A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 5 ft/sec, at what speed is the area of the ripple increasing when its radius is 2 feet? 1. speed = 21sq. ft/sec 2. speed = 19sq. ft/sec 3. speed = 22sq. ft/sec 4. speed = 20sq. ft/sec 5. speed = 23sq. ft/sec 6. speed = 197sq. ft/sec 7. speed = 22sq. ft/sec 8. speed = 20лsq. ft/sec

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Determine the vector field of F. F(1, y) = 9i – 3j

A: kindly attached following graph.

Q: If the function is defined as gx=3x^2 -5(x+2), what is the value of g(4)

A: Given, gx = 3x2 -5x+2   We have to find the value of g4

Q: graph f(x)=(x-3)^2

A: To graph f(x)=(x-3)2.

Q: log(1 + (2y/x) + (y^2/x^2)) + 2logx, simplify and state restrictions

A: The expressionlog(1+2yx+y2x2)+2logxThe propertieslog(mn)=logm+lognnlogm=logmn

Q: Calculate |(1 – i)12|. e^6log2

A:

Q: p(t)=-1718^2+82000+10000

A: Given:p(t)=-17182+82000+10000

Q: Find the value of what comes log,(x-1)-2 log.(x-1) +loga(x-1)/(x+1)

A:

Q: (e) $(-1296)^{1 / 4}$(f) $-1296^{1 / 4}$(g) $(-27)^{1 / 3}$(h) $-32^{1 / 5}$

A: (-1296)1/4Apply radical rule:  -a4 = -14a4-129614=-1412964=6-14   -12961/4=-6

Q: State Odd and Even Functions Under Multiplication ?

A: Let f:D→R be a function, Then f is said to be even function if f-x=fx ∀ x∈D and  f is said to be odd…

Q: Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

A: Given, To Simplify ((5)/(x^2-1))/((2)/(x-1))-((3)/(x+1))

Q: 150,000/1-(12) - 20 7 | 0.12 ニ

A: The objective is to simplify the given expression

Q: ((-14)/((x^2)-x-12))-((1)/(x-4))=((2)/(x+3))

A: Given:The equation is,

Q: log, (5x + 8) = log,(9x) 5z +8 =

A:

Q: hᴏf(x)=

A: Solve the following

Q: Find E(0.6^X). E(

A: Given that,The probability mass function of X is,To find the expected value of .

Q: Which of the following is the exponential function of the form f(x)3 ab* containing the points…

A: Solution: The objective is to find the exponential function

Q: Which of the following functions exchibits exponential growth? A (a) = (종)" fa (2) = z³ f3 (2) =…

A: The exponential growth function is given by: f(x)=abx; a≠0, b>0

Q: (log, 12 - log, 4) · log 9.

A: NOTE: Refresh your page if you can't see any equations. . properties of logarithms are

Q: Which of the following functions are qx²)? ☐ 1x) = 17x + 11 (x) = x² +1000 f(x) = x logx (x) = x^/2…

A:

Q: ešlog (r-1)

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Solve. -12=9-log_(9)(3-x)^(7) If the answer is not an integer,

A:

Q: hp(h)u[ h^S

A: