Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x = 3 using step size h = 0.01 in 8 decimal places.

Q: Set up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: 30 P= √I droppings" can be modeled by,

A: Given the demand model : p=30x The cost - model is : C=2.1x-142 where x is in tons. We need to find…

Q: y" + 4y' + 5y = 50t, y(0) = 5, y'(0) = −5 -5

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Q: Show that the function f(x) = x²(x + 1)² on (-∞0; +∞0) has an absolute maximum, and (ii) find that…

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Q: 11. Find the measure of the angle between u = (-2,-2, 1) and v= (-3, 4, 0) to the nearest tenth of a…

A: Q.11 asked and answered.

Q: Sixteen people on a baseball team show up for a game. A.) How many ways are there to choose 10…

A: First we will know that , what is Combination and Permutation. A Combination is Selection of items…

Q: prove that for any fixed x > 0. Fix a constant r>1. Using the Mean Value Theorem era > 1+rx

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Q: 2.Evaluate the following integral: √3x² cosxdx (d) single application of Simpson's 3/8 rule.

A: Here we can take N=6 ,that is number of interval =6. Then we can use Simpson's 3/8 rule to find…

Q: f(x) = = x, over the interval - 1)=-4 [002-2008 22 +cos 3.- cos 42+...] f(x) 2 [sin zsin 2 J II sin…

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Q: 23. You deposit $1000 in an account with 5% annual compound interest. Complete the following,…

A: Solution

Q: An equiangular triangle in the hyper- bolic plane with interior angle of has an area of 7.

A: True....I attach the explanation...I hope it will help you...

Q: . Find which of the following graphs are bipartite. Redraw the bipartite graphs so that their…

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Q: 115 155 3 60 100 125 4 55 110

A: It is instructed to take year one as the base year. The value of q0 for three products are: For…

Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: f(t) = (C + 1)te Bt sin At

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Q: Use trapezoidal rule to approximate the integral f√3+2x³dx; n = 6 O 11.50676706 O 11.20676706 O…

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Q: Given the functions: f(x)=x²-5 g(x)=x-2 h(x)= 2x² - 6x+5 x-2 Algebraically, determine k(x) = x) = (…

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Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + t²)/+ y =…

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Q: Determine the constants a, p, yo and y'o so that 3S +3 Y(s) = (s + 2)² is the Laplace transform of…

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Q: Determine the Fourier series of a 2 π periodic even function!

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Q: I. Evaluate the following limits: sinh(x2−x2) 1. lim x→0 sinh(x−x) 2. lim (x - ln x)* x+0+

A: The given problem is to evaluate the given limits of the given functions by checking the left hand…

Q: Use double integral to find the volume of the solid under the paraboloid z = x² + y² and above the…

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Q: Find the solution of the given initial value problem in explicit form. 75 ㅠ sin (2x) dx + cos(7y) dy…

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Q: Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3) such…

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Q: What is the volume in cubic units of the solid formed when the region bounded by x = y - y^2 and x =…

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Q: 4. Let A = {1,2,3,4). Find a non-empty relation on set A such that the given MI conditions are met,…

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Q: 1. Round 12.083 to the nearest tenth. 2. Round 1.98 to the nearest tenth. 3. Round 0.8693 to the…

A: 19. 53 to decimal is 53.0   20. 0.125 to fraction  0.125=125110008=18 therefore 0.125 to fraction is…

Q: What is the accumulated sum of the following stream of payments? $2,251 every year at the end of the…

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Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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Q: earned $6,500 this summer and plans to invest her money for 10 years, and she has two options to…

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Q: 13. Which of the following is a subgroup of (R+, *) where a*b = (ab)/2? (Q, *) A. B. (Z, *) C. (Q+,…

A: Given that                    ℝ+, * is a group             where…

Q: 2. Find the general solution of d²y dy +5 dx² dx -6y= = : 0

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Q: = xe²* is a solution to y' + ay — e²x = 0... 3. Find the constant a so that (x) = xe² 04 3 O 1 O -1…

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Q: What is the center of gravity of the solid formed when the plane region bounded by y^2 = 4x in the…

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Q: 11. Which of the following is a subsemigroup of (Q,*) where a*b = ab/5? A. (Z, *) C. (Q+, *) B. (Z+,…

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Q: π od T = ¹. Ans: V a

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Q: Determine which of the following functions are locally Lipschitz, globally Lipschitz, or not…

A: Here we need to find wether given function is locally, globally lipschitz or not.

Q: L{tcost + sint} 2s a. (s²+1) 2s b. (s²+1)² 25² C. (s²+1)² 25² d. (s²+1)

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Q: 9. Draw two simple connected undirected graphs, each with six nodes, with every node of degree 3,…

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Q: Find the Laplace transform of B S 722 3M 26 20 f(t) = (3+1)te ³t sin 6t 3t ww Zita C in

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Q: would you solve this?

A: Given,       f(x)=x2-x-20, and g(x)=x2-8x+15

Q: A researcher is interested in studying the connection between the time spent using electronics and…

A: b.) a group of 500 respondents from the ages of 13-19 who live in the state of New York

Q: The distance x, measured in metres, of a downhill skier from a fixed point is measured at intervals…

A: Solution

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

A: This is a problem of the volume of rotation.

Q: 5. The estimated cost per sq.m. of fully furnished house construction in a given site is governed by…

A: For a differential equation of the form: y'=fx, y, Euler's method uses the formula:…

Q: What is the center of gravity of the solid formed when the plane region bounded by 2x + y -2= 0, y =…

A: Solution: Given plane is bounded by equations, 2x+y-2=0 Its equation of straight line with x, y…

Q: Find the solution of x = X₂ JED -6 where u(t) = 2 and x(0) = [1 -1]. 11 0 JUCE + u(t) (10)

A: The problem is solved using the concept of eigen value and eigen vector.

Q: Determine the Fourier Series of S x, x, 0<x<T |f(x) = { T<x< 2π, and has period 27 ! f(x) = [₁ cos…

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Q: y" + 6y' + 8y = e-³t - e-5t, y(0) = 0, y'(0) = 0 a. (e³t-1)²e-5t 3t 3 b. (et - 1)³e5t c. (et -…

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Q: Find the Taylor or Maclaurin series of the given function with the given point as nter and determine…

A: Taylor series expansion