If V (t) is the amount of oil in a barrel being filled at time t, what physical quantity is represented by the integral of V'(t) from time tį to time t2?

Q: The population P(t) of a town increases as the equation P(t) = Poe0.24 If P(2) = 2323, what is the…

A: The objective of the question is evaluate the initial population and choose the correct option.

Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t< 10 L

A: I am attaching image so that you understand each and every step.

Q: Consider the table below for lim (f(n)). f (n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000…

A: The given table value, n f(n) 510.5 1022 510.9 5110 510.99 51100 510.999 511000

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A: Finding a pattern from the given terms.

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Q: 5 li sin lax tan 4x

A: Given query is to find the limit of the expression

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Q: 4 – 5x5 Find the limit lim x – 7 Enter I for o, -I for -o, and DNE if the limit does not exist.…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

A: a) a = -i +5ju = a|a||a|=(-1)2+52 =1+25=26|a|=26u=-i+ 5j26u=-126i +526j

Q: (13 -3x + 8 ) dx

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Q: The function f(x) = 2x – 30x + 126x + 2 has one local minimum and one local maximum. This function…

A: The given function is  fx=2x3−30x2+126x+2

Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

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Q: Question 2: A bacteria culture initially has 600 number of bacteria and triples in size in 8 hours.…

A: Given problem:- A bacteria culture initially has 600 number of bacteria and triples in size in 8…

Q: 23 — 4а2 + 8ах + 1 f(x) = 2? — 2х + 2

A: answer is in next step

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Q: The differential equation d y 3x4 2- (3 In x)y = - dx2 is a Bernoulli's equation. Select one: O True…

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Q: An Olympic athlete set a world record of 9.65 s in the 100-m dash. Did his speed ever exceed 37 km/…

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Q: A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m…

A: answer is in next step

Q: S(Võ +) 1 do

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Q: Y(s) S + 8 Use the Laplace Transform table to convert this function into f(t).

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Q: The demand function for a certain commodity is given by p = 100e−q/2. (p is the price per unit and q…

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Q: The raius of a circle is randomy chosen fro the interval (0,10). Determine the probability that the…

A: Let, the radius be r, which belongs to the interval (0, 10)  So, 0 &lt; r &lt; 10  The area is, A =…

Q: Evaluate the following limits. If needed, enter INF for o and MINF for -0. (a) It – 9 lim t²+5t +5…

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Q: A child flies a kite at a height of 80 ft, the wind carrying the kite horizontally away from the…

A: Solved below

Q: The function A(x) = 0.001x -0.01x +0.02x +0.04 approximates the blood alcohol concentration in a…

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Q: O Analyze the graph of fex), then ansuwer the questions. FOX Coriginal function graph) maximum5)…

A: From the given graph we can conclude that - --&gt;  f(x) has local maximum at x=0       and the…

Q: If your car gets 27 miles per gallon, how much does it cost to drive 440 miles when gasoline costs…

A: Total distance divided by distance per gallon gives the number of gallons required

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A: Convert the 24% annual rate of interest to a weekly compounded rate. A number of weeks in a year =…

Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: 1. A stone is thrown upward from the top of a tower 50 meters high. Its velocity in an upward…

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Q: 5. Jxе2x dx

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Q: 4 Find lim cos C→十0 Enter I for o, -I for –∞, and DNE if the limit does not exist. Answer:

A: Topic = Limits

Q: Let f be the function x + 9 for x 2 Find the value of c that makes the function left-continuous.…

A: This question can be solved using the concept of left and right continuity.

Q: dy Find by implicit differentiation. 20x = 20 - ey ... dx (Type an exact answer.)

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Q: For each problem, use the method of cylindrical shells to find the volume of the solid that results…

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Q: The base of a prism is a hexagon inscribed in a circle. If the difference in the circumference of…

A: Let's find.

Q: For each relation, decide whether or not it is a function. Relation 1 Relation 2 Domain Range Domain…

A: For 1st question, Relation 1  Image of every element is unique hence relation is function.

Q: The logistic equation dP P(a – bP), a > 0, b> 0, is a first- dt order linear differential equation.…

A: To find whether given logistic equation is first order linear differential equation or not .

Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.5x + 350, what is the…

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Q: dy You need not expand your answer. dx Calculate y = (7x0.5 – x2)2

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Q: Given y = Vx – 2Va – 2; Find y'. - |

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Q: Let y(x)=1/x+3 Estimate the slope of the tangent line of y(x) at the point x=1.

A: Given query is to find the slope of the tangent.

Q: Find the Jacobian of the transformation. x = 4v + 4w?, y = 9w + 9u?, z = 5u + 5v2 Ә(х, у, 2) d(u, v,…

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