The total amount of money in circulation for the years 1990-2012 can be closely approximated by M(t) = 0.05027t - 1.122t + 38.36t + 247.4, where t represents the number of years since 1990 and M(t) is in billions of dollars. Find the derivative of M(t) and use it to find the rate of change of money in circulation in the following years. а. 1992 c. 2007 e. What do vour answers in parts a-d tell vou about the amount of money in circulation in those vears? b. 2000 d. 2008

Q: 4 3. A child wishes to color each of the six states on a map as shown. What is the minimum number of...

A:

Q: A particle is moving in the velocity of v(t) = . Find the torsion of the particle's movement. Leave ...

A:

Q: Evaluate the integral. csch (in x) coth (Inx) 7x A) 7 sech (In x) + c B) x csch (In x) + c © 2 csch ...

A:

Q: 3) (use DiSk Methad) Fnd the volur Solid genecated by revoluing the bay. the Sraphs Of the equatons ...

A: solution:-the region bounded byxy=3, y=1, y=4, and x=5 revolving about the line x=5using the Disk me...

Q: 10) 3 (sin y-cos y)*dy COS COS Y

A: A detailed solution is given below

Q: Find * of the following implicit functions. 11. In y = e' sin x

A:

Q: Determine if lim f (x) = f(c). Write YES if limf(x) = f(c), otherwise NO. Show your proof 1. f(x) = ...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: - Find y for the following: y" – 9y = 6x*e 3* – 2e-2*sin (9x)

A:

Q: 5. f(x) = 2x² – x + 6 for all values of x 6. f(x) = 5 at x = 2 х-2

A: 5. f(x)=2x2-x+6 for all values of x6. f(x)=5x-2 at x=2

Q: Find the first partial derivatives of the function. f(x, t) = Vx In(t) 1 cln(t) 2Vx fx(X, t) fe(x, t...

A:

Q: . Find the length of a radius of a circle with a central angle of 3pi/5 and an arc length of 24pi/5.

A:

Q: If f(1) = 5 and f'(x) > 2 for 1< x < 6, then the smallest value of f(6) would be

A:

Q: Evaluate the double integral. xy dA; R R is the region in the first quadrant enclosed by y = Vx,y = ...

A: Region in the first quadrant enclosed by y=x, y=6-x and y=0

Q: 3- 5V+811 lim -00 2/2+2-162 t3-5v

A: After initial observation, I can see there is difference of variable in the limit 'x' and variable i...

Q: S Find the voleime of the solid generated by revolving the region baunded by the given lines Cnd cur...

A: Hint: Try Disk Method to find the volume.

Q: a) f(x) is a polynomial function. If f'(x) has a degree of 7, what is the degree of f(x)? b) Write a...

A:

Q: 4 5 -4 -3 -2 -1 -3 -4 Find the magnitude and angle (in degrees, 0° < 0 < 360°) of the vector shown a...

A: Let a vector v→ is given at position &lt;a,b&gt;. Them its magnitude |v→|= a2+b2 and its angle θ=tan...

Q: coth (7x - 3) + C B) tanh (7x - 3) +c I sech? (7x - 3) + C tanh (7x - 3) + C

A:

Q: Which of the following series are alternating series? (Hint: It may be helpful to calculate the firs...

A: Let's find. 

Q: Let f(x) = V43 – ¤ %3D The slope of the tangent line to the graph of f(x) at the point (7, 6) is The...

A:

Q: Your parents are considering a 30 year $100,000 mortgage that charges 0.5% interest each month.Formu...

A: Given  P= 100000 r= 0.5% n = 360

Q: Integration by Substitution the integrals

A: Topic:- integration

Q: Consider the following table of values of f(r) = e". %3D 0.0 0.2 0.6 f(x) 1.0 1.22140 1.82212 (a) Ap...

A:

Q: Find the surface area of the volume generated when of y = x3, on the interval [0, 1], is revolved ab...

A: We have to find the surface area of the volume generated by the curve by rotating about the y axis.

Q: Find the slope of the tangent line to the graph of the given function at the given value of x 1/2 3/...

A:

Q: Determine the limits of the following using the table of values 1. lim 3x 2. lim (x2 – 1) x→ー1 3. li...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: A person starts walking from home and walks: 5 miles East 4 miles Southeast 3 miles South 3 miles So...

A:

Q: A spot light is on the ground 20 ft away from a wall and a 6 ft tall person is walking towards the w...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

A:

Q: The following two functions represent the value of two stocks. G(t) represents the value of GeniusMa...

A:

Q: Find the length of the curve y = x3/2 from x = 0 to x = 3.

A:

Q: 10. S- 6x2-17х+25 -dx (х-1)(х-2)(*-3)

A: To solve:I=∫6x2-17x+25(x-1)(x-2)(x-3)dxNow,we need to first simplify the given expression,Let,6x2-17...

Q: find the solution of this differential equation (x + 2y − 1)dx + (2x + 4y − 3)dy = 0

A:

Q: 1. Find the first derivative of the function g(x) = 6x+ 27r'+36x. g'(x) 18x + 54r +36 2. Find the se...

A:

Q: The rate (in mg carbon/m/h) at which photosynthesis takes place for a species of phytoplankton is mo...

A:

Q: Sketch the region enclosed by y = 3x and y 5x2. Find the area of the region.

A: The region is enclosed by y=3x and y=5x2

Q: Find the antiderivatives or integral of each of the following: let u= Jsech*2tdit du=

A:

Q: 4. Integrate: 5dx dx a) f b) [ c) f- 1 dx; d) x' V16-x? 1+ cosx cos x

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: Show that (sec x) = sec x tan x. dx Note: You may assume it is known that (sin x) = cos x and :(cos ...

A:

Q: tanx dr 7.

A:

Q: . Find a formula for the inverse of the function and show that fif'(x))=f'(fx)). 4х-1 a. y = V10-3x ...

A:  Note: - “Since you have posted a question with multiple sub-parts, we will solve the first three su...

Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy – 2y + 4)dx +x(2x + 2...

A: First we making exact differential equation then find solution. 

Q: y’ = 3x^2e-y   solve

A:

Q: Use the given conditions to write an equation for the line in point-slope form and general form. Pas...

A:

Q: Next question If a function s(t) gives the position of an object at time t, the derivative gives the...

A:

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About th...

A: Here, we need to find the volume of the solid generated by revolving the shaded region about the y -...

Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x %3D 00 f(x) =...

A:

Q: 6+ 4- -4 -3 -2 -7 4 18z For the above rational function f(xH identify its three inflection points. [...

A:

Q: One of the methods discussed in Chapter 2 leads to a solution of the following first order different...

A:

Q: For the following functions y = f (x), find f ′ (a). f (x) = 3x2 − x + 2,      a = 2

A: Given:        f(x) = 3x2-x+2    Differentiating with respect to x, we get       f'(x) = ddx3x2-x+2  ...