Obtain the nth term of the pover series of In(1+x) for the power n= 5 and for a value of x = 0.80

Q: 22. Find expressions for f(g(x)) and g(f(x)), and state their domains a) f(x)=√√√x;g(x)=x²-4 f(g(x))…

A: Solution :- The domain of a function is the set of input or argument values for which the function…

Q: 5. Find the total length of the curve r-4 (1-sin e) from 0-90° to 0-270° and also the total…

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Q: Mrs Devi gave some money to her three children, Muthu, r Gul. Krishna's share was 3 of Muthu's…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

A: Sol For Cash Flow at period 0=C0, rate of return = r and number of periods = n, the Future Value…

Q: np 100 n=11 converge. 2+n² Find the values of p such that the series - Find the radius of…

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Q: The four-digit number has a digit sum of 20. The sum of its last two digits is equal to its second…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: of the line passing through the point A(7, 1, -2) and perpendicular to the plane with equation 2x -…

A: Determine the Cartesian equation of each of the following planes:   a. through the point P(0, 1,…

Q: Let r, n EN and l = min{r, n}. Then, nr =C(n, k)k!S(r, k). k=1

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Q: If x-11 A = [_x²+3 *7¹] is a symmetric matrix, find the value of x.

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Q: em s-1 = s5 + 5s4 + s³ - s² + 4s +3 BIBO stable or not using Routh c

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Q: What are the 3 sides of a right triangle called?

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

Q: Solve the given initial value problem. y"-10y' +25y = 0; The solution is y(t) = y(0)=-3, y'(0) = -…

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Q: 20. Prove the following identity. Use proper form. sin (-x) cosx= sin2x_1 3.1 cot (-x)

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Q: 3. a. Determine the vector, parametric, and symmetric equations of the line passing through points…

A: The vector, parametric, and symmetric equations of the required lines are determined as shown below.…

Q: 8. Express the given function using unit step functions and compute its Laplace transform y sin t N…

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Q: 33. Find the surface area of the portion of the curve x²+y²4 from x₁=0 to x-2 when it is revolved…

A: The surface area of a sphere: A is calculated using the formula: A=4πr2, where r is the radius of…

Q: Q1/ Grades in statistics class are weighted as follows: Tests are worth 50% of grade, homework is…

A: Follow the steps.

Q: 10 - The value of x²J₁(x) x³ J(x) dx is. x-0 a) 8 (2) b) 81₁(2) c) 8/₂ (2) d. 8], (2)

A: Given integral is ∫x=02x3J0xdx We know that, ∫xmJ0xdx=xmJ1x+m-1xm-1J0x-m-12∫xm-2J0xdx The given…

Q: Q2: Expand f(x) in a sine-cosine Fourier series TT 20, f(x) = { -<x< '4' π ¹4, 1<x<T. 4

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Q: Consider the following two parametric curves in R³: for 0 ¯¯\ND OXO OXO OXO OXÍ These curves…

A: First we will find the intersection point of both server then we will find the equation of potential…

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Q: Prove the limit below exists, by using the Binomial Theorem and the Monotone converge only. No…

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Q: Suppose (2)= 1, and suppose f and g are positive measurable Prove that functions on such that fg ≥…

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Q: 2. For each of the following statements, determine if they are true or false. In either situation,…

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Q: The following LP formulation represents a transportation problem where raw material (in tons) is…

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Q: State why the function 22²-37 +ě is analytic everywhere

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Q: A thin plate with uniform density is placed in the region bounded by the circle x² + y² = 25 in the…

A: To find : Center of mass of the plate with uniform density of the region bounded by the circle…

Q: Use L'Hospital to determine the following limit. Use exact values. lim (1 + sin 62) = z→0

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: method and Gauss-Seidel method to sol Tol = 1 × 10-4. Show the detailed calcul 1 -X1 + 1/2 X 2 + —…

A: There are three iteration given. Gauss Seidel method can be used.

Q: A) Write the formal (integral) solution to the following SDE dVt =dWt dXt =Vtdt B) Calculate the…

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Q: Evaluate (+1)(-2) dz where c is iz-11=2

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Q: How many c Find the amp 13. y

A: The sine and cosine functions are referred to as sinusoidal functions. It is because of their…

Q: the number of combinations of 10 distinct objects taken six at a time = the number of combinations…

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Q: Let ß=4 [³][3] and and = are bases for R² -3 a. Find the change-of-coordinates matrix from top. 3 b.…

A: We can write the matrix form of the basis β as A=-34-10 and the matrix form of the basis ξ is…

Q: Solve the following system: - x' (t) = -x₁ (t) + 2x2 (t) + 2x3 (t) — 2 x' (t) = 2x₁ (t) + 2x2 (t) +…

A: We solve by using eigenvalues and eigenvectors.

Q: x3+y3 x+y If u = = In ди X ?x In ( ди + у ду then find the value of ?

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Q: Are the triangles similar? If similar, state the theorem that proves they are similar. If not…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: The given problem is to find the first derivative of the given function at x=0 with given h value by…

Q: 03, 2020,

A: a. A sample will be the subset of population and population i the entire set under study.

Q: in tarih (2x) dx S

A: The given problem is to evaluate the given definite integral of tanh-1(2x). We can solve it by using…

Q: Q. Let G be a connected graph. What is the relationship between bond of G and minimum edge cut of…

A: A bond with one edge

Q: • prove that y` = = for y= (of (1+x)) 1+x²

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Q: 0. The curve has an equation of x² + y² = 25. Find the length of arc from x=3 to x = 4. A. 1.88 C.…

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Q: Find the coordinates of the point where the terminal side of each angle intersects the unit circle.…

A: In two dimensional Euclidean geometry, there are two different coordinate systems. These are the…

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Q: 5) x+1 x²(x+2)3

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Q: is a singer. uses vibrato technique i

A: Given as, p : Carl is a singer. q : Carl uses vibrato technique in his singing.

Q: Is the following piecewise defined function f(x) continuous at x = = 0, [cos(x), x≤0 f(x) = x²+x+1,…

A: The given function is: fx=cos x,       x≤0x2+x+1,  x&gt;0 Check whether the function is continuous…

Q: əz Find ( (). If (x, y, z)variables, and (2) a function in (x, y), and achieve the equation: 1 x-2 +…

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Q: ·(x² + y²)dx + (2xy + cos y) dy 2rud 2. 921

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