Find the final value of the system corresponding to

Q: Solve the following equations 2)3x+2 = 27 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7)

A: The solutions are given below:

Q: Integration of { 8t^7dt

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Q: Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and…

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Q: Find the centroid x of the plane region y=9-x^2 bounded by the positive x and y axes. O x = 3/4 O…

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Q: (b) [x² x²9x8 – 12x4 + 4 dx 2

A: We need to solve integral.

Q: 2X 4) y = C₁ + c₂e² c + C3 e-3x

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Q: Use the sum and/or difference rule(s) to find the derivative of the following functions: with…

A: We have to find derivative of given function.

Q: The volume generated by revolving about the y-axis the area bounded = 0 and y = 16. by the curve y =…

A: Volume is evaluated.

Q: What is the volume of the solid formed when the region bounded by the curve y =√16x², x = -3 and x -…

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Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: Show your step-by-step solution. Find all the relative extrema and saddle points, if any, of the…

A: To find out the relative extrema and saddle points.

Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…

A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…

Q: 2 1. f(x) = x² + 8x + 12 2 2. f(x) = x² + 25x 150 3. f(x) = x² + 18x130

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the indefinite integral du =

A: The solution of the integral is given below:

Q: If [ f(x) dx = 12. g(x) dx = -2 and L₁ dr following gives the value of [[1²)+ 4 76 Sh +4g(x)- h(x)…

A: Given:     ∫-36fxdx=12     ∫-36gxdx=-2     ∫-36hxdx=-7

Q: f(x+h)-f(x) h Use f'(x) = lim h-0 s(x) = 6x+7 to find the derivative at x for the given function.

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Q: Which of these series, if either, converges conditionally? 1. - (−1)k k=√k (-1)k II. Ÿ (- 1)*…

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Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √√x + 4 and x - 2y +…

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Q: 2x² + y² +3z² = 1 y² = 4x x² -z² = y 2z = x² +4y² 2x + y − z =1 z = 4y²-x² E

A: We have to match the graph with equation and write name of these shapes.

Q: Activity Predece A A A B Find Draw of network analysis A B C₂D | F GEF

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Q: Find dy dx In y = e sinx Ody dx dy dx O dy dx O dy da - = = 1 = ye" sin x ye" cos x 1- ye" cos x yey…

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Q: 1)y = (8 +7x³)

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

Q: Six 2 CSC ² 2x - x cos 2x) dx

A: We know, ∫cosmx dx= sinmx/m  ∫sinmx dx= -cosmx/m  ∫cotmx dx = ln|sinmx|/m  ∫csc²mx dx= -cotmx/m…

Q: f(x) = 4x5 (12x² + 15x + 3)

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Q: S dx (X+1) √X-3

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Q: State the order of the given ordinary differential equation. (1-x)y" - 9xy' + 6y = cos x 2 Determine…

A: We need to find order of D.E.

Q: a. [8t7dt dx b. S sin x tanx C. d. S [ 26* dx 3d8 √8

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Q: (2x-1) dx 1 2x²³²-x²-27x +36

A: …

Q: Differentiate the function with respect to the independent variable. 9 h(t) = -t²- +4 h' (t) =

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Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

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Q: 3d8 √93

A: Here we have to solve only part d

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x + 4 and x - 2y + 4…

A: Given problem:- Calculate the volume of solid of revolution when the region bounded by y = √(x + 4)…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (t+ At)² -4 (t+At)…

A: Follow next step

Q: Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. 4 -4 16 A =…

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Q: 2/2 2 sin³(x) dx

A: Here is the solution of the given problem.  To solve the problem we use the following formula:…

Q: 17. The general solution of the equation (x³ + 3xy²)dx + (3x²y+y³)dy = 0 is A. (x4 + 6x²y² + y4) = C…

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Q: s shown in the required reading or videos ove that the harmonic series below diverges ithout using…

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Q: Find the median of 65 70 65 62 64 73 67 60 50

A: Follow the procedure given below.

Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​…

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Q: 2x-x² dx

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Q: An object moving in a straight line travels s(t) kilometers in t hours, where s(t) = 8t² + t. (a)…

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Q: 13

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Q: . The region is bounded by X = y² and x = 4(y − 2)² Using horizontal rectangles, set – up the…

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Q: 1) e5ln x+4Lny-Ln z qua

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

Q: 15. Solve for x: 37x+1=6561. A. 1 B. 2 C. 3 D. 4 16. If 3a = 7b, then 3a²/7b² = A. 1 B. 3/7 C. 7/3…

A: 15. The value of x such that 37x+1 = 6561 16. The value of 3a27b2 such that 3a = 7b

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

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Q: What function do you know from calculus is such that its first derivative is itself? (Do not use the…

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Q: Question 3 A container with square base, vertical sides, and open top, is to be made from 3,000 ft²…

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Q: X5 x3 +4 +4 dx

A: WE can find the integration as below.

Q: H.W: show that the equations are homogeneous and solve: 20 2. x² dy + (y² - xy)dx = 0

A: