(a) Assume that f(x, y, z) and F (x, y, z) are arbitrary differentiable functions such that f(x, y, z) = 0 and F(x, y, z) = 0. Prove that af aF OF Of dy - ?x' дz ?х ' дz dx OF Of af OF dy dz . dy dz -

Q: Use the quotient law for tensors to show that the array -2xy -2xz /y²+z²-x² -2yx x²+z²-y² -2yz -2zx…

A:

Q: B)Prove (cose + i sine)" = cosne + i sin ne

A:

Q: 11. In line integrals, if x(t) has a derivative equal to 0, with y'(t) and z' (t) not equal to 0, A.…

A: To Select: The correct the option(s): 11. In line integrals, If x(t) has a derivative equal to 0 and…

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: In this question, the drawing completed by the artist per month is given. After 12 months, the…

Q: B)Convert r = √2 cos(0-) to cartesian.

A:

Q: C. A music teacher has surveyed 515 students. The results of the survey are as follows: 258 students…

A:

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

A:

Q: 3. Test the convergence of the series an Convergo ¹00 2n=1 n*+2n²+1 no +3

A:

Q: 9.6.11 The pink figure is a dilation image of the black figure. The labeled point is the center of…

A: The pink figure is smaller than the black figure. So the black figure has been reduced. So, a…

Q: Q5A) Find volume of body from above Z = √√4 - x² - y2 and below Z = 1 using Triple integration.

A: I

Q: Uxx + Uyy = 0 |u(0, y) = u(x, b) = 0, u(a, y) = u(x, 0) = 1.

A:

Q: Berno deposits $30,000 into an account paying 3.25% annual interest, compounded quarterly. How much…

A:

Q: Suppose that a large mixing tank initially holds 1200 L of water in which 25 kg of salt have been…

A:

Q: Find the solution of the initial value problem y" - 2y3y 15te²t, y(0) = 2, y'(0) = 0. = NOTE: Enter…

A:

Q: Suppose that f: R² R is a function given by y³ x² + y² f(x, y) = 0 for x = y = 0. Show that f(x, y)…

A:

Q: 214 20. Are the matrices A= 0 2 3 and B= 027 -334 -140 similar? 234

A: The 2 matrices are not similar.

Q: Explain why cannot be a) What are hypersurfaces? ace higher-order hypersurface drawn. How will you…

A: In geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and…

Q: fy=sin-¹ find Zy

A:

Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 6…

A: Here we use simple method which is used to find deviation

Q: Prove Ĵ Ha (as) th(x) e che = Hm (x) Hn(x) e^ dx = √x 2.11.8mm

A:

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: 8. Show that 18!= -1 (mod 437). 9. Using Euler's Theorem, find the last two digits of 44443333 10.…

A:

Q: 13 37) Solve the following simultaneous linear D.E. [D - 1 D-21 D-5 2D-7] = (67) 74

A: We have to solve the given simultaneous linear DE.

Q: 1. Write an expression for the evaluation of the integral sin x² dx by the trapezoid rule using n =…

A:

Q: Qn4. The formation of loop for optimal solutions in a transportation problem should End with minimum…

A: To find: the condition for formation of loop for optimal solutions in a transportation problem.

Q: 4. Prove that (a + b) ≤a+b≤ a + b for any real numbers a and b. (Hint: Use cases when a, b ≥ 0; a, b…

A: 4. To show: -a+b≤a+b≤a+b Please post the multiple question separately.Here i answered 1st question…

Q: Events A, B, and C are mutually exclusive; so are events D and E. Compute the probability P (A | E)…

A:

Q: 12. Triangle LMN with vertices L(-9, -1), M(-3,-4), and N(-5, -8): a) 270° counterclockwise rotation…

A: Given: Triangle LMN with vertices L-9, -1, M(-3, -4) and N(-5, -8). a) 270° counterclockwise…

Q: (4A)Find area bounded by y = 0, y =√x-x² using double integration.

A:

Q: Home Work: Solve the following system of equations. -1 -30 45 18-0 -17 32 3) 1033 ܠ ܟ ܒ 1 -3 2 -2…

A: We can solve the given system of equations.

Q: (cos) dydx 2π Option 1 Option 3 TE Option 2 Option 4 1 T 2

A:

Q: Find the volume of the region E bounded by the paraboloids z = x² +₁² and z = 72 - 7x² - 7x².

A:

Q: Consider the taylor expansion of f(xo-Ax) in the neighborhood of Xo, the coefficient of Əx is

A:

Q: 5 Estimate the minimum number of subintervals to approximate the value of √5x+3 dx with an error of…

A: For an integral ∫abfxdx error estimation in trapezoidal rule Tn ≤Mb-a312n2 M is the maximum value of…

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the…

A:

Q: y+ 4 2 4. 4 2 0 -2 -4 y 41 2 4 x

A:

Q: 4) 4 6 9 0 0 5 3 -3 2 -2 X2 01 X3 5- 0 = 44 66 124

A:

Q: Consider the following differential equation: d² u =f dx² du(1) dx du (0) = α, a ER dx where x € (0,…

A: As per the question we are given an initial value problem as : -d2u/dx2 = f With initial condition :…

Q: (¹) A thoroughly cooked pizza is removed from a 400° F oven and placed in a kitchen that is 75° F.…

A: Here by given information we can use Newton's law of cooling. We have to use calculator to find the…

Q: Obtain the 5th term of the power series of sin(x) for a value of x = 4.55. 4

A:

Q: Solve the following simultaneous linear D.E. 4 [2D [2D+1 D+ D-4 11 {} D+3)=(e) -

A:

Q: 6 Determine which of the two drawings, (a) and (b), represents the graph G. 1₂ e2 V3 €4 eg es U7 US,…

A: We find a required drawing of graph G.

Q: let a=2+7i b=4-2i Choose the correct result of a/b* O (6-361)/20 O (-6+361)/20 O (-6-361)/20 O…

A:

Q: 3- Let a: (F(R), +..) → (R, +..) be the map defined by a(f) = f(3)-f(0). Then o is a ring…

A: Given: σ:Fℝ, +, ·→ℝ, +, · be the mapping defined by, σf=f(3)-f(0) To determine: Whether σ is a ring…

Q: 5x The resulting integral of S x3+x²+4x+4 What is the value of b? dx is In [(x²+a) ²/b x+d + e…

A: We have to find the value of b where ∫5xx3+x2+4x+4dx=lnx2+a1bx+d+etan-1x2+c

Q: Q1A) The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.…

A:

Q: 7) Find the unit tangent vector for the parameterized curve: r(t) = cos ti+ sin tj+ sin tk, 0≤t< 2π

A:

Q: The cost function for the manufacture of x number of goods by a company is C(x) = x3-9x2+24x. Find…

A: Given that the cost function for the manufacture of x number of goods by a company is…

Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = 1 using Triple integration.

A:

Q: B)Convert r = √2 cos (0-) to cartesian.

A: