1 if x > 0 - 1 if x < 0 c. Find the domain and range of f. Let f(x) = .a. Find f(-16) and f(14). b. Sketch the graph of y = f(x).

Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: From the given graph

Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

A:

Q: The graph of f(w) = 9 is given below. 10- 8 6 5 4 -4-3 -2 -1 3 1 2 3 4 5 6 7 8 9 Determine the…

A:

Q: Note that: An interior point of the domain of a function f where f' is zero or undefined is a…

A:

Q: Find the cost function for the marginal cost function. C'(x) = 0.07e0.05x; fixed cost is $7 C(x) =

A:

Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

A:

Q: √(x ³ ex² + 4x + ex¹ +4x) dx.

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

Q: Find the area of the shaded region. r = 4 + 3 sin(0) -5 y 5 -5 5 -X i

A: The region is bounded by the curve The given graph of the region

Q: Suppose that we're making and selling some widget and the profit (in dollars) when making a widgets…

A:

Q: 4. Find the derivative of the following functions: a. y = x² sin x b. y = ex cos x 3 c. y = (x² + 1)…

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: The function C(t)=C0(1+r)t models the rise in the cost of a product that has a cost of C0 today,…

A:

Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: Find the indefinite integral of the function g(x)=e^(2x) sin(3x)dx

A: The objective of this question is to find the indefinite integral of the function g(x) = e^(2x)…

Q: you alos calculate the following

A:

Q: 1. For the function g(x) graphed here, find the following limits or explain why they do not exist.…

A:

Q: S dx x+7 2x-3

A: To solve the following integral.

Q: ellipse: ² + ² = 1 4 Given the ellipse: (a) Find the coordinates of the center of the ellipse (a)…

A:

Q: 1. The general solution of the system [x' = y, y' is given by x(t) = C₁ cost + C₂ sint, y(t) = C₁…

A: x'= y..........(1)y'= -x.........(2)

Q: Evaluate the integral: √16x² 8x² O x = 16 tan(0) Ox = 4 sin(0) Ox= 16 sec (0) Ox= 16 sin(0) 0x = 4…

A:

Q: The domain of f(x, y) is the xy-plane, and values of f are given in the table below. Find fe grad…

A: To find the line integral of a scalar field f(x,y) over a curve C, the general formula is:Segra…

Q: Find the second derivative of the following functions: a. f(x) = x5 + sin x b. f(x) = x² + == x c.…

A:

Q: Find the Derivative and the Line Tangent to a Curve at a Point. 2 (-2x - 3)² Given that R(x) R'(x)…

A:

Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

Q: Compute the indefinite integral of the following function. r(t) = te'i +t² cos t³j 3 4t 4 k Select…

A:

Q: Find the limit of the sequence: 5n²+8n+3 3n² + 8n +7 an

A:

Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

Q: Find the point on the curvey=+x where the tangent is parallel to the line y = x.

A: The slopes of parallel lines are equal.

Q: Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is…

A: Suppose  is a function with continuous derivatives, and that .To find the Taylor polynomial of…

Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

A: The graph of the function g(x) is shown as,Since parts a to c are already solved in original…

Q: Express the given repeated decimal as a ratio of two integers. 0.760760760760...

A:

Q: 57. Orbital Launches In 2012 there was a total of 78 commercial and noncommercial orbital launches…

A: In 2012 there was a total of 78 commerecial and noncommerecial orbital launches worldwide. In…

Q: Evaluate ∫∫∫E 1/(x^2+y^2+z^2 )dV where E lines between the spheres x^2+y^2+z^2=4 and x^2+y^2+z^2=16…

A:

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: from the given table

Q: Suppose that we're setting up a wireless data network for a small municipality. The local ISP wants…

A: The given cost function is

Q: 3. Which of the following statements about the function y = f(x) graphed here are true, and which…

A:

Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

A:

Q: Find the mass of a lamina bounded by y=5√x,x=9,and y=0 with the density function σ(x,y)=x+1

A:

Q: Two cylinders are given. The larger cylinder is a dilation of the smaller cylinder. Part A:…

A: Smaller length = 2mLarger length = 9mVolume of the smaller cylinder = 24 pi m3

Q: Solve the following initial value problem. dr dy = x3 / x5, y(0) = 0 y =ㅁ

A: To solve the following initial value problem.

Q: This problem tests calculating new functions from old ones: From the table below calculate the…

A: The table value of the function and derivative functions are given.The aim is to find the  .

Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: L³₂x³dx -2 2 1 x+0.5 dx

A:

Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

A:

Q: Use the right Triangle below to identify the following trigonometric values. Please can I get the…

A:

Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

A:

Q: Problem #4: Beginning now at time t = 0 in years, the number of mice in a population of mice is…

A:

Q: Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a…

A: We have to find the dimensions of the building that will result in a minimal annual heating and…

Q: 1. Use the Limit Comparison Test to determine whether the series below converges or diverges. List…

A:

Q: 2. Show that the series converges by the Alternating Series Test (two conditions). Then find how…

A: The given series is

Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is