F(x)(x-4)²(x-8)² (a) Determine intervals where fis increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Determine the local minima and maxima of f. (Enter your answers as comma-separated lists.) locations of local minima X= locations of local maxima xw (e) Determine intervals where /is concave up or concave down. (Enter your answers using interval notation) concave up concave down (d) Determine the locations of inflection points of f. Sketch the curve, then use a calculator to compare your answer. If you cannot determine the exact answer analytically, use a calculator. (Enter) your answers as a comma-separated list.)

Q: A small cannonball with mass 9 kilograms is shot vertically upward with an initial velocity of 170…

A: Given, the information                                    then we have to answer the following...

Q: Find the zeros of the function, and their multiplicities. f(x) = x³ +7x² -x-7 The smallest zero is…

A: Note that as per the rules we are supposed to answer the first question and rest of the questions…

Q: Evaluate $ xy dx + x²dy, where C is the rectangle with vertices (0,0), (2,0), (2,6), and (0,6)…

A:

Q: lim_ f(x) = x→2+ lim f(x) = x→2- lim f(x) = x→2 -1 4 3 2 1 -1 f(x) 1 2 3 4

A: The graph of the function f(x) is

Q: Graph the polynomial function. f(x) =(x+2)² (x-1)4 Choose the correct graph below. O A. Q O ✔ B. Q C…

A: We have to graph the given function.

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x)=x²/3(x-6) (a) Find the…

A:

Q: iven the vector function r(t) = (4 cost, 4sint, t) for t = = . Find the: 2 mit tangent vector for t…

A:

Q: Find a function f whose graph is a parabola with vertex (3, -2) and that passes through the point…

A:

Q: Evaluate the integral [(31³) | + (4) J+ (7t+6) k] dt. 1 1 0 0 [(3²) + (¹+0*0* 1+ (4) j + (7t+ 6) k]…

A:

Q: Suppose xy³z²-80-3xy-z. Compute дz -0 8x (-3,-2,2) Az ду (-3,-2,2) -0 дz дz дх ду and at the point…

A: we have given function

Q: Directions: Use the conversion factor method to convert each of the following amounts to the unit…

A:

Q: Graph the polynomial function. Use synthetic division and the remainder theorem to find the zeros.…

A:

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A:

Q: Evaluate I= f (secx) dx and say what substitution you use to evaluate the integral. OI-2 and we use…

A:

Q: (x - 5)² + 36 3. Show all work and explain your reasoning to answer the questions based on the…

A:

Q: (6) lim X-00 5+3x-4x 4+5x2

A: Given limit

Q: the second half is worng

A: The natural numbers set is  . =4}" data-mce-style="box-sizing: inherit; user-select: all; display:…

Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C' is the…

A:

Q: 3. Water flows into a tank at a rate of r (t) = 200 - 4t liters per minute. Use the Net Change…

A:

Q: The 3rd term of a geometric sequence is 56 and the 7th term is 896. Determine the 14th term.

A:

Q: 14. əz as Use the Chain Rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t -…

A:

Q: (c). lim 40+ (--) tanz

A: Limx-0+ (1/x)tanxFind the limit.

Q: Initially 10 grams of salt are dissolved into 40 liters of water. Brine with concentration of salt 4…

A: Initially 10gm of salt are dissolved to 40lt of water. Brine with concentration of salt 4 gm per…

Q: |y=1/7(e^t-e^-6t-7) y' -e¹ +6 = -6, y(0) = -1. y DNE help (equations) b. Discuss the behavior of the…

A:

Q: Use logarithmic differentiation to find the first derivative of the given function. (a) f(x)=(5-3x²)…

A: log(mn)= logm+logn

Q: Find lim 1 2/3 X 2 (x-4)2/3 as

A:

Q: An object is dropped from a tower, 181 ft above the ground. The object's height above ground t sec…

A:

Q: For y = f(x) = x³, x = 5, and Ax=0.02 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

A:

Q: Qr ]: A particle starts by moving to the right along a horizontal line; the graph of its position…

A: The graph of the position function is

Q: Find the product and simplify if possible. ((n+k)^(2))/(n-k)*(n)/(n^(2)+nk)

A:

Q: (11) Fine lim f(x) when f(x) x-0 = 0; X = 0 2; X = 0 (Ans. 0)

A:

Q: In Exercises 1-2, which functi 1. 10.2 or 72,000x¹ 12

A:

Q: Draw, to the best of your ability, the graph that represents the following: Draw a graph that is the…

A: We have to draw, to the best of your ability, the graph that represents the following: Draw a graph…

Q: 5. a. b. C. d. Given the position function, 2 x +1 Find the intervals of increase and/or decrease.…

A:

Q: 3. What is the set of removable discontinuities of the function? cos²0 sin²0 tan²0 j(0) =

A:

Q: Q30. R = {(i, i), (i, n), (g, g), (n,n), (n, i), (o, i), (o, o), (o, n)} is a relation on set B =…

A: The given relation isAnd set

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: Initial…

A:

Q: The terminal side of an angle 0 in standard position passes through the point (-2,-4). Use the…

A:

Q: Find an Upper Riemann Sum for the integral (x² - 4x + 2)dx. Ο Σ1 (27%* – 184 – 3) Σ(* - 6 - 7) ΟΣ"…

A:

Q: how diagram, define variables, state formula, theorem, equation or function used, Show substitutions…

A: the given function   Set the denominator in    equal to    to find where the expression is…

Q: Consider the following problem: A farmer with 650 ft of fencing wants to enclose a rectangular area…

A: Given,Fencing = 650 feet

Q: Find the extreme values of the function and where they occur. y=x²-3x2² +1 OA. There is a local…

A:

Q: 7.The following graph is a second derivative g" (x) of a function g(x). a)On what interval(s) is…

A:

Q: Integral of 3x^5 + cos^2(5x) + 2sin(x)

A: we need to find the integration of the function

Q: 2. Verify the identity sin(A-B) sin(A + B) = sin² A-sin² B.

A:

Q: 43. Determine the limit: lim x2 + sinx π 2 x→0 x²-cos X COS -X

A:

Q: Show

A:

Q: Q35. If the value of the determinant |1 1 64- 1 ω 11 w² ω value of k.< -1 - w | = k(w³² - w) where a…

A: W

Q: Use the diagram to find the following bearings. B Part: 0 / 4 Part 1 of 4 Part: 1 / 4 203 Part 2 of…

A: By using following diagram to find the following bearing.(a) To find the bearing from O to A.(b) To…

Q: 1. Explain what is considered an increasing function and what is considered a decreasing function?…

A: When the slope of a function increases in any interval then function is said to be increasing in…