Let f be a function of x defined by ex f(x) + 15x-9x² =0. The derivative of f at x is f'(x) =

Q: Let R be the relation de ned on Z by aRb if 3a + 2b  0( mod 5). Prove that R is an equivalence…

A: To show that R is an equivalence relation we have to show that it is reflexive symmetric and…

Q: Find the area of the region bounded by the astroid x = 16 cos ³t, y = 16 sin ³t, for 0≤t≤ 2.

A:

Q: 3. Given the data 01 6 f(z)|19|23|93 259 construct the divided-difference table, and compute an…

A: NETWON DIVIDE DIFFERENCE TABLE IS GIVEN AS-:

Q: ) Find a vector parametric equation for the ellipse that lies on the plane z - (4x + 3y) = -2 and…

A:

Q: Sketch the image of A JKL under the similarity transformation composed of a size transformation…

A:

Q: Objective Function Maximize: Z = 30X₁ + 50X2 Subject to: Constraint 1: 2X₁ + X₂ ≤ 16 Constraint 2:…

A: In the given problem a linear programming problem is given. We have to find the value of the…

Q: 2. For which of the following series does the ratio test ensure divergence? Select all that apply.…

A: Let ∑un be a series of positive real numbers and let limn→∞un+1un=l Then ∑un is convergent  if…

Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 9 for f(x) = 1 T2(x) must be of the…

A:

Q: Parametric equation x=t^2 + 1, y=t-2. A. Eliminate the paramater and graph the parametric function…

A: Let us take firstly,  x=t2+1 and y=t-2then solve y for value of t,we get⇒t=y+2now,put this value in…

Q: • Let a) f: IR₁ ->R₂ & f(x) = - = b.) f: IR₁ → IR₂ & f(x) = 2x² +7 EXC 3X 3 2 Do some appropriate…

A:

Q: * U V Q Consider the graph given above. Add an edge so the resulting graph has an Euler circuit…

A:

Q: e Lay xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: We find required integral by parametrizing x and y .

Q: A positive integer N is said to be a congruent number if it is the area of a right triangle with…

A:

Q: 5. Let f(x) = and consider f(x) dx. 1+x² e [ ²₁ ƒ(² (b) Find the Taylor series of f(r). Replace f(x)…

A: Function fx=11+x2 is given. Our aim is to find the interpolation polynomial of degree n = 7 evenly…

Q: F · dr  where F  =  (x + 5z) i  +  (7x + y) j  +  (2y − z) k   and C is the curve of intersection of…

A:

Q: Consider the function f(z)= |z|2 defined for all z ∈ C. Answer whether the following statement is…

A:

Q: 5) Consider the following matrix: A = 1 2 20 -1 1 030 (i) Compute the adjoint of A. (ii) Use this to…

A:

Q: Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the following surface…

A:

Q: Solve as necessary to find critical values. Create a sign chart to solve the inequalities. Write…

A:

Q: Decision Variables: x1= Variety, x2= Bakery Supplies Objective Function: Maximize Z =…

A: Objective function MaxZ=18000x1+315000x2 subjected to constrain…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: The region is bounded by the curves x=1-y2, x=y2-1. We have sketched the graph of the region bounded…

Q: For a certain drug, the rate of reaction in appropriate units is given by 3 3 R'(t)= + 1+1 √t+1…

A: If rate of change of a function y=f(t) is y'=f'(t) then total function value from [a, b] is…

Q: Given the sets A and B below, prove or disprove each of the statements that follow. A = {n € Z | n =…

A:

Q: Use the method of reduction of order to solve the equations 2 (D²-1) ex - e-x

A:

Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral S = 64…

A:

Q: The Fourier sine series of the function is given by where f(x) = = (3x if 0<x< 3/3 3 if 3/3 ≤z <3 a…

A:

Q: Write x as the sum of two vectors, one in Span {₁,2,3} and one in Span {u4). Assume that {u.....4}…

A: The given vectors are u1=01-6-1, u2=5711, u3=101-6, u4=7-5-11, x=11-540. The set {u1, u2, u3, u4} is…

Q: An interior decorater wants to mount a picture that is 5 inches by 7 inches unto a wall. A picture…

A: Let, the uniform width of the picture is m inch.  Then, dimensions of the picture with the frame is…

Q: Can you answer part D please

A:

Q: Consider the Boundary-Initial Value problem where bn = and 8²u u 0 0 8.x² It u(6, 1) = 0, t>0 u(0,…

A:

Q: Consider the conservative vector field Ġ(x, y, z) 2x sinh (x – y) + 2axy, sinh (22 – y) − 3Vy − z2…

A:

Q: y" + 3y + 2y = 10 sinx.

A:

Q: Find the equation of the line give.. he intercepts 1.) x-intercepts=5 and y-intercepts=-4 2.)…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: We find required equation of tangent line to the given curve.

Q: 2. The first order differential equation 2ydx = (3y - 2x)dy is a. Non-exact and Non- Homogenous c.…

A:

Q: Solve the inequality. Enter solutions for x using interval notation. Note that answers provided in…

A: Solution:-

Q: A plane flies 910 miles with the wind in the same time it can go 660 miles against the wind. The…

A:

Q: 3. = 4x³y-y, y(1) = -3 (Solve the DE using separation of variables and linear order differential…

A: As per the policy of bartleby the provisions is to solve only one question at a time now I am…

Q: use variation (D²-1) = ex - e-x of parameters. r to solve the equation 2

A: Find Roots of auxiliary equation Complementary solution Particular solution by variation of…

Q: Find where the polar function f (theta) = 6 cos(theta) has a vertical tangents over [0,2pi]

A:

Q: Consider the Boundary Value problem Using the separation of variables method, the solution z(x, y),…

A:

Q: Solve the linear programming problem.. Maximize P=40x+50y Subject to 2x+y = 10 x+y ≤ 7 x+2y s 12 x y…

A:

Q: Describe with words and/or pictures the graph of:                      a. z2 + y =2…

A: A.  We can rewrite the equation such that it is able to plot the graph;…

Q: a. C. 2 1²2 [132] 0 b. 2 d. -2-1

A:

Q: The graph G1 is a planar connected graph. It has 24 edges, and 8 faces. How many vertices does G1…

A: 1.) Given that : edges (e) = 24                               Face (f)  = 8     By Euler's formula…

Q: 10. Identify the rotated conic. You can graph them in desmos.com implicitly. For the 3D functions…

A: We identify the conic.

Q: A mass weighing 4 pounds is attached to a spring whose spring constant is 49 lb/ft. Find the…

A:

Q: 46. Find the order of 7 modulo 172.

A:

Q: b a C c and d b and c b and d d and f e and f a and b c and f f d e elect all pairs of vertices…

A:

Q: If f is the Fourier series of g(x) = = f(x) = 32(-1)"+1 n²-² [16-z², What does f(-4) equal? f(-4)…

A: