Aradioactive chemical has a decay rate of approximately 5% per year Suppose that thès chemical is released into the atmosphere each year for 13 yr at a constant rate of 1 Ib per year. How much of this chemical will remain in the atmosphere after 13

Q: By using the graph of function y= sinx, which is below, graph one 2(x+). = sin period of function y ...

A: This question is based on Sinusoidal function.

Q: dx =(x²yeº- 3xy²) dy |

A:

Q: Differentiate (xy)* = e a. y' = Y(1+lnxy) c. y' = Y(1-Inxy) b. y' = x(1+lnxy) d. y' =Y(1+ln xy) y

A: (xy)x=e Take logarithm on both sides: ln(xy)x=lne ln(e)=1: ln(xy)x=1  

Q: A. (xey + x)dx – (x²ev + 4e')dy = 0

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Solve the di fferential equatons (y-Jx*+y²) dx xdy when x= JE, y=I 2 1.

A: y-x2+y2dx-xdy=0

Q: For real number p, let f and g be defined by f(x) =e3 and g(x) = 1/xP, respectively, on [1,00). f(x)...

A:

Q: 1. A model for the position x (t) of an Olympic jump skier says that the acceleration a(t) = x" is p...

A: As per as our guidelines i am supposed to answer only three parts of this question Please repost the...

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We have to find the differential equations of the family of curve that

Q: (1+x*)dy + x(1+ 4y²)dx =0

A:

Q: Compute the partial sums S3, S4, and S; for the series and then find its sum. Σ n+4 n + 5 (Use symbo...

A:

Q: Lesson 4 1. Given the function f(x) = 3-x, graph and find lim f(x) a. b. lim f(x) c. lim f(x)

A: Topic = Function As per guidelines, At a time only one question can be answered out of different mul...

Q: Given the function g(x)=−2cos x, calculate g′(7π6).

A: Given: gx=-2cosx   We know that, a·f'=a·f', where a is the constant. And The derivative of cosx is; ...

Q: solve for orthogonal trajectories y^2=4x^2(1-kx

A: For finding orthogonal Trajectories :step 1 : Let f(x,y,c)=0 be the equation of the given family of ...

Q: For real number p, let f and g be defined by f(x) =e x and g(x)= 1/x, respectively, on [1,0). P. (a)...

A:

Q: 2. A hemisphere of radus 12 nches and base up is full of water that runs out through an orifice of a...

A: Dimensions of a hemisphere tank are: Radius R=12 inches or 0.3048 mHeight of tank H1=Radius of tank ...

Q: O Find dy/dx, given y =. -u and u =TR42.

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to u

Q: Setup an integral to find the surface area obtained by rotating the curve y = e about the line y = 1...

A:

Q: dx 1+ ×°yス 2Y - 1+(xy)². 2x + X

A:

Q: 7-4х 3. У 3 5+ 2х

A:

Q: Find the exact length of the curve.   36y2 = (x2 − 4)3,    5 ≤ x ≤ 6,    y ≥ 0

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

Q: (b) Explain why the integral e x'dx is convergent.

A: Improper integral : If f(x) is continuous on [a,∞) , then the improper integral of f over [a,∞) is  ...

Q: dx. 1- x

A:

Q: Find the exact arc length of the curve x = y4/8 + 1/4y2 ,   1 ≤ y ≤ 3

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Given

Q: Find the diffetential equation of the family of plane curves described, Draw at least three members ...

A:

Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

A:

Q: Show the complete and DETAILED solution of the differential equation: 1. siny dx + (x – sin2y)dy=0

A:

Q: 家, for x 2 2 3-x, 3. Given the function h(x) = Corrs graph and find a. lim, h(x) b. lim h(x) C lim h...

A:

Q: Let z be a function of x and y defined implicitly from the equation 9ye" - 5 cos(y+ z – 1) = 7x – 12...

A:

Q: (a) Show that the limit xżycos y lim (x.y)→(0,0) 2x+ +y² does not exist. (b) If u = x cos y+ ye», wh...

A:

Q: Operations on Functions Using Tables of Values Use the tables for f(x) and g(x) to evaluate the expr...

A: I am attaching image so that you understand each and every step.

Q: Part 1 of 2 A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand ...

A:

Q: sec? x 2. csc2 x = sec2 x-1

A:

Q: Consider the function f (x) = 3x – 6|. -

A: Given problem:- f(x) =|3x-6|  To find:- How is differentiability related to limits Rewrite f (x) as...

Q: How do I wvaluate f(x) = −2x2 + 4x for f(a+h)?

A: Topic = Functions

Q: Express as a difference of logarithms. a log-

A: Property of logarithm: log(m/n) = log(m) - log(n)

Q: Sx+5 if x m C. 8 Find the value of m such that g(x) = is continuous at x = m. A. 2 B. 4 D. -1

A: Let's find. 

Q: - ydx + (x ++ Vxy )dy= 0

A:

Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

Q: ItcosX

A:

Q: diagram not to scal Topic 3 Trig Function graphs [52 marks] 1. A Ferris wheel with diameter 110 metr...

A: As per our guidelines, we are supposed to answer only one question at a time.   Given data are: Diam...

Q: -3x3 dx V5-x8

A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45

Q: Show that the limit xłycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

A:

Q: What is the least possible degree c

A:

Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

A:

Q: -e4 lim x→2 x2-2x

A:

Q: 1. lim f(x) = x-1 ; lim f(x) : lim f(x): f(x) 5 X-1 2. f(1) = 4 3 3. X-1 lim f(x) = ; lim f(x) = ; l...

A: According to bartleby guidelines I can only answer the first three subparts of the given question. P...

Q: eliminate arbitrary constant, x=k+ct

A:

Q: For real number p, let f and g be defined by f(x) =e¯*x³ and g(x) = 1/xP, respectively, on [1,0). Sh...

A:

Q: solve using variation of parameters or reduction of order (D^2 +1)y = tanx

A: Let's find.