45-46. Analyzing slopes Use the points A, B, C, D, and E in the following graphs to answer these questions. a. At which points is the slope of the curve negative? b. At which points is the slope of the curve positive? c. Using A-E, list the slopes in decreasing order. 45. УА B C E

Q: Find all x ER that satisfy the equation 1x+1)+|×-21=7

A:

Q: HAUTHEN A bird population can be modeled by f(x) = x³ - 61x² +860x + 2200, where x = 1 corresponds…

A:

Q: Consider the following initial value problem: (t² – 16t + 60) du = y with y(8) = 1_ dt A. Solve the…

A:

Q: etermine the area of the region on the x-axis of the circle of radius 4 and center at the origin…

A:

Q: The edge of a cube was found to be 30 cm with a possible error of 0.2 cm. Use differentials to…

A:

Q: If f(x) = 5 sec (3x), find f'(x). 15 sec (3x) tan (3x) Find f'(3).

A: We are given that f(x)=5 sec(3x)From the first part, we get f'(x)= 15 sec(3x) tan(3x)Now, we need to…

Q: The characteristic equation of this constant coefficient equation has pure imaginary roots. Solve…

A:

Q: f(x) 文 4-x x=2 x>2 at x = 2

A: To determine wether the curve has a tangent at the indicated point.If it does, then to give it's…

Q: 2. Find y' and y" for both of the following functions. a) y = ex sin x b) y = tan x

A:

Q: Order 7 of the following sentences so that they form a proof for the following statment: Choose from…

A:

Q: In three to five sentences, discuss how the Limits of a Function is relevant to optimizing the area.

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Identify the open intervals on which the function is increasing or decreasing. f(x) = sin(x) + 4…

A: The given function is

Q: 4. (x² - y²) = xy dy dx

A: given differential equation

Q: 3 A y=f(x) |x=g(y) C 2.45 a. Describe the figure generated by revolving segment AB about the y-axis.…

A: given graph of the two function

Q: Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 3xy2

A: Given data

Q: The weekly demand and supply functions for Super Titan tires are given by p=4.7x² +3.5x + 68.8…

A: The demand function The supply function

Q: X Solve e = 13 for x.

A:

Q: Find 7' (t), given r(t) = (sin(t – 1), te-t, 5t ln(5t)). r¹(t) =

A:

Q: Write a polynomial f(x) in completely factored form, with leading coefficient 1, that satisfies the…

A:

Q: 8 f(x) x-1 as x→ 1+, f (x) →→∞ as x→ 1+, f (x) → ∞ as x→-3, f (x) → ∞ as x → 1-, f (x) → ∞ as x→-3+,…

A:

Q: 4. The given limit represents the derivative of some function f evaluated at some number a. That is,…

A:

Q: Suppose the total cost of producing q units of some commodity is given Gla) 0.001² -

A:

Q: Find T, N, and K for the plane curve r(t) = (10t + 1) i + (6 −t¹0) j T(t) = 1⁹ √√1+118 (Type exact…

A:

Q: Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian…

A:

Q: Find the unit tangent vector to the curve defined by 2πT r(t) = (4 cos(t), 4 sin(t), 2 sin² (t)) at…

A:

Q: Show that if S x T is a closed subset of R², then S and I are closed subsets of R.

A: The aim of the problem is to show that:"If  is a closed subset of , then S and T are closed subsets…

Q: match the answers to the right trigonometric function

A:

Q: Consider the non-exact differential equation (3x¹ − yº)dx + (6xy³) dy = 0. (a) Find an integrating…

A:

Q: An engineering school reports that 52% of its students were male (M), 39% of its students were…

A:

Q: Find the following. = ( ₁₁ — 1) , V₁ 1, = 2 U = (a) ||u|| (b) (c) ||u + v|| (d) (e) ||v|| (f) — 33 u…

A:

Q: Consider the following graph of the function f(x). 10 (b) lim f(x)= x→2¯ (c) lim f(x) = x+2+ y (d)…

A:

Q: Complete the table by identifying u and du for the integral. [ f(g(x))g'(x) dx √x³√x² +7 dx U = u =…

A:

Q: If s = x O 9/11, 8,5/8 find . d²s dx² d²s dy 2 d²s d=² d²s dx2 d²s dx2 11 d²s - dx² 121 Click Save I…

A: Given

Q: 6. Is the function given by f(x) (x + 4, for x < 3 2x - 1, for x ≥ 3 Continuous at x = 3? Why or why…

A:

Q: dx xVx2 – 9 S Ja

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find an equation of a plane containing the line r = (3, -4,-5)+t(-4,-4, 2) which is parallel to the…

A: We have to find the equation of the plane containing line r and parallel to the plane 2 x-y+ 2 z=-5.

Q: The graph of y = (x²-5)*(x²+1)5 is shown to the right. Find the coordinates of the local maxima and…

A: A critical point of a function  y= f(x) is the point at which f'(x)=0 or undefined.

Q: Consider the following graph of the function f(x). Now, evaluate each of the following limits. lim…

A:

Q: If z = 9x² + y2 and (x, y) changes from (1, 2) to (0.95, 2.1), compare the values of Az and dz.…

A:

Q: Find the following using the table below. 1 23 4 1 13 3 3 X f(x) 2 4 f'(x) 14 4 2 g(x) 3 4 2 1 g'(x)…

A: given function

Q: take the integral of 1/(1+tan^2(x))(sinx -1)

A:

Q: Analyze the function below. Which of the following is/are true? 8 f (d) 81 82 8 x+5 as x→ 1+, f (x)…

A:

Q: f(x) = √ 4 − 3x Explain how to solve this question in words. Then, provide the complete solution…

A:

Q: 5. Use the limit definition of derivatives to compute f'(x), where f(x) ax²+bx+c. Assume that a, b,…

A:

Q: 3. How long would it take to double a $1500 principal if: a. interest is compounded quarterly at…

A: The principal amount is $1500 and the rate of interest is 2.76%

Q: 4. Consider the function g(x) = 2-πXx XA if x ≤ a if x > a Use the IVT (Intermediate Value Theorem)…

A:

Q: 8) Determine the formula for the 4th degree polynomial f(x) shown below: -2 0 2 --6- 2

A: To determine the formula for the 4th degree polynomial  shown below.

Q: Sketch the graph of the following function. f(x) = -e(1/4)x -10 D y 10 -10 5 10 square units X Find…

A:

Q: -10 -3 -3 -4 Ay 10- 8- 2 то 4 -6- СЫ X $10

A:

Q: Let y =(f(u) + 3x)² and u = x³ – 2x.

A: