Q: p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1<x< 1,Calculate the expected…
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Q: Determine whether the curve is the graph of a function of x. O Yes, it is a function. No, it is not…
A: Topic:- function
Q: Use the graph to find the following limits. a. lim f(x) X-1 b. lim f(x) X-3 a. Find lim f(x) or…
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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…
A: Solved below as per the definition of given terms.
Q: 1337 (2) =?
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Q: If A(x₁, y₁), B(x, y₂) and C(x3, v3) are the vertices of triangle ABC and x+y=x+y=x+y. then show…
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Q: - 3 f(x)= x-2 2 if x 4 (a) Choose the correct graph below. ITPT▬▬ O Te C T ▬▬▬▬▬▬▬ Q O CHH do #fo 2…
A: Topic:- function
Q: Find f+g, f-g, fg, and f/g and their domains. f(x) = √36x², g(x) = √x + 1 Find (f + g)(x). Find the…
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Q: 1. Find the following limits proving whether they exist or do not exist x² yey lim A) (x,y) →(0,0)…
A: Solve the following
Q: Consider the function Evaluate the definite integral f₁ f(x) dx = Evaluate the average value of f on…
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Q: S fr² cos(2x) dx mukaans
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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: Q4) Find the result of the following: 1. (330i19)/(2-1) =? 2. 3. 4. Beta function, ß (5/2, 1) =?…
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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: x² (d) S √1-4x² (HINT: sin² t = dx. (1. (1 - cos 2t).)
A: We have to evaluate ∫x21-4x2 dx.
Q: An integrand involving a radical form √√49-16x² suggests the substitution ○ 4x = 7 sec Ⓒ O x = 4 sin…
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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: Graph the system of linear equations. 0.04x -0.03y = 0.05 0.05x + 0.02y = 0.12 -10 -10 -5 -3 -10 y…
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Q: 6 5+ 4+ 3+ 2+ 1 0 1 2 + 3 R 4 5 6 y=x-4 ·x=y²+2
A: Given, Area of R is 103
Q: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…
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Q: 2. If x² - xy + y² = 3 find y' and y".
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Q: In this worksheet, you will be defining 30 unique matrices denoted by the letters of the alphabet.…
A: The objective of the question is defining matrices. Note - As per our guidelines we are supposed to…
Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² lim (,) (0,0) 24+24 y² (a)…
A: To find the limit if exists or to show that the limit does not exist.a limx, y→0, 0 3x2y2x4+y4b…
Q: Solve
A: We have to find the value of the given following conditions according to the given information
Q: 1. Find the limit if exists or show that the limit does not exist 1-cos(x+2y²) (x+2y2)2 (a) (b) lim…
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Q: Find (dy/dx) for: tan-¹(x + y) + In(x³y) = sinh(y)
A: To find dydx for: tan-1x+y+lnx3y=πsinhy
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: Given point A (6,5,8) and plane p with the equation 3x + 2y + 5z = - 24.
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Q: Consider the following functions. f(x) = √√√√64 - x², g(x): = √x + 2
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Q: Let f(x) = 4x² - 2 to find the following value. f(t+1) f(t+1)=
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Q: Calculate Calculate 1 f (425 - / +6²-8) dz 4x - dx. X S 5² - -x³√x² + 3 dx 3 ln³ Calculate 41³ (2)…
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Q: 11. A = {a, e, i, o, u} 12. B = {2, 3, 5, 7, 11, 13, 17, 19, 23,... } 13. C = {1, 3, 5, 7, 9, 11,…
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Q: Identify the special angles above. Give your answers in radians, using pi for and in the range…
A: As shown in diagram, we can conclude on following step.
Q: Let g be a function where g(2) = 5 and g(8)= -9. Which of the following conditions is necessary to…
A: Let g be a function where g2=5 and g8=-9 we have to find the necessary condition for g such that…
Q: Complete the table to find the derivative of the function. Original Function Rewrite eBook y = 4…
A: Basic identities of differentiation are used.
Q: 0.602x(3×3!/4)=? (Gamma function)
A: This question can be solved using the formulas related to gamma function
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: Compute the definite integral. ? 0 6ex sin(x) dx
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Q: Just as there are simultaneous algebraic equations (where a pair of numbers have to satisfy a pair…
A: Given data:- Pair of differential equation, y1'=y2y2'=-y1 Pairs of function, (A); y1=sinx+cosx &…
Q: I. ELIMINATION OF ARBITRARY CONSTANTS. For each problem, eliminate the arbitrary constant/s. Box all…
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Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).
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Q: For each of the following functions, find the derivative (dy/dx) with respect to x: 7. y = cos x 9.…
A: The given functions 7. y=cos x8. y=ex9. y=ln x we have to find the derivative of this functions.
Q: - Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx
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Q: Find the domain and range of the function. (Enter your answers using interval notation.)…
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Q: In Problem 1-10, write the given sets by extension. when possible 1- 2 A= {x/e B₂{x|x is a 3- C =…
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Q: If it is, state the domain and range of the function. (Enter your answers using interval notation.…
A: state the domain and range of the function.
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: Let lim f(x) = 4 and lim g(x) = 20. Use the limit rules to find the following limit. X-6 X→6 f(x)…
A: I am going to solve the problem by using some simple calculus to get the required result of the…
Q: + + -5 -4 -3 -2 -1 у 5+ 4+ 3+ 2+ 10 О -1+ -2+ -3+ -40 −5+ 1 2 3 4 5 X
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Q: 393. lim x x → 0+ 1/x
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Evaluate the limits of the following:
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