7-10 Verify the given linea determine the values of x for accurate to within 0.1. 7. √√/1 + 2x 1 + x

Q: a) e b) e-t Q24) The Integrating factor which make (3x2y + 2xy + y³)dx + (x² + y²)dy = 0 exact, 15.…

A: A detailed solution is given below.

Q: (2x-1) dx 3 2x²-x²-27x +36 f

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Q: Consider the following initial-value problem. f'(x) = 8ex − 4x; f(0) : = 13 Integrate the function…

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Q: dx dx

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Q: if X(z) is the z-transform then what is the z-transform of x(n) of x(n- ?6)

A: In this question, we need to find the z transform of x(n-6).

Q: F(x) = Se* - e*-1 at x = 1 Determine the equation of a line tangent to the curve at x =1

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Q: 3 + 2x² √3+2 x2 O 2x 3 - +C X + + 2x + C x3 23³3³ +0 x³ + 2x + C O dx =

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Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

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Q: lim x→0 1 x + S x 6571- S Ans 50.

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

A: We need to set up integral to find centroid.

Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: 2a Please help me with my reviewer, provide the whole solution so that I can understand thank you

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Q: Q1) L-1 a) cosht -1 b) 1 - cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of y"" + 2y"…

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Q: Taika invested a total of $ (a+b+c+ 900) × 1,000 into three investment accounts, paying 3%,4%, and…

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Q: Find the arclength of the curve y = 3x² + 5 on [0,3].

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Q: 1. The rate of change and when 0,xo = 3 t= when =47 is proportional to When What is the value of t =…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: (2x-1) dx 3 2x²³ -x²-27x +36 f

A: We can evaluate the given integral by using the method of partial fraction.

Q: Consider the following. y = = In(x²) Find y'. y' = Find the slope m of the tangent line to the graph…

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Q: ∫0.00202003x^4/4-0.0185672x^3/3-0.0937054x^2/2+2.17676x+C

A: We have to solve it. But it's not clearly mentioned that, either We have to find integration or…

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: We have to find the series is convergent or not and find the sum also.

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

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Q: Find the derivative of the following exponential and trigonometric functions: please attach your…

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Q: solve the differential equation for initial value problem using the method of undetermined…

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Q: Find example where of is continuous and an - bijective but f¹ is not

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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: (Use symbolic notation and fractions where needed.) side of base: 6 height: 6 minimal surface area:…

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Q: Evaluate the integral. "π/4 J.T tan (0) sec²(0) de

A: This question can be solved using integration by substitution.

Q: X 2 1 a X 2 dx

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

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Q: x 5√x ³ + 4 dx 3 Lx5

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Q: 32 *The solution for the following differential equation is dy x-y dx x+y y² + 2xy - x² = c y² + xy…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Question 4 Find two numbers whose sum is "a", if the product of one by the cube of the other is to…

A: To find out two numbers.

Q: 3) Find the intervals where the function is increasing and where it is decreasing. f(x) = x² - 6x²…

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Q: 1. Show that z³+y³ lim (x, y) (0,0) 1² + y² does not exist.

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Q: 9) Ур H Asin(2t) + Bcos (2t) Q13) The general solution for y' a) = 3x² + c b) = y Q14) The solution…

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Q: (a) Solve the following: √4x² dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Find  f(t). ℒ−1{1/(s - 7)3}

A: The inverse laplace tranform L-11s-73

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: Given the following total revenue (TR) and total cost (TC) functions for a firm, TR = 5820Q + 40²…

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Q: Deriving the formula for volume generated by revolving the first- = quadrant area bounded by the…

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Q: Its tot as TR = 300q - 6q² and its total costs as TC = 4q². a) Determine the optimal quantity and…

A: Given

Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x+2Lne√ - 2Lne* QV² + 2²

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Q: f5(x³ + x)⁹ (3x² + 1)dx O 5(x³+x) ¹0+C 10 (x²³+x) ¹0 10 +C O 45(x³ + x) +C O(x³ + x)¹0+C

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Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

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Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: Given curve, y=5x from 0 to 4