Calculus

Consider the following limit. limlimits _xto 0x9x Determine whether you can apply L'Hôpital's rule directly. Explain why or why not. L'Hôpital's rule 1 ---Select--- ✔ be applied directly because the limit is of the following form. 0/0 frac ∈ fty ∈ fty 1 ∈ fty ∈ fty 0 00 0 . ∈ fty ∈ fty - ∈ fty none of the above How can the limit be altered in order to apply ...

Find the derivative the following ways. a. Using the Quotient Rule. b. By simplifying the quotient first. Verify that your answer agrees with part a. hw=frac 4w6-ww 4wv-w- B. The derivative is frac wsquare +4w6-wsquare w2 C. The derivative is frac wsquare -4w6-wsquare 2w D. The derivative is frac wsquare -4w6-wsquare 4wb-w2 E. The derivative is frac w24w5-1-...

Tan ApCak Br 10 Tellevision Viewership The number of viewers of a television series introduced several years ago is approximated by the function Nt=60+2t2/31 ≤ t ≤ 26 where Nt measured in millions denotes the number of weekly viewers of the series at the end of the 1th week. Find the rate of increase of the weekly audience at the end of week 5 and at the end...

What is the derivative of y=frac e-3x54x4+1745x2+7x-173 with respect to x? Hint: Take the natural log of both sides. dy/dx =square square

SCalcET9 3,9,006.MI. The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 13 cm and the width is 10 cm, how fast is the area of the rectangle increasing incm2/s 168 cm2/s Resources READ IT WATCH IT MASTER IT SUBMIT ANSWER 5. [0 / 8.33 Points] DETAILS MY NOTES PREVIOUS ANSWERS ASK YOUR...

Implicit Derivative at a Point Level 1 Score: 2/3 Penality: none Question If 0=y2+4x2-5y then find dy/dx at the point 1,4. Answer Attempt 1 out of 2 dy/dx |_1,4=square

The function Rt=56t-t2 represents the value of the U.S. dollar in Indian rupees as a function of time t in days. Estimate the instantaneous rate of change of R at time t=8 using h=0.0001 . Round the instantaneous rate to the nearest whole number. 37 41 42 39 40

Find the directional derivative of the function fx,y,z=x2+y2+z2 at the point P=-3,10,0 in the direction toward the origin. D_vf-3,10,0=square

Practice Problems f 1. Use the IVT to show the following. a fx=x3+x outputs 7 for some x ∈ [1,2]. b gt= t/t+1 outputs 0.499 for some t ∈ [0,1]. c gt=t2tan t outputs 1/2 for some t ∈ [0, π /4]. d fx=x5-6x2-x-5 has a zero.

If hx= square root of x+3e2x-4 , determine frac d2hdx2 °