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Q: USE NEWTONS METHOD.  Find the 3rd estimate of the root of f(x)=x2-sin2x-1. . Use X0=0.5.

A: We know Newton's method iteration formula. xi+1=xi-fxif'xi ; where i=0,1,2,3.....    Given:…

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Q: Find f. f"(x) = 6 - 6x - 40x, f(0) = 7, f'(0) = 6 %3D f(x) = %3D

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Q: af If f(x, y) = (18x - y)°, then is given by: 45 | 11 45 9. - 0-#(18z-유y)' 45 9. 45 O 1(18x 9. 11

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Q: Solve the following equation: tan 2x+ tan 3x 4

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Q: Find the limit. 6x +2 lim 13x 9 > Next Question

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Q: help

A: We have to find the value of the given integral according to the given information

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Q: y 6 4 3 2 -4 4 5 -2 -1 -1- 12 3 Find the value of the indicated quantity if it exists. lim f(x) 1.…

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Q: dx V4-9x2

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Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm. What…

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Q: Given that x and y are functions of time, find the indicated rate of change. dx dy Find when x = 4,…

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Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: A manufacturer estimates that the marginal cost for its latest product is C(q) = 11.2 − 0.03q +…

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Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: 4. Sx 2* dx

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim t→+∞ \ 4t2 + 5'4t (?, ?)

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Q: 7. A spherical balloon has a circumference of 25 cm. a.) What is the approximate surface area of the…

A: Surface Area of sphere=4πr2  volume of sphere=4/3πr3 According to guidelines we solve only first…

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Q: Direction: Prove using the three conditions of continuity if the following function is continuous or…

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Q: What is the area of the region between the graps y = x – 1 and line y = -x – 1

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Q: 8. A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate…

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Q: 14.A girl walks 2 km due east from a fixed point O to A, and then 3 km due south from A to B. Find…

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Q: Evaluate the following limit and show the complete solution

A: Given limit is in the form of 0/0

Q: 1. ſx² e*³ Sx² e**dx 2. cos'xsinxdx sin3xsin 2x dx 3.

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Q: The total world population is forecast to be P(t) = 0.00068t3 - 0.072t2 + 0.99t + 6.04 (0 s t s 10)…

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Q: (20,400) on the function y = x². Find the ratio Ay/Ax for Suppose that we choose the point P = each…

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Q: V3 a. Determine whether the Mean Value Theorem applies to the function f(x) = sin 'x on the interval…

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Q: In x dx .2

A: We need to solve the integral.

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A: Given that the area of a circle increases at a rate of 6 cm2/s .

Q: What is the integral of x" cos ax dx ? хN sin ax А. -=S nx"-1 sin ax dx + а а хN sin ax B. n -"Sxn-1…

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Q: The entire graph of the function f is given below. Use the given graph of f to find the following.…

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Q: Find the Solution (1+12) ds + 2t[st² – 3(1+12) 2]dt = 0; when t = 0, s = 2. %3D

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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…

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Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 --->1dtdx=12t-4…

Q: Find the solution of the differential equation that satisfies the given initial condition. dP 4V Pt,…

A: Solution of question is written in below steps.

Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

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Q: Determine whether the sequences converge or converges, find the limit. diverge. If any of them a. 2…

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Q: Find the following limit. x + 2 lim x→-8- x + 8

A: Given that a limit problem and we solve this problem by using general property of limit.       Here…

Q: (d) 2. +2 = 0 (e) In enz – 1ln r - 4 = In 3 |

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Q: Let f(x) 2x + 9x? – 108x 5. Calculate the derivative f'(x) = Calculate the second derivative f''(x)…

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Q: 2ydx = 3xdy

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Q: 3. Find the extreme values of the function y = x3 – 2x + 4 and where they occur 2

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Q: Given the differential equation and its initial conditions y" + 7y' + 12y = 8 with y(0) = -2 and…

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Q: Write the equation for a sphere centered at the point ( – 1, 7, 6) and the point ( – 7, 7, – 5) is…

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Q: cos x dx

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Q: Follow the format of solution of the picture below and show checking.  348610 B2 B8 B16

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Q: 5. Jxе2x dx

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Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .