Book Problem 19 (a) Find the average value of f(x) = 25 - x² on the interval [0, 5]. Answer: (b) Find a value c in the interval [0, 5] such that f(c) is equal to the average value. Answer:

Q: Given point A (6,5,8) and plane p with the equation 3x + 2y + 5z = - 24.

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Q: d (19) dx [xy] dx

A: We have to find the integral.

Q: A/ By using Exact equation solve the first order differential equation 2y² + ye* + (4xy + x² + 2y)y…

A: Topic:- application of differential equations

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A: Concept: Linear inequality: The mathematical expression known as inequality is one in which the two…

Q: The probability distribution for the random variable, x, is x:2, 2.5,3.0,3.5,4.0 ,4.5 and P(x):0.07,…

A: Ans=(d) 0.57 For detail go through the solution I have solved step by step in detail

Q: Consider the following polynomial functions. Answer parts a through f below. f(x) = (x-7)(x-8)(x +9)…

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Q: 1. Prove the following limits xy lim (x,y)→(0,0) √x²+y² x³+y³ D) E) lim (x,y)→(0,0) F) x²+y² x² - y²…

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Q: 4. Evaluate y ds where C is the upper half of circle x² + y² = 9, traversed in the counterclockwise…

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

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

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

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Q: make

A: We have to find the following conditions according to the given information

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

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Q: 03/: Find the area over the region R that lies inside the cardioid r=1+ cose and outside the circle…

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Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

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Q: Find the particular solution of y²dx + x(x+y) dy=0., when x=1, y=1. Let x=vy

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Q: Divide as indicated x + 5 5 + 5x +25 6

A: Topic = Algebra

Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14

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: See this solution in details below

Q: (-5, 3) 6 T ? cy 7 O T 4 ? T (0, 0) Return this question to its initial state On the graph, make the…

A: This is a problem related to line equation. Please follow the procedure given below.

Q: The angle between 0° and 360° that is coterminal with the 1545° angle is degrees.

A: Ans = 105 degree  For detail go through the solution ...I have solved in detail

Q: f(x, y, z)= 1+ 2xy³+3y- Find the following: a) fz(x, y, z) b) f(1,1,1) c) fz(x, y, z) d) f.(1, 1, 1)

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: variable, x, is x:2, 0.36, 0.21, 0.19, 0.10, 0.07 Calculate P(x >= 3.0) a. 0.47 O O b. 0.83 019…

A: Topic:- probability

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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Q: Determine if the graph is a function. y=x²-4x-5 Using the vertical line test, is this the graph of a…

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Q: 3. dy + dx x² (y² + 3) y (x³+1) = 0.

A: Here we have to solve the differential equation.

Q: Electricity rates. The table to the right shows the electricity rates charged by Better Than…

A: The table shows electricity rates charged by better than lightning in the winter months. Winter…

Q: Q3: Solve the differential equation subjected to the condition y(e)=e² and give the result in…

A: Let's solve given differential equation.

Q: 20. What is the probability of an actually event? a. 0 O b. Insufficient data O C. 1 O d. Not…

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

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Q: Find the missing element in the sample space S = {x|x³x² - 17x - 15 = 0} where S = {-3,-1,__}.

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find volume generated by revolving R1 about line AB.

Q: Book Problem 15 Find the average value of the function f(x) = -3x³ on the closed interval [-1,3].…

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Q: Prove that sinh−1(x) = In( x+Vx2 +1)

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Q: 4 Find the roots of Z²+1=0 itt/2 Hint i = e 3

A: Given z4+1=0

Q: Find each of the following for f(x) = 4x² - 7x+ 5. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x) h

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find fogo h. f(x) = g(x) = x³, h(x) = x + 6

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Q: New Randomization Evaluate the function at the indicated values. (If an answer is undefined f(x) =…

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Q: Find the center and radius of the circle. x² + y² = 36 center (x, y) = radius

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Q: My question was for problem 3 finding the equation of the line that best fits that graph I got…

A: Note :- As pre your request i am solving problem 3 from the given images of question.

Q: Make a table of values for the equation. y = 9- |x| X -4 -2 2 4 у Sketch a graph of the equation.

A: To make a table of values for the equation. y=9-x   x y -4   -2   0   2   4   To…

Q: 6./07 - A room is 12 ft wide and 15 ft long. How many square meters (m²) is the floor in this room?…

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Q: 16. Describe in your own words the difference between a scalar and a vector. 17. Given the vector F…

A: Scalar quantity is the quantity in which we consider only magnitude and vector is the quantity in…

Q: How did dy dx Show solution pls. ty became d dx (xy)

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Q: 380- 370- 360- 350+ 340+ 1980 1985 1990 1995 2000 2005 ++ 2010 Video Example EXAMPLE 3 The linear…

A: The linear equation C=1.65429t-2938.07 models the average CO2, carbon dioxide, level measured in…

Q: Express the following functions in the form U+iv f(Z) = ln (1+z) ●

A: The given function is fz=ln1+z.We need to write it in the form u+iv.

Q: random variable, y, has a known probability distribution given by Y :2,4,6,8,10 and P 0.17,0.23, 0.2…

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Q: Use the matrices A and B given below to complete the following. Enter all answers in exact, reduced…

A: Concept: Multiplying a m×n matrix with n×p matrix results in the matrix m×p Here it is essential…

Q: Solve the homogenous diff equation of; y' = y sec x

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