(c) Determine the equation of the tangent plane to the given function at a given point. (i) f(r,y) = 3 cos (r) sin(y) in the direction of v = (1,2) at point (,). (üi) f(x, y) = x2 – 2x – y? + 4y in the direction of v = (1,2). %3D (1, 1) at point

Q: the inverse operation of S54 is a) C51 b) C54 c) S51 d) S54

A: To find The inverse operation of S54.

Q: for 0 <x < 4, 4 - x Let f(x) = {0 for 4 < x < 5. Compute the Fourier cosine coefficients for f(x).…

A:

Q: Compute the required monthly payment on $80,000 30-year, fixed-rate mortgage with a nominal interest…

A:

Q: 4x + 4y + 3z + 4t = 22 2 x + 1 z +t = 3 시5

A: As per our guideline we are supposed to solve one asked question.Kindly repost other separately. The…

Q: 2) A family of 3 people went out for dinner in a restaurant. The cost of two dosai, two idlies and…

A:

Q: Identify the extrema (both minimum and maximum) of the given graphs below. If there is no extrema,…

A: We need to identify extremum in all the given graphs. As per policy, we are solving only the first…

Q: Find the distance from the point (-3,1,0) to the line d(t) = (1, 0, 2)t + (4, – 9, – 2) .

A:

Q: [1 2 31 What is the trace of matrix A? A = 4 -2 3 [4 7] O -6

A:

Q: Solve the differential equation (x + 1)y' + 4y = 5 sin x (x + 1)3 *> - 1.

A:

Q: Theorem 4.2.5 (Cauchy's mean value theorem). Let f : [a,b] –→R and o: [a,b] → R be continuous…

A:

Q: 5. A 1/4-kg mass is attached to a spring whose stiffness constant is 8 N/m. The damping constant for…

A:

Q: If A = {x:x [B| None of these Option 3 O Option 4 |A| = |B| |A| < |B|

A:

Q: 3. Prove the following using the epsilon-delta definition of a limit. d. lim 1 = 0 X→-o X

A: We have to prove limx→-∞1x2=0 using the epsilon-delta definition of a limit.

Q: Let H span {(-13, –1, -3),{-9,2, –2), (-1, –5, 0)}. A basis for the subspace H C R³ is { }. vector…

A:

Q: Given the demand function D(p)=√375−3p Find the Elasticity of Demand at a price of $18 At this…

A: The variation in demand in response to a variation in price is called price elasticity of demand. In…

Q: . Let R be a relation defined on the set A = N x N where (a, b) R (c, d) if a³ s an equivalence…

A: Introduction: Any two elements are said to be equivalent if they have an equivalence relationship. '…

Q: Which of the following is/are homogeneous equation/s? 1. 3y" - 2y +1 = 0 dy II. 3 dy? dy + 2y = 0…

A:

Q: .Use Laplace transforms to solve the initial value problems: (a) x" + 9x = 0; x(0) = 3, x'(0) = 4…

A:

Q: Let f(x) = x2". Use logarithmic differentiation to determine the derivative. f' (æ) =

A:

Q: 9) A concert audience of 400 people consists of adults, students, and children. The for children.…

A:

Q: the value o nd y = 3 is

A:

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

A:

Q: dz where C is cir

A:

Q: 7. Using Kirchoff's current law, the current for node c B gives: 1 + I = I3. Using Kirchoff's…

A:

Q: 1 2 1 2 5 1 3 7 2 4 9 3 -1 A = 2 -2 4 1 0 0 1 -1 0 0 0 0 1 -2 3 0 -4 2 B = 0 0 0 0 (a) Find the rank…

A: As per the rules we can only able to solve the first three questions So i solved the first three.

Q: (C) The cardinality of the set {1, 1}, {1, {1}}}is (a) 2 (b) 3 (c) None of these

A: Since , the elements are not distinct  so the cardinality is 1 . answer is (c).

Q: 2 4 -11 0 3 2 1 1. Let A= and C Let a=4 -2 -6 5 and 3 =. Compute the following (a) A+B (b) B+C (e)…

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

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 22 sin (x), a =…

A:

Q: Suppose z = (0, 4), then arg(z) = {+ 2nn,n E R %3D

A:

Q: Find the domain, vertical asymptote, and x-intercept of the logarithmic function. (Enter your domain…

A:

Q: Jse the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 1 3 -5 1 5 A = -5 -11 17 3 -53…

A: By Bartleby policy I have to solve first 3 subparts only. Repost separately remaining questions.

Q: Let V=span{cos2x,sin2x,cos2x}.  Consider the following statements:   1. {cos2x,sin2x,cos2x} is…

A:

Q: Find the distance between the skew lines: x = 9 + 6t, Y = 5+ 6t, z =7–6t x = 7 – t, - y = 7, z = 6 +…

A:

Q: Find a basis for and the dimension of the solution space of the homogeneous system of linear…

A:

Q: Use the Fourier transform method to solve du k at ax2-Yu, -o∞ 0 u(x, 0) = f(x).

A:

Q: Consider the points A(1, –1,4), B(2, –3, 2), C(-1, –2, 2), and D(4,3, –6). (a) Find the volume of…

A: Given the vertices A(1, -1, 4), B(2, -3, 2), C(-1, -2, 2) and D(4, 3, -6) of the parallelepiped…

Q: 6. (23) Answer: Show your work or explain your reasoning here: I 7. (39) Answer: Show your work or…

A:

Q: 3. Prove the following using the epsilon-delta definition of a limit. 1 c. lim = 0 X→+o x-

A:

Q: Q6. Use the method of Variation of parameters to solve (i) y" +y : tan x.

A:

Q: Section 6.1 p. 542/544 # 18 In the following exercises, find the radius of convergence R and…

A:

Q: Match the two dimensional shaded region below to the solid formed by rotating the region about the…

A: Introduction: A cylinder is a three-dimensional solid that holds two parallel bases joined at a…

Q: 7 converges or diverges. If it converges, find its sum. Determine whether the series 3m m 2 Select…

A:

Q: Construct a graph with vertices U,V,W,X,Y that has an Euler path, the degree of U is 1 and the…

A: We Know that  An Euler path is a path that uses every edge of a graph exactly once.   We have to…

Q: dy X = y² – 5y +6 dx For the Differential Equation а. Find all equilibrium solutions and use the…

A:

Q: Consider the following. W = {(5t, t): t is a real number} (a) Give a geometric description of the…

A:

Q: Find a potential function f for the field F. 7y j+ y² +z? 7z 21 F = (In x+ sec(10x + 10y)) i+ sec…

A: Given that F = (ln(x) + sec^2 (10x + 10y)) * i + (sec^2 (10x + 10y) + (7y)/(y ^ 2 + z ^ 2)) * j +…

Q: Express the radical using the imaginary unit, i. Express your answer in simplified form. ±V-49 + %3D

A: Given y=±-49 Task: Express y using the imaginary unit i. where i=-1 (imaginary number)

Q: Does the function appear to satisfy the hypotheses of the Mean Value Theorem on the interval [a, b]?…

A: The Mean Value Theorem says that there exists a point c in the interval a,b where f'c equals the…

Q: The average of two numbers is 42.25, and their product is 1647. What are the numbers? Enter them…

A: Given average of two numbers a and b is 42.25 Product of two numbers a and b is 1647 Average of a…

Q: 2. Minimize: Z 20X1 + 10X2 + 80X3 %3D Subject to: X1 + X2 + X3 > 6 2X1 + 4X2 + X3 = 20 2X1 + X2 < 5…

A: We have to find the solution to the given problem.