Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the unit vector u = cos ei + sin 0j. f(x, у) %3D Р(3, 0), в %3 - 6x + y

Q: 3+ dx

A:

Q: An equation and, its graph are giiven. Find an inequelity whose sotution ia the shaded region.

A:

Q: A tank of water in the shape of a cone is leaking water at a constant rate of 2 ft3 /hr. The base…

A:

Q: (a) What does the equation x² + y´ = 1 represent as a curve in R? (b) What does it represent as a…

A:

Q: Solve th D.E using Exact -(3x² – 6.xy)dx +(-3xr' – 2y)dy = 0

A:

Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: There are 13 female board members and 17 male board members. How many ways are there to make a…

Q: 3 dx a) 3- x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The runner's rate t seconds after exiting the start line is 250te−0.5t feer per second. Utilize an…

A: Given query is to find the distance traveled in 16 second.

Q: 1 tegral 2-2 dx eq" others

A: We have to choose the correct option according to the given information

Q: x + 1 24. x*(x - 2)

A: Question no. 24,Given,            x+1x2x-2To find : Find the partial fraction decomposition of given…

Q: _4. Which of the following is not a separable differential equation? dy dy y = 0 dxy = e* A. 2 А. =…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a…

A:

Q: x – sin 2x -dx x + cos2x

A:

Q: 54. U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

A:

Q: 16z(2r² + 1)°dr

A:

Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: It is given that A ball is launched straight up in the air from a height of 7 feet.  It velocity t…

Q: dx sinx + cosx * 20. Evaluate tan{ 1 + tan; ) +C |+C ) m1- un| +C D) tan(1- tan )+C tan B) In1+tan

A:

Q: 1. For an earthquake that measures 7.0 on the Richter scale what is the amplitude of the energy…

A: Given Richter magnitude R(A)=logA2.5+4.25  where A is the amplitude of the energy waves

Q: Find the limits, using l’Hopital’s Rule where appropriate. If there is a more elementary method, you…

A:

Q: 1

A: ∫x23-1x2dx

Q: Use the integral test to determine whether the following is convergent or divergent. Vn(1+/n)

A: Solve the following

Q: Let 8n an 1- 2n For the following answer blanks, decide whether the given sequence or series is…

A:

Q: : Find the following indefinite integrals.

A:

Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A:

Q: 2

A:

Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, -2, 1, 5} }…

A: We can find the range and graph the polynomial as below.

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

A:

Q: The cost of producing q units of a good is C(q) = 50q + 500, and the firm sells q units at p(q) =…

A: C(q)=50q+500 and p(q)=500-2qTo Find:a. Determine the approximate change in profit when quantity sold…

Q: 9xdx 1 9xdx D=

A:

Q: Q\ use Euler's method to the differen fial equa tion Solve y=XVXY When y co) =\ cnd

A: For the solution follow the next step.

Q: 7. Suppose f is a continuous function on [a, b] and Sf(x)g(x) dx =0 for every continuous function g.…

A:

Q: 14. Which of the following integrals is equivalent to cosxdx if u = V1- sin'x sinxV1- sin'x du c) ;…

A: We are asked to find equivalent integral to the given integral

Q: The greatest common divisor of 57711113 and 3272135 is 1 72 57 711

A:

Q: Consider the following x = 2 + t², y = t² + t³. Find the following in terms of t: 1) and enter it…

A:

Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

A: Given problem:- You are driving a car away from home. Your velocity (miles per hour) t hours after…

Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

A:

Q: 7. Given y =x*in*, calculate y'. sinx sinx A) y'=xin* (sin.x Inx + cos x Inx) C) y'=x*inx + cos x…

A: For the solution of the problem follow the next step.

Q: 5 ): Consider the matrices A and 4 3 5 В 3 9 o]Find the inverses of A and B, using the definition of…

A:

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A:

Q: A metal storage tank with fixed volume V0 = 360π m^3 is to be constructed in the shape of a right…

A: To find: The dimensions will require the least amount of metal. Given information: A metal storage…

Q: 22 xtan"x secx

A:

Q: Find the limit. lim (2 – x)3 tan(a) x→1

A: limit

Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.7 sin (t - 4). What…

A: Average value of the function v(t)over an interval [a, b] is given by:is given by;[0, 3]v(t) =13-0…

Q: circle rose inner loop

A: NOTE: Refresh your page if you can't see any equations. .

Q: Biology Because of an insufficient oxygen supply, the trout population in a lake is dying. The…

A: topic - exponential function

Q: U. sine= and <e< 2n -24 25 sin을 =D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In practical applications the Richter magnitude depends on local geological factors and the average…

A:

Q: Prove by Mathematical Induction. n(n + 1)(2n + 1) k² 6 k=1

A:

Q: t) A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

A: solution

Q: if fcx) : gex) = X 11 X+ 1 find DE n Dg 2.

A: