Suppose that the volume, V, and radius, r, of a sphere are changing with respect to time and satisfy the equation V = r3 dr dt -4 m/min, then find the following: AP when r = 3m a. dt AP when V = 2 T m³ b. dt

Q: 3=60e^-1.5x Solve for x in the equation.

A: Step 1: Step 2: Step 3: Step 4:  Thanks

Q: Solve (3^(3x - 1) = 10^x) algebraically.

A: The given equation is

Q: Find the value of a a^1/3=4

A:

Q: A bacteria population grows by 10% every 3 days. Based on this, if we initially have 2,000…

A: First of all we should know that the growth is exponential so formula will be: Nd = N0ekd where N0…

Q: Solve e^(3z-7)=1

A: Given,  e3z-7=1 ⇒lne3z-7=ln1   [Taking logarithm both sides] ⇒3z-7=0   [since lnea=a   and   ln1=0]…

Q: If e^3x=25, then x=

A:

Q: Solve (1/64)^3n-1*16^-n-2=1

A: We have to solve  1643n-1·16n-2=1

Q: Solve for xx: ∑∞n=13x^(3n)=20

A:

Q: Зи 3u-7u=6

A: Here we have 3u2-7u=6

Q: differentiate: squreroot 271/e^16

A:

Q: Solve for x  7^3x = 3(7^x)

A: Use the concept of algebra and logarithmic.

Q: Solve: A) 4^x = 1024 B) 3^5x = 9^(2x-1)

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: The area of a rectangle of side lengths L cm and L + 4 cm is increasing at a rate of 30 cm^2s−1.…

A:

Q: A man standing on a cliff 200 meters high drops a stone. How long does the stone remain in the air?…

A: Initial velocity of the stone, u=0 Height, h=200   Use the second equation of motion,…

Q: 2 (x-a)を

A:

Q: solving : 5(2.6)^x=57(1.8)^x

A: We know that ln(ab)=ln a+ln b and ln(ac)=cln a. For solving 52.6x=571.8x, we will be using the above…

Q: 1 Solve the equation | xp- 6 log2 Ve*-1

A: Given,          ∫log221ex-1dx=π6

Q: Solve 5^2x=20

A:

Q: Solve:   10(1.07)^x=8(1.13)^x

A: Given:The equation 10(1.07)x  = 8(1.13)x

Q: What is the INITIAL VALUE for the equation: y= 24000 (1 - .08)^x? *

A:

Q: solve  x^4=0-1i

A:

Q: valuate the following: a. log i^i b. (9+2i)^(1/3)

A:

Q: 30=6*(1.24)^t Solve for t

A:

Q: solve 6^(x+3) = 2 for x

A: We take ln on both sides.