Factoring this, we get F(x)=2x3+24x+12x3² + 12x + 6). Since is never 0, then F(x)=0 when x² 12x+6=0, or when: 3 x--11.48. --0.52 X (smaller x-value) X (larger x-value).

Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

A:

Q: 2. Use the Comparison Test to determine if the integral below is convergent or divergent (Hint: use…

A: The objective of the question checking the convergence or divergence of the given improve integral.

Q: 7. 3 Let h(x) = ³₂. x-2° (a) (b) Find the inverse, if it exists. Find the domain and range of each.

A:

Q: What is the maximum vertical distance between the line y = x + 20 and the parabola y = x² over the…

A:

Q: Find two points where the curve x² + 2xy + y² = 97 crosses the x-axis. The tangents to the curve at…

A:

Q: e² 82. · [ (v + In u) dv du e In u

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 Σ1 4 + 1…

A: Use comparison test to determine convergence of series

Q: Suppose that f(x) = ⁹ - 18x². (If an answer does not exist, enter DNE.) (a) Find all partition…

A:

Q: QUESTION A3 Calculate the test statistic, Z for the population mean.

A: The test statistic is a z-score (z) defined by the following equation. z=(p−P)σ  ,  where P is the…

Q: Consider the function f(x) = ax³ + bx where a > 0. (a) Consider b>0. i. Find the x-intercepts. ii.…

A:

Q: QUESTION 5 Given f(x,y) dA, where D is the region bounded by y = 2x² and y = 1 + x². Determine and…

A:

Q: Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A: dimension of the box

Q: Consider the function f(x) = 12x5 + 30x¹ 300x³ + 4. f(x) has inflection points at (reading from left…

A:

Q: If 8000 dollars is invested at 8% interest, find the value of the investment at the end of 6 years…

A:

Q: Use the graph at right for questions 4 and 5. It consists of a semicircle and two line segments. 4.…

A: 5.  We have given graph of the function  Function is differentiable at point if function is…

Q: Given the function f(x) = 5x³ − 56x² + 112x + 128, and knowing one factor is (x − 4), write f(x) a…

A:

Q: The function f(x) = 3 - 2x is defined for the given domain -2 ≤ x ≤ 2. What is the range? (A)7 ≤…

A:

Q: Which of the following integrals is the area between the graph of f(x) and the y-axis from 0 to 6…

A: Note: Since, there is a typing error in "the area between the graph of f(x) and the y-axis" because…

Q: [5/4 sin x dy dx

A: Here we have to find the double integral.

Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x³ - 12x + 9

A:

Q: Which one of the following graphs fits the descriptions given about an open interval containing…

A:

Q: A model for the yield Y(N) of an agricultural crop is a function of the nitrogen level N in the…

A: Given query is to find the nitrogen level for maximum yield.

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 3-2.…

A: We need to find width and height.

Q: Σ(1) A k! μέρος

A:

Q: Find all critical points and then use the first-derivative test to determine local maxima and…

A:

Q: 27. If = xy² 7-2x²yz7-3yz² find curl 7 at the point (1,-1, 1)

A:

Q: Recall that the logistic model can be written in the form a) Give the formulas for finding the…

A: We have to find carrying capacity and growth rate, by comparing the logistics model formula to the…

Q: Find lim f(x) and lim f(x) for the given function and value of c. X-C* X-C™ f(x) = (x+8) lim (x+8)…

A: The given function is:f(x)=x+8x+3x+3 ;         c=-3

Q: 2. A carpenter has a 10 foot long board to mark off a triangular area on the floor in the corner of…

A:

Q: Find dy by implicit differentiation. x³5xy = 29

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Determine the solution for the following higher-order homogeneous differential equation. Also,…

A: Concept: In order to answer this particular question, we will employ the idea that the sum of a…

Q: What are the real roots of the function in the graph? y -7 -6 -5 -4 -3 -2 A 3 B 4- -6 - 5 4 3 2 11 0…

A:

Q: Suppose that the derivatives f'(z) and g'(z) exist. Show: f(z)g(z)-g' (z)f(z) g²(z) b) [f(g(z))] =…

A: Let f(z) be a differentiable function. Then the derivative of a function is defined as…

Q: (b) If the critical value is 4.605 at a significance level of 0.10, can we reject the null…

A: Answer b) In hypothesis testing, there are two ways to determine whether there is enough evidence…

Q: Find the derivative of the function. f(x) = Upload X-2 Choose a File

A:

Q: 2. Casey cut an 8-foot board into three sections. Two of the pieces each have length n feet. Write…

A: We can find the length of the third piece.

Q: Write an equation for the polynomial graphed below. You can leave the function in factored form. 4 3…

A:

Q: B E A B Q: ABCD is quadrilateral Shape whose diameters. intersect at E, Sinc AB / CD // EF, and F in…

A:

Q: Graph the parabola. y=x²+10x+27 Plot five points on the parabola: the vertex, two points to the left…

A:

Q: 1 z π/4 tan 0 sec 0 1 146. | [[ x² + y² 0 0 dy dx = dr de

A: Use the relation between cartesian coordinates and Polar coordinates.

Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

A:

Q: y = sec ² t 2 y=1-₁² 0 t

A:

Q: 4. Martin's family drives 300 km from their home to a family reunion. His cousin Sherry and her…

A: Since both reach the party at the same time so both take same amo

Q: interval. f(x) = x³ - 6x² + 9x + 22, on [-1,2] 3. Find the absolute extreme values of the function…

A: Given: fx=x3-6x2+9x+22, on -1,2   Use the Power law: ddxxn=nxn-1 For maximum and minimum values…

Q: Calculate the derivative of the function. s'(x) = s(x) = 6x + 8 7x - 1

A:

Q: 14. Simplify the following functions using the properties of logs. a) f(x) = ln (e5x) - 3x + 5 ln(1)…

A:

Q: Choose the correct answer Find a function f(x, y, z) such that Vf(x, y, z)= F(x, y, z) = (yz, xz,…

A:

Q: 1. Here the the volume of between 0 and z (in meters) is ㅠ - - V(z) = (12z – (z − 1)³ — 1) . 3 The…

A:

Q: 2) Find the exact value of sin-¹ (sin 9T 8 .You must show all your work.

A:

Q: For what value of a is the following function continuous at every x? a ²x-2a, x≥2 24, x<2 f(x) =…

A: