21. One of the following value of the unknown a make the polynomial f (x) = 2x3 + 5x² + ax + 15 irreducible %3D O None 20 32 18 6.

Q: Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its…

A: A graph of the function is given, we have to find its intercepts, domain, range, and intervals of…

Q: Find a general solution to the differential equation.   16y′′+6y=4tan6t−12e2t

A: Here, we need to find the general solution to the differential equation 16y′′+6y=4 tan(6t)−12e2t.…

Q: Which polynomial function would have the end behaviour of as x 1 co, y⇒ co a. Y=7x²-8x²-2x³²+x²+3x-2…

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Q: 7. For the following polynomial function find the x intercepts and the y-intercept of f(x) = x? – 4x…

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Q: Which of the following is a factor of the polynomial function P (x) = x – x4 – 50x3 – 49x2 + 36?…

A: We need to find factor of given polynomial.

Q: Which of the following is NOT a polynomial function? c. f(x)= V4 +x find P(-3) a. f(x) =2 b. f(x) =…

A: Polynomial function is the function in which power of variable is integer and not in fraction.

Q: 4. Create an equation for the polynomial function g(x). The degree of the function is 6. Show your…

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Q: 3. y = 2x + 9x² + 7x - 6 Determine the first factor by utilizing the fact if substituting x = c, (c…

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Q: Two similar, but different ones. Consider the function f(x)=exp(x). Let p in P, be the interpolation…

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Q: 19. Determine the x-intercept(s) of the polynomial function y = -3(x+8)° – 24. Justify your answer…

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Q: d. Use the known rules of factoring fo determine the other zeros -6 J6?-4ac 2 fk)= x*tx- ×ニー fkl =…

A: Given information: fx=x3+x2-26x-30 We have to find parts d,e, and f.

Q: Question 9 y varies directly with x. y = 80 when x = 20 Find y when x = 30 Enter the value of y for…

A: 9. As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 28. Make a "quick sketch" of the polynomial function. P(x)= x²(x-4) -

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Q: 24. P(x) = 2x' + 3x - 8x + 3 %3D

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Q: Find the nth Maclaurin polynomial for the function. 3x - 1 F(x) = n = 4 x + 1

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Q: Evaluate the polynomial by finding the value of y when x = 2. If decimals, use 8 decimal places. xdy…

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Q: IX. Write a quartic polynomial function with real coefficients in expanded form that has the given…

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Q: Apply Simpson's Rule to the following integral. It is easiest to obtain the Simpson's Rule…

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Q: y 5- 4+ 3- 1- -4 -3 -2 -1 о 12 3. 4 -2- -3+

A: We observe that the derivative of the given function is zero at three distinct points.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.