Differentiate the function. F(t) = e4tsin(2t) %3D

Q: Differentiate the function.

A: We will use the chain rule

Q: Approximate V128 by linearizing f(x) = VI about a = 125 . What is the result?

A: Given: 1283

Q: hè upward velóčity óf

A: Given :-  The upward velocity of a rocket is given as a function of time. t  s v t  0 0 10…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm²/min, find the decreasing…

A: To find- Radius is decreasing at the rate of

Q: Find the most general antiderivative for the function - 4V?. | Antiderivative = ?

A:

Q: What is the range of the function y = cos™+(x +1)? 0(-2,0] o [0, r] T O (0, T)

A: The range of basic inverse cosine function is 0≤cos-1x≤π. The range of y=cos-1x+1 is also…

Q: The number of bacteria in a culture is given by the function n(t) 990e0.15t where t is measured in…

A:

Q: The number of bacteria in a culture is given by the function n(t)=940e0.45tn(t)=940e0.45t where tt…

A: Given,           The number of bacteria in a culture is given by the function…

Q: (b) By what annual percentage are sales for Alpha growing? (Use the model found in part (a).) By…

A: a) The growth of alpha series is  8.80×1.02t. so the growth of the second year will be…

Q: The average rate of change of the function f(x)= 4x² + 6x on the interval [1, 3 is %3D 14 22 18 28…

A: here option a is true  because average rate of change is given by on doing differentiation that is…

Q: a

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Q: Differentiate the function below using the DELTA METHOD. 1. y = csc x

A: Given function y = csc(x)

Q: Find the value of c on the interval (a, b ) f(b) – f(a) | such that f'(c) : b — а f(x) = – x² – 16x…

A:

Q: Q3. (a) Mention the engineering application of interpolation and integration. (b) The

A: To Find the engineering applications of interpolation and integration

Q: Given the function g(x) = -x² + 6x + 15, determine the average rate of change of the function over…

A: The average of a function over an interval is given by . The given function is and the interval…

Q: The average rate of change of f(x) = 3x – 5 over the interval 1 < x< 3 is a) 4 b) 3 c) 9 d)

A: Topic = Functions

Q: Find the average rate of change of g(x) 7x? + on x3 the interval [-3,3] Write your answer as a…

A: Topic:- average rate of change

Q: Find the average rate of change of g(x) - 5a + 4 from z = - 3 to a = 3. %3D Question Help: D Video…

A: From the Average rate of a function

Q: t value for x and y makes

A:

Q: Find the average rate of change of f(x) = 6x Your answer will be an expression involving b. 8 on the…

A: Follow the steps.

Q: Differentiate the function.   y=e^0.5t

A: Refer to the question, we have to find the derivative of the provided function y = e^0.5t.

Q: [a] Use the data from the table to find an approximation for R'(45).

A: We have to use properties of derivative.

Q: Q18. The marginal propensity to consume (in billins of nupees) is = = 0.6 + d: 0.5 dx 2r1/2 when…

A:

Q: Q3: Find the value of B, the energy density and the rate of energy flow per unit area S, for the…

A: Energy Density is defined as the total amount of energy in a system per unit volume.   It is denoted…

Q: st rate. Consumers react to this rise ding today and spending tomorrow er, and he decides to…

A: The optimal choice for the Lili is shown below as,

Q: Differentiate the function y=xcosx  and y=(x+1)e2x.

A:

Q: The number of bacteria in a culture is given by the function n(t) = 925e0.5t where t is measured in…

A: The number of bacteria of culture is given by the functionnT=925e0.5 twhere t is measured in hours…

Q: d y is a function of tin

A:

Q: A balloon is inflating at a constant rate of 9 cubic centimeters per second. When the volume of the…

A: Given: A balloon is inflating at a constant rate of 9 cubic centimeters per second. when the volume…

Q: Q 4 Find the average rate of change between 5 and 0 for: f(x) = 6x2 -9x - 6

A: Obtain the average rate of change of function as follows:

Q: Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t)…

A: Given, C’(t) = kC(t) We have to calculate the concentration at time t also calculate the time when…

Q: The graphs below show four functions: 10 8. 5, 3. D. 05 15 25 3.5 Which graph best shows the…

A:

Q: a. What is the slope of the constant function y = k?b. What is the rate of change of a constant…

A: If function is given as y=fx Then the slope of the function is given as the first derivative of the…

Q: 40 Use the table to estimate f(x)d=

A: Given,     x 0 10 20 30 40 f(x) 330 410 430 460 490 To estimate :              ∫040f(x)dx=?

Q: The length of a rectargle is 3 inches lorger than 4 times the width (x). Which is the arealy…

A: The length of rectangle is 3 inches longer than 4 times the width.

Q: Differentiate the function with respect to the independent variable. f(s) = s° e4 +3e f'(s) =D

A: Consider the given: fs=s3e4+3eDiffrentiate w.r.t.…

Q: 10. g(t) = V1+ In(t)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: S(x) = 3r2 - 5r + 10 %3D What is the rate of change as x goes from r=2 to r = 4? SUBMIT

A: Given: f(x)=3x2-5x+10 a=2 b=4

Q: WESE Find E (X+Y)

A:

Q: Q4:Find the relative extrema of f (x) I+3 I- 2

A:

Q: D. Now that you know the equation of the line of best fit, use the equation to estimate the BMI of a…

A: Use EXCEL to determine the regression equation.   EXCEL procedure:   Go to EXCEL Go to Data&gt;Data…

Q: VOLUME FUNCTION VTCH)=( ax?T Cax2π 318091 797 %3D 10 500 2000

A:

Q: A culture initialy has N mumber of bacteria. At t = 1 hour the mumber of bacteria is measured to be…

A: Let N be the number of bacteria at time t. The rate of increase which is proportional to N = dNdt…

Q: If you want to model the percentage figures with a function of the form f(t) = at2 + bt + c would…

A: As shown data in the book we see that the parabola is downward so :

Q: Differentiate the function. y = In(12 + t – t³1) y' =

A: Here we differentiate the y with respect to t

Q: D = R = Function?

A:

Q: As y increases by 10,x Jncreases by 5. Which equation represents this rate of change? (7.1B, 7.1D,…

A: Rate of change = change in y /change in x

Q: artment has found that the demand in a particula 10 0 <a usand lipsticks were sold per week at a…

A:

Q: y? For function f (x, y) x2+1 Starting from the point (1, 2), at which direction does the above…

A:

Q: The per capita consumption of breakfast cereal in the US has the following model that appears above…

A: Given : per capita consumption function .        To find  : Rate of consumption .