1.5 2 2.5 3. 5 f (x) 12. 0355 18. 0022 22. 4523 32. 3452 69.0998

Q: The population of two different species are given by P1 P1 = 3 ln(t) +7° and P2. where t is measured…

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Q: leaks

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Q: If the rate of excrection of a bio-chemical compund is given by f ' ( t ) = 0.03 e -0.03 t , the…

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Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 )

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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: Write a differential formula that estimates the change in the surface area S= 6x of a cube when the…

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Q: An 80-kg skydiver jumps out of an airplane (with zero initial velocity). Assume that k = 12 kg/s…

A: The skydiver's velocity is governed by the differential equation: And the solution to this equation…

Q: Differentiate the following function. y=x10 ex dy dx II

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Q: Find the rate of change of x with respect to p. 4 x2 0 0.000001x2 + 0.09x + 5 dx dp ||

A: Proceed as shown below

Q: What is the value of the differential if f(x) = x + 2x - ! x = 8.4 and dx = 0.86. Round your answer…

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Q: B)ls w = z²1² analytical function or not?

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Q: A cola vending company estimates that their cola will be consumed by people at a rate given by: C…

A: Topic = Algebra

Q: 4. Differentiate the following function.   y=5e x−5x dy/dx=nothing   Enter your answer in the…

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Q: Two students are calculating the instantaneous rate of change of y= sin(x) at x = Student A claims…

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Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: To determine the velocity from the given conditions

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Q: If I have a C(t) = 55te^-.3t measures the concentration in ng/ml, what is the peak concentration of…

A: This question can be solved by applying the concept of maxima and minima.

Q: 2. The rate at which the number of bacteria in a culture is changing (in thousands of bacteria per…

A: As per our limit we can answer only the first question. If you want other questions to be answered…

Q: At time t = 0, a seed is planted Aftert weeks, the height of the plant is given by f(t) = 0.3t² +…

A: After t weeks , the height of the plant is ft=0.3t2+0.6t+0.5 inches Find the rate of plant growing…

Q: 6. 8. 10 f (x) 12 15 105 32 23

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Q: If a ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

A: Given, A ball is thrown into the air with an initial velocity of 42 ft/s, its height in feet after t…

Q: Use the Simpson's rule to estimate S, ex dx with n = 4

A: Consider the given integral ∫12ex2dx with n = 4. Simpson's rule is,…

Q: If F = 0.85 and MSE = 86, what is MST equal to?

A: The total variation present in a set of observable quantities may, under certain circumstances, be…

Q: S Зх-7 dx 10х2+3x+11

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Q: If a ball is thrown into the air with an initial velocity of 52 ft/s, its height in feet after t…

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Q: An evolved kind of green fungi is shrinking at an initial rate following f(t) = vVE + 5, where t is…

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Q: Differentiate the following function. y = x12 ex dy dx II

A: To differentiate the function y = x12ex

Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: Q1: Find dy/dx of the following functions: 1. x?e? y = log2 2Vx+1,

A: Disclaimer: Since you have posted multiple questions, we will be answering only first question for…

Q: 6. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t…

A: We have given function y=10t-1.86t2 where, y represent height in meteres after t second. We have to…

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A: The number of franchises for its products will grow at the rate  dndt=4t+1 where t is the number of…

Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = er+1) 3- xy +x*y = 3 at x = 1

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: A NASA spacecraft measures the rate R of at which atmospheric pressure on Mars decreases with…

A: Unit Conversion Formula:

Q: The distance (in feet) of an object from a point is given by s(t) = t2, where time t is in…

A: Given the distance of an object from an point at time t is given by equation s(t) = t2, where t in…

Q: Use the Simpson's rule to estimate e**dx with n = 4

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Q: Use differential to approximate the value e1.01.

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Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second…

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

Q: are

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Q: A man 1.8 m. tall is walking at the rate of 1.2 m/s away from a lamp post 6.7 m high. At what rate…

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Q: (t) s(t) xt)

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Q: Calculate the error of approximation with Ea for the following functions when x = 2, Ax = dx = 0.08

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Q: An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) =…

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Q: What is the value of the differential if f(x) = x + 2x - x = 2 and dx = 0.63. Round your answer to…

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Q: A tumor is approximately modeled by the shape of a sphere, given by the following equation: V = 4 3…

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Q: With n > 0, does x" dx get larger or smaller as n increases? Explain graphically.

A: Given: The given integral is ∫01xndx. Calculation: Use the integral formula, ∫xndx=xn+1n+1+C.…

Q: A particle that moves along a straight line has velocity v(t) meters per second after t seconds. How…

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Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: Given query is to find the velocity.

Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

A: Given

Q: Q3. Change the order of integration and evaluate * * dy dx.

A: To evaluate ∫04∫0xdy dx using the change of the order integration. From the limit of integration the…

Q: By direct calculation, estimate the value of dc/dx for f(x) = 1/x^2 at c=4. Use ab increment of…

A: (x) = 1/x^2 at c=4.