Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x [x(t) = 8√t | y(t) = 5t + 4 y(x) =

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 1) Consider the functions ƒ(a) = 100 – 2¹ª and F(x) = f(t 1² f(t) dt. i. Write a simplified form of…

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Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

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Q: 6.7 Find the unique number which is equal to its half plus 1.

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A: Given query is to find differential at indicated points.

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A: Given function:- fx=x Taylor series is given by fx=∑k=0∞fkak!x-ak

Q: 8. Determine lim 3/4x+8. Show your work.

A: Solution is done in step 2

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Q: Use the properties of limits to compute the following limit exactly lim [(x-3)³ (5x+1)²]

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A: We can find the surface area and the volume in the below steps.

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Q: Question What is the point ony = 2√√x that is nearest to (4, 0)?

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Q: 3 [(5x² +9) dx 0 3 (1) (5x² +9) dx = (Type an integer or a simplified fraction.) 0

A: ∫xndx=xn+1n+1+c∫03(5x2+9)dx=5∫03x2dx+9∫03dx

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A: Given that , fx=16x32 and a=9

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A: this is question of function  here function is given we have to find the range and domain of…

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Q: Part 2: An old study about 1,800 U.S. colleges and universities resulted in the demand equation q =…

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

Q: Use the Fundamental Theorem to evaluate the definite integral exactly. 1 [₁ (18x² + 3) dx Enter the…

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A: Please see the below picture for detailed solution.

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A: Given that  a right angle triangle with side length. And a= 2 ; b= 3 and c= √13. And we find the…

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A: Initially Radiator has 5 gallons of water

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Q: If g(x) = 2x + 1 and h(x) = x2  - 2 then  g(h(4)) =

A: The given functions are: gx=2x+1 and hx=x2-2   To calculate the value of gh4.

Q: F 0 f(x) 4. Let g(x) = f(t)dt, wher (a) Evaluate g(0) and g(e (b) Estimate g(x) for x = (c) On what…

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Q: Find sin 2x, cos 2x, and tan 2x if tanx =-3/2 and x terminates in quadrant IV

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Q: Determine an equation for the plane through the following points: (-5, -9, 3), (-8, -4, 7) and (-9,…

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Q: Evaluate. Be sure to check by differentiating. f. X 10 10 +9 +9 f. dx=0 (Type an exact answer. Use…

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