Find the center of mass of the three particles having masses of 1, 2, and 3 kg located at the points (-1,3), (2,1), and (3,-1), resp.

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship...

A: Question- At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knot...

Q: If the following series converges, compute its sum. If not, enter "DIV" (unquoted). 9n 10" n=5

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Q: Evaluate the following limits. 1. lim(1+ Vw)(2–- w² + 3w*) w+1 12 - 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the area of the region.

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Q: 200 If 1 + 5e-0.5t 50, solve for t. t =

A: We can solve for 't' . Firstly multiply denominator term by Right hand side term and simplify . lne...

Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |...

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121 ...

Q: y+y' +y =x +4x' +12x y-2y'+2y 2e" cos(x)

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are gi...

A: To find the rate of increase or decrease in cost, revenue and profit.

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.5...

A: The balance P (in $) grows at a rate (per year) is given by, dPdt=0.065P(t) ............. (1)

Q: Calculate the producers' surplus for the supply equation at the indicated unit price p. (Round your ...

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Q: 2х — а, х < -3 Find the values of a and b so that lim f(x) and limf(x) both exist given: f(x) = {ax ...

A: The objective of the question is determine the value of a and b for which limits exist.

Q: (a) Find the average value of f(x) = 25 – x² on the interval [0, 2]. Answer: 71/3 (b) Find a value c...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: To find out the volume of the tetrahedron whose vertices are given.  

Q: Find the value of k, and write the equation. Estimate the population of the country in 2015. After h...

A: We will find the exponential function. 

Q: Original Integral Rewrite Integrate Simplify dx 9. X + C dx

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Q: If the infinite curve y = e-*, x > 0, is rotated about the x-axis, find the area of the resulting su...

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Q: Find the vector -4u+2w given the vectors u = -8j and w =-6i+5j. Write your answer in the form ai+bj....

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Q: %24 dl 10 4 60 S 8. 9- 5. 3. 2 # esc (Do not round until the final answer. Then round to the nearest...

A: Question- An investment loses 2.4% of its value every week. Find the half-life in this situation.

Q: We model pumping from spherical containers the way we do from other containers, with the axis of int...

A: To find the amount of the work.

Q: In 1980, the population of alligators in a particular region was estimated to be 1300. In 2005, the ...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A: Here we check the convergence of the given Integral.

Q: Find the area of the parallelogram that has u =i-j+ 2k and v = 3j+k as adjacent sides. NOTE: Enter t...

A: Topic = Vectors

Q: Given the differential equation and its initial conditions y" - y' 2y 0 with y(0) = -2 and y'(0) = 5

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Q: cosh^2at find the Laplace transform

A: f(t)=cosh2(at) we want to find the Laplace transform of a given function  formula L coshat=ss2-a2

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A: The given expression,    35.4

Q: A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a...

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Q: 4. (a) Estimate the area under the graph of f(x)=1/x from x=1 to x 5 using four approximating rectan...

A: Here is the solution of the given problem. Area estimation by upper sum and lower sum.

Q: Compute f'(a) algebraically for the given value of a. HINT [See Examples 1 and 3.] f(x) = -; a = 2 f...

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Q: * 00 %24 Suppose that a company introduces a new computer game in a city using television advertisem...

A: Given query is to find value of p at x = 0.

Q: Find the directional derivative of the given function at the point P in the direction of vector u . ...

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Q: Locate the critical points and identify which critical points are stationary points. f(x) = 5x – 160...

A: Given thatfx=5x4-160x2+8Solution : find first derivative and equate equal to zero.fx=5x4-160x2+8f'x=...

Q: Find the area of the parallelogram that has u = 2i – 3j + 2k and 2j +k as adjacent sides. NOTE: Ente...

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Q: Osys In 5a

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Q: Let a = ci + jand b = 6i + 54j. Find c so that a and b are orthogonal. C = i

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Q: Vx2 – 64 if x 8

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Q: xy' + y = 0, y(4) = 6 %3D

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Q: Find the directional derivative of the fellowing functions at Point Po in direction of the Vector à ...

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Q: Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v orth...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: x5 dx 3 (36x2 + 1)7

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

Q: find the value it converges to

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Q: a)Solve the following IVP: d^2y/dt^2 − 4(dy/dt )− 5y = 0, y(1) = 0, y′(1) = 2

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Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: - Sint - COS 2 sec E) tanC)

A: Recall: sec(x)=1cos(x)tan(x)=sin(x)cos(x)

Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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Q: 12. f (x) = x³ – 2x² + x – 1 ; (-4,5)

A: Function is called as an continuous if its right hand side and left hand side limit is equal.

Q: 200 If 50, solve for t. 1 + 5e-0.5t t =

A: Given query is to find the value of t.

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

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