Find the inverse function of f(x) = √x −2+7. Specify the domain for f-¹(x) ƒ−¹(x) = (x − 7)² +2 - Domain of f-¹(x) using interval notation: [2,00)

Q: * Find dy/dx for the function_y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

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A: To evaluate the value of given double integration.

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Q: IF A [-3 6 -2 3 3 0-3 0 0 12] 06 3-6 -3 0 121 60-6 3 6 6] Option 5 6. Option 4 The Cofactor Matrix…

A: First we will understand  the term and then solve it.

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Q: Q4:A/ By using Linear equation solve the first order differential equation y' + sec(x) y = cos(x)

A: Given y'+sec(x).y=cos(x)To find solution Of LDE:

Q: 3 -21 3 -1 The Cofactor Matrix is :- -3 0 [-3 0 12] 606 6] 36 ن من من IF A [-3 0 12] 606 3-6 6…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 4) If y = 2√x - 2 tan-¹ √x, then y 1 -1 1+x²*

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Q: Q5) Solvex+2xy = 3 by using Euler's method to find he approximate solution up to X-2.9 when h = 0.5…

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Q: If f(x) is linear, g(x) is linear, and h(x) = f(x)/g(x) What is the maximum number of vertical…

A: Given: f(x) is linear function g(x) is linear function h(x) = f(x) g(x)    a linear function is of…

Q: Laplas Inv Q1/ Find -1 s² (s+1)(S-1)²

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Q: IF y = u² + 3u² & u = 2x Find d dx 8x(8x^2+3) (64x^3+30x) O 8x(8x^3+3) O 8x(8x^2-3) O

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Q: 1-9 13-9 X x-h 2 3 . sin (lnx²) sinx 2-9 It cosx .dx 4-9 cotx.dx хр

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Q: dx It see ax a) x + 1 (cot ax- csc ax) + c 6) x + 1 ( cot ax + μc ax) + c c) x + £ (cut ax + cac ax)…

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Q: Q4) find the soluation of differention equation using exact equation

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Q: Use the graph and the function to find the following. a) Find lim k(x). X→-1 b) Find k(-1). c) Is k…

A: We need to check the continuity of the given function in the shown graph.

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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

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Q: Q.3. If (4x + 5y + 7z = 14) is equation of a plane and (x = 2 + 2t, y = 1- 3t, z = 2 + t) is…

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Q: y=0 x=y ye dxdy=

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Q: Q3/: Find the area r=1- cose and over the region R that lies inside the cardioid outside the circle…

A: See this solution I below

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A: To find the maximum hight of the ball.

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Q: dy 2 +6y=3 dx y(x) = Give the largest interval I over which the general solution is defined. (Think…

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Q: Evaluate the limit. lim (x,y) → (-5, -20) y² - 4xy y - 4x

A: Solve the following

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Q: 4) A coin is dropped from a height of 960 feet. The height, s (measured in feet), at time, t…

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Q: Find the domain of the following vector-valued function. r(t) = sin 5ti + ²√² + ¹ k e

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Q: Consider the position function below. r(t) = (1-16,5-4t²) for t≥ 0 a. Find the velocity and the…

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Q: Find the velocity and position vectors of a particle that has the given acceleration and the given…

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

Q: Q1: Find the general solution of the following first order D.Es? (Answer two only) CELE MAI ) c)…

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Q: Find the average of two numbers (x1, x2) and print" pass "if the average is more than 50 and "not…

A: Given numbers : x1,x2  Average  of number = (x1+x2)/n                 where n=2

Q: Calculus I Consider the following tables

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Q: find the area of y=x and y=x(x-2)

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Q: Find the derivative of each of the following functions using any method. 7.) f(x) = 6cot(sin(4x))…

A: 7. fx=6cotsin4x8. fx=6sec7x29. fx=e6x2-17

Q: A large tank is filled to capacity with 600 gallons of pure water. Brine containing 2 pounds of salt…

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Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

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Q: state the order of the given ordinary differential equation. Determine whether the equation is…

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Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

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Q: 5|2 X 1 If f(x) = X A. f(x) is continuous at x = 2 B. f(x) is discontinuous at x = 2 C. lim f(x) = 1…

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Q: Find for THREE of the following functions: dy dx 1-y)+In(cos(x)) + √ 2-y=2(cos(x))

A: To find dydx:

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A: To find whether given differential equations are which one of the following in the given options.

Q: 1 Sz Find the indefinite integral S[=1714 14 X 17 0 dx = 3 X 14 X 14 X 1 3 dx.

A: Solution : Given that indefinite integral is

Q: Solve the differential equation (24xy +24y²) + (8x² +24xy)y' = 0 using the integrating factor u(x,…

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