Consider the function f(x) = (x4-16) ² Find all critical points, local minima, local maxima, absolute minima and absolute maxima. Write the answer clearly and include nonexistent extrema.

Q: x²y" xảy” = 5y y": y"" = = X|A x २/४ y

A: Three ODE's are given, (1) x2y''=5y (2) y'''=xy (3) y''=xy. We need to find right match for above…

Q: point) Let f(x) = x² + x¹ + ²x + e-2x. What is the behavior of each term as x → ∞0? Use "infinity"…

A: as x tends to infinity , x^2 tends to infinity   As x tends to infinity , x^-(1) =1/x tends to zero…

Q: Consider the following vectors: -O If by applying the orthogonalization process (before normalizing…

A:

Q: Prove by induction that, for every n\geq2 n+1 (1-2)(1-¹)(1-(1-1/2) = ² 2n

A: To Prove: We have to prove by induction that for every n≥2, we have:…

Q: The number N() of supermarkets throughout the country that are using a computerized checkout system…

A:

Q: A flower shop is offering two delivery specials called The Week of Roses and My Heart Grows Fonder.…

A:

Q: For any two vectors u and v, prove that . (u.v)² +\ux vf=|uf|vf and ↑

A:

Q: Evaluate the triple integral of the function f(x, y, z)=-3x9y over the solid tetrahedron bounded by…

A: The required triple integral is given in the following image :

Q: Given the graph and using Djikstra's algorithm 04 0 1 05 2 02 1 2 3 B2 4 D 4 LL 3 5 сл C 3 E 7 What…

A:

Q: Find the doubling time for 3.3​% inflation using the methods below.   a. logarithms or a graphing…

A: Answer)

Q: f A= {1,2,3,4,5,6,7,8}    B= {1,2,3,4,5}    C= {7,8,9,10}    U= {1,2,3,4,5,6,7,8,9,10} What is A∩

A: INTRODUCTION: The group of members that both of the supplied sets have in common is known as an…

Q: (b) Determine the particular solution of dy dx OURATION a = 2e³x-2y, y(0) = 0 dp

A:

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral 15…

A:

Q: Let I be the tetrahedron with vertices (2, 0, 0), (0, 5, 0), (0, 0, 3) and the origin. Write f(x, y,…

A:

Q: Identify the next pattern TYYY 1 pts

A:

Q: = A positive integer is called perfect if it is equal to the sum of its positive divisors other than…

A:

Q: lx 5 0 x4√√(25-x²) dx

A:

Q: Find all smooth curves that intersect the curves x² = y +Cx at the right angle.

A:

Q: 5. Suppose that f: R → R is a continuously differentiable function (of class C¹) and that there is a…

A:

Q: A farmer has 1,000 acres of land on which he can grow corn, wheat or soya beans. Each acre of corn…

A: Using simplex method

Q: Goodlife Medical Center has acquired a new equipment to be used in laser operations. It classifies…

A: Given: Goodlife medical center has acquired a new equipment to be used in laser operations. There…

Q: 5. Bacteria in a certain culture increase at a rate proportional to the number present. If the…

A:

Q: - Evaluate the followings: (i)-r' (4) (ii)-(2) (ii) (-3) Г (iv) Γ(0.5)

A:

Q: 3. For the circuit below, solve for the total resistance if R₁ = = = 4 202, R₂ = 20, R₂ = 20, R₂ =…

A:

Q: Compute the direction and magnitude of the vector AB given the points A(2, 4) and B(7, 8).

A:

Q: Find gcd(432, 524) and find integers "s" and "t" such that gcd(432, 524) = 432*s + 524*t. Write your…

A:

Q: 2. Let V be the set of all ordered pairs of real numbers, and consider the following addition and…

A:

Q: A woman can bicycle 26 miles in the same time as it takes her to walk 8 miles. She can ride 9 mph…

A:

Q: The lengths ths of two opposite edge of a tetrahedron a between md b; the shortest distance, these…

A:

Q: →→ If vectors a, b and are coplanar, show that →→ a. a 1- b a.b с a c= 0. →→ L

A:

Q: Say a set A is countable if there is an injective map f: A → N. Show that the product of countable…

A:

Q: Let B = {B₁ = [], B₂ = 1²²= 1·²=6 D be a basis of M2x2 (R). Suppose that T: M₂×2 (R) → P₂(R) is a…

A:

Q: Given the differential equation v' + 3v = (t * cos(5 * t²))u(t) Using Euler's method to compute v(t…

A:

Q: lodine-131, with a half-life of 8.04 days, is used in the treatment of thyroid disorders. Assuming…

A: The radioactive decay is governed using the equation: N(t)=N012tt12. Here, N0 is the initial amount,…

Q: 7.3 Isomorphisms of Interval-Valued Fuzzy Graphs In this section, we consider various types of…

A:

Q: S 0 x6e-ax dx

A:

Q: f(x)=8-x^2, x≥0 f^-1(x)=

A:

Q: need complete solution

A:

Q: Find an example of a function ƒ: N → Z which is (a) injective but not surjective (b) neither…

A:

Q: In writing your final answer, follow the format 2x^5y-3x^3ye^(x)+x^3-2y^2=0. Strictly no spaces…

A:

Q: Use the graph of f'to (a) identify the critical numbers of f, and (b) determine whether f has a…

A: We know that,  1. Critical number= x- coordinate at which f' is zero 2. relative minimum is present…

Q: Please use a double integral to derive a formula for the area of a trapezoid with parallel sides of…

A:

Q: c,d,e

A:

Q: Given the graph and using Djikstra's algorithm C 05 04 01 2 02 1 2 B2 4 D 4 3 3 5 3 E 7 What is the…

A: To start Djikstra's algorithm, we first sort the edges according to their weights.      AF (1) <…

Q: Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no…

A:

Q: Find the perimeter and area of the following figures. Give exact answers in terms of , when…

A: Perimeter is sum of length of all sides of a figure.  For a semi circle, perimeter = πR Here R is…

Q: 12 m 14. For the right triangles below, find the exact values of the side lengths b and a. If…

A:

Q: The temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane…

A:

Q: 8. Mother places 10,000 pesos in an account for her child upon his birth. Assuming no initial…

A:

Q: Find the Fourier Transform of δ(t - 10) then solve for the following: Suppose r is a continuous…

A: