- 8(x,y) = { -5x²y³ 3x4+7y6 if (x, y) = (0, if (x )

Q: 2. Consider the function f whose graph is below. 1 0 (a) What is the domain of f? (b) Explain why f…

A: Graph of the function is given We have to find its domain and one to one function. Note:    Since…

Q: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 7 10 8 9 93…

A:

Q: Q4/ A. Solve the set of equations by using matrix method (2x₁ - 3x₂ + 8x₂ = 6), (x₂ + 7x₂=-4),…

A: A detailed solution is given below.

Q: Q2/ A: Find the Fourier Series of the function : f(x) = X + π if - n< X < n and f(x+2n) = f(x)

A:

Q: QUESTION: 2. (3D — 1)y = 6e³x ANSWER: 2. y = ₁₂ex/3 + = 4 ³3: e³x

A:

Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

A:

Q: t) Identify the type of quadric surface defined by the equation 9y²- and find all x-, y-, and…

A:

Q: Evaluate lim (√9x² V92 _5 +1+ 5x+1+3x). - x418

A: Find limit of function

Q: 2 Determine the following functions (f+s)(x) = (c-g)(x) = (p * f)(x) = (g / c)(x) = (s + k)(x) =

A: Here ,  We have given some of the functions with some operations between them and now we have to…

Q: 1 ƒ(4 + h) − ƒ(4) - X h (Express numbers in exact form. Use symbolic notation and fractions where…

A:

Q: Use row reduction to show that a a 1 6% 1 с = 62 2 (b − a)(c − a)(c — b)

A:

Q: [1 2 4] A = 3 3 1 6 k 32

A: Given :A=124316k32Matrix is invertible

Q: Find the vector equation for the line of intersection of the planes 4x + 5y - 4z = -2 and 4x + 2z =…

A:

Q: The graph below is the function f(x) -5-4-3-2 Find lim #111 Find lim #111 Find lim x-1 3 2 1 ON B…

A:

Q: dz dt If (z=x. y), where x = cos (t) and y = sin (t) 03. Use the chain rule method to find

A:

Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: A company must pay a $304,000 settlement in 4 years. (a) What amount must be deposited now at 8%…

A:

Q: Q2- By using Chain Rule, find əu/əx, əu/əy, du/əz at (x, y, z) = ("/4-¹/2, -¹/2) u = esin-¹p. p =…

A: By using Chain Rule, to find ∂u∂x, ∂u∂y, and ∂u∂z at x, y,z=π4, 12, -12.u=eqr sin-1 p, p=sin x, q=z2…

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: Find the solution of the DE (cos(x) + xcos(t))dt + (sin(t) – tsin(x))dx = 0 a. tcos(x) + xsin(t) = c…

A:

Q: Does it mean that the limit of the function 2y + [[2-y]] / y^2 + y -2 as x approaches -2 from the…

A: limx→a+f(x) represents the Right hand limit )L.H.L)and  limx→a-f(x) represents the Left Hand limit…

Q: A = -3 0 17 1] 506 803

A: Topic =Matrix

Q: B: Evaluate the following: r (4)r (²) 1-

A:

Q: (5, 4) and 6 = ( − 7, 8). Compute the following vector projections. Let a = proja b proj; a =

A:

Q: y = -14x+49. X-7

A:

Q: ds Total sales of a new product sometimes follow a logistic model. If S(t) denotes the total number…

A: Concept: We have S(t) the total number of units sold at time t P0=4580P1=18623P2=39689 Here P0 is…

Q: 3 5 -2 4

A: We have given a matrix  Let,  A=35-24 determinant of A is given as  A=3×4--2×5=12+10 A=22 Cofactor…

Q: Exercise 3 nd the order of the following differential equations: a.) y" - 2(y")² = (y'-2y)³ d²y V…

A:

Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: given that f(x)=1/x, calculate (f(7+h) - f(7))/h

A:

Q: Solve the problem. The population P of elephants in a wild animal preserve changes with time (in…

A:

Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Since, you have posted a question with multiple sub-parts, as per company policy we will solve first…

Q: 7. S X e dx - X et + 4e¯x

A: As we know from the exponent rule: xaxb=xa-b And the common integral is: ∫1ax+bdx=1alnax+b+C   The…

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x+ 2 2x + [2x] x²+x-2

A:

Q: 5. The f'(7) for y=v

A:

Q: Decompose 52+7 x³ + 2x²-x-2

A:

Q: Find the limit of the following. lim 0/6 lim 9/¹ 0 sin 9- 0 0- sin 0- T 6 1 2 T 6 1 2 ...

A:

Q: 4 1 82

A:

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

A:

Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) 2 In(kx) 1 y² = −x² (2 + ¹n(kx²)) 2 d. y² =…

A:

Q: Kindly solve it

A: Given differential equation  2xy'+y=2x

Q: -8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

A:

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) 2…

A:

Q: Identify and sketch the domain of f(x, y) √x-y In (1 + y - x²)

A: ,

Q: Find the length of the curve x = П √√4 sec²t-1 dt, on-sys 6 The length of the curve x = A y A П =√√4…

A:

Q: Part 1: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: Concept: A circle is a collection of all points in a plane that are uniformly distanced from a fixed…

Q: Q2. Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) =…

A:

Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 15(855) +…

A: F(s)=15(s-55)+80

Q: The condition is, H (7) = 17.9; 260 1+ Ce-0.004 (7) 17.9= ⇒1+C₂-0.004(7) ⇒Ce-0.004(7) 260 17.9 -662)…

A: a differential equation is an equation with one or more derivatives of a function. The derivative of…

Q: B: use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: We can solve it by Lagrange Interpolation Formula given below