(2) Let f(x) = -3 sin (+). (a) Find the amplitude, period, and phase shift of f;

Q: Find the general solution of the following reducible second-order differential equation. Assume x, y…

A:

Q: Use the Squeeze Theorem to show that lim (x² cos 22x) = 0. Illustrate by graphing the functions f(x)…

A: given limit

Q: Solve the equation and inequalities. (a) f(x)=0 (b) f(x) > 0 (c) f(x) < 0 Q

A: In this question, we will solve the equation and its inequalities by using the graph.

Q: he graph off to find the largest open interval on which f is increasing, and the largest open…

A:

Q: Find the length and direction (when defined) of u xv and vxu. u= - 8i + 16j - 12k, v= -2i+4j - 3k…

A: To find the length and direction (when defined) of .

Q: Determine the interval(s) on which the following function is continuous. Then analyze the given…

A: f(x)=3ex1−e5x

Q: Q2. Find area of the region in 2D plane (x,y) given by: (it is sufficient to provide an expression…

A:

Q: If lim 1-0 x² ** a. lim f (x) -O b. lim x-0 5, find the following limits.

A:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³9x² - 21x + 8 (a)…

A:

Q: Assume that functions f and g are differentiable with f(-3)=-4, f'(-3)=3, g(-3)=3, and g'(-3)=4.…

A: given find the equation of tangent of function F(x) at x=-3

Q: Test the series below for convergence using the root test. n=1 10n 5n+ 2 n The limit of the root…

A: Solution is following in explanation step.

Q: Find the point (a, b) on the graph of y = x² where the tangent line to the curve has a slope of -21.…

A:

Q: e 20- 15+ 10 This is the graph of the function f(x)= 2² +2. Use integration to calculate the area of…

A:

Q: 10p²-3p+6 p-1-2p4 + 7p³ + 1 g) lim

A:

Q: A population of 420 bacteria is introduced into a culture and grows in number according to the 6t…

A: P(t)=420(1+)Where t is in hours We have or findrate at which the population is growing when t= 5

Q: b. Find the limit, if it exists. (If it does not exist, enter NONE.) lim (3x + x - 2) z-2 Find the…

A: We need to fund the limit

Q: Find the area of the region enclosed by the curves y = |x|and y = |x and y = 2 - x².

A: The given curves are use the graphing calculator to make the graph of both curves.

Q: A. The y-intercept of f(x) is and that of f¹(x) is (Type integers or simplified fractions.) B. The…

A: Since inverse of the function has been calculated.Therefore, for both the parts option (B) is not…

Q: The temperature in degrees Celsius on the surface of a metal plate is given by T(x, y), where x and…

A: The temperature in degrees Celsius on the surface of a metal plate is given by T(x,y), where x and y…

Q: Consider f(x) = 8x³+7x² - 2x-11 and 3x + 5 8x + 3 What is f(g(x)) ? g(x) =

A:

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The given function is

Q: 2 x-3 Find the slope of the secant line on the graph of f(x) for each interval: Let f(x) =

A: given function

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A:

Q: The graph below is the function f(x) 5 4 3 02 OF -5 -4 -3 -2 -1 -1 -2 -3 -4 --5 -I--x Find lim f(x)…

A: Find the limit of the given questions.

Q: B. Find the distance from the point (0, 0, 0) to the line: x=5+3t, y = 5+4t, z=-3-5t

A:

Q: 1.) F (s) = 1 (s+1)(s-1)(s)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Consider the curve parametrized by x = t¹ + 1 and y = tổ + 4t5. dy a) Find dx dy dx in terms of t.…

A: Here we will find dy/dx on doing differentiation of x and y with respect to t,

Q: Find the gradient of the function at the given point. Function f(x, y, z)=√√√√x² + y² + z² Vf(7, 3,…

A:

Q: Mykala has deposited​ $5,000 in a bank for 6 years at the interest rate of​ 5% compounded annually.…

A: To calculate how much money Mykala will receive at the end of six years when she has deposited $5000…

Q: The equation z² + y² - x = 0 represents a surface of revolution. Around which axis was the profile…

A: Surface of RevolutionIf the graph of a radius r is revolved about one of the coordinate axis then…

Q: In Problems 7-12, match each of the given differential equations with one or more of these…

A: Since you are asking multiple questions. We are answering only the very first question as per our…

Q: A transport company purchased a truck for ​$79,000.The company depreciated the truck at the end of…

A: To find the value of the truck at the end of the sixth year after it was purchased for $79000 and…

Q: Suppose the derivative of a function fis f'(x) = (x + 2)²(x-4)³(x − 6). On what interval is…

A:

Q: a) for g(t)= t-9/square root t-3 . Make table of values with at least six appropriate inputs to…

A:

Q: 4x³+1 x--∞0 2x³-√16x6+1 d) lim

A: Solution is following in explanation step.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A:

Q: Say whether the function graph below is continuous on [-3,4]. If not, where does it fail to be…

A:

Q: F(x)=12x³-36²-12x²(x-3) An

A:

Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

A: By the answering guidelines of Bartleby, we can answer only first three subparts, Please post other…

Q: Find the volume of the solid generated when the region bounded by y = x³, y = 0, and x=3 is revolved…

A: The cylindrical shells formula for the volume of a solid generated by revolving a region bound by…

Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph…

A:

Q: Use the Second Fundamental Theorem of Calculus to find the derivative of the following function.…

A: To find g'(r)?

Q: Suppose that the price and supply for a certain model of graphing calculator are related by p = S(q)…

A:

Q: Suppose a water tank is to be constructed by rotating the parabola y = ² about the y-axis from x=0…

A: Find the volume of the  water tank rotated about y axis

Q: 8. y' = 2

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Prove that if A is a square matrix, then B = (A +AT) is a symmetric matrix. Here AT denotes the…

A:

Q: TT/3 π/4 dx cos² x tan x

A:

Q: Find a cartesian equation for the curve r² = 4. Equation Use your answer above to graph r² = 4. Y 4…

A:

Q: What are the intercepts of the​ one-to-one function and its inverse​ function?

A:

Q: The limit represents the derivative of some function f at some number a. State such an fand a.…

A: