For the next three exercises, use series to evaluate the limit. arctan y - sin y y³ cos y 2 lim h-0 (sin h)/h - cos h h² 4 Determine a polynomial that will approximate 1 lim y-0 2 F(x) = a 2/3 arctant dt throughout the interval [0, 0.5] with an error of magnitude less than 10-³. 5 Use the "known Taylor series" (Table 10.1) to determine the sum of the series 27 37.7 3 23 25 33.3 35.5 "(771) lim (x + 1) sin 1-4X

Q: Solve: y'' - 4y' + 4y = xsinx

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Q: answer = Σ n=0

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Q: A. Using convolution to find L-¹ [(5+2)(5+4)]. B. Test the divergence of the following series 00 n

A: Note:- according to the company policy we can attempt only one question so please upload the next…

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is take derivative

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Q: Evaluate the expression under the given conditions. sin(20); sin(0) ==, in Quadrant II 0

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Q: Evaluate tan(2x + 5)dx 0.0190 0.9899 0.0976 -0.0190 0.0967 0.00190 0.0109 0.9998 -0.0976 -0.8999…

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Q: Let T be multiplication by the matrix A, find the rank and nullity of T. 1 1 3 A = 6 7 -4 58 rank…

A: We have to find the rank and nullity.

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos 0), a>0

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

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Q: equilibrium point, and (c) the producer surplus at the equilibrium point. 7 1 -x+ 27, S(x) = x+3 10…

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Q: The lateral area of a right circular cone of radius 4 cm is 100.53 sq. cm. Determine the slant…

A: Recall that the lateral area of a right circular cone having radius r andslant height is πrL.

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A: Here i have find the answer upto 4 decimal place.

Q: Solve the initial-value problem. dW dt e-4t, for t20 with W(0) = 6 The solution to the initial value…

A: The initial value problem,dWdt=e-4t, for t≥0 with W0=6

Q: The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity…

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Q: Find the general solution of the differential equation. dy dt 8 ,t20 The general solution is y=.

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Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

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Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

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A: Let's find intersect points.

Q: Jennifer's investment account balance grew from $400 to $432.76 in months. What annual rate of…

A: Topic = Algebra

Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature [ today] 27…

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Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

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Q: Find the curvature K of the plane curve at the given value of the parameter. (Give your answer…

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Q: Question 4 > 18/17-16-15-14-13-12-11 -18-9-8 -6 -5 -4 1-3 -2 -/ f(x) = 5 4 3 2 ma -2 in your The…

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Q: 36. Determine the exact simple interest on P 2,000 for the period from January 10 to October 28,…

A: The solution is given in the next step.

Q: dt u = xy + y z tzx x = tcost, y = tsint, z=t at t = a 4

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Q: 4. 4 1 SSx 20 x²ydxdy

A: Topic = Integration

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Q: Find the sum of the series: n=0 x7n-6 n!

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Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: Find the cross product x where = 71-7j -4k and 7 = (-4,-3, 4). úxv=

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Q: For the right triangle below, find the length of x. <-- 34°

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Q: Find ln(9.2) from ln(9.0) = 2.1972 and ln(9.5) = 2.2513 by linear interpolation and get the %error.

A: We need to find ln(9.2)

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Q: can you please write it clearly for better un

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Q: Find the area of a triangle PQR, where P = (6, 3, 5), Q = (0,4, -3), and R=(-6, -1, - 5)

A: As we know that; The expression for the area of the triangle PQR is: A=12PQ→×PR→   Given: P=6,-3,-5,…

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A: Solution is given below:

Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

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Q: Use R6 to determine the area under the curve for f(x) = (2-1) on [2,5].

A: Given that fx=1xx-1 To find : Area under curve of fx on 2,5Solution :

Q: Write an equation for a sphere centered at the point (4,7,2) with radius 5.

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Q: -1-y 3) Evaluate the integral dxdzdy?

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Q: Determine the area of the shaded region. 70. 15 4+ 3+ 2- 1 이 12x - x2 2 becodelating onesyde, −12 +…

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Q: Let C be the curve y = + for 0.6 3.7. x3 1 3x 4 12 11 10 9 8 7 6 5 1.5 25 3 Find the arc length of C…

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Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

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Q: Let f(x) = { 3x² + 2₁ 2x - 3, 3 be a piecewise function. Evaluate 5 if x < 3 if x ≥ 3 f(x)dx=

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