3 [(x²-y²)² du dt Evaluate: ²₁₂³ [(x² - y²)²] x+y

Q: Direction: differentiate the following: 5x 4. tan 5. у -sin(6x'-1)

A: 4. Let y=tan5x4 ⇒dydx=ddxtan5x4⇒dydx=sec25x4×ddx5x4⇒dydx=sec25x4×54dxdx⇒dydx=54sec25x4

Q: dz Suppose z is a function of x and y, and tan vy? + x² = z*e®v. Solve for dz and dy

A: The given function is                                  tan y2+x2=zxe6y

Q: NIKKI'S WALK At the beginning of the semester, Nikki was walking 60 minutes a week. She wants to add…

A: Beginning of the semester, she walked 60 minutes a week. She wants to add 5 minutes each week

Q: Detail solution please.

A: For discussing the order of growth, Big-Oh notation is useful. Big-Oh help to compare upper bounds…

Q: 4. If two lines do not intersect, can a third line be drawn perpendicular to them?

A: This is a problem related to intersection of the line. Based on the general formula and concepts we…

Q: Find the solution of the given IVP y" – 6y + 15y = 2 sin(3t), y (0) = -1, y (0) = -4 %3D The Laplace…

A:

Q: na job fair, 3000 applicants applied for a job. Their nean age was found to be 28 with a standard…

A: given that.   X~N( μ , ?^2 )   μ=28    , ?=4      Z-score =( x - μ )

Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(x,y, z) = 4.x +2y + z subject to r…

A:

Q: 13. The area which is inside the circle r = 10cos O and to the right of the line r = sec O:

A: 13. The given curves are r=10 cosθ and r=secθ To find: area of the region bounded by the given…

Q: tan(4 + 3i)

A: Given that tan (4 + 3i) We have to find the value of tan (4 + 3i) Formulae: sin z = sin (x + iy) =…

Q: 1.) The number of unhealthy days in selected cities are given below. Construct a Frequency…

A: For the given data, we need to construct a frequency  distribution table with classes of "7" and a…

Q: 8.16. LetA- = ܠܝܐܚܘܝܐ 2241F 1 . 1 0 -1 0 -1 0 1. Compute det(A) and det ((-4)-¹).

A:

Q: Question 3. Suppose the function u(x,t) solves the wave equation utt = Upx, prove che identity u(x +…

A: Suppose u(x,t) satisfies the wave equation utt=uxx. Then ux,t is of the form u(x,t)=fx-t+gx+t

Q: 1. Solve for x: 6-3(4+x) = -3(-2x+6) 2. Solve for x: et - 2 = 10 3.

A: Given: 1) 6-3(4+x)=-3(-2x+6) 2)  ex/3  -2=10

Q: 5. a. Sketch the Fourier series (on the interval - L ≤ c ≤ L), and determine the Fourier…

A:

Q: Graph the function by setting the moving points correctly. Provide your answer below: -10 -5 (-3,0)…

A:

Q: 1. Which among the following functions have an inverse? (a) f(x) = 2x2 – 5 (b) g(x) = 3x -8 (c) h(x)…

A:

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy)+ log3(x – y)' Do as indicated. 1.…

A: First we change the base if logarithm to e.

Q: At the end of the first month of school there were 729 students failing Math 1. reduced by a third.…

A:

Q: Question #2 A consumer research firm wants to compare three brands of (Goodyear, Yokohama, and…

A:

Q: In a potato race, 8 potatoes are placed 6 feet apart on a straight line, the first being 6 ft from…

A:

Q: A third of number y equals half of 100. nimbery =

A: Given:A third of the number 'y' = Half of 100To calculate:y = ?A third of y = Half of 100 =…

Q: Supply the missing steps on equation below x•dy (x² + y² ³/2 Hol 2a B 47 xVx² +a² -a

A:

Q: Find the area of the region which is inside the circle r = 2 and outside the cardioid r = 2(1-cos+).…

A: Given