Answered: If a is inversely proportional to the…

Math

Calculus

If a is inversely proportional to the cube root of b, what happens to a if b is 64 times as much as its original value?

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter8: Functions

Section8.7: Direct And Inverse Variation

Problem 39PS

See similar textbooks

Related questions

Q: B. Solving. For each of the following, show complete solution. Determine the antiderivative of the…

Q: 2х — 5 -dx х — 1)3 x(x

A: To evaluate the given improper integral.

Q: (x" + 2x + 4y = 0 ly" + x + 2y = 0 x(0) = y(0) = 0 %3D x' (0) = y'(0) = -1 of bee %3D ondeplo no…

Q: A food company distributes its tomato soup in two cans of different sizes. For the larger can, both…

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(4,…

Q: (f) Suppose that the fundamental group of X is Z and p(xo) is finite. Find the fundamental group of…

Q: Given the following information of a triangle, match the missing side or angle with its value. A =…

Q: What is the differential equation of the solution y = C1e®" + C2xe®u + C3e¬7w ? O y" – 11y" + 45y +…

Q: Find f. f"(e) = sin(e) + cos(e), f(0) = 5, f(0) = 4

A: f''(θ)=sin(θ)+cos(θ)Integrate with respect to θf'(θ)=∫sin(θ)+cos(θ) dθ f'(θ) =-cos(θ)+sin(θ)+C1Again…

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/16…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

Q: 12. The terminal point P(x,y) determined by an angle t (a) cos (t) (b) tan (t)

Q: Find the tangent line. To the ellipse x²+4y²=8 parallel to the line x+2y=6

A: Equation of ellipse is , x2+4y2=8Differentiate w.r.t.x2x+8ydydx=0Subtract 2x from both…

Q: 13. A town's population in 2000 was 36,000 people. In 2005 the population had risen to 54,750.…

Q: dx |4 – x² 2.

Q: Find dy/dx of the following function

Q: (a) f ry dy dx а. 13/7 O b. 27/2 Ос. 12/5 O d. 18/7

Q: (-1)"-1 (In n)" 00 23. E n=2

Q: (b) Convert 400° into radians. Write your answer as a simplified fraction (no decimals, please)

A: As you mentioned only 14 B solved

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/8…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 7, -2) Vw(12, 7, -2) =

A: Gradient of function wx, y, z=xtany+z at point 12, 7, -2

Q: Find T3 centered at x = a. 1 1. f(x) = -1 %3D a = 2+ x

Q: a)Find the arc length of f(x)= In(1+x°), Osx<5

Q: 2. f(x) = x´ – x + sin(x) – 1 Solve this question by the Fixed-point method on the topic of solution…

Q: sec?x - dx |1- 4tan²x 1 –

A: We will solve this question using simple Integration formulae.

Q: The point is on the terminal side of an angle in standard position. Find the exact values of the six…

Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

A: We have to compute the equation of the tangent line of f (x).

Q: For a certain bathtub, the hot water faucet can fill the tub in 12 minutes. The cold water faucet…

A: Efficiengy of hot water faucet (Eh)=work time taken by hot water faucet to fill the tub (Th)Since…

Q: Problem 2 Find the values of x for which the series converges. Find the sum of the series for those…

Q: Find the average value over the given interval. -X. y = 5 e [0,4] The average value is

Q: |r sec? 3rdx

A: Here we have to solve the integration by using integration by

Q: 5. The initial value problem which describes the motion of a certain undamped harmonic oscillator is…

Q: 1. Let R be the region bounded by the graph of f(x) = 2x² – x + 2 and x-axis F31 between x = 1 and x…

Q: 1. The sum of two positive numbers is 42. Find these numbers if their product is a maximum. 2. The…

Q: 10. Evaluate the following integrals (a) L x²+1 (b) J 군TT 1 x2 –6x+13' d.x

Q: f(x) =x° – cos(x) Solve this question by X the Bisection method on the topic of solutior of…

A: given f(x)=x3-cos(x)

Q: For what value of x does the function f(x) =x³ 4x attain the absolute minimum %3D in the interval…

Q: du dy dy du du dx Inner (u) dy du Function Outer %3D (v) dx dx y = (3x² + 5x – 5)³ | u = 3x² + 5x –…

A: Here we have to solve the given derivatives.

Q: J (금2 + 3z2 +1) dz 4. 6) dx 5.

A: 4) the integration of the integral is 3z4/4 +3z2+1 5) the integration of the integral is -2x5/3 -6.

Q: d(x,y) . Solve the system u = 4x + 3y, v=x+4y for x and y in terms of u and v. Then find the value…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: f(x) = x + e х+е

A: Given : f(x)=x+e-x f(x)>0 for all x,and f(x)≠0 for all x Therefore f(x) has no solution

Q: 4.

A: Given query is to find series converges or diverges.

Q: If total revenue is R=50Q-2Q^2. At what value of Q will marginal revenue by -10?

Q: Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2

A: Solution of question is written in below steps.

Q: Hiwin If Z=R Cxxy)and u=x-y V=x-y show that %3D

Q: let f(x) be the function 4x^2 - 4x + 11. Then the quotient f(4+h)/h - f(4)/h can be simplified to ah…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given Equation of line is x=2t,y=t-3, z=2t+2That isx2=y+31=z-22=tequation of line in vector form is…

Q: 1 25. x - 8

Q: integral over the given region R. R: -4<x54, 0sys

Q: ( ) Find the Laplace transform F(s) = L {f (t)} of the function f(t) = 2 sinh(at) – 8emt defined for…

Question

If a is inversely proportional to the cube root of b, what happens to a if b is 64 times as much as its original value?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The volume of a gas in a container varies inversely as the pressure on the gas. If a container of argon has a volume of 336 cubic inches under a pressure of 2,500 psi, what will be its volume if the pressure is decreased to 2,000 psi?
The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?
The half-life of magnesium-27 is 9.45 minutes. How much of a 10-mg sample will be left in 6 minutes?
The surface area of a cube varies directly as the square of the length of an edge. If the surface area of a cube that has edges 8 inches long is 384 square inches, find the square area of a cube that has edges 10 inches long.