dy Q1: Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y cosh-¹ sin 2x -1 3- y = asinh x

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

A: As we know the standard form of first order linear differential equation. dydx+Py=Q Where P and Q is…

Q: Grades - MAC231 X 2311 Section 3.3 X MindTap - Cenga x E CalcChat | Calculo X Mathway | Calcul x b…

A: Topic:-  trigonometry ratios  and derivatives

Q: 10. 2z + 3 2+2 11. 2z - i iz + 2

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Q: H.w: Find LT-¹ of the following functions by using partial fraction method: 2- Find L-1 [s³ +S-1 Ls²…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: In how many different, distinguishable orders can the letters of the word algebra be arranged?

A: We have to find the number of ways in which the letters of the word algebra be arranged in…

Q: If lim f(z) = 2 and lim g(x) = 7, then lim[3ƒ(z) — 4g(x)] = -22 G- *-b Ⓒ True O False

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Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: A spherical ball of radius 3 cm was dropped into a conical vessel of depth 8cm and radius of base 6…

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Q: f' (æ) =Vx+, f(0)=2 f"(x) = 3x² 16x + 16, f'(0) = 1, ƒ(0)

A: Topic:- application of integration

Q: What is the mass in both (a) slugs and (b) kilograms of a 4390-lb car? Answers: (a) m = slugs (b) m…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: 5) The number of 3 - digit numbers with repeats, that are multiples of 5 and less than 600 that can…

A: Permutation is used

Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: 2. (y - x + xycot x) dx + xdy = 0

A: We have to solve the given differential equation.

Q: 4) Consider the following logarithmic equation: What is the solution to the equation? log4(x + 2) +…

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Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

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Q: Evaluate r5/6 -π/6 2 cos 0 fo² 0 r sin Ødr de.

A: We have to evaluate ∫-π65π6∫02 cos θr sin θ dr dθ.

Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

A: Solution is here

Q: y" + y = secx tanx

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Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

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Q: 5. Solve the differential equation. 2xy¹ = x² +2,_y(1)=−3 dy dx Write Answer In Simplest Form And…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2 the x- axis, and the y-axis is…

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Q: Find the radius of convergence, R, of the series. 00 (x-4)" n+1 n = 0 R = 1 Find the interval, I, of…

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Q: Rewrite the polar equation r = = 6 sin(0) as a Cartesian equation.

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Q: Question 5 What is the amount of work done on a spring when it is compressed from its natural length…

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Q: What integration technique can be used to integrate: A Integration Formulas B) Integration By Parts…

A: Given: sec2xdx

Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

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Q: Write the equation in standard form. x 2 + y 2 - 8x - 4y + 12 = 0 ( x - 4) 2 + ( y + 2) 2 = 8 ( x…

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Q: Find the consumer's surplus for the following demand function at the given point. 4) D(x) = (x -…

A: Finding consumers surplus

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: Solve the D.E XỲ+Y=- 1 y2

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Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: Q. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e-t at y(0)=1 and y (0)=2

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Q: 15. Find the inverse of matrix A. A = 38 26

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Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: Determine the angles made by the vector V-(-19)i + (-41) with the positive x- and y-axes. Write the…

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Q: Write z₁ and 2₂ in polar form. (Express in radians. Let 0 ≤ 0 < 2π.) Z₁ = √3+1, Z₂ = 1 + √√√3i Z1 =…

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Q: Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the…

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Q: dw Q11- express by using the chain rule: dt w = ln(x² + y² + z²) x = cost, y = sint, z = 4√t

A: We have to express dwdtby using the chain rule:

Q: 5. Given z = arctan (+), Find az/ay

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise fu…

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Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: Identify the conic section whose equation in standard form is x 2 + 2y 2 - 3x + 8y = 10. ellipse…

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Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: The value of arcsin O KIT X 4 KIO O KIM X 3 KIN 2 (9) is

A: here is given that sin-1(1/2) we now that sin-1(sin(π/6))

Q: √9-22 1. Sketch the region of integration first, then transform Finally, evaluate the resulting…

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Q: ضوع الشرب Please prove it Sin Cos +1 = 1 + sin Sin + Cos - 1 Cos ##

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