Q2: Construct the difference table from the following data. x y 0 1 1 4 2 21 and then find y" (3.2), 3 88 4 265 y (0.1), 5 636 6 1309 -6 So y(x) dx

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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Q: What is the 2nd derivative of x9 cos x

A: To find out the second derivative of the function.

Q: 5. 4-3/x lim X→→++* 2+5/x 6. lim 811 2/x-1/x² +5/x³ 4-1/x³

A: We know that 1/infinity tends to 0

Q: Differentiate the function. 11 A(s) = - S

A: The given function is: As=-11s4   As we know that; The Power law: ddxxn=nxn-1 And c·f'=c·f', where c…

Q: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 H -6- (a) The…

A: To find out the solution of the inequalities given by the help of the graph.

Q: 15. 3n? 'n(n + 2) n-1

A: Solution: According to our guidelines we can answer only the first question and the rest can be…

Q: In Exercises 17 -28, determine whether the sequence con- verges or diverges. If convergent, give the…

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Solve the differential equation dy dx Give an implicit solution and use c as the constant. - y =…

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

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) t²-t-20 lim t-5 t-5 X

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Q: Given the following graph, determine the limit of the function as x approaches -2 does not exist 16…

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Q: Q.1.A: Find the domain and range of each function (choose only two) G(t)= F(t)=

A: Given function : F(t)=43-t and G(t)=2t2+6

Q: Problem 2.4: Find the G.S. of the 2nd-order DE Hint: You may like a substitution u = xy" + 3y' = 7x6…

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Q: y + 3y = 2xe-3x y-2xy = et²

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Q: lim g (y) where, g (y) = y² +5 3-3y lim g (y) y² +5 ify < -2 -9 lim g (y) 3-3y if y2-2 if y<-2 if…

A: Follow the procedure given below.

Q: Let f be the function given by f (x) = 2 cos x + 3e. What is the value of f' (0) ? B C -3 0 3 5

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Q: In Exercises 9-12, determine the nth term of the given se- quence. 9. 4, 7, 10, 13, 16, ... 3 10. 3,…

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Q: g(y) = -1.9% DNE y²+5 if y<-2 (1-3y if y≥-2√ (a) lim g (y) 1-3y if y≥2-2, y-6 -17 (b) lim_g(y) lim g…

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Q: 25. Στη n=1

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Q: Sketch a graph of the function f(x) = 6 5 4 32 3 2 1 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 3 sin 1…

A: Topic = Graph

Q: Problem 2: (a) De Moivre's theorem says that (cose + i sine) = cos(ne)+ i sin(ne). Recalling the…

A: Solution

Q: Q4 The path of a particle in the xy-plane can be modelled by the parametric equations .x=2+ cost and…

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. -4t -4 tan²(x) dx

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Q: Q3/Use the Simpson's and trapezoidal rules with n=8 to estimate (+)dx and determine which rule is…

A: ∫04x1+exdx We know that simpson's 3/8 rule ∫abf(x)dx=38hy0+yn+3y1+y2+y4+y5....+2(y3+y6+...)

Q: x-x

A: we will  show the required limit.

Q: Convert r = tan20 to cartesian.

A: Given; r=tan(2 theta).

Q: 3. Show √4+2√3 - √3, √6 + 4√2 – √2 are rational numbers.

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

Q: Q2/Solve = (xy + 2) with boundary condition y = 0 for x = 0 by using Euler dy dx method (8 steps).…

A: We need to apply Euler method.

Q: Question Find parametric equations of the line tangent to the curve r(t) = (-3e²t, 2e¯t, —-7t²).…

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Q: Determine the work done by the constant force. The locomotive of a freight train pulls its cars with…

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Q: In Exercises 7-14, a series an is given. (a) Give the first 5 partial sums of the series. (b) Give a…

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Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -8, and g'(5) = 2. Find the following values. (a) (fg)'(5)…

A: For a pair of function f,g we have the following.(i) fg'=f'g+gf'(ii) fg'=gf'-g'fg2

Q: Evaluate the multiple integral [ So (1/4) y dy dr *cos(x/4) sin(x/4) Enter the numerical value…

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Q: (5) Find a formula for arc length of y = 3t - 2 from t = 0 tot = x.

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Finding y'(x)

Q: .) y = 4x ³-2x+1 .) 9 8 = X 3.) √√x+2 X 2x+1 X+ 2 = 4

A: We have to find the whether the given is a rational function , a rational equation ,a rational…

Q: Simplify the following: 57 +27 i 57-27 37 +27 LO Te 1² (47 −25) + 3(7 + 7)

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Q: A cold drink is poured out at 55°F. After 2 minutes of sitting in a 60°F room, its temperature has…

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Q: dx = √ (+2²+5) ² 12 =

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Q: Suppose the binomial expansion of (5x + 2y)" includes the term 175000x¹y³. The y term in the…

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Q: Determine the numerical value of F (2, 3, -1) given the function F(x, y, z) = 2x²y − xz² + 3y²z. X

A: We can find the numerical value by taking partial derivative of the function with respect to 'x'…

Q: 388.636 x 10^19 simplify it according to rules of exponents; for example, use 2^2 not

A: follow the procedure given below.

Q: Evaluate the multiple integral 2x ³S²S² y + x dz dy dx

A: First, integrate with respect to z, with respect to y, and then with respect to x

Q: 4. The graph of f(x) = 4x² + 3x-5 is transformed into the graph of g(x) = -f(-x). The equation…

A: Given query is to find the equation in of g(x).

Q: Evaluate: * 1 2 گھر z² dz z²+3z +2 -блі 3лi inside the circle |z| = 4 4 3 -6 πὶ

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Q: What is the closed form for the sequence (bn) that has the first four terms -16,64,-256,1024

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Q: The expression provided is called the quotient rule True False f(a+h)-f(a) h ,h #0

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Q: Let f(x) = 5x² - 15x. (a) Simplify f(5+h)-f(5) h Algebraically simplify your answer until you have…

A: Let fx=5x2-15xa To simplify f5+h-f5h.b To evaluate limh→0 f5+h-f5h.c To determine the equation of…

Q: Show algebraically that lim 818 2 x² - 2 - x = 0.

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Q: 22. n=0 1 5″

A: