Q3: Solve the differential equation subjected to the condition y(e)=e² and give the result in simplest expression. dy-In(y)-In(x)+ y X- dx

Q: 2. lim f(x) = | x-1 lim f(x) = 1 x1+ lim f(x) = | f(1) = |

A: 2.According to graph limx→1-fx=1limx→1+fx=1limx→1-fx=limx→1+fx=1there fore limx→1fx=1    limit exist…

Q: Find an equation of the plane passing through (0,-1,3) that is orthogonal to the planes 3x+4y-2z=0…

A: Let's find equation of the plane.

Q: Compute the surface integral over the given oriented surface: F = y²i + 6j − xk, normal F. ds =…

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Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: Find the integral. (Use C for the constant of integration.) 9 J 49x2 dx

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Q: Consider the function f(x)= x² X-3 -9 Which of the following is true about f(x)? O f(x) is…

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Q: Make a table of values for the equation. y = x² - 5 X -2 -1 0 1 2 у Sketch a graph of the equation.

A: The given equation y=x2-5 we have to sketch graph of the equation Note:    Multiple questions are…

Q: 2. Show that the function f(x) = xsinx has in infinite number of Critical Points by doing the…

A: The given function is : f(x)=xsinx Now finding the derivative f'(x) :

Q: For each statement,write true or false {0,2,6}={6,2,0} {2,3,4} =[2,4] {XER:0≤x≤6}= [0,6]…

A: We will  state whether the statement is true or false.

Q: The radian measure of an angle of 244 degrees is

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Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: The Z-transform of the following function f[k] = 2.2k + (-5)* - 33 (-4)* is so the constants A and B…

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Q: A. Write ✓ on the line if the given equation is a circle; otherwise write x. If the equation defines…

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Q: Which of the following equations is NOT a variable separable differential equation? A B (x² − yx²)…

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Q: 55 43 3+ kt 410 -8 -7 -6 -5 -4 -3 -2 -1 -14 -2 -3 2 3 4 5 6 7 8 9 10 the graph of y = f(x) is shown…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: Suppose that a volcano is erupting. Readings of the rate r(t) at which solid mate- rials are spewed…

A: Given data   t 0 1 2 3 4 5 6 r(t) 2 10 24 36 46 54 60

Q: D The graph of the function h is shown. 3 2.5 2 1.5 1 0.5 O -0.5 -1 -1.5 -25 -5 -4 The limit is…

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Q: Q3: What are the ways tha

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Q: For each scatter plot, decide what type of function you might choose as a model for the data. (a) ya…

A: Graphs

Q: Which of the following is guaranteed by the Intermediate Value Theorem, if f is a continuous…

A: Let's solve given problem by using intermediate value theorem.

Q: t Find the measure of the angle between the two rectors in both radians and degrees. R = 2 Vectors…

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Q: Evaluate the following integral. 6 x (x² + 5)² dx Find the partial fraction decomposition of the…

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Q: 1. You place $5 on Odd, $5 on Red, and $5 on Column 2 and the number 5 appears after the spin of the…

A: given data $5   on odd $5  on Red $5  on column 2   result 5 appear   result in our favour 5 is odd…

Q: The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

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Q: Find the roots of an equation f(x)= x^3-x-1 using four iterations of bisection method. Compute also…

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

Q: In problems 16-19, each limit represents the derivative of some function f at some number a. State f…

A: This question can be solved using the concept of derivative of a function y=f(x) at a given point…

Q: 15. E= {4, 9, 16,... } 16. F= {1, 2, 3, 4, 5, 6, 7, 8, 9} 17. G = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} 18.…

A: We can write the answers in the below steps.

Q: The number of pet dogs in the United States can be represented as  p(t) million where t is the…

A: Given 1. p0=65.2 2.There were 66.9 million pet dogs in the United States in 2009.

Q: Find the shortest distance between the (entire) line L1 passing through the points A(1, 1, 2) and…

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Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

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Q: Consider the differential equation (xy + 3x − y − 3) dx = (xy − 2x + 4y − 8) dy. By separation of…

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Q: Convert 1.2 in radians to degrees:

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Q: 9) ²-4r-91=7

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Q: Find the limit. Enter the exact answer. If the limit does not exist, enter NA. 5x2 – x – 4 lim x→1…

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Q: Consider 3 4+2³ (a) First, define this as a Mathematica expression and compute the third derivative.…

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Q: A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of the metal…

A: Given ,  A metal rod is placed in an oven and the temperature, T (measured in degrees celsius), of…

Q: Find the domain of the function. (Enter your answer using interval notation.) √x 8x² + 7x1 g(x)= =

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Q: Find the following limit. Answer as either an integer or a fraction. (No decimals.) Enter INF for…

A: The limit is given by limx→1x-1x2+7x-8 To evaluate: The value of the limit

Q: 3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges…

A: Let the length of base edges and vertical edge are x, y and z respectively such that dxdt = +2…

Q: 4. Verify that the solution of the DE d²x dt² + k²x = 0 is x = sin(kt).

A: To verify that the solution of the DE d2xdt2+k2x=0 is x=sinkt.

Q: On a dogleg golf hole, one golfer hits the ball 270 yards and then another 170 yards to reach the…

A: From the given details:

Q: A function is given below. Determine the average rate of change of the function between t = 2…

A: Given function, f(t)=7t   from t=2  to t=2+h

Q: Use the quadratic formula and a calculator to find all real solutions, correct to three decimals.…

A: Given :

Q: In each of Problems 1 through 8: Ga. Draw a direction field for the given differential equation. b.…

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Q: If the value of land in an area is increasing 6.4 percent a year, how long will it take for property…

A: This question can be solved using the concept of compounding.

Q: The Z-transform of the following function f[k] = 2.2k +$.(-5)* – ²³ (-4)* is so the constants A and…

A: z transform

Q: Evaluate the following relations for given values f(x) = 3x² - 2x (a) Find (b) Find f(x + 2) f(1 -…

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Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Find the x- and y-intercepts of the graph of the equation. y = x + 9 x-intercept y-intercept (x, y)…

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