Find the length (in units) of the curve  y =  16 − x2  between  x = 0  and  x = 2.    units

Q: Consider the following function. (If an answer does not exist, enter DNE.) f(x) = |x - 81 Find the…

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Q: 1) y = 3z³+2 2) y = 1 t²+1 x = z² +4 x = √4t+1

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Q: (1) Given f(x) (a) Find f 1 1-x 2 (²). f(x) = 2 and g(x)=√x² +2. (b) Find fog (c) Find and simplify…

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Q: Find the derivative of the function f for n = 1, 2, 3, and 4. n = 1 n = 2 n = 3 n = 4 f(x) = COS X…

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Q: f(x + h) − f(x), (Assume h ‡ 0.) - h For the function, find and simplify. f(x) = 8x² f(x +h)-f(x) h

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Q: N C 0 O N RE Ⓡ O

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Q: X ME n! 3 11

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Q: It is raining on a parking lot. The rate that rain falls on the parking lot, in gallons per minute,…

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Q: Determine the value of ksuchthatf (x)= kx2 ifx ≤ 2 2x+k ifx>2 iscontinuouseverywhere.Then, kerk

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Q: Set up an integral that represents the volume of a solid whose base is enclosed by the functions y =…

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A: Given equation, 2x-12x-3-xx+1-2x+12x2-x-3=0

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A: Topic = Algebra

Q: B- Find the natural domain, range and graph the functions for the follo X 1) g(x) = x 2) g(t) = -t³/…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: - H Rx² b. f(x)=- c. f(x) = Mx4 + Nx² + Px + Q

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Q: 8 28. Σ2-12 k=1

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Q: Find the derivative of the function. y = In(xVx² - 5) y' =

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Q: The 30th term of an arithmetic sequence is 147 and the common difference is 4. What is the first…

A: It is given that 30th term of an arithmetic sequence is 147 and the common difference is 4.

Q: For x > 0, the horizontal line y = 2 is an asymptote for the graph of the function f(x). Which of…

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Q: Parametrize the intersection of the surfaces y² − z² = x − 5, y² + z² = 9 using trigonometric…

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Q: For the curve: f(x) = 3x^2- 12 : i. determine the x and y intercepts.  ii. locate the stationary…

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Q: Graph the set of points of discontinuity for the following function: 1 f(x, y) xy+6

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Q: Find a and b such that f is differentiable everywhere. 8 cos(x), x < 0 ax + b, X 20 a b = || f(x)

A: Since the function is differentiable everywhere so it will be differentiable at x=0

Q: Whenzeroismultipliedtothe lim - 3x 20 + 1 x²-16 , the answeris

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Q: 5) Find the following by using the partial fraction method ii) y²-2y + 1 (y² + 1)² pro dy (2012)

A: The given integral is (y2-2y+1)/(y2+1)2. Repost the next parts.

Q: An automobile depreciates by 20% per year. How soon will it be worth only half its original value?…

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Q: Given: + g(x)= x+3, if x3 What type of discontinuity occurs at x=3 ? O a. Jump Discontinuity O b.…

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Q: All points of plane PL are equidistance from point (2,-1,1) and (3,1,5), find equation of PL

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Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x³ X y= y

A: Concept: The area of the region bounded by the two curve f(x) and g(x) such that f(x)≥g(x) on the…

Q: Find the derivative of the function f for n = 1, 2, 3, and 4. sin x n=1 f'(x) = n = 2 f(x) = n = 4…

A: We have to find the derivative of the function  f(x) = sin xxn for n=1, 2, 3, and 4.

Q: Q4/ Find the maximum and minimum values of the function F = x². constraint 2x + y-z-5=0. Q5/A-…

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Q: Use rectangles to estimate the area under the graph f(x) = 2x - 1 from 1 to 3 of divide by 5

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A: Recall: Ratio test

Q: Prove the following limits x⁹y lim a) (x,y)=(0,0) (x6+y²)² b) = Does not exist x²y+xy² lim…

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Q: 3. Without using technology, find the length of the piece of y = x³/2 from (1, 1/3) to (4, 8/3).…

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Q: Find a domain where f(x) √2+1 is one-to-one, and find a formula for the inverse restricted to this…

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Q: Which is the differential equation of the family of parabolas with axis along the y-axis and with a…

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Q: Homework: Evaluate the following integrals: Please, expert, I do not have money and my financial…

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Q: Use the properties of natural logarithms to simplify the function. X f(x) = In (1/1) f(x) = + In 4

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Q: B. The 6th term of an arithmetic progression is zero and the 16th term is forty. i. The first term…

A: Let 6th Term of A.P. =a6 Let1 6th Term of A.P. =a16 Given a6=0 ,a16=40

Q: 2) Find the equation of the line passing through the origin and the point of intersection of a⇒ x +…

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Q: What is the limit of (5- absolute value of x)/(5+x) as x approaches -5? And can you go into detail?…

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Q: 11/ f(t) = Dt²³ +E. find the in definite integral Sf (t) d +

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Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who…

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Q: 2. Newton's law of cooling states that the temperature of an object changes at a rate proportional…

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Q: A candy company has 144 kg of chocolate-covered nuts and 84 kg of chocolate-covered raisins to be…

A: Let x be the number of kg of the half-nuts and half-rasins mixture and y be the number of kg of the…