Write and find the general solution of the differential equation that models the verbal statement. Evaluate the solution at the specified value of the independent variable. The rate of change of P is proportional to P. When t = 0, P = 4,000 and 2,600. What is the value of P whent = 4? %3D when t = 1, P = %3D %3D Write the differential equation. (Use k for the constant of proportionality.) dP dt Solve the differential equation. P = Evaluate the solution at the specified value of the independent variable. (Round your answer to three decimal places.)

Q: I need to see the steps on how to solve please. Please and thank you!

A:

Q: Please show step on how to solve

A: Given: I=∫25499xdx we know that ∫xndx=xn+1n+1+c

Q: 6. Let the functions u and v be defined as follows: 12 u(z) = f(z)g(r) v(x) = 9(x) 10 and 8 Note tha...

A:

Q: Solve fast please

A:

Q: Let f(x) = 2 – |2x – 1|. Show directly that there is no value of c in the interval (0, 3) so that f'...

A: Given  fx=2−|−1+2x|                 -------(1) f'c=f3-f03-0                             --------(2)

Q: MY NOTES ASK YOU Find the consumer and producer surpluses by using the demand and supply functions, ...

A: The equilibrium point is where the surplus and demand functions are equal. Here, p=1035-25x   [Deman...

Q: 5. Find the dimensions of the rectangle in the figure shown below that will give the maximum rectang...

A: let's assume length of rectangle is yfeet now, equating perimeterP of given figure with 12feet so, P...

Q: Find an equation of the tangent line to the following curve at the given point. y = eX cos TX, (0, 1...

A: Given,          y=e9xcosπx ; 0,1

Q: Use the data for males shown in the given bar graph to solve this exercise: a. Let x represent the n...

A: Suppose x be the number of birth years after 1960 and be the male life expectancy. First, write the ...

Q: Find the domain of the vector function r(t) = (sqrt(25-t^2),e^(-2t),ln(t+3))

A: Given:        r(t)=⟨25−t2,e−2t,ln(t+3)⟩

Q: Match the points labeled on the curve below with the given slopes in the following table. A B slope ...

A: The given graph:  

Q: Consider the function f(x) = (x- 3)-2. a) Show that there is no value c in the interval (0, 5) such ...

A: Given that, f(x)=x-3-2       ...(1)

Q: • Solve for the value of "C" on the given differential equation below. Let y(1)=1 9( y - x² )dx + xd...

A:

Q: I need to see the steps on how to solve please. Please and thank you!

A:

Q: Calculus Question

A: Given: f'x=x4-16x3+91x2-216x+180 To Find: i. Inflection Point(ii). Interval of concavity Concept: se...

Q: Find the point on the graph of f(x) = 4 - x2 that is closest to the point (0,1).

A: We have the given curve as y=4-x2 Let a point x, 4-x2 over the curve y=4-x2. Now the distance betwee...

Q: I need to see the steps on how to solve please. Please and thank you!

A: Given: -2+23i

Q: For f(x) = 2x4 - 4x2 + 1 find the open intervals in which the function is increasing and decreasing....

A: Given function is fx=2x4-4x2+1

Q: If you want to earn 7% annual simple interest on an investment, how much should you pay for a note t...

A: Simple interest: Rate=r=7% Interest =I t=2 months= We know I=Prt P=15500.00

Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. P(2, ...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: For which value of b, the differential equation (e*siny + bx²y²)dx + (e*cosy + x³y)dy = 0 is an exac...

A:

Q: Evaluate the following integral. ∫(3 cosx - 4 sinx)dx

A:

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y,...

A: Area between curves f(x) and g(x) on [a, b] is, A=∫abf(x)-g(x)dx Where f(x) is upper curve and g(x) ...

Q: Use Fundamental Theorem of Calculus to find the shaded area R. Note: Area is always positive. You wi...

A: Given: The shaded area R is as follows;  

Q: Consider the following function. Vx. (1, 1) (a) Find an equation of the tangent line to the graph of...

A: the given function is f(x)=x. we have to find the equation of the tangent line to the graph of f at ...

Q: I need to see the steps on how to solve please. Please and thank you!

A: Given,           z=53+5i     We know that,          The polar form of a complex numbe z=a+ib is give...

Q: Find the solution of  yn+6y'+9y=150e2t with y(0)= 7 and y'(0)=9

A: Differential eq: y''+6y'+9y=150e2t   ; y(0)=7, y'(0)=9. The complementary function is  m2+6m+9=0

Q: find the integral of (x+1)√(x^2+2x)

A:

Q: sQ"(x) – 3Q'(x) + 2Q(x) = 0, Q(0) = 1, Q'(0) = 2 %3D

A: Q''(x)-3Q'(x)+2Q(x)=0,   Q(0)=1, and Q'(0)=2 given differential equation is of second order. So its ...

Q: Solve it quickly please

A:

Q: A rancher has 300 feet of fencing to enclose a rectangular pasture bordered on one side of the river...

A: Given that: A rancher has 300 feet of fencing to enclose a rectangular pasture bordered on one side ...

Q: Help solve step by step

A:

Q: Show that y = 5x2 + 2 is a solution to the DE xy' +(2)/(5) y" = 2y.

A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y    

Q: I need to see the steps on how to solve please. Please and thank you!

A: The cartesian coordinate is given, x=-2 We have to convert it into polar form x=rcosθ  y=rsinθ