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Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =<2< 1. Calculate the expected value of z. a. b. C.…

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Q: Describe and graph the regions in the first quadrant of the x1x2-plane determined by the given…

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

Q: DIGITSL FORMAT wing double integrals and draw th xdy

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Q: Explain whywe can't calculate everylimit lim f (x), when x approaches c just by evaluating f(x) at =…

A: Lets take a graph for refrence to understand why we can't calculate limit every where  f(x) =11-x

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

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Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

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Q: An integrand involving a radical form 49-16x2 suggests the substitution

A: Given: fx=49-16x2 Let, I=∫49-16x2dx   ....(1)   As we know the trigonometric identity; 1).…

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

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Q: Book Problem 24 If F(x) = f(t)dt, where f(t) = Stº F"(x) = Note: You gon I √7+u² U du, find: and F"…

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Q: Calculate the area, in square units, bounded by f(x) = 10x³ + 8x² - 17x - 4 and g(x) = 9x³ + 10x² -…

A: NOTE: Refresh your page if you can't see any equations. . and the given interval is  so the lower…

Q: C(4)-C(0) 4 AC(t) 4 The energy in a rechargeable battery is changing with respect to time, such that…

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Q: 1 Express the following functions in the form utiv • f(Z) = ln (1+z)

A: This is a problem related to complex number. Please follow the procedure given below.

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: Find expressions for the quadratic functions whose graphs are shown. f(x)= g(x) 11 y

A: Given :   f(x) Vertex ( h , k ) = ( 7 , 0 ) put point ( x ,y ) =( 8 , 2 )

Q: The following graph is the result of applying a sequence of transformations to the graph of one of…

A: The following graph is the result of applying a sequence of transformations to the graph of one of…

Q: 4. Consider the population model dP dr -0.3 (1-2) (0-1) P. dt 50 where P (t) is the population at…

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Q: 4₁ An online company lets you download songs for $0.99 each after you have paid a $5 membership fee.…

A: 4. An online company lets you download songs for $0.99 each after you have paid a $5 membership fee.…

Q: 27. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

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Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

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Q: Question 2 A tank contains 800L of water with 10kg of dissolved mineral. Pure water is injected into…

A: As per our guidelines we are allowed to solve only 3 sub parts. kindly repost others. THANK YOU…

Q: Evaluate the piecewise defined function at the indicated values. F(x)= {1²2-6 5 ifx≤2 |2x−6 ifx>2…

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Q: (c) If b = 1, what is the range of this function? (Enter your answer using interval notation.)

A: Topic = Function

Q: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e² 2 y = -1 4 X

A: Given graph:-

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: Find the equation of the tangent line to the space curve r(t) = 2cos (t)i + 2 sin(t)j + tk at the…

A: The curve is given by: r(t)=2cos(t)i+2sin(t)j+tk

Q: Convert 1.2 in radians to degrees:

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Q: Let f(x) = √64 - x², 0≤x≤8. (a) Find f-1.

A: Topic = Functions

Q: -2 0 1| 3 What is the 6 5 4 3 2 1 0 -1 -2 -6 lim f(x) for the following graph? X→-3 -5 -4 -3 -2 -1 0…

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Q: fk(x) = x³ +512 X+8 X k(x) 2 complete the table and use the results to find lim k(x). X→-8 - 8.1…

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Q: a tractor is purchased by a local farmer for $ 12,000 and straight - line depreciates to $ 0 in 20…

A: Given 1. Purchase price of tractor =$12,000 2. Depreciates to $0 in 20 years

Q: (4 4 Find the roots of Z²₁+1=0 it/2 Hint i = e :

A: Given :Z4+1=0Hint : i=eπ2i

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

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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: See this solution in details below

Q: The probability a machine has a lifespan of more than 5 years is 0.8. Ten machines are chosen at…

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Q: 3300t The system of the population of a culture of tumor cells is given by p(t) = t+1 Select the…

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Q: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: Find the area bounded by y = x³ and y = x² + 2x on x € [-1, 1]. Submit your answer in fractional…

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Q: 8. (Optimisation.) The function f(x) = 2x³ - 3x² - 12x+80 has domain 0 ≤ x ≤ 4. Your goal is to find…

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Q: Given the integral: fcos-¹ 1 x dx

A: Given :    Integral : cos-1(x) dx

Q: K The following graph is the result of applying a sequence of transformations to the graph of one of…

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Q: A bicycle tire inner tube producer can sell 1111 inner tubes at a price of $1.54$⁢1.54 per inner…

A: Given problem:- A bicycle tire inner tube producer can sell 11 inner tubes at a price of $1.54 per…

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 the set on which the curve is concave upward. Answer (in interval notation): = [₁² F 1.² 2 t² +…

A: A function y=f(x) is said to be concave upward on an interval if d2ydx2&gt;0.

Q: Book Problem 31 Find a function f and a positive number a such that f(x): a = = + [² 2+ f(t) dt =…

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

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Q: 5000 4000 3000 2000 1000 X 50 100 150 200 250 300 350 (b) What is the slope of the graph? 5000 (c)…

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Q: (a) (b) Find composite functionsf(g(x)) and g(f(x)) for given f and g f(x) = 4x-2, g(x)=√x + 2 f(x)…

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Q: Evaluate the piecewise defined function at the indicated values. 7x if x 5 Read It Watch It 6 Master…

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