building that is 225 feet tall casts a shadow of various lengths as the day goes by. An angle of elevation o is formed lines from the top and bottom of the building to the tip ot the Shadow. Find the rate of Change of the angle elevation do when X=15Z dx 225ft radiand per foot. O'LI52)= Round 5 decimal places

Q: The range of the function f(x, y) =16-4x² -9y is equal to: [0, 4] [0, 16[ O This option O This optio...

A:

Q: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: To evaluate the integral dz, we use Select one: Substitution with z = 2 sin 0, where 2 O Substitutio...

A:

Q: X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x)) =x...

A: The given function is: fx=x2+1gx=x-10 To find the value of fgx and gfx

Q: y3 Set up an integral that represents the surface area of the surface generated by revolving the gra...

A:

Q: manufacturer believes that the cost function C(x)= 5/2 x^2+ 125x +860 approximates the dollar cost o...

A: Given query is to find the production level when marginal cost is $335.

Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx = ...

Q: True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

A: true find integration use partial fraction  

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A: The given function,   f(x)=ln x, 0<x≤3

Q: Find divergence the vector A (div A) where (A=xz^2+ 3xyz) at a vector (1, * 2, -1)

A: Let's find. 

Q: Write the general antiderivative. (Use C for the constant of integration.) x2+1 dx 5x Need Help? Rea...

A:

Q: C b 630 A 53

A: Topic = Triangle

Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

A:

Q: True or False: If 3 In|x-3|+B In|x+2|+C (x-3)(x+2) then B = 5 Select one: O True O False

A:

Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent squar...

A:

Q: Write a Riemann sum corresponding to the following definite integral. p6 sinx 1+ x5

A:

Q: 2x + 3 dx

A:

Q: Write the general antiderivative. (Use C for the constant of integration. Remember to use abs 1 3x d...

A:

Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 V5 an. Compute lim an.

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: 7hen a drug is intravenously administered to a patient on a continuous basis, the amount A (in milli...

A:

Q: Find lak| for the series. 00 k k k + 12 k=0 (Express numbers in exact form. Use symbolic notation an...

A: The series ∑k=0∞kk+12k

Q: The number of solutions to cos 0 = – c, with 0 < c < 1 and O 2 Infinitely many

A: This question can be solved graphically.

Q: If f(x) = x + V2 – x and g(u) = u + v2 – u, is it true that f = g?

A:

Q: Consider the function f(r) - on the interval 2, 6. Find the average or mean slope of the function on...

A: f(x)=1xInterval [2, 6]f(2)=12f(6)=16The mean slope=f(6)-f(2)6-2Mean slope = 16-124Mean slope = -44(1...

Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

A:

Q: Convert polar equation r=cos3 θ to cartesian equation

A:

Q: An equation of the plane passing through A(2,1, –1), B(0,–2,0), and С (1,-1,2) is: 7х — 5у — z %3 10...

A: We have to find an equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2).

Q: We wish to evaluate the following intogral 10 -12xe de We will accompliah this using Integration by ...

A:

Q: 5. Evaluate the folloming integral over the region R 2des places. Gitosetrsine)r dride పా

A:

Q: 1. Use calculus to compute the integral / (3r + 5) sin(r)dr. 2. Use calculus to compute the integral...

A:

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the p...

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0, t...

Q: 6.2 o, 417 り O• 2 o.447 X, o. 587 0.3 nd:. う、= ?

A:

Q: Consider the points A(3, –3,5), B(5, –5, 2), C'(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of t...

A:

Q: 3. Find the arc length of y = 3x3/2 on the interval 1<x< 3 %3D

A:

Q: A company that produces ribbon has found that the marginal cost of producing x yards of tancy ribbon...

A: The given data is: C'x=-0.00001x2-0.02x+46 for x≤1300 Approximate the total cost of manufacturing 13...

Q: CHAIN RULE DERIVATIVES Directions: Differentiate the given fnctions 7) gx) = 13lbc" (5bt 4c t 9)s

A: Given function g(x) = 13bc3(5b+4c+9)5 Find:- Find differentiation with respect to 'x'

Q: Sx² + 1, x > 1 Зх — 1, х < 1 f(x) = Calculate the purpose of the following functions

A: topic -  limit and continuity 

Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

A: I am attaching image so that you understand each and every step.

Q: 3. Use the Comparison Test to determine if the series 5n – cos 2n - n3 + n² + 1 n=1 converges or div...

A: Use the comparison test to determine the series.

Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: True or False: To evaluate the integral dz, 9. we use substitution withr= 3 sec 0, where Select one:...

A: Option B

Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a trapezoid...

A:

Q: Let the region R be the area enclosed by the function f(x) = x³, the horizontal line y = –1 and the ...

A: NOTE: Refresh your page if you can't see any equations. . here we have the region is bounded by the ...

Q: Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian. 7. 8. 9. 1...

A: Find your answer below 

Q: if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33 sq...

A:

Q: xtra questions: Find the Derivative of 8 1. y = 10 vx ++ x2 2. y = ta n(si n x) 3. у %3D cot?3x

A:

Q: Question 6 Evaluate the integral J sinh? COSA(2X) +C cost(2x) A sint(2x) B +C sinh“(2x) +C 8 cost4(2...

A:

Q: at x = The function has a relative minimum of at x = The function is increasing on the interval(s):

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you ...