A ball is being inflated such that the volume is increasing at a constant rate of 130cm3/s. How fast is the radius changing when the radius is 10 cm? (Note: The Volume of a Sphere is given by: V = ³ and use as 3.14 for the calculations) (Answer to two decimal places. For example an answer of "4" should be expressed as "4.00". An answer of ".5" should be expressed as "0.50") cm³ 8

Q: Find an equation of the tangent line to the graph of y=x at the point where x=e. ... The equation of…

A: We are given that f(x) = xx and x ​= e.

Q: d) Using your equation, calculate the instantaneous rate of change at exactly 50 seconds. Use a…

A:

Q: A stream line is a line that is everywhere tangent to the velocity filed ylgn O İhi O

A: Given that A stream line is a line that is everywhere tangent to the velocity field

Q: integsate Sinedx

A: We use the expansion formula of sinx then integrate as in next step.

Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: What function measures the rate of change of distance?

A: _____ function measures the rate of change of distance

Q: l+4vx 15. dx =

A: Given that:∫e1+4xxdx

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = –1. x =…

A:

Q: 700x+30,000y=9xy-0.0004x^2-7y Find the rate of change of the number of hours with respect to the…

A:

Q: Review: A point of (2, 5) is translated 2 units right, 4 units up then reflected across thex axis…

A: Consider the given information. x,y=2,5 First the point is translated to 2 units right.

Q: How do I differentiate the function y=e^tan(θ)?

A: y=e^tan(θ) We need to differentiate the function

Q: cosx y = find y

A:

Q: shown in the figure, P is the point on shore closest to the lighthouse and Q is a p the speed of the…

A:

Q: At each marked point: draw a short tangent line and estimate the derivative at that point (write the…

A: The given graph is:

Q: Part 2: Increase the radius of the cone from 3.25 cm to 4 cm and explain the effect on each of the…

A:

Q: d) 4x-e¹ = 2y at the y-intercept

A: We are asked to find the equation of tangent line at the given value.

Q: Question 1 Two straight roads intersect at right angles. At a given instant, a car is 30 km from the…

A: We solve the given problem using the differentiation concept.