Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = x° + 8x-9 36- Find the derivative f'(x). 2 f'(x) = 3x2 +8 Enter the function f(x) and the derivative f'(x) into a graphing calculator to produce a graph of both in the same viewing window. -36 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 36- O A. The function f(x) is increasing on (Type your answer using interval notation Type integers or simplified fractions. Use a comma to separate answers as needed.) O B. The function f(x) is never increasing

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Use taylor series formula and  for interval of convergence use ratio test.

Q: x2 Sketch the curve of y %3D (х-2)(х-6)

A: According to question,Given function,y = x2x-2x-6

Q: The annual cost C (in thousands of dollars) and revenue R (in thousands of dollars) for a company ea...

A:

Q: Find the derivative of the following functions using the definition of the sine and cosine function....

A:

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions. Express ...

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2,3, and 4 about x = x0 and then find the nth Taylor...

A:

Q: Calculate the derivative indicated. d'y where dx? Ix=8 y = 6- x3 + 5x?

A: We need to calculate the second derivative of : y=6x3+5x2      at x=8

Q: Find the nth Maclaurin polynomial for the function. 4x – 4 f(x) n = 4 %3D X + 1

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. F(x)...

A: The Taylor Series of function f(x)= e5x with center a=0

Q: 3. Given n > 1, let S, = E-. Show that S, is not -k=1 k° an integer.

A:

Q: 3 : - 5 7 Consider the sequences 1; - .Which of these statements is correct? :- - 8. 11 A. The seque...

A:

Q: Given that a, =3 and if a is even; a n+1 5a -1 if a is odd. Then tern number four, i.e., a, is

A:

Q: 18. dx The integral - can be rewritten as V1 - x (a) lim (-2+ 2v1-s) (b) lim (-1+2vī -s) s--00 s--00...

A:

Q: If a <b <e_ If lim a,=L and lim e,=L+7,then which of these is TRUE? - 00 - 00 O A. (b,) converges. O...

A:

Q: Solve. 8. 2 бу - 4 %D y +4 y2 - 16 y Select the correct choice below and, if necessary, fill in the ...

A:

Q: Evaluate the integral dx 2xx - 3x?

A: To find: The integral ∫dx 2xx3-3x23 Concept used: ∫1-v2+1dv=lnv+12-lnv-12

Q: Given that a, =3 and if a is even; a 5a -1 if a is odd. Then tern number four, i.e., a, is

A: Series

Q: Assume that the domain of f is the set A = {–5, –2, 0, 2, 3}. Determine the set of ordered pairs tha...

A:

Q: 2. (а, By completing the square, show that 1/2 d.x x2 – x +1 3/3 By factoring x³+1 as a sum of cubes...

A:

Q: 7. Consider the integral 2m* g(x) dx. There is a function g(x) such that when u = Inx the resulting ...

A:

Q: Use the binomial serles to find the Maciaurin serles for the function. 1 f(x) - (1 + x) Σ (x) = %3D

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) In(x), n = 4, c = 3 PĄ(x)

A:

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x - 8x + y - 8y + 2 on the closed tr...

A:

Q: Answer this question by showing all work and formulas used to solve: Differentiate and simply. 3x2 1...

A:

Q: 3. The integral of an t dx is b In|sec(In(2x)ª)|. What is b? A. 1/2 В. 1/4 с. 2 D. 4

A:

Q: Consider the graph and determine the open intervals on which the function is increasing and on which...

A: topic- increasing and decreasing intervals of function

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A: According to question,Given differential equation,y4x + y  dx -2x2 -y dy = 0

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 + x+ 4...

A:

Q: E. (a) Approximate the function f(x) = Vr by a Taylor polynomail of degree 2 at a = 8; %3D (b) How a...

A:

Q: Given the matrix below, determine the following:  a. Cofactor of the element 5 b. Cofactor of eleme...

A:

Q: Evaluate the integral cot 2x S- Vcot? 2x - 15

A:

Q: Consider sequences n+1 n+2 (1) tan 2n (i) n+ (- 1)". Which of the above sequences are monotonic: A. ...

A:

Q: Use the Intermediate Value Theorem to show that 2х - 3 if – 3 0 has a zero on the interval [-2, In ...

A: By using the Intermediate Value Theorem to show that fx=2x-3x+3  if -3&lt;x≤0-3+2 cosh x  if x&gt;0h...

Q: Solve. 3x 12 96 %3D x-4 2- 16 X+4 .... Select the correct choice below and, if necessary, fill in th...

A:

Q: A model for the average price of a pound of white sugar in a certain country from August 1993 to Aug...

A:

Q: Volume of a solid beneath a surface z= f(x,y): || f(x,y)dxdy . D b) Let D be a region bounded by the...

A:

Q: Solve. p+ - = - 6 %3D

A:

Q: 7. This problem requires calculus. Let P = {a,x" + an–1x"-1 + ...+ a1x + ao | n > 0, ao, . ., an E R...

A: Given P is a set of polynomial function of degree n of real co-efficients and a function F:P→P such ...

Q: Solve. 6. 8 x+2 .... Select the correct choice below and, if necessary, fill in the answer box to co...

A:

Q: 11. y = coS x COS X -2 tan x 12. y = x? sin x tan x 13. у %3D 1 14. y = --3 sin x 15. y = x cot x

A:

Q: If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f '(1). f'(1) = %3D %3D

A:

Q: You plan to save money for a down payment of $33,000 to purchase an apartment. You can only afford t...

A: Solution ) future value (FV) = 33000 Payment per period (PMT) = 6000 To calculate effective semi ann...

Q: ト=| Conv or div?

A:

Q: Let S(x) 9 sin x + 9 cos x "(x) 3= r(-)-

A: Question is solved.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the fu f(x) = -, C...

A:

Q: Prove that lim (1 / n P ) = 0, p>0.

A: Given 

Q: Determine if the series is conditionally convergent, absolutely convergent or diverges. M-1)"- n =1 ...

A: The given series is: ∑n=1∞(-1)nnn3+4...(1) The absolute value series is: ∑n=1∞nn3+4 Let, an=nn3+4=nn...

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithm and fract...

A:

Q: dx du The integral , reduces to k=, where u = f(x) and for some ex + 1 constant k . Compute f (1). e...

A:

Q: Is the series divergent or convergent? Show solution and explanation. +oo In n n2 n=2

A: