Co Given the table about the function f(x). Construct the Divided Difference Table and calculate f(6) using Newton's interpolating polynomial.

Q: 18 x² +9 (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x)= (a) (fog)(4) " find the…

A: Given,            fx=x and gx=18x2+9

Q: Solve the area bounded by the parabola y² = 4x and the line y = 2x - 4 in ways. Answer: 2 sq. units

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Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index…

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Q: Your company produces computers each month. In a given month, the company has fixed costs of…

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Q: Consider the function f(x) = 3x² - 2x. Use it to find f(3), f(-2), and f(a+5). f(3) = 75 O f(-2)= -…

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Q: Can you answer d for me please

A: Solving part d

Q: Related Rates Suppose that a and y are related by the equation ay = 3x, and dy da Use implicit…

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Q: Problem: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine that contains 0.03 kg of…

A: Let's find concentration of the well mixed solution after 20 minutes.

Q: Evaluate the following limits. If needed, enter oo for ∞o and -oo for -∞. (a) lim 3+ 248 (b) lim 22x…

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Q: Evaluate the following three limits: i. lim x→1 ii. lim x-0 3@ iii. lim 2-e3a x-0 I

A: Given problems:- (i) limx→1ex-1-x3x2 (ii) limx→0e-3x-e-4x-xx2 (iii) limx→02x-e3xx

Q: Question 9 8 1 1/2 d The value of > Next Question ▼ da is

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Q: Given the function f(x) = - 4x² Find the difference quotient f(x+h)-f(x) h Find f'(x) by determining…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Question 6 Determine the signs (positive, negative, or zero) of y = f(x) (shown in the graph) and…

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Q: Find the area of the shaded region. Enter your answer as a reduced fraction.

A: Given two equations f( y ) = 1 - y2q( y ) = y2 - yshaded area varies from y = -1 to y = 1

Q: 1) Graph the rational function: f(x)= vertical and horizontal asymptotes. 2x²-5x-3 x²-4 . Find the…

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Q: If F(x)= S.. 2 F'(x) = tan(t) dt, compute F'(x).

A: Find F'(x) where F(x) is an integral of t

Q: Find all points where the function is discontinuous -N 197 *X

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Q: Question 6 and B Consider the function f(x) 7x + 7x-1. For this function there are four important…

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Q: Approximate the area under the curve graphed below from x = 1 to x = 4 using a Left Endpoint…

A: Given data:

Q: Suppose that sin(a) = 4/7 and cos(b) =4/8 define in the first quadrant, determine tan(a+b). (round…

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Q: Find the derivative of y with respect to x if y= In (7x) S sin (5e¹) dt.

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Q: The alternating series is convergent. 8 n=1 Select one: O True O False Give your reasons (−1)n+¹…

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Q: Determine whether F(x, y, z) = (yz², xz2, 2xyz) is conservative. If it is conservative, find a…

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Q: Evaluate the definite integral. e² dr

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Q: provide

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Q: Question 8 Find f'(2). ▼ If f(x) = (4x + 7)-4, find f'(x). > Next Question < (round to 3 decimal…

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Q: Find a vector of magnitude 91 that is parallel to 5i - 12j. ... The vector is (Simplify your answer.…

A: We have to find a vector of magnitude 91 that is parallel to 5i-12j.

Q: Find the area of the shaded region. Round your answer to one decimal place. 0.5 -0.5 -1.5 -2 -1 0 2…

A: Given Graph:-

Q: Find the derivative of y with respect to z. y=2(27) 경기 dz ||

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Q: Σ(3) n = The series Σ is O None of the others. O Convergent and its sum equals 1. 1 O Convergent and…

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Q: Which of the following are true statements? Mark all that are true. Olim f(x) = - 1 implies that lim…

A: Since you have posted multiple subpart question as per guidelines we can solve only first three…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Consider the function f(x) = 3x · h(x) where h (2) = 4 and h' (2) = -3. Fill in each blank: Then…

A: We know that equation of tangent line at any point is given as - ( y - y1 ) = m.( x - x1 )   Here m…

Q: Use mathematical induction to prove the statement is true for every positive integer n. 20+40 +60++…

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Q: Find the area of the shaded region. Enter your answer as a reduced fraction. 1.5 1 0.5 -0.5 AT 25 6…

A: To find the area of the shaded region

Q: Find the indefinite integral (-6-6 tan²0) do. (-6-6 tan³0) di-

A: INTRODUCTION A differentiable function F whose derivative is identical to the original function f is…

Q: 13. Use substitution to evaluate the integral: 2x(lnx)² dx. (Hint: let u = lnx)

A: Please refer to the image below.

Q: Consider the matrices A = Calculate 2B - A. O O O a.) -1 -5 12 7 -3 10 1 14 b.) 8 6 - 16 - 16 6-10 4…

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Q: Convert to logarithmic form. - 4 2 N|O = 6,561 16

A: by logarithmic properties logxn=nlogxlogxx=1

Q: 5. Find the value(s) of x where the tangent line is horizontal for f(x) = 3x³ - 2x² - 9.

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Q: Textbook If f(x) = 3 sec (5x), find f'(x). Find f'(4). Question Help: Video Videos [+] Submit…

A: The given function is; f(x)=3 sec(5x).

Q: Find the equation of the tangent line to (1,2) through the point . x + y + 3xy = 15 that goes Put…

A: Given x3 + y3 + 3xy = 15

Q: question 23 please show all work  Find the total area between the graph of f(x) =×^2 - 6 and the…

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Q: Use the graph of the function f to solve the inequality. (a) f(x) > 0 (b) f(x) ≤0 4- 2- # -41 4 -4-…

A: The answer is in step 2.

Q: all is launched straight up in the air from a height of 6 feet. Its velocity (teeV/second) t seconds…

A: Given velocity function f( t ) = -32t + 280 average velocity = Vavg

Q: Which of the following statement is true for the alternating series below? 8 Σ(-1). n=0 n5+1 The…

A: Solution: Given data, ∑n=0∞(-1)n 1n5+1

Q: Use Cramer's rule to solve the system. 3x-2y4z = 39 2x-3y - 3z = 36 4x - 2y = 22 Write the fractions…

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Q: Calculated for each one of the following functions. In each case show all (x) your steps in…

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Q: Question 8 10 3Q 20 4x² + 2 " identify the interval on which f is concave down.

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Q: Evaluate the improper integral or state that it diverges. -5-8dx x² -8

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