1 11. Use the alternate series test to determine if E=1(-1)"+1, converges or diverges.

Q: y =\nNX ), find y %3D メ43 find %3D (メ43) 8.

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: Evaluate the following expressions. 12 6. a. Σk b. Σ ( 3k+ 2 ) d Σ (2+) с. k= 1 k = 1 n = 1 8 4 5m…

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Q: 9. S sec³ x tan x dx

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Q: 1 dx

A: This question can be solved using the concept of definite integral.

Q: Given the curve y = x' and the line y = 2 – x. Find the moment of R with respect to the y-axis М of…

A: Given problem:- Given the curve y = x2 and the line y = 2-x. Find the moment of R with respect to…

Q: You are given the integral 64x2 - 81 dr. I = 6x In order to compute this integral, we may attack…

A: To find out the integration.

Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

Q: Solve the equation (x^4 + 2y)dx - xdy = 0

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

Q: by any method.

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Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is C(x, y) = 29,000 + 50x +…

A: To find the marginal cost.

Q: In this problem you will use variation of parameters to solve the nonhomogeneous equation t'y+…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Find the inverse of the function on the given domain. f(z) = (x – 14)2. [14, 0) f-1 (2) =

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Q: (26) Denote the second Fourier sine coefficient on the interval [-L, L] by L A2 = / f(x) sin -L Show…

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Q: This exercise refers to the hyperbolic paraboloid z = y - x?. (a) Find an equation of the hyperbolic…

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Q: dr J. (z+1)?

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Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: f (x) = arctan(x) Consider Using the given f (0.75) by making use of function at approximate the…

A: This is a problem related to series expansion. Based on the general formula and concept we will…

Q: Solve the integral using wallis formula.

A: This question is related to definite integration, we will solve it using given information.

Q: 4. cos 4x cos 2x dx

A: The integration of the integral is cos(4x)cos(2x).

Q: Consider the following limit of Riemann sums of a function f on [a,b]. Identify f and express the…

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Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

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Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -3, 0, 3, 5

A: General form a polynomial of degree n is P(x) = anxn+an-1xn-1+...+a1x+a0, an≠0  and the factored…

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: 9x2-42x+49 a. Simplify : 3x2-7x b. Solve the equations: i) 10 ii) 25x3 + 100x? – x – 4 = 0 ii) (х —…

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Q: pose g is a function which has continuous derivatives, and that g(5) = -3, g' (5) = 3, g"(5) = –1,…

A: We have to taylor polynomial of degree 2 and degree 3.

Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 7 \" 9n2 + 5 00 n =…

A: We have to find out the series convergence test

Q: 2. Evaluate f]x-1dx 1 O 2 O None of these

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Q: A company has the following production function for a certain product P(x, y) = 27 x0.3 y0.7 . Find…

A: Given: So,        Px=∂ ∂ x27x0.3y0.7Treat y as a constant     =27y0.7∂ ∂ xx0.3     =27y0.7·…

Q: Find polar coordinates to represent (-2, -2) with r >0 and 0 <0< 2T.

A: Cartesian to polar conversion (x,y)→(r,θ) where r=x2+y2 θ=tan-1yx

Q: 7. Find the intervals of concavity for the function and state the points of inflection. =x*-2x²+x-2…

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Q: | 13t – 41° + 4 dt = +C.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 9. -x² dx Choose the correct graph below. O A. O B.

A: Topic:- application of integration and geometry

Q: The solution of the differential equation below is dy Зу- + 4x = 0 dx

A: This is a problem of differential equation. Based on the general formula and concept of separation…

Q: Given r = e-, find the following. A Determine the derivative in terms of 0. Show each step and…

A: First we find dy/dx

Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

A: The system has NO SOLUTION. see below the explanation

Q: This equation is an example for linear equations dy y = x²e* %3D dx False True

A: We have to find if the given statement is true or not.

Q: ructure.com%2Fcalendar%23view name%3Dmont... r- Axis y Axis Find a different pair of polar…

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Q: Find the equation of the tangent line to the function f(x)= x^3-4x at the point where x=0. Do not…

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Q: Given G(x) = jin(2t+1)dt , find G '(x). O In(2x + 1) O In(2x + 1) - In3 O In(2t + 1) + C 2 2x+1

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Q: f(0) =| f'(0) f"(0) T | ||

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Q: farmer finds that if she plants 55 trees per acre, each tree will yield 35 bushels of fruit. She…

A: Given query is to find the number of trees to be planted per acre.

Q: a lim - o Consider the following series. * (-1)* * 1 (jerror 0, and then you need to verify the two…

A: Given: Here, bn+1=(-1)n+1+1n+17=1n+17. We are given the bound ε=0.00005. So, now we need to solve…

Q: stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

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Q: A wedding planner provides a Momento for each gas the Momento is a 1.5 ounce container of mints…

A: Unitary method: The unitary technique involves determining the value of a single unit and…

Q: A region in the xy- plane has a z-output given by the equation z = In(x?) + 2xy - e*y. Determine the…

A: the volume between the x-y plane and below the z-axis is given by V=∫x=∫y=∫z=dzdydx According to the…

Q: Where is each function continuous? (b) f(r) = sin-(1-r) %3D I+3 (c) f(r) In ) %3D (d) f(r)= 12+5r+ 6

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: Volume of the solid by rotating about x axis in the interval [a b] is given below: