Assuming annual​ compounding, find how long it would take for the general level of prices to double at the following annual inflation rates.   a. 1​%            b. 6​%            c. 8​%

Q: Use the chain rule to find (∂z/∂s) and (∂z/∂t). z = ex+2y, x = s/t, y = t/s

A:

Q: An individual has $45,000 to invest: $32,000 will be put into a low-risk mutual fund averaging 6.1%…

A:

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

A:

Q: Find the constant a such that the function is continuous on the entire real line. x ≥ 1 x < 1 a =…

A:

Q: Find Vf at the given point. 3 2 f(x,y,z) = x² + y² - 2z² + z lnx, 222 (1,5,1)

A:

Q: The demand for a new computer game can be modeled by p(x)=59.5-8 Inx, for 0≤x≤ 800, where p(x) is…

A:

Q: Sodium chlorate crystals are easy to grow in the shape of a cube by allowing a solution of water and…

A:

Q: An object moves along the y axis (scale in feet) so that at time x (in seconds) it is at f(x) = -5x²…

A: Topic = Application of derivative Correct Option = d

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: Note : As per our guidelines we are supposed to answer only first three subparts if there are…

Q: Determine the derivative of f(x) = 2-3-52³ In 3. 1. f'(x) = 6.3¹–¹ – 15x² In 3 2. f'(x) = (2.3ª –…

A: f(x)=2.3x-5x3ln3d dx(ax)=axlnad dx(xn)=nxn-1

Q: 3. A car decelerates with an acceleration of a(t)= )=-15 , assume v(0) = 60% and s(0)=0. Find the…

A: Position

Q: Given the input-output matrix below, find the output matrix if final demand changes to 600 for…

A:

Q: Find the derivative of the function. y = 3√x

A:

Q: Find the area enclosed by the curve r = 4(1 + cos(0)).

A:

Q: Use linearization to approximate ln(2.5)

A: Given: Use linearization to approximate ln(2.5)

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A:

Q: Answer as directed. Show complete and neat solution. 1. Using the definition of derivative, find the…

A: Note:- Since you asked multiple questions as per our policy we can solve first question for you…

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. & 1² (520 - €) 30 dt =…

A:

Q: d) d -8 dx (9x²-4x)³

A: Given query is to find the derivative.

Q: 5. y=x²-2x, y=x about y = 4

A: Volume

Q: 9. Evaluate the discriminant and determine the number and type of solutions of the equation.…

A: As we know that, For the quadratic equation, ax2+bx+c=0 1). has no real solution or two imaginary…

Q: 1. Evaluate the following limits lim x R X-2 a. b. lim C. 2-10 200 6 1²-9 lim X-3 X-3

A:

Q: A company produces a special new type of TV. The company has fixed costs of ​$470,000​, and it costs…

A: Given a company produces a special new type of TV. The company has fixed costs of FC=$470,000 and it…

Q: O 8 -00 8 x² - 2x X lim x → 2- x² - 4x + 4 X→2¯

A:

Q: If A → →→→ = 2i-j+ → A+B-C = i +7-4k what is ? → kB=i+3j-2kand

A:

Q: The general solution of (D4 -2D³ -5D² +6D)y=0is -3.x a. y=C₁e* +C₂e-³x + С₂е²x + C₂ 3.x -2.x c.…

A: Given : D4-2D3-5D2+6Dy=0

Q: 10. Use implicit differentiation to find an equation of the tangent line to the ellipse 2 (1,5) + 50…

A: Given query is to find equation of the tangent line.

Q: Show

A:

Q: Determine the location and value of the absolute extreme values off on the given interval, if they…

A:

Q: Find the derivative of f when f(0) In (cos 60). = 1. f' (0) 2. ƒ' (0) 3. f' (0) = = 4. ƒ' (0) 5. f'…

A: given  f(θ)=lncos6θd dθ(cosθ)=-sinθd dθ(lnθ)=1θsinθcosθ=tanθ

Q: Calculate the Taylor polynomials ?2 and ?3 centered at ?=3 for the function ?(?)=?4−7?

A: We will calculate the Taylor Polynomial .

Q: The area of a rectangle with one of its sides s is : A(s) = 7s2. What is the rate of change of the…

A:

Q: 158. The position function s(t) = t³ - 8t gives the position in miles of a freight train where east…

A:

Q: A street light is mounted at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the…

A:

Q: Find the derivative of H when and H(x) = (f(x))² – (g(x))² f'(x) = 8 g(x), g'(x) = 5 f(x). 1. H'(x)…

A:

Q: Set up and evaluate an integral to find the area under f(t) = answer and an approximation to four…

A: To set up and to evaluate an integral to find the area under ft=3 lntt for 1≤t≤4.

Q: Evaluate / xdA where R is the rectangle: −1≤ x ≤ 3, 2≤y≤5. -1 A. 3 B. 6 C. 10 D. 12 E. 15

A: Given that ∬RxdA , where R is the rectangle: -1≤x≤3,2≤y≤5

Q: C- Find: fog(x), gof(x), IF 1 f(x)= gof(x), IF f(x)=√2+2 9 g(x)=x²-6

A:

Q: The tank in the form of a right-circular cone of radius 8 feet and height 15 feet standing on its…

A:

Q: For a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B is…

A:

Q: Let f(x) = x³ − 4x² + 2x − 8. Find the open intervals on which f is concave up (down). Then…

A: f(x)=x3-4x2+2x-8for inflection points f''(x)=0d dx(xn)=nxn-1if f''(x)&gt;0, than concave upif…

Q: Find all exact solutions to the following trigonometric equation for on the interval [0, 2π]. Show…

A: To solve the given trigonometric equation

Q: Use any method to find the volume generated by rotating the region bounded by the given curves about…

A:

Q: The function f has a removable discontinuity at x=7, then which of the following statements must be…

A:

Q: (c) Is f differentiable at x = 1? 4. (a) Show that the equation of the tangent line graph of the…

A: We can solve it as follows

Q: 53. The top of a ladder slides down a vertical wall at a rate of 0.15m/s. At the moment when the…

A:

Q: Find the derivative of the function at Po in the direction of u. x-y xy +3' g(x,y)= Po(-1,2), u=5i +…

A:

Q: 3. A company spends x thousand dollars per week on online advertising and y thousand dollars per…

A: We will find the required.

Q: 1 Tina flies a kite with a 100 foot string. The angle of elevation the kite? of the string is 52°.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Find the slope of the graph of the function f(x) = 9x² - 4x5 at x = -1. Show your work using the…

A: