as a #1 Assume that Z= z (xvy) is implicitly determined as function of x, y by the equation Sin (x-y) + sin(y-z) + sin(z-x)= 2 (a) Find E and Iz 825 ez 8x ду, √3-1 and at the 유 (6) Evaluate |point (x,y,z) = (TT ㅠㅠㅠ 36'6 (c) Find the equation of the tangent platte to the given surface at ㅠㅠ ㅠ the point (+1+1=7). (苦) 6 6

Q: Let f(x)=sin(x), find each of the following: find the second derivative, the thrid derivitie and the…

A: The objective of this question is to find the second, third, and fourth derivatives of the function…

Q: Find the curve's unit tangent vector. r(t) (2 cos ³)+(2 sin ³1) k. Find the curve's unit tangent…

A:

Q: A. Find S'(t) B. Find S(20) C. Find S'(20)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (a) Domain of f(x). (b) r-intercepts and y-intercepts. (c) Vertical asymptotes and holes. (d)…

A: Here we have given a function: .

Q: If z = sin () and x = ln(u) and y = v4, find the following partial derivatives using the chain rule.…

A: Given that

Q: (f'(x))² = 4 (52 – 8) - 25 = 20x 32 (f'(x))2 into the surface area equation above to find Surface…

A: To show

Q: Let ā = (5, 1, −1) and ỗ = (2, 1, 4). Find a. b.

A:

Q: Find the tangent plane to the equation 2 = x²-y² + 3y at the point (-3,0,9)

A: The equation is:  −6x+3y−z=9 Or it can be also written as:  6x−3y+z=−9Explanation:Step 1:Step 2:

Q: 12(a) sketch the Cardioid Ө r=1+ cos 0 b) Find the area of the region inside the cardioid r=1+ cos…

A: Given cardioid equation is

Q: Write out the first five terms of the sequence with, [(1)"] determine whether the sequence…

A:

Q: Website Profit The latest demand equation for your gaming website, www.mudbeast.net, is given by…

A: the log-on fee should be $1.15.Thus, the largest possible monthly profit is $321.25.Explanation:Step…

Q: 6 x = x= Find the point of intersection for the lines v(t) = (−7, −7, −9)t + (−3, 1, 3) and w(u) =…

A:

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A:

Q: Find the length of the indicated portion of the curve.. r(t) = (7 cost) + (7 sin t) + (√51) k. Ostst…

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: You can see that the amount of medication enters the therapeutic window quickly, but goes below the…

A: Solution is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Are the areas of the two shaded regions below the same? f(x) = 1 (1+x²)2 y 1 1 0 I IT 4 g (0) = cos²…

A: To find the area of shaded regions

Q: The population, P, of a bacteria colony at t hours can be modelled by: P(t) 450+130t+ 15t² + 2t3 a.…

A:

Q: Suppose that and 4 -7 A = = 2-5 (a) Evaluate 3A-2B. 8 6 B = ( 1 -31 ) (b) Evaluate (BA)T.

A: (a)     3A−2B=[−44​−33−9​] (b)          (BA)T=[44−86​−28​]Explanation:Giventhat,…

Q: Write out the first five terms of the sequence with, [(1-8)] determine whether the sequence…

A:

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: •Proper integral: An integral which has neither limit infinite and from which the integrand does not…

Q: Use a linear approximation (or differentials) to estimate the given number. e-0.01 Need Help? Master…

A: Given that  consider the function Linear approximation of f(x) about the point x=a is given by now,…

Q: Find the area of one petal of r = 9cos30

A: r=9cos⁡3θFor the area of one petalr=0cos⁡(3θ)=03θ=−π2,π2θ=−π6,π6−π6≤θ≤π6

Q: πT Find the length of the curver = 11sece over the interval 0≤0 Round 3 your answer to two decimal…

A: Answer is option C)19.05. Explanation:

Q: 7. Determine if each of the following represents an exponential function. If it does, find the…

A: The general form of the exponential function is , where b>0.

Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

A:

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of the question is to determine the nature of the given logical expression: (p AND q)…

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after…

A:

Q: 7 63 tan (a+b); cosa for a in Quadrant III and sinẞ: for ẞ in Quadrant IV. 25 65 tan (a+B) Find the…

A: tan(α+β)=−162457​Explanation:

Q: [ In(x² + 1) dx

A: integrate

Q: მ2 Use the chain rule to find 3 and 4, where 8s5t, y=5s + 6t = x² + xy + y², x = 8s + 5t, y First…

A:

Q: Let A be an augmented matrix for a system of three linear equations in three unknowns. Suppose that…

A: • The system has infinitely many solutions.• The solution set…

Q: Find the interest rate needed for an investment of $4000 to grow to an amount of $8500 in 4 years if…

A: To find the interest rate needed for an investment of $4000 to grow to anamount of $8500 in 4 years…

Q: Determine the absolute error (as a decimal) and the relative error (as a percentage) in…

A: The given integral is The Trapezoidal rule

Q: Find two unit vectors orthogonal to both = (2, -3, -2) and = (0, 5, 6). Give exact values (no…

A:

Q: Use Green's Theorem to evaluate the line integral of F = (x5,2x) around the boundary of the…

A:

Q: need help understanding please help  Question 1 Find the volume of the solid obtained by rotating…

A:

Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x)=(2x-27)(x²+60)

A: given function

Q: 17 16 15 14 13 12 11 10+ 2 46 8 10 12 14 16 18 20 22 The per capita consumption of breakfast cereal…

A: C'(14)=0.331 C'(17)=-0.0575 •The rate was changng more rapdly in 2004. Explanation:Approach to…

Q: Exercise: Solve the equation d²y dx² + y = tan x

A: The given differential equation is

Q: Let s(t)= v(t) == 6+3 + 45t² + 108t be the equation of motion for a particle. Find a function for…

A: We need to find velocity and acceleration.

Q: Practice

A: The objective of this question is to identify the midline, amplitude, phase shift, and period of the…

Q: 11-X2 0 dx x = Sin O the trig aluate using the bstitution x=Sino

A:

Q: 5 A polar curve is given by r = (3-cos(0)) What is the rectangular equation of the tangent line at 0…

A:

Q: MY NOTES On what interval(s) is the function f(x)=x11-11x10 11x10 +24 both decreasing and concave…

A:

Q: Solve by method of sines and cosines f3e3x sen² (e3x) dx

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

Q: if f(x) = 2+2x - 4x sqaured find f prime of 5

A: The objective of this question is to find the derivative of the function f(x) = 2 + 2x - 4x^2 at the…

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)in…

Q: A graphing calculator is recommended. in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by…

A:

Q: Find the length of the indicated portion of the curve. r(t) (3e cost) + (3e sint)j+3e'k. - In4sts0…

A: Given:To find:The arc length is calculated as-