1) The value of a product (in dollars) increases according to the function v(t) = 2.45e0.032t in the 10-year period after its market inception. a) What is the predicted value of the product 3 years after being in the market? b) How long does it take for the initial value of the product to double?

Q: Evaluate the iterated double 1 6

A: We have to evaluate the given double integration

Q: It takes 10 hours to drain a storage tank by opening the valve at the bottom. The depth y of fluid…

A: Topic = Derivative

Q: b. Evaluate L{sin(at)}. f(t) = sin(at) F(s) = L{sin(at)} = e-st (sin(at))dt е 1 =-=-e-st sin(at) | |…

A: Let's find Laplace by using integration.

Q: The multiflash photograph in the accompanying figure shows two balls falling from rest. The vertical…

A: Given s=490t2We need to find the time taken by balls to fall the first 160cm.

Q: 2. What is the domain? Please find all asymptotes and intercepts. Use your answers to draw a…

A:

Q: If ?M M М?у 1 (А A В А D I -3 (C) y3 3 у 2 ш м при ƏN дх 2 3 what is the Integrating Factor?

A: Given; [del(M)/del(y) - del(N)/del(x)]/M=-3/y.

Q: ग Calculate the partial derivatives and using implicit differentiation of (TU-V)² In (W - UV) = ln…

A:

Q: If √√x + √y = 7 and y(16) = 9, find y' (16) by implicit differentiation. Question Help: Video Submit…

A:

Q: Find f'(x) if f(x) = = f'(x) = sin x. 9 sec x 1+rtant

A:

Q: The height of a cone is increasing at a constant rate of 6 centimeters per minute. The volume…

A:

Q: Find the particular solutions for the following: y² + 1 y dy x dx x² +1 (a) given that y ≥ 0 and y =…

A: The given differential equation is: ydyxdx=y2+1x2+1  To find the particular solution to the given…

Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

A:

Q: 1.) y'= -3x 4c - 2 -3x €²6x + 3€ ³x + 2 ; y(0) = 1

A:

Q: Solve. t 2 + t-1 1+1 ²²-1 Select the correct choice below and, if necessary, fill in th A. The…

A: Given query is to find the value of t.

Q: y X X 250 200 150 VA 100 50 -50 -100 Based on the above graph of f(x), determine the number critical…

A: Consider

Q: In this problem you will use undetermined coefficients to solve the nonhomogeneous equation…

A: We need to solve DE.

Q: Suppose that f(x) = (3x + 4)¹/5. Find f'(x). f'(x) = ||

A: Given query is to find the derivative of the function.

Q: f(x) = √√3x² + 5x + 3

A:

Q: Use basic identities to simplify sin3(x)+cos2(x) sin(x)

A:

Q: Find the derivative of: (972)2. [Hint: expand first.] Now, find the equation of the tangent line to…

A: Given query is there find the derivative and the tangent line to the curve.

Q: Recall the definition of derivatives and find the limit ∙e Use your scientific calculator to find a…

A: NOTE: Refresh your page if you can't see any equations. . substitute

Q: Make a sign diagram for the derivative of the function. = x4 - 8x³ + 18x² = f'(x) ? 0 f(x) increase…

A: Given a function f(x).

Q: Evaluate the integral. √ 15x² dx (x + 1)(x² + 1)

A: To evaluate the following integral.∫15x2 dxx+1x2+1

Q: If f(x) = 5+ Find f'(2). 48 H + 4 2² " find f'(x).

A: Given function f(x).

Q: C webassign.net/wer A table of values for f, g, f', and g' is given. X -8 -7 -6 f(x) g(x) f'(x) -6…

A: Given query is to find indicated derivatives.

Q: Determine the type of DE (select all that applies): dr do +rsece=cose Linear Exact None of these…

A: Given Equation:- drdθ+rsecθ=cosθ

Q: √x-10 lim x-100 x-100 lim x→4 2 x² - 2x-8 x² -16

A:

Q: The 2000 population of a city was 670,000 and was increasing at the rate of 1.51% each year. At that…

A: NOTE: Refresh your page if you can't see any equations. . the population growth function is given by…

Q: Show complete solution and draw the figure The volume of a cube is increasing at the rate of 6 cm^3…

A:

Q: The newton raphson method formula for finding roots is new = x f(x) f'(x) Below is an equation for…

A:

Q: A balloon leaving the ground, 18 m from the observer, rises vertically at a steady rate of 3 m/s.…

A:

Q: Calculate for the standard eq of parabola which opens left or right Vertex (4,4) Passes through (3,…

A:

Q: What is the derivative of y=9√. 4√ ?

A:

Q: Find the solution of the given initial value problem, using the integrating factor method. y′ + 2y…

A:

Q: An ice cube was taken out of the freezer with a temperature of -18°C and place on a glass. The…

A: Given 1. Initial temperature of the ice cube is -18 °C. 2. Temperature of the room is 32 °C. 3.…

Q: 3) Solve the equation ALGEBRAICALLY. Show all steps. 5e4x = 285

A: Given query is to find the value of x.

Q: ← Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward…

A: Given query is to find the value of gs.

Q: Solve the equation by first using a Sum-to-Product Formula. (Enter your answers as a comma-separated…

A:

Q: If f(x) = 25x + 12, find f'(-5).

A:

Q: Let a) Given that In (y) can be written in the form What are the coefficients A, B, C, and D? −3x ¸…

A:

Q: Let f(x) = (x³ + 3x + 8)¹ f'(x) = f'(2) = Question Help: Video Submit Question Jump to Answer

A: f(x)=(x3+3x+8)4

Q: Convert the following rectangular equations into polar equations. (a) x² + y² = 2x r = a cos(0); a=…

A: a) x2+y2=2x To convert rectangular equation to polar, substitute x=rcos(θ) and y=rsin(θ) So, the…

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: The height of the ball launched in the air after t  seconds is given by ft=-16t2+282t+5 We have to…

Q: ay Use implicit differentiation to determine given the equation x5y + cos(x) = e". dx dy dx

A: The given equation is: x5·y4+cosx=ey   As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: Simplify completely. Assume all variables represent positive values. (25/7) 2/3 a) Write the…

A:

Q: Given the equation below, find dy dx 3x6 (21-4a³y) x12 + 2y³ y = dy dx -18x² + 2x¹²y + y² : - 15…

A:

Q: Find dy/dx. dy dx x=√t y = 4-t

A: To find the derivative of given function.

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A:

Q: 3n^3-4n^2+9n-12

A: See the answer below

Q: Determine the required integrating factor y dx + (2x+1-xy) dy=0 xe O 0x²e-x -X ye O2-y

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…