q: The length of a rectangle is increasing at a rate of 13 centimeters per second and its width is…

A: Let length of a rectangular = l      width of a rectangular = w    Given: l = 9 cm , w = 7 cm ,…

Q: The bacteria population in a bottle at time t (in hours) has size P (t) = 1 OOOe0.35t. After how…

A: Population of bacteria in a bottle at time t (in hours) is given as Pt=1000e0.35t We have to find…

Q: A veterinarian depreciates a $10,000 X-ray machine. He estimates that the resale value V(t) (in $)…

A:

Q: Complete the table below by finding the product of each x-value times its corresponding y-value. For…

A: Given data:   Temperature (°C) x Solubility (g/100mL) y 10 31 20 33 30 37 40 41 50…

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: We need to choose correct option.

Q: 4 – 8x4 Find an antiderivative for the function x2 Antiderivative =

A:

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: A rectangular box has height h = s, length l = 2s and width w = s + 6 Now, the total surface area SA…

Q: The length of a certain weed, in centimeters, after t weeks is f (t) = 6/.2 + 5e-0.5t.  How fast is…

A: DIfferentiation helps to find the rate of the function. Differentiation of the given function with…

Q: A company projects that its total savings S (in dollars) by converting to a solar-heating system…

A:

Q: A virus is believed to be spreading through a sheep farm according to that equation N = 450…

A: ) A virus is believed to be spreading through a sheep farm according to that equation…

Q: 6.) Before bed Chet finished with some pumpkin pie. The rate at which he ate the pie can be…

A: Given query is to find the amount of pie eaten in 3 min.

Q: On a college campus of 3000 students, the spread of flu virus through the student is modeled by (t)…

A: Given: 3000 students are in the college campus, spread the flu through the student by…

Q: t takes 50 minutes to machine a certain part. Using a new type of tool, the time can be reduced by…

A: We are given time take to machine the part using old tool = 50 minutes Using new type of tool time…

Q: Use linearity to evaluate the sum. 20 E5(6) j=1 (Give your answer as a whole or exact number.)

A:

Q: A-12 94= 了.023 b. h-6

A:

Q: Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled…

A: Given:

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: follow next step

Q: The length of the monkeyface prickleback, a West Coast game fish, can be approximated by L = 71.5(1…

A: Since you have posted a multiple subpart ,we solve first 3 subparts for you .To get the remaining…

Q: The population P of a bacteria culture is modeled by P = 4100e“, where t is the time in hours. If…

A:

Q: A projectile is launched upwards from the roof of a building that is 64 feet high with an initial…

A:

Q: 1 11 k(k +2)(k +4) 96 k=1

A:

Q: The legnth of a rectangle decreases at 3cm/sec, while its width increases at 2cm/sec. At a certain…

A: let  assume    at time t  length of rectangle is    x  cm  and  its width is y cm   now   Area of…

Q: If a resistor of R ohms is connected across a battery of E volts with internal resistance r ohms,…

A:

Q: A rectangular box has a height of S, the length is twice the height, and the width is 6 greater than…

A: Let's Solve, Answer: Option E

Q: A rectangular box has a height of S, the length is twice the height. and the width is 6 greater than…

A:

Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

A: A tumor in a person's body has a spherical shape and that treatment is causing the radius of the…

Q: A cylindrical pool has a height of 8 feet and radius of 6 feet. How fast is the volume (in cubic…

A: We need to find how fast volume is increasing.