Write an exponential decay model with A (t) representing the amount of Iodine-125 remaining in the tumor after t days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c* In (t).

Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y y -1 -1…

A:

Q: Given set A = {1, 2, 3, 4, 5, 6, 7, 8, 9) and set B = {1,4, 9, 16, 25), what is AUB? Review the…

A:

Q: ← The table shows projections of sales (in billions of dollars) of hepatitis C treatments for a…

A: Given data:-   Year Sales 2012 4.3 2013 4.4 2014 6.5 2015 8.1 2016 9.8

Q: find the differential equations of every families of curves given. complete solution  1. all…

A: I have solution in detail...go through the solution

Q: Find the polar form for zw, z/w and 1/2 where: z = 2(1 + i), w = 3(1+√3i)

A:

Q: -3x++4+5x7 -6

A: Given query is to find the soluof the expression.

Q: 5 Spending on travel and tourism (in billions of dollars) for the years 1991-2009 is given in the…

A: Concept: Power function: A function having a single term that is the sum of a real number, a…

Q: Which derivative rule(s) were used to develop: "So rate of change of average cost is given by A'(x)…

A: Let's solve.

Q: 3) In the Mickey Mouse Fractal shown below, the first diagram has a radius of 102cm. Each successive…

A: We have to find circumference of smallest circle only in 6th stage after decrement of 1/3 in each…

Q: Find the area of the region bounded by the graphs of the equations y=x³+x, x=4, y=0. Round your…

A:

Q: 13. x cos2 y dx + tan y dy = 0.

A:

Q: Then (fog)(x) = (fog)-¹(x) = (f ¹ og ¹)(x) = (g-¹ of ¹)(x) = f(x)=x+4 and g(x) = 2x - 5.

A:

Q: rounded

A:

Q: dz dt 2 Find where z = 3x²y3³, x = t4 and y = t²

A:

Q: Rewrite each of the following as a power function in the form kx", or state that it is not a power…

A: Given, 5x3;x3;72x

Q: S= Evaluate the integral r² dr 25 - x² using trigonometric substitution.

A:

Q: (b) lim √√9x-11 -4 X-3

A:

Q: a.) √ 1 csc² x+sec² x cosx-cos³x - dx

A:

Q: 29. xyy' = 1 + y²; when x = 2, y = 3.

A:

Q: spot speeds of vehicles observed at a point on a highway are 40, 55, 60, 65 and 80 km/h. The…

A:

Q: Find the indicated derivative using implicit differentiation. e²t_st = 6; dt " ds

A: Topic- implicit differentiation we are given ,es2t-st=6we know that(uv)'=uv'+vu'(eu)'=euu'where u…

Q: 4 9 Find the critical points of the function f(x) = 45x 5 + x 5. Enter your answers in increasing…

A:

Q: Iculate zu for z=₁₁₁x = e Z X 2u cos(3v), y = e²usin(=

A: We are given  z=2x-yx+3y, x=e2ucos3v, y=e2usin3v we have to evaluate zu=∂z∂u

Q: = Multiply, and express answers using positive exponents only. 1 (6u²z - v² ) Lu 2 би V - 3v 2

A: Solution

Q: 2 1. Find y' of tan(x²y4) = 3x + y²

A: The given differential equation is tan(x2y4)=3x+y2

Q: 12x5-9x³ + 8x² - 4x 4x³ - 3x + 1 dx

A: The given integral is: I=∫12x5-9x3+8x2-4x4x3-3x+1dx   As we know the Power rule;…

Q: 2) lim x→4 4x-x² 2-√√x

A:

Q: 3.  Evaluate the integral. (If the quantity diverges, enter DIVERGES.) 3 0 1 9 − x2  dx…

A:

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A: The given function is  f(x)= x3-12x+7  We have to find  a) relative minimum points b) relative…

Q: 4) Given that lim f(x)=3, what is the value of lim (2 f(x)-5) ? x-4 x-4 A) 3 B) It doesn't exist C)…

A:

Q: Find dy. dy= y = 30 + 15x4 - 2x5 (Simplify your answer.)

A: Solve for the derivative

Q: =1 Find hat such that fal= (h ol F(x) = √x +13 -4 g(x) = 8x + Suppose that g(x) h(x) =

A: Topic:- calculus

Q: What is the particular solution for r(x) = 6xe³ª?

A: We have to tell the particular solution for  r(x) = 6xe3x

Q: 5) Which of the following products can be used to solve the systems of linear equations below? 3x -…

A: The given system of equation is: 3x-4=-zx+2z=5

Q: Check the exactness and obtain the general solution y'=x^3 - 2xy

A:

Q: (D² + 4D + 8)y = 1 - 3x

A:

Q: Given f(x, y, z) = xyz, find fxyy

A: The given function is fx,y,z=xyz We have to find the value of fxyy

Q: Differentiate y=11x³ +4

A: Given, y=11x3+4

Q: "/ Evaluate the integral dx x²9x² using trigonometric substitution.

A:

Q: QUESTION 3 Derive a Differential Equation that is free from arbitrary const

A:

Q: how did you arrive at the value of 20 for the coeficciant of the derivitave?  4/5 of 45 is 36.  Also…

A: Query regarding value of coefficient in step - 2. In order to explain step-2, the step is again done…

Q: 1. Evaluate the following integrals a) f16 V₁+√ dr dx b) f dx x+√√xn-m¹ where m and n are natural…

A:

Q: x Find z. if z = xvey.x = rcos(t), v = rsin(t), when r = 2 and t =

A: Given; z=xyex/y, x=rcos(t), y=rsin(t)

Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) 9 0 dx 9 − x please…

A: Given, ∫09(9-x)dx

Q: Solve the given initial value problems. y'' - 4y' + 4y = 0, y(1) = 1, y'(1) = 1

A: To find out the solution of the differential equation.

Q: 1) The volume of a right cylinder is given by the equation V = r² h, where r is the radius and h is…

A:

Q: Q2. Find the area of the triangle (by using vectors) whose vertices are A (0,0,0), B(1,1,1), and…

A: To find the area of the triangle with given vertices.

Q: 11.) Consider the function f(t) = lnt. a.) Calculate the instantaneous rate of change of 1 the…

A:

Q: Multiply, and express answers using positive exponents only. 3z1/8 (527/8-4216)

A: To multiply and express the answer using the positive exponents for the expression: 3z18(5z78-4z16)

Q: How you recieve pi/4 in the first problem because when you put tan-1(1/2/12) = tan-1(1) and this is…

A: This is possible by the conversion of degree into radian.