The function w gives a person's weight t weeks after she begins a diet. Write a sentence of interpretation for each of the following statements. w(0) 187 and w(12) 160 (a) pounds. After weeks on the diet, that person weighed At the beginning of a diet, a person weighed pounds. w'(1) 3 and w'(9) = -1 (b) pound(s) per week. After 9 weeks on the diet, the person's weight was-Select-by pound(s) per week. After one week on the diet, the person's weight wasSelect- v by dw (c) = 0 and dw =0.5 dt t 15 t 12 After 12 weeks on the diet, the person's weight wasSelect weeks on the diet, the person's weight wasSelect pounds per week. After by (d) Sketch a possible graph of w w(t) w(t) 187 187 160 160 12 15 12 15 w(t w(t) 187 187 160 160 12 15 12 15

Q: Can you help me step by step with this problem?

A: To determine the function f(x) such that h(x) = (fog)(x).

Q: Consider the given curves to do the following.y = 5 sqrt(x), y = 0, x = 1Use the method of cylindric...

A: Given,

Q: I need help with Calculus HW. I need to differentiate problem #25 on page 188, Section 3.2, of the J...

A: Given, 

Q: oM Differential Equation Show a complete solution ySy 13yty =0

A: Consider the given homogeneous equation.

Q: Use the bisection method three times to approximate the zero of f(x) = x2+ 5x - 10 on the interval (...

A: The given function is f (x) = x2+5x–10 and the interval is (0,12).1st iteration:Consider 0 as a and ...

Q: Differentiate the following function: VF-3VF u =

A: Given,

Q: See attachment

A: Given,

Q: See attached

A: (a)

Q: Find the derivative of the function. State which differentiation rule(s) you used to find the deriva...

A: First write the expression with exponent (for the rational part)

Q: A rock is dropped from a height of 64ft. Its height above ground at time t seconds later is given by...

A: Consider the model function that represents the height above the ground as s(t) = –16t2+64, where 0≤...

Q: Suppose the line tangent to the graph of f at x 3 is y 6x 5 and suppose y 2x - 2 is the line tangent...

A: The tangent line to the graph of f at the point x=3 is y = 6x + 5 and the tangent line the graph of ...

Q: Find the arc length function for the curve y = 2x3/2with starting point P0(36, 432).

A: Given, function

Q: Find the inverse of f(x)=3x+2/−2x−4 f−1(x)=

A: The given function is

Q: Find the points on the cone  z2 = x2 + y2  that are closest to the point  (2, 2, 0).   (x, y, z)...

A: Given,

Q: See attachment

A: The formula for finding the amount is as follows.

Q: Explain why the system cannot be solved by matrix inverse methods. Discuss methods that could be use...

A: a) First try to solve the given system by inverse method.Given system of linear equations,

Q: See attachment

A: For x intercept we plug y=0 and find x=?Answer: x intercepts= -3 , 1 ,3

Q: See attachment

A: To calculate the trigonometric ratios of the given angle with the given position vector

Q: see attached

A: The given function is y = (3/4)sinπx which is in the form of y = asin(bx).Here, a = 3/4 and b = π .C...

Q: See attachment

A: Given,

Q: See attachment

A: Given,

Q: ONLY PART 1.d PLEASE Tangent Lines and Derivative Definition AND QUESTIONS 2 AND 3 Let f(x)x29 a FTd...

A: As per our policy I am going to solve 1.d and for question number 2 and 3 please post the question a...

Q: See attachment

A: Calculation:Solve the given inequality as follows.

Q: see attachment

A: The given equations are as following:

Q: Please see attached

A: A cube with side 14 inch is covered with coat of fiber glass of thickness 0.5 inch. Use differentiat...

Q: See attachment

A: 1). It is the graph of 

Q: i know the area is 4 and I think that the formula that I need to use to solve is x^2+y^2=4 I am just...

A: We are given that a triangle is inscribed inside a semi-circle of radius 2. We need to find the maxi...

Q: Let F f+g, where the graphs of f and g are shown in the figure to the right. Find the following deri...

A: It is known that, the slope of the function at a point is equal to the derivative of the function at...

Q: See attachment

A: Subpart (a)Consider the functions

Q: see attachment

A: Consider the given function: 

Q: See attachment

A: a)Find the value of sin2 θ

Q: A lump sum of $1000 is invested at 4.5% compounded continuously. (a) Write the function for the mode...

A: From the given information, the initial amount is $1000 and interest rate is 4.5% or 0.045.(a)Obtain...

Q: see attachment

A: The equation is given by,

Q: lim sin2x/ x            x--->0 lim tanx/tan2x       x---->0

A: Multiplied the numerator and denominator by 2When x->0 then 2x->0Answer: 2

Q: Please see attached

A: a)To find the derivative of f(x) , we use the result that derivative of x^n is n*x^(n-1)

Q: See attachment

A: Observe the first graph.

Q: Зх + 4 Calculate the derivative of f(x) 7x - 5 0. Give an exact answer in decimal form at x = f'(0) ...

A: The given function is

Q: Find the domain of the function. (Enter your answer using interval notation.)

A: Note that the value of the given function does not exist at the point x = 7. Also the known fact is ...

Q: The average surcharge for non-account holders who use an ATM can be modeled as 0.004x3 - 0.061x2 0.2...

A: Given the average surcharge is

Q: See attachment

A: Given,

Q: differentiate 2t/2+t1/2

A: For the obvious reasons, the expression in the question has lost formatting.I am sure you are lookin...

Q: Please see the attached problem. Thanks!

A: We differentiate both sides. Answer: dN=(50-2x)dx

Q: See attachment

A: To determine the solution inequality and plot it on the number line.

Q: See attachment

A: Given Rachel deposited $4000 with 5.1% interest compounded monthly.To find the amount that Rachel wi...

Q: Please answer 14,15 and show the step

A: We’ll answer the first question that is 14th question since the exact one wasn’t specified. Please s...

Q: lim x yields to 1  x-1/(square root of 4x +5)-3

A: As the given limit is not legible, the limit is computed in 2 cases. Obtain the limit as follows.

Q: Can you help me step by step with this problem?

A: Differentiate both sides w.r.t. x.And for addition we can apply the derivative separately on both te...

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the regi...

A:

Q: See attachment

A: If in the function of a graph, f(-x) = f(x) then the graph is symmetric about y axis.If in the funct...

Q: See attached

A: Given,           Amplitude = 16 m           Period = 8 minutes.           Since,  at t = 0 its displ...