Find the rectangular coordinates (x, y, z) of the point with the cylindrical coordinates (6,2,2). (Give your answer in the form (*, *, *). Express numbers in exact form. Use symbolic notation and fractions where needed.) (x, y, z) =

Q: You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an…

A:

Q: 4. The table shows selected values of a continuous function f(x), whose domain is 2 ≤ x ≤ 15. What…

A: Given Table:-   x 2 5 8 9 15 f(x) 11 40 35 27 15

Q: 2 cos² (0)=√3 c-

A: Given 2cos2( πθ ) = 3cos( πθ )let cos( πθ ) = u

Q: If what does the following integral equal? L₂d d(z)dz = 10 ["ha d(z)dz = 15 and 10 [d(z)dz = 4.2

A:

Q: What is the differential equation of the orthogonal trajectories of the family of curves x²-3xy -…

A:

Q: Let f(x) = √9-x² and g(x) = x + 1. Find the following functions and their corresponding domains: f+g…

A: Given f( x ) = 9-x2g( x ) = x + 1 as we know that domain = range of x values

Q: Given a = log7 5 and b = log, 4, use logarithmic properties to represent each of the following…

A: Given that a=log75 and b=log74, using logarithm properties to represent each of the given function…

Q: A yeast culture is growing at a rate of W' (t) = 0.3e0.11 grams per hour. Find the area between the…

A: A yeast culture is growing at a rate of W't=0.3e0.11t grams per hour. To find the area between the…

Q: Evaluate the definite integral. 1 ex Jo 1 + e²2x dx

A: To evaluate the integral.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of I f(x) = [*²₂ √t²³ +4³dt…

A:

Q: Use a power series to represent the function f(x) = Sorry, that's incorrect. Try again? ∞ ΣΙ n=0 1…

A:

Q: In Exercises 7-16, vectors and are given. Compute ū x v and show this is orthogonal to both ū and v.…

A:

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

A:

Q: Note that some problems 1. Draw a graph of a function f(x) that is continuous over the interval…

A: Please see the below answer.

Q: (D3-2D2-5D +6)y=e4x, Find Yp a. 1 O 24 O b. 1 0 1 6 O d. 4x 1 4x 18 O e. none 4x e

A: To find the particular integral of given differential equation

Q: The midpoint of AB is at (3, 4). If A = (7, 6), find B. B is:

A:

Q: Find a power series representation for the function; find the interval of convergence. (Give your…

A:

Q: Use a geometric series or the nth-term Test to determine the convergence or divergence the series.…

A: Given query is to find series converges or diverges.

Q: her first day in a hospital, Kiri receives u₁ milligrams (mg) of a therapeutic drug. The amount of…

A: Introduction to the problem: This questions is the application of Arithmetic Progression(AP). We…

Q: If f(x) f'(x) = = x2 - 3 - t² dt then

A: ∫xndx=xn+1n+1+cdxndx=nxn-1dconstantdx=0

Q: SF· dS where  F(x, y, z)  =  xyi − y2j − 5zk  and  S is the sphere  x2 + y2 + z2  =  9  with outward…

A: Evaluate F.dS where  F(x, y, z)  =  xyi − y2j − 5zk  and  S is the sphere  x2 + y2 + z2  =  9  with…

Q: Find the c value that satisfies the Mean Value Theorem. f(x) = 3 + √√x on the interval [0,4]

A:

Q: What is the best convergence test to determine the convergence or divergence of the following…

A:

Q: Find the area of the region enclosed by the curves y = 4 sin x and y = 4 sin 2x for 0≤x≤t. O A. O B.…

A:

Q: Below is the graph of y == z² +5. -4 40+ 30 U 20 10 N. 2 4 6 The area bounded by y = 22 +5 and the…

A: formula for area is  A=∫abydxarea is  A=∫-35(x2+5)dx∫xndx=xn+1n+1+c

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake​ Beach, using 1100yd…

A:

Q: A university is trying to determine what price to charge for tickets to football games. At a price…

A:

Q: The area of the region that lies to the right of the y-axis and to the left of the parabola x = 4y -…

A: Answer is in step 2.

Q: Let f(x) = = 3x + 8 √x+26 I-12 2 if x -1 if x = – 1 Select all statements below that you agree…

A:

Q: 5. Find the critical points of f(x) = 2x - e and classify using the second derivative test.

A:

Q: Find the Taylor series for each function centered at the given value of a (assume that each function…

A: Given,           fx=sinx , a=π2To find : Find the Taylor series for each function centered at the…

Q: f(x) = 8x + 2x²-x³, g(x) = 0 The area is (Type an integer or a simplified fraction.) gr -4 18- -18 3…

A:

Q: Using Part 1 of the Fundamental Theorem of Calculus, evaluate: Question Help: Video Message…

A: Given query is to find the derivative.

Q: 3 ¹/²₂ (62²¹ +42²) dæ Find Question Help: Video Message instructor Submit Question Jump to Answer

A:

Q: If f(x) = x² + 6, g(x) = x - 8 and h(x)=√x, then f(g(h(x))) =

A:

Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

A:

Q: (D4 - 1)y = sinx, Find Yp O a. 1 10 O b. 1 O C. - sin2x 15 -sin2x 1

A:

Q: 15. Find the average value of f on [0, 8]. 1 0 2 4 X

A:

Q: lim X-X 3-C 3+C 2

A:

Q: Evaluate the indefinite integral. 9dx x ln(2x) +C

A: The given integral is an indefinite integral . We solve this integral using substitution method .

Q: Find sin 2x, cos 2x, and tan 2x if cosx = sin 2x cos 2x tan 2x = 0) = 0 = 0 3 and x terminates in…

A:

Q: Question Evaluate the Integral ff (xy³ + 2xy) dA in the bounded region, D, where D is defined as D…

A: Please see the below picture for detailed solution.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: For y=f(x)=6x−1​, x=2​, and Δx=3 find ​a) Δy for the given x and Δx ​values, ​b) dy=f ′(x)dx​, ​c)…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: Find the first four term of the Maclaurin series of the function f(x)=√x at c=1. Give an estimate…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: Determine whether the series below is a geometric series, a p-series, an alternating series, or none…

A: According to question,Given Series,∑n=1∞ cos πn8n

Q: 6. A particle moves along the x-axis. The velocity of the particle at time t is 6t - t². What is the…

A:

Q: Find the surface area of the part of the sphere x² + y² + z² = 100 that lies above the cone z = √x²…

A:

Q: Our goal is to estimate the rate of change of d(t) at precisely the time t = 3 se This will be…

A: Given: dt=61.490-t