2013 2009

Q: Note: Enter 'DNE' if the limit does not exist or is not defined. a) lim F(x) = 3 lim F(x) = 3 X--1*…

A: Solve the following

Q: Approximating Sums Suppose you wish to approximate the area under the graph of f(x) = 2 cos(r) + 3…

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

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Q: 4 Find the length of the curve y=x3 3 %3D x3 +5, 1 Record Audio Record Video Add a File

A: To find out the length of the curve.

Q: dy Given the equation below, find dæ 20a + 4x0y + y° = 25 dy dx Now, find the equation of the…

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Q: AB is the vector from the point (1, –2) to the point (5, 1). Find a unit vector in the opposite…

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Q: V9, 0< y< 4 Find the area of the surface generated by revolving the curve x = about the у-ахis.

A: We have to find the surface area.

Q: Solve the system of differential equation if two connected tanks as tank-1 contains 800 gal of water…

A: We have demonstrated the given information for the ease of better understanding  Let us assume that…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: 17. Use L'Hôpital's Rule to evaluate the limit lim(x)1/x). Write oo if the limit is infinite.

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

Q: Solve the following payoff matrix to find the best strategies and the value of game: B1 B2 Al 8 A2 3…

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Q: Use long division to divide. (5x - 12x? - - 4x + 3) ÷ (5x + 3)

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Q: Solve the DE using Linear First Oder Method: y +yx = x - 3. if y(0) = 2 %3D

A: Solving

Q: 4. For each series determine if it is convergent or divergent. Give reasons for your answers. (-3)*…

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Q: 1 4 5 1 To find the blue shaded area above, we would calculate: 9. f(x)dx = area a Where: a = b =…

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Q: The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can 2632 be…

A: see below the answer and calculation

Q: Suppose that F(x) = f(t) dt, where V5 + uo du. f(t) = Find F" (2). F" (2) =

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Q: "en J(2, 9) 5y), find =(z, y) = (z, y) = -(z, y) = %3D

A: We wil find the second order partial derivative.

Q: Assume that x and y are both differentiable functions of t and find the required variables below.…

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Q: the side length of the square pieces which are cut out. Find the value of x which gives by removing…

A: To find the value of x that gives maximum volume of box.

Q: 6х3-5х2 +9х+15 Зx+2

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Q: .......................... .......................... Solve the equation algebraically. Round your…

A: Solving the problem by finding the value of x.

Q: A farmer has 2,000 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: Maximize area

Q: Find the slope of the tangent line to the curve la? + 4xy – 2y = 185 at the point (- 3, - 4).

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Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

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Q: The graph of f(r) is given below and F(z) = -2 Find F(4)- a) O 12 b) 06 3 c) O d) O e) 09

A: The given data is: The graph of fx is given below and Fx=∫0xftdt    To find the value of F4

Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: A rancher has 300 feet of fencing to enclose two adjacent rectangular corrals, as shown in the…

A: Maximize area

Q: -8x+18 f(z) 9(z) The partial fraction decomposition of can be written in the form of 8x2 + 14x + 3…

A: Here we have to solve the problem by using the concept of partial fraction to obtain the desired…

Q: Evaluate the definite integral. NOTE: Enter the exact answer.

A: Given problem:-

Q: Find the sum. 59 4-5k Σ 9. k= 12 The sum is (Simplify your answer.)

A: I have appended the formula used in the solution part of the question

Q: dy 3x2 + 2 and dt dx Find 3 if y = – 2. at x - dt dx dt

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Q: 12. The function f(x) and its first and second derivatives are as given below. f(z) - 2 6- 2z g"(z)…

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Q: (a) Let L and L'be two lines in R3 L: L': = Y=2 = 2=5. Determine if the lines intersect at a point.…

A: We need to choose correct option.

Q: Given f(z, y, z) = V31 – 4y + 6z, find fz(x, y, 2) = fy(x, y, z) = f:(1, y, z) = %3D

A: Given :f(x,y,x)=3x-4y+6z

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

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Q: 1. x'-11/x +2 dx

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Q: Use series to estimate the integral 1-cos x dx x2

A: Series

Q: 3x - - 4y 2xy 96

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Q: Describe the graph of the equation: r = 34 – Sj + (I + 30k. [Choose the correct answer) O The…

A: Given problem:-

Q: seco SI sin 20 dp dộ dên o Jo

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Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. a. P(x) =x'-4x²…

A: a. P(x)=x^3-4x^2+5x-2 At c =2 Hence by synthetic devision 2| 1  -4    5    -2    =&gt; coefficient…

Q: Jse a graphing calculator to construct a table of values and a graph for the first 10 terms of the…

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Q: Question 8 Evaluate the integral below by interpreting it in terms of areas. In other words, draw a…

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Q: Q2\Find the point at which the tangent to the curve y = v4x² +1- 2 has its slop 2

A: 1

Q: A(8, 3,8), B(9, 8,33), C(9, 5,12), D(9, 7,24) are four points in R3. Let E be the parallelepiped…

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Q: Test the series below for convergence using the Ratio Test. 4 0.5" T=D1 The limit of the ratio test…

A: Given query is to applied ratio test.

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 T(0) = N(0)

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Q: At the beginning of an experiment, a scientist has 124 grams of radioactive goo. After 270 minutes,…

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Q: 5. Consider the power series E (x-1)" n=1 n3m 6.1. What is its center? 6.2. Find its interval of…

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