Consider the following. See Examples 1, 2, 3, 4, and 5. x²-4 x+2 f(x) = X = y 10 * X 5 10 -10 -5 -10 5 Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

Q: 1. The figure below shows the graph of f', the derivative of the function f, on the closed interval…

A: Given

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Q: for the following P.d.f of x, find the p(x<1) and p(x|<1) ,F(x)=x²/18 if -3<x<3 and 0 in other place…

A: In this question, we need to find p(x&lt;1) and p(|x|&lt;1).

Q: Topic: Differential Equations Please find the general solution of y'=cos2xcosy  Required: Complete…

A: I have stated the used formulas in the solution.

Q: and the general solution of the following equations: f y'+(4/x)y=x* ---by linear method

A: Topic: application of integration and differential equations

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

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A: The energy expenditure (in kcal/km) for animals swimming at the surface of the water is given by…

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Q: Find the solution of the given initial value problem. ty' + 4y = t²t+7, y(1) = 8, t > 0 y =

A: This differential equation can be solved as follows:

Q: (x² − 5)· 4x³ − (x¹ − 4)· 2x (x²-5)² f'(x) = Find f'(2).

A: We wil find the required.

Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Solution is given below:

Q: 5. lim -00 2-1 5

A: limx→-∞x2-x45

Q: Let ˜(x)=3e³x (10−6x)+e³* (−6) Find the value of x that makes f(x) = 0 Pick test values and plug in…

A: Topic:- function

Q: 15. Let 2 √x 4 3/2 y' = 2y + 2xy' 13/2 Solve for y' when x = 1 and y = 4

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 and y=4

Q: (b) Evaluate the integral J x + 3 (4-5x2) 3 dx.

A:

Q: 15. The base of a solid is the circle x² + y² = 9. Cross sections of the solid perpendicular to the…

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Q: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: See this solution in below.

Q: AT&T X nput 7:55 PM 26% O < -4 < left bracketing bar2x + 2right brack

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Q: 14. f(x)= a. b. C. d. lim 2--1+ f(x)= lim lim lim 3(x-3)²(x+4) lim f(x) = f(x) =

A: see below the answer and explanation

Q: Solve the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system has…

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Q: Find the limits in a), b), and c) below for the function f(x) = OA. lim f(x) = x→8 4x X-8 a) Select…

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Q: The random variables A and B have variances Let T= 5A-2B. The 0.3 and 0.4 respectively. variance of…

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Q: Find the domain of the function. f(x) = (6cosx)/(1 - sinx)

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Q: Q4. Choose two of the following: (a). If x = t - t² and y = t-t³. Find 2 by using Chain Rule. dx²…

A: a) x=t-t2 and y=t-t3 b) fx=1+x at x=3 c) fx=2a+x2,x≥12x+b,x&lt;1 is continuous at x=1and f-1=5 Use…

Q: i need the answer quickly

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Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23,…

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Q: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check…

A: Topic = Functions Correct option = neither

Q: The locations of three receiving stations and the distances to the epicenter of an earthquake are…

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Q: The toll T charged for driving on a certain stretch of a toll road is $4 except during rush hours…

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Q: Find the points on the curve where the tangent is horizontal or vertical. (Enter your answers as a…

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Q: lim sec O 0→→→I+ 2

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Q: A certain drug is being administered intravenously to a hospital patient mg Fluid containing 3 of…

A: A certain drug is being administered intravenously to a hospital patient. Fluid containg 3 mgcm3 of…

Q: Which of the following satisfies the statement f(x) is O(g(x)) when x5log(x+1) f(x) = +16x²? -5x3…

A: Given data:- fx=x5logx+1-5x3-2x33+16x2

Q: Question Find the area bounded by y + y³ = x and y = . Submit your answer in fractional form.…

A:

Q: You will be scheduled to work 40 hours during the first week of summer. You can choose the method of…

A: To get the required answer we need to calculate the total payment in each choice.

Q: Officials in State A tend to raise the sales tax in years in which the state faces a budget deficit…

A: This is a problem related to limit of the step function. Please follow the procedure given below.

Q: Simplify and represent the following complex number in the polar coordinates. 1+j 2-j

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Q: Book Problem 63 The velocity of a car was read from its speedometer at 10-second intervals and…

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Q: 4* Find the perimeter of a sector of a circle with central angle = 3 16 b) 0 (4+1) O c) 08 ft d) 0…

A: Given :Radius r= 4 ftCentral angle θ = 4π3

Q: Prove that lim x → 0+ (√x [1 + sin2( 2π/x )]) = 0 (using the squeeze theorem)

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Q: 2. Allen's small business has hourly costs (in dollars) of C(x) = x² +5, for x ≥ 0, where x is the…

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Q: Calculus 1. Consider the function f(x) = -5+7²-1. (a) Find the derivative f'(x) and hence the…

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Q: 3. Find all values of m so that the function y = tm is a solution of the equation 3t²y" +11ty' − 3y…

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Q: Consider the following. X-4 f(x) x + 5x - 36 Describe the interval(s) on which the function is…

A: Let's solve continuity and discontinuities of given function.

Q: 3. Find the derivatives of the following in two ways: -by evaluating the integral and…

A: This is a problem related to integration of the function. Please follow the procedure given below.

Q: 1. Simplify: 3x x + 2 a) ÷ 6x² x2 4 b) (y - 3+√2 )(y+3+√2)

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: Given graph:-

Q: lete the table below. 5.9 x→b 5.99 5.999 6.001 6.01 6.1

A: Topic:- application of calculus

Q: Find a2 and a3 for geometric sequence 8, a2, a3, 27

A: