Q9. Find the equation of the tangent plane to f(x, y) = x ln(y) +x²y+3 at the point (x, y) = (2, 1). A. z = 2x + 2y – 2 B. z = 4x + 2y – 4 C. z = 12x + 10y – 24 D. z = 12x + 10y – 25 Е. z 3D 4a + бу — 7 F. z = 3x + 2y – 1 - -

Q: (a) What is the probability that boys and girls alternate in a random row arrangement of 3 boys and…

A: Given, there are 3 boys and 3 girls. and arrangement is in alternate form which may be BGBGBG or…

Q: 2. A 50-g mass is suspended by a spring attached to the ceiling, such that when it is at rest, it is…

A: To sketch and find the equation of motion of the mass.

Q: NAME CLASS DATE Integrated Mathematics I Unit 3 Practice LESSON 12-1 Identify each geometric figure…

A:

Q: Let 1 9 i = Find a basis of the subspace of R4 consisting of all vectors perpendicular to v.

A:

Q: Suppose thay a drug is administered to a person in a single dose, and assume that the drug does not…

A: Given: x1(t) and x2(t) are amount of drug in the body and urine at time t hours respectively and,…

Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find | () dr.

A:

Q: Let v be a vector in R" and define a function T, : R" → R by T,(x) = x v. (a) Show that T, is a…

A: here we can use simple conditions that if a linear function preserve scalar multiplication and…

Q: You want to put a 5 inch thick layer of topsoil for a new 31 ft by 28 ft garden. The dirt store…

A:

Q: Q2) find a homogeneous linear differential equation with constant coefficients whose general…

A:

Q: Y OU (a) Find the least residue of 639 modulo 10. (b) Use Fermat's little theorem to find the least…

A:

Q: Let A3 x 3 is a real symmetric matrix and d1 and 12 are the eigen values of the matrix. The 2 1…

A:

Q: nd the inverse Laplace transform of the function as + b G(s) : s2 + B2

A: In this question, the concept of Inverse Laplace Transform is applied. Inverse Laplace Transform The…

Q: - Suppose that A and B arenxn matrices and A is invertible. Invent and prove a theorem that…

A: Solution

Q: 4. Draw the planes with the following Miller Indices, indicate the coordinate. а. (3, 0, 1) b. (1,…

A:

Q: Use Laplace transform and its inverse to solve the initial-value problem. y' = 2et; y(0) = -1 %3D…

A:

Q: (b) There exists LE R such that L4 Size(O(n)).

A: Given below clear explanation

Q: Prove that the function f(x) = Root3(x) is uniformly continuous on [−1, ∞). (Hint: consider the sets…

A: Given that fx=3x we have to prove that fx is continuous in interval [-1,∞) lets consider the set…

Q: Fin o all SoinEl ons 6 x EIO mod

A: For x in {0, 1, 2, . . . . . 43}, value of 6x ranges from 0 to 6x43 = 258. Now 6x = 10 (mod 44)…

Q: 4. The equation f (t) = models the bacterial count, in thousands, for a sample collected from pond…

A: solve when f(t)> g(t)

Q: 2. If the equation is the polynomial curve on affine plane f (x, y) = xy2 – y³ + xy + 3 = 0 a. Find…

A:

Q: 25.4 Solve the following problem with the fourth-order RK method: d'y dy + 0.6-+ 8y = 0 dx dx where…

A:

Q: 1. Find the maximum value of r+y subject to the constraint r + y? = 18.

A:

Q: Let B be a 5 x 5 matrix such that each row of B contains every number from the following list…

A:

Q: Question 11 Let k be a real number and let ( be the line whose equation is given by 1 1 +t teR. k If…

A:

Q: 6. Let V be a vector space of dimension n and W a vector space of dimension m. Let L: V → W be a…

A:

Q: (2x + x²y³)dx + (r³y² + 4y³)dy = 0 %3D

A:

Q: There are 5 performers who will present their comedy acts this weekend at a comedy club. One of the…

A: Given in question,  There are 5 performers they  will acts their comedy

Q: اسدملط Find the akeaf fak the fallowing egions: Area enclosed by the diagram V= sin3

A: Introduction: A polar curve is represented as r=fθ. When we determine the area of the region bounded…

Q: A tank is discharging water through an orifice at a depth x (m) below the surface of water whose…

A: Simpson's 1/3 Rule: Let f(x) be a function defined on a,b, then the Simpson's 1/3 rule is given by:…

Q: ular steel plate 3.74 in. by 9.34 in. by 1.00 in. thick with a 2.00-in.-diameter hole in the center…

A: Introduction: The volume of the cuboid with length l, width w, and thickness h is given by, V=lwh…

Q: 2 Let L be the line in R3 that consists of all scalar multiples of the vector -2. Find the…

A: The solution is given as

Q: Show that the n-th tetrahedral number O_n is given by S_n= n(2n^2+1)/3

A: A tetrahedral number corresponds to a 3-Dfigure in the shape ofa tetrahedron made of spherical…

Q: lef P, P, 6 P P,2R, then Theavems 田 ucfip)u(f; P,3 How. proof@. first suppase that P,=Pu{x*§ - let…

A:

Q: :旧-日 1 1 1 2 4 k2 + 6 3 Consider the linear system: 1 For what values of k does this system has…

A:

Q: give an example of a power series with an interval of convergence of -5<x<3 or state why no such…

A: The given interval is: -5&lt;x&lt;3 Add 1 from to sides of the inequality:…

Q: The slope of the surface z ry in the r-direction at the point (2,3) is. slope of this surface in the…

A: The slope of the surface z=xy2 in the x direction at the point (2,3) is =∂Z∂x2,3 . Now ∂z∂x = y2.…

Q: Solve the following problems. Write your solutions and answers in your notebook. 1. A circular…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: 1. Calculate the below questions using basic properties of projective geometry: a. Suppose there are…

A:

Q: #12, Arepresents He loine i HER Which pt. on A is closest to the pont P(2, -1,4)! A) (s/2, IM, W4)…

A:

Q: equilibrium

A:

Q: A Ferris wheel has a radius of 35 feet. The bottom of the Ferris wheel sits 0.7 feet above the…

A:

Q: Graph the following equations Y = x 2. %3D 3

A:

Q: [1 0] A =La A 1 what is Ak ?

A:

Q: (a) Find the inverse of the matrix 3 -6 -4 A = -9 -4 1 -2 -1 A-1 (b) Use the answer from part (a) to…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: The mathematics department is hiring a new faculty member and the five person hiring committee has…

A: Using plurality method we can find the winner.

Q: 4. Use the contour integration to find f G dx. 1 x4+16

A: Answer: π/(16√2)

Q: Given the joint distribution X # of Red 1. 2. 6/252 12/252 3/252 12/252 64/252 36/252 3/252 3/252…

A: By definition of Conditional Probability,       P(X&lt;Y|Y=3) = P(X&lt;Y n Y=3)/P(Y=3)…

Q: Find the general solution of the system: 0\ 3 = -1 1

A: We have to find the general solution of given system

Q: 4. The equation f (t) = models the bacterial count, in thousands, for a sample collected from pond…

A: Given that,The equation f(t)=7tt2+5t+4 models the bacterial count, in thousands,for a sample…

Q: Solve the following boundary value problem: uxy + Ux = 0, u(x,0) = +2, u(0,0) = 2 = cos (x)

A: To find- Solve the following boundary value problem: uxy + ux = 0, ux, 0 = cosx + 2, u0, 0 = 2