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Q: . A vertical line segment of length 8 ft is moving horizontally at a rate of 3 ft/sec. At what rate ...

A: We have to find the rate at which area is being swept out by the moving vertical segment.   Accordin...

Q: Approximate the area under the curve y=x^2 from x=0 to x=2 using a Right Endpoint approximation with...

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Q: Find the limit. Use l'Hospital's Rule lim (cos(x))1/x?

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Q: Find the Taylor series for f centered at 9 if (-1)"n! 5"(n + 1) Ain)(9) = - n = 0 What is the radius...

A: We have to solve

Q: 00 Vrite the general formula for following alternating series in the form an. Σ n=1 8 8 8. + 12 8 10...

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Q: Given the function f(x)=x^3+9x^2+19x+4, determine all coordinate points (x,y) on the graph of f such...

A: Differentiate the given function and equate to -5 and find coordinate points.

Q: 6. An investment account was opened with $3,000 in the year a) What are the independent and dependen...

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Q: At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing no...

A: We will find the rate of change of distance between the ships 

Q: 81 1+ Vx dx

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Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints...

A: Find the value of ∆x from given information in the integration and put in desired format of equation...

Q: Suppose the sequence {bn-1 is bounded and lim an = 0. Prove lim anbn = 0; that is, prove for any e >...

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Q: (i) Find domain and range of the following functions f(x, y, z) = /x – y² and g(x, y, z) = V1-x² yz ...

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Q: Since the profit model is a cubic polynomial, the marginal profit is a linear polynomial, cubic poly...

A: Note: According to bartleby guidelines, solution of first three sub-parts will be provided.

Q: Differentiate each function. 1. y = 2 sin³ n x 2. у %3D csc(x3 — 1) 1- sin x 3. У - 1 + sin x cot x ...

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Q: J 3X+ 9 e dx

A: We will integrate the following expression using Substitution and integration by parts. 

Q: EXAMPLE 7 If it is known that f(x) dx = 12 and f(x) dx = 10, find f(x) dx. SOLUTION By a property of...

A: We have to solve

Q: A random variable has a Pareto distribution with parameters a > 0 and xo > 0 if its density function...

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Q: 21. A projectile is launched from a platform 18 feet high with an initial velocity of 104 feet per s...

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. cos“ (5t) sin...

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Q: In the middle of the twentieth century, prehistoric cave paintings of animals were found in a cave. ...

A: The paintings are 15149 years old.

Q: Choose ALL the correct statements about f (x) = x° – 12x +6. f(x) has a local maximum at x = 2. O f(...

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Q: Plot the complex numbers 3-i and -1+7i in the complex plane. Imaginary Axis 8- 7- 6- 5- ? 3- 2- 1- R...

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Q: Find a power series representation for the function. (Give your power series representation centered...

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Q: pis the wholesale price (in dollars) of a sleeping bag fora weekly demand of z sleeping bags; C is t...

A: There are many subparts so as per instruction we are allowed to solve the first three subparts and f...

Q: O y = In %3D Oy = In () y O y = In 6. %3D 88 Oy = In %3D O y = In O y = In 36 00

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Q: A stone is thrown upward from the top of a building. Its height (in feet) above the ground after t s...

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Q: 9(x – 4) + 4 (ӕ — 4)(ӕ — 2) - f(x) = - Where are the critical numbers? (Separate multiple answers wi...

A: follow next step

Q: rypt the message and then message. use the corresponding inverse matrix to decode the matrix, E, is ...

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Q: The pressure P and volume V of an expanding gas are related by the formula PV = C, where b and C are...

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Q: In the following express the limit as integral only. DO Not Evaluate the integral: n lim (cos (2Tx;)...

A: The given data is: limn→∞∑i=1ncos22πxi*∆x    over 0,5 To express the given limit into integrals only...

Q: ~F = z(x2+ y2) ~k through the disk of radius 4 in the plane z = 2, centered on the z-axis, oriented ...

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Q: 1.) Find the open interval(s) on which f is concave upward. (Enter your answer using interval notati...

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Q: Consider the function f(x) 2x3 15x? 36x + 5 on the interval [ - 6, 8]. Find the average or mean slop...

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Q: etermine whether sin(x)dr converges or diverges. If this improper inte termine its value

A: Given:   Intergral is given.

Q: Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints...

A: We have to find the reimann sum

Q: Let g(x) = f(t) dt, where fis the function whose graph is shown. y f t 2 10 (a) Evaluate g(0), g(2),...

A: Let's find. 

Q: you have 80 meters of fencing and want to enclose a rectangular area up against a long, straight wal...

A: Given:- If you have 80 meters of fencing and want to enclose a rectangular area up against a long, s...

Q: Solve for k if: ln(k)=2.2876

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Q: 1) Match the following functions with the appropriate Taylor series: e-2x 1-2х+4х? — 8x3 +... 8x 32x...

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Q: Find the total value TV of the given income stream and also find its future value FV (at the end of ...

A: Here we find the total value and future value of TV

Q: 14. A box with a square base and open top must have a volume of 32,000 cm³. Find the dimensions of t...

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship...

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Q: Jiel=3 zp- (2:4 +3)(3=7 + 2)

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Q: 1. lim -4x +7 = -1 X-2

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Q: Solve the IVP: y" + y = 6(t – 2m), y(0) = 0, y (0) = 1.

A: y“+y=δt-2π

Q: 7. Evaluate the following integral or state that it diverges: Lo xe* dx

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Q: Calculate the consumers' surplus at the indicated unit price p for the demand equation. HINT [See Ex...

A: Given, q= 130-2p 2p= 130-q p= (130-q)/2  Demand price= p=65-(q/2) Indicated price= p= 16

Q: Evaluate the integral. + 5v7 dv

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Q: Use substitution to rewrite and solve the definite integral: 5æ(a² – 2)*dæ Let u = New integral: du ...

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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