The voltage E of a certain thermocouple as a function of the temperature T (in "C) is given by E= 2.400T +0.008T?. If the temperature is increasing at the rate of 3.00°C/ min, how fast is the voltage increasing when T=90°C? The voltage is increasing at a rate of V/min when T=90°C. (Type an integer or decimal rounded to two decimal places as needed.)

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A:

Q: Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO).…

A:

Q: (a) What is the cyclist's average speed, in mph, over the time interval [0, 1]? (b) What is the…

A: a) At t=0, distance=0 miles At t=1, distance= 12 miles So the average speed in the time interval…

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: This is a problem related to distance and velocity. By using the below formula we will solve given…

Q: Q1 A balloon is rising vertically above a level, straight road at a constant rate of 2 ft sec. Just…

A: 1 Let the distance between bicycle and liftoff point be xt And distance between balloon and liftoff…

Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n =…

A: The length of the interval is ∆x=b-an Here ,a=0 ,b=6 ,n=6. Let x0=0,x1=1, x2=2,x3=3, x4=4,x5=5,x6=6.…

Q: - Which of the following functions grow faster than In x as x→ o0o? Which grow at the same rate as…

A: Derivative of a function determines the change of variable with respect to another variable. Whereas…

Q: amount

A: Please refer to the image below

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A:

Q: 7- 4- Based on the graph above, estimate to one decimal place the average rate of change from x = 1…

A: To find the average rate of change we divide the change in output value by the change in the input…

Q: Let r be the reciprocal of a number n. /hat is the instantaneous rate of change of r with respect to…

A: Let r be the reciprocal of number n ⇒r=1nNow,instantaneous rate of change of r with respect to n…

Q: The fungus Fusarium exosporium infects a field of flax plants through the roots and causes the…

A:

Q: Suppose the formula B = 5√T yields a good approximation to the amount of bacteria, as measured by…

A: To find the instantaneous rate of change of B with respect to T, differentiate B=5T with respect,…

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: A fraction is a number in the form xy (where x and y are both integers and y≠0). In the above number…

Q: When a vertical beam of light passes through a transparent medium, the rate at which its intensity I…

A:

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: solution: It is given that the initial velocity of the ball is 25 ft/s the height of the ball after…

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A:

Q: (4) Consider the graph of f(x) = Vr below. Is f(x) differentiable at r = 0? If so, what is f'(0) and…

A: Given function is fx=x3

Q: 2. Suppose the rate of growth of bacteria in a Petri dish is given by q(t) = 3°, where t is given in…

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

Q: The length l of a rectan-gle is decreasing at the rate of 2 cm/sec while the width w is increasing…

A: (a)Given:

Q: The graph of the acceleration a(t) of a car measured in ft/s? is shown. Use Simpson's Rule with n =…

A: Values at the points are not perfect, so first look at the table and proceed.

Q: No calculator is allowed for the following problem. Water is pumped into a tank at a rate of R(t) =…

A: Given that,    Rate of water is pumped into a tank is Rt=82t gallons per minute.   Rate of water is…

Q: Daily crude oil production by one particular oil company for 2008-2013 could be approximated by P(t)…

A:

Q: Suppose that z = x²y°, where both x and y are changing with time. At a certain instant when x = 2…

A: Explanation of the answer is as follows

Q: A company estimates that its sales will grow continuously at a rate given by the function S^1(t) =…

A:

Q: A tank has the shape of an inverted right circular cone with a radius of 5 metres and a height of 16…

A:

Q: The production output of a certain factory is N(t) = √² + 10t + 8 where N(t) is the output in…

A: Given is the production output asN(t)=t2+10t+8 We need to find out the rate at which the production…

Q: If a rock is dropped from a height of 196 ft, its poistion t seconds after it is dropped until it…

A:

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A:

Q: Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide (CO).…

A: To find the solution

Q: 7. A conical pile is formed by pouring sand at a rate of 30 cm/s. When its base diameter and…

A:

Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n- 6…

A:

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: Follow the steps to follow through the answer. See the steps and the answer is marked with black pen…

Q: A computer, using data from a refrigeration plant, estimated that in the event of a power failure…

A: The temperature in the freezer after t hours of power failure is given by, C=5t0.04t+1−35 To find…

Q: What is the average rate of change of log(x) on the interval [1, 10]? 1 1 10 1/9

A: Note down few values of log(x). log(10)=1 log(1)=0

Q: The gross national income (GNI) of a certain country (in billions of U.S. dollars) can be…

A: (a)  the given f(t)=1023e0.176tdifferentiate f(t) with respect to t, we…

Q: The graph of the acceleration a(t) of a car, measured in ft/s2, is shown below. Use Simpson's rule…

A:

Q: Under a set of controlled laboratory conditions, the size of the population of a certain bacteria…

A: Given size of population of bacteria as a function  of time t is ,  P=ft=3t2+2t+1

Q: The number N of bacteria in a culture after t days is modeled by 3 N = 500 1 (1? + 2)2 Find the rate…

A: N=5001-3t2+22

Q: No calculator is allowed for the following problem. Water is pumped into a tank at a rate of R(t) =…

A: Given that,  Rate of water is pumped into a tank is Rt=82t gallons per minute. Rate of water is…

Q: A vehicle purchased for $29800 depreciates at a constant rate of 8%. Determine the approximate value…

A: cost price of vehicle=$29800 Constant rate of depreciates =8% per year We have to find the…

Q: Suppose the area A of a particular rectangle increases at a rate of 2 cm^2/sec and the width w of…

A:

Q: The area A(t) of a circular shape is growing at a constant rate. If the area increases from 97 to…

A:

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A:

Q: A. Use similar triangles to express r in terms of h. B. Express the volume of the water as a…

A: Given: A container in the shape of an inverted right cone of radius 2 cm and depth 5 cm is being…

Q: In an experiment, the population of C of a certain type of a bacteria int hours, is given by... C(t)…

A:

Q: A jet is approaching a radar station with a speed of 1,256 mph and a stable altitude of 9504ft. When…

A:

Q: The height of a triangle is increasing at a rate of 2 [cm/min] and its area at a rate of 2 [cm²/…

A: It is given that height of triangle is increasing with a rate 2 cm/min and area with a rate 2…

Q: Consider an isosceles triangle of base 16 inches and edges z, and assume that z is a function of…

A: Base of triangle = 16in  Edges = z in

Q: A pendulum of length 10 cm has swung so is radian measure of the angle formed by the pendulum and a…

A: Follow the procedure given below.