17) Draw the graph of a function K(m), such that S К (т) dm <0, and S, К (т) dm > о

Q: Suppose that g is a continuous function. Find the general solution of y" – y = g(t).

A:

Q: Two equivalent forms of the Chain Rule for calculating the de-rivative of y = f(g(x)) are presented…

A: Given, if y=fx and u=gx then the derivative of their composition can be expressed as

Q: 9.6 function by Using TMR enoits aut Graph Following J- Co (x+2)

A: Given: y=cosx+90° To find: Graphical representation.

Q: 7-The tangent of the curve x^2+y^2- 2xy3D0 at the point (1,1), is * O a. y=2-x. O b. y=x-2. C.…

A: We find equation of tangent to the curve

Q: 4. 1. Let f(x) = (sinx)*tan(1 – x)e30x. Find the maximum of f(x) in [0,1] and ɛ = 0.05. (by handly…

A: Given: fx=sinx6tan1-xe30x. We have to find the maximum of fx in 0,1.

Q: 4. Determine the maximum point of the the graph of y = 12 sin(π – 2x), for x = [-T, T).

A: Given:         y=1-2sinπ-2x     To get the maximum value of the function the derivative is equal…

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A: Note: Since you have posted a question with two subparts, we will solve the first part for you.…

Q: 3t If the moment-generating function of X is M(t) = e, then the moment-generating function of Y=1+-X…

A: The provided information is: The moment generating function of X is given blown:

Q: 17. Suppose the radius r, height h, and volume V of a cylinder are functions of time t, and further…

A:

Q: 11

A: Condition:

Q: Suppose we wish to compute the value of the continuous function f(x) for a given value of x. This is…

A: Solution: Explanation of equation (7.117) in the book: Given y=fx    ......(1) Now, (in the book)…

Q: (ii) Make a graph of- dw versus t. dt 15 15 10 10 dWidt dWidt 5 10 20 30 40 10 20 30 40 time time -6…

A:

Q: Suppose that we were to model a continuous income stream using the function f(t)=t2 / (t-1)(t+1) for…

A: The function that models a continuous income stream is

Q: 1 8 (b) Determine the exact locations of the critical number of the function r(x) 3 х — 4

A: As per our guidelines we are supposed to answer only one question.* *Kindly repost other question as…

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above…

A:

Q: 4. Find the general form of the function that satisfies dP/dt = -3P(t).

A: A separable differential equation can be solved by separating the terms in each variable and…

Q: 7  please answer, type the solution if you can please. or write clearly

A:

Q: 4. A company possesses a major piece of equipment that denigrates at a continuous rate f = f(t),…

A: (a) Let F(t) be an antiderivative of f(s) Mathematically, it means: F'(s) = f(s) By Fundamental…

Q: 1. Find the critical numbers of the following function. f(x) = x-v*(x – 2)

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Q: 4. 1. Let f (x) = (sinx)ʻtan(1 – x)e30x. Find the maximum of f(x) in [0,1] and & = 0.05. (by handly…

A: We will use Newton's method of optimization to find the maximum value of f(x)

Q: If Σ α An diverges then E ca can diverges only if c > 0 only if c < 0 only if c+ 0 for any real…

A: Given, ∑an diverges then find for which values of c, ∑can diverges.

Q: 4. A company possesses a major piece of equipment that denigrates at a continuous rate f =f(t),…

A:

Q: 1 The equations of the vertical asymptotes of the function with rule f (0) = are: 1+ cose

A:

Q: suppose that y is an implicit function f(x) defined by the equation x^3 + y^3 = 8xy − 7. find the…

A: suppose that y is an implicit function f(x) defined by the equationx3+y3=8xy−7. find the equation of…

Q: Sketch the graph over the given interval, with all transition points indicated:   y = sin x + cos x,…

A: Consider the function: y=sin x+cos x. Plot the graph of function y=sin x+cos x over the interval…

Q: 2. Give an example of a regulated function f on [0, 1] such that f(x) > 0 for all æ e (0, 1), So…

A:

Q: 1 Let H(s) Using convolution to find h(t) s2 (s-a)

A: Inverse Laplace transferom

Q: find the values of C1 and C2 so that the given functions will satisfy the prescribed initial…

A:

Q: Determine the GINI Index of Country X whose Lorenz curve is f(x) =;x² +÷x*. If Country Z 3 has a…

A: The Lorenz curve  of country X is f(x)=12x2+12x4. The GINI index  of a certain country with Lorenz…

Q: 8 Ay 10- f(x) dx using Compute the following estimate of 8- the graph in the figure. 6- S(4) 4- 2-

A: The given graph is  To find ∫08fxdx using Simpson's Rule with n=4

Q: 13.Find a sinusoidal function with a maximum value of 9 that occurs at x=4 , and a minimum value of…

A:

Q: A governmental agency determines that the Lorentz curves for the distribution of income for dentists…

A:

Q: 1. Identify all the x-values of the candidates for where you might find an absolute maximum or…

A:

Q: sketch the graph over the given interval, with all transition points indicated. y = x + sin x, [0,…

A:

Q: Example 8.19. Use Romberg's method to compute dx 1 + x² correct to 4 decimal places.

A: Let y = 11+x2  and let I = ∫01dx1+x2take h = 0.5 =12The tabulated values of y are   x0 x1 x2 x…

Q: 12. If z = 2xy – 3x²y and x is increasing at 2 cm/s, determine at what rate y must be changing in…

A:

Q: Based on a study, the Lorenz curves for the distribution of incomes for bankers and actuaries are…

A: Given: Lorenz curve for the distribution of incomes for bankers, fx=110x+910x3. Lorenz curve for…

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = x−1, [2,…

A:

Q: The graph of f"(x), the second derivative of f, is shown below. If the point (4, f(4)) is a critical…

A:

Q: On the interval x∈(1,2), the curve y=x^3−6x^2+9x+1 is. decreasing and concave down horizontal…

A: Option A is correct..

Q: 1. Find the optium path for f=xy³ from (2,1,2)

A:

Q: 5x−12/x^2−x−42 has vertical asymptote(s) at x=

A:

Q: 5) a) Compute Ko for the function f0=V+X by using the de finition of the deniratire, b) Find the…

A:

Q: Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY

A:

Q: 2. The Lorenz curve of a particular society is given by L(x) = Ax? + Bx. %3D Suppose that the…

A: We will use given values in Lorenz curve and Gini index to create equations for A and B , Then solve…

Q: 9. An equation of the line normal to the graph of f(x)=, at (1,–1) is (a) 2x - y -3 -0 (b) 2x + y…

A: Explanation: Given that  f(x)=xx-2 at (1,-1)   Concept Used: To find the normal firstly find the…

Q: Which of the following graphs is the slope field for dx 12 -3-211. s 2 13 US 111-2-/35 1112 111²-111…

A: Here we have to solve the given differential equation and plot the solution

Q: A company determines that the marginal revenue, R' , of selling the xth unit of its product is given…

A: The revenue function is calculated by integrating the marginal revenue function. It is known that ln…

Q: 3. Consider the function f(x) = r - 1+x 1- a. Explain why, when evaluated in a floating point…

A: