A woman 1.5 m tall walks directly away from a street light which is 6 m above the ground at a rate of 1.5 m/s. When she is 9 m from the base of the street light, the rate of increase in the length of he shadow is О 1) 3 m/s 2) 2 m/s 3) 3.5 m/s

Q: Question Given F(x) below, find F' (x). I o+2) di F(x) = Provide your answer below: F(x) = O…

A:

Q: 4. Solve 5x3 - 3x2 – 32x – 12 = 0

A: We have to solve the equation

Q: Determine whether the Mean Value Theorem can be applied tof on the closed interval [a, b]. (Select…

A: Given function  f(x) = x /(x - 25)          Let's check mean value theorem.

Q: Find the particular solution of the differentlal equation that satisfles the Initlal condition(s).…

A: First integrate and satisfied given condition

Q: 10) у - еx3 In x

A:

Q: [[(u + 1)e-(•1)dA; R= {(r,y) :0 s r s1, –1 <y s1} R

A:

Q: sec x lim X0 InX

A:

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

A:

Q: Find the area bounded by: y=x³+ 1 and y=x+ 1.

A:

Q: Find the linearization L(x) of the function at a.

A: Use the derivative for finding the linearization of function

Q: Find the Rolle's theorem For the Following function and iFit is truerfindthe Value oF C

A:

Q: 11.. Compute the area of the shaded region in the graph below. The region is the area of overlap…

A: Given two curves; r(theta)  = cos(3theta) and r(theta) = sin(3theta).

Q: Find the length and direction (when defined) of u xv and vxu. u= 3i, v=5j The length of uxv is (Type…

A:

Q: (D² +4)y = 4cos x

A:

Q: Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x-…

A: Given limx→4- -6(x-4)2 Apply the constant multiple rule limx→4- c f(x) = c limx→4-f(x) with c=-6…

Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use m or -co, enter…

A:

Q: a3z a3z 5. For z = x?siny show that дудхду ay²əx

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Find the derivative of the function. y = x2(8x2 - 9x) y' =

A:

Q: Evaluate the following limits: x² - lim x→1 x-1 a) х-2 b) lim x→2 2- 16–x 2х -1 c) lim x→* x² +3x+5

A: a) limx→1x2-1x-1b) limx→2x-22-6-xc) limx→∞2x-1x2+3x+5

Q: Use a sum or difference formula to find the exact value of the following. tan 109° – tan 64° 1+ tan…

A:

Q: Find the radius of convergenee and interval of convergence for the following. (x – 2)" 2 2" (2n)!…

A: The given series,       ∑n=1∞x-2n2n2n!

Q: -2ln(cosx 03. lim,0 .2

A:

Q: Supply the missing integrand and the limits of integration n/2 2sin e r cos?e dr de = | _de 2sin e…

A:

Q: noitel arctan 2x 37. lim x→0+ In x

A:

Q: how do you solve series and sequence questions? Explain in words.

A: Solution: for sequence and series , 1st you should know about the sequence Because sequence:…

Q: lim, -r(csc Tx )(Inx)] -TC

A: The given limit,limx→1-πcscπxln x

Q: (d) = 9- X-y = 2 at p(3,1), find x-2y dy 19we 1997109 oilt 00d:O dx dy (a) 으= 0 (b) = -1 (c) = 1 (=-…

A:

Q: 7 What is the exact value of sin if sin() = 5, where <v<n? 10 7/7 B 10 10 7/2 10

A: Given that,     sinv=725, where π2&lt;v&lt;π

Q: Find the volume of solid generated by revolving the area enclosed by: x = y2 + 1, x=0, y=0 and y=2…

A:

Q: Find the differential dy of the glven function. (Use "dx" for dx.) y = 3Vx + dy = Submit Answer

A:

Q: The function s(t) describes the motion of a partide along a line. s(t) = 12t – 2 (a) Find the…

A:

Q: For the following graph of a function, estimate the area under the curve in the interval [-5, 1]…

A: Given interval [ - 5 , 1 ] divide in 3 interval △x=1-(-5)3=2 -5 , -3 , -1 , 1 For midpoint…

Q: cos(0)tan(8) sec? (ө) — 1 is written in terms of sin(e) only and simplified, what is the resulting…

A: Topic:- trigonometry

Q: A city had a population of 2,238 at the begining of 1965 and has been growing at 9.6% per year since…

A: TOPIC- EXPONENTIAL FUNCTION

Q: Area under the curve x + y = 3 and the coordinate axis

A:

Q: lim X→1 X-1 Inx

A:

Q: Which of the following is the expanded form of E (-1)*(k+ 1)2? k=1 A -1+4-9+ 16 – 25 B -4+9- 16 +…

A:

Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

A:

Q: A circle has radius of 7 cm. What is the length of arc intercepted by a central angle of measure…

A:

Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

A:

Q: The point P(48, –14) is on the terminal side of angle e in standard position. What is the value of…

A:

Q: Question 3. Find f/(x). If f(x) = tan-1x?

A:

Q: Find the horizontal asymptote of the given function. 4x? +9 f(x) = 4x -9 2 O A. y= - 9 O B. None O…

A: To find the horizontal asymptote of the given function.

Q: Given the vectors v and u, answer a. through d. below. v= 7i-3k u=i+j+k a. Find the dot product of v…

A:

Q: Consider the following function. f(x) = (11 - x)(x + 1)2 (a) Find the critical numbers of f. (Enter…

A: Here we have to find the realtive extremum.

Q: Evaluate the integral (show clear work!): xsin x dx

A: Use formula of integration of parts method

Q: 1. Find the area bounded by: y=x³+1 and y=x+1

A:

Q: 5. Which graph below represents the function f(x) = (x - 2)(x +1)(x + 2)? Explain your answer. Graph…

A: Given function, f(x) = (x-2) (x+1) (x+2) To be found - Graph of function

Q: lim - Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: 1 lim X→0+ ех-1, 1 lim x cos…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…