Use calculus to find the open intervals on which the function f(x) = x+8√√/2 − x is increasing or decreasing. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: decreasing:

Q: QUESTION 1 Check all statements that are true. If p is a polynomial of degree n, and q is a…

A: Note:- As per your mentioned staement no. I am solving only statement 4th here.

Q: 2x² + 3 Find f'(x) given that f(x)= x² - 5x+2 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ -…

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

Q: need helping understanding this concept And why each statement is false or true QUESTION 1 Check all…

A: Note:- These are multiple questions and according to our company guideline we can do maximum 3…

Q: Find the solution of the given initial value problem in explicit 1 y' = (1 — 11x)y², y(0) = ——— 6…

A: We can solve the given differential equation by using the variable separable method.

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: Solve the given differential equation. All solutions should be found. dy 2xy + y² + 5 x² + 2xy dx…

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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\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

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Q: Find the derivative of each of the following functions using any method. 1.) f(x)= 6x^5 + 7x^4 - 6x³…

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

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Q: Tess tried to solve the differential equation = 2xy - 6x. This is her work: dy = 2xy - 6x dx dy Step…

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ 4x + 3xy² dx…

A: Explanation of the answer is as follows.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: b) Maximize the volume of this rectangular box. c) What are the dimensions & volume of this largest…

A: Solved below.

Q: 1 A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is…

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Q: 1. f(x¹ + x³)dx π

A: The objective is to find the integration.

Q: * The following function f(x) = x^4 sinx is odd O neither O O even

A: The given function fx=x4 sinx

Q: 1. g(x) = Sin 39 COS 32 5 ㅈ

A: The objective is to differentiate the equation.

Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

Q: for the volume below...if Cylindrical Shell method was used ...What are the limits of integration? *…

A: use cylindrical shell method   V= ∫ab2πrh dx   where r= radius of cylinder             h = height of…

Q: Use the graph below to answer the question below: 5 4 y = f(x) 1 2 Find lim f(z). Be sure to read…

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Q: A) Find the Laplace transform of (2 03

A: We have to solve given Questions.

Q: In this problem, y = c₂e + c₂e is a two-parameter family of solutions of the second-order DE y" - y…

A: To find solution.

Q: x 2) Discuss the continuity of the graph of f(x) given below on the closed interval [-4, 2] D(-4,6)…

A: This question is related to continuity of functions, we will solve it using given information.

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Q2) find the absolut maximum values and minimum value of the function f(x, y) = x² - 2xy + 4y on the…

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Q: f dx 3sinhx - 5 cosh x

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

Q: The exponential function given y H(t) = 80,031.49(1.0483)', where t is the number of years after…

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-z = -2

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Q: Q4\ Solve by Gaussian elimination x-4y-2z = 21 2x+y+2z = 3 3x+2y-2=-2

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

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Q: B)Convert 20= tan¹r to cartesian.

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Q: termine whether the function has a vertical asymptote or a removable discontinuity at x = -3. Graph…

A: Here is the solution:

Q: Find an implicit and an explicit solution of the given initial-value problem. (Use x for x(t).) dx =…

A: The given initial-value problem,dxdt=4x2+1, xπ4=1

Q: Show that the series n=0 xn cos(nx) x² +n³ + 1 defines a differentiable function g(x) for x in [-1,…

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Q: * Parallel lines have the slope (m1x m2 )= -1 true O O False

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Q: Solve by Gaussian elimination x-4y-2z = 21 24y + 2 = 3 3x+2y-z = -2

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Q: State the order of the given ordinary differential equation. (sin e)y"" - (cos e)y' = 3 Determine…

A: The order of a differential equation is the order of the highest derivative present in the given…

Q: (1+x)*dx X

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Q: Q6) Use Gauss- Jordan Elimination method to solve the following linear equations. 2X + 2Y = 2…

A: Solving the problem by finding the value of the problem.

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: f Cos 6 x dx 2 Cos ²3x

A: Solving the problem by finding the value of the problem.

Q: A particle is moving with velocity v(t) = t2-9t + 18 with distance, s measured in meters, left or…

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Q: 0 3x - 4x 5× dx

A: We have to solve given Questions.

Q: Q5) Find dw/dt at the given value foe the following functions 1) w = x² + y², x = cost, y = sint at…

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Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)-0 Find y(0.1)?

A: Please see the below picture for detailed solution.

Q: 2) Find the oneer bounded by x = 3y²-9, x = 0, y = 0, y = 1 a) 8 b) 6 c) 4 d) wone of the above

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Q: Solve the given differential equation. All solutions should be found. dy 3x² - 7y - y³ = dx 7x +…

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Q: Direction: Solve the following problem of bounded areas, marks for complete work out and mark for…

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