Use either integration by substitution or integration by parts as needed to evaluate x²+1 x'+3x+5 A given that A=1 and B=6

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Q: 4e3t -2e-2t 5e If A(t) = %3D -5e3t dA find 4e-21 -4e' 7e3t dt -be-2t 5e ? ? ? ? ? ? ? ? ? II

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Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to r + y…

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Q: 5.1 Explain why there is a # next to the first value of R43,96. 5.2 Why is the total number of items…

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Q: A stone is thrown vertically into the air from a tower 30 m high with initial velocity 15 m/s.…

A: We have to find the total hight and total time  to throwing  stone come back to ground.

Q: B Let r and y. be any two sequences of real numbers. Prove: If the surm rn+un converges and if the…

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Q: 1-12 For each of the following power series, find the interval of convergence and radius of conver-…

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Q: 8. (y-2x)dx-x(1- xy)dy 0 Ans.

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Q: Given that dy =0 dx when x=1 for the curve y=x³+3x2 – 9x +6 d²y and hence find which of the…

A: y=x3+3x2-9x+6 we have to find out d2ydx2 at x=1

Q: Consider the following function: -x – 2, -2 8. (2k – 1)2 (2k – 1)4 96 - k=1

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Q: Evaluate the surface integral ff, F · dS for the given vector field F and the oriented surface S. In…

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Q: Using Sandwich Theorem, the sequence 2 1. an = 4 sin? 3 %3D n + 1 converges to 0 converges to 2…

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Q: Solving by variation of parametersy" + 2y'+ y = e*, we find that: u_1=[-(2x-1)/4] e^2x and…

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Q: e following telescoping series 1 sin-1 1 sin-1 n + 1 n + 2,

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Q: Employees at Sherman Inc. were given a survey about their current habits. One of the questions asks…

A: When the sample population becomes large, the result will become more accurate. So option C is…

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Q: Use the following methods to solve for the root of the equation f (x) = xe-* sin?x |

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: Solve the system of differential equations 29х — 50y 15х — 26у x(0) = – 13, y(0) = – 8 The lesser of…

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Q: 2. In the terminology, a function f(x) is even when its graph is symmetric with respect to the…

A: Even function: The function is said to be even function if f(-x)=f(x) Odd function: The function is…

Q: Let n be a positive integer and f(n) = -53n109 n51 + 53. %3D Then f (n) is

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Q: ined the genral solution 8) (D + D,)u = 0

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Q: A family of sampling methods where the results obtained from the sample can be projected onto the…

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Q: Using the method of undetermined coefficients, the form of y, of the differential equation: y4) -…

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Q: Two babies are born and their parents are planning to save for their education. The Smith Family…

A: Using the properties of the logarithmic functions, it can be written that: ln ab=blna. Using the…

Q: By rewriting the summation of the power series E (n- 1)C,x" + E, 2nC,x"-1 +E C, xn+1 = 0, we obtain:…

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Q: + 3x2 + s1 =90 if x p and s1 are 5x1 2x1

A: Solution:-

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Q: 1 dx 9-81x2 +C %3D

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Q: 6. Let 15 2 8 B= |-3 4 1 L4 -4 5. e) Find odj a Compute det (B) E Show that the B (Adj B) = (odj 8)…

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Q: Compute the work done by the force along the curve (use defini- tion): 1 F = [3r – y + y] curve is…

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Q: Solve the system of differential equations x' = 16x + 36y y' = – 6x – 14y

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Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Here we will use total derivative  If z is a function of x,y,z i.e. z=f(x,y,z) then…

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two o its sides so…

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Q: For the differential equation (x2 – 4)y" + (x- 2)y' + 2y = 0, the singular points are: O None of…

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Q: For the differential equation (x2 – 4)y" + (x – 2)y' + 2y = 0, a regular singular point is: x=2 O…

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Q: [1 0 1 1 -1 Lo 1 0 -1 1 -1 3. Given A = 1 a) Find A-1. b) Write the corresponding elementary matrix…

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Q: The following series 3 2n+1] (-1)" 4n 3n n=1

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Q: Find a generating curve on the xz-plane for the surface of revolution with equation x²+ y²+ z²= e2x

A: Solution: Given equation is x^2+y^2+z^2=e^(2x)

Q: 8. Solve the system of equations (solve for x and y algebraically). Use another sheet of paper if…

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Q: 2.1.4 The scale of the map is 1: 1,000. Using the scale, calculate the actual distance, in…

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Q: 1. True or False a) If A is an mxn matrix, such that Ax=0 for every vector x in R, then A is the mxn…

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Q: Determine all of the equilibrium solutions of the autonomous differential equation dy = 2 (y- 8) (y…

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Q: For each of the following, solve the equation by determining ALL the values that will make the…

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Q: y" + 12y" + 36y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -7. %3D

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Q: Solve the following differential cquations 1. x + x*y -sec(xy) Ans. sin x = 2x2 +C x +y Ans. y- tan…

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Q: 1. How many different car license plates can be made if each plate contains a sequence of three…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: G is a set of all rational numbers except- 1 and is defined by a*b = a + b + ab for all a, be G. In…

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Q: 1. Solve the given equation using Simpson 1/3 rule and Simpson -2x+4 1/3 rule composite solution…

A: It is a Numerical Analysis problem. Let us use composite Simpson's 1/3 Rule to find the solution of…

Q: I. Consider the function g defined by 1 g(1, y) = cos (7x/) + log3(r – y) Do as indicated. 1.…

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