Suppose f: R → R is continuously differentiable. Show that if f'(x) > 0 for xo R, then there exists some interval I = (xo - 8, xo + 6) such that f|, : I → j bijective.

Q: Question 1 Prove: Vn> 1 € Z, 1+6+11+16 + · +(5n-4)= = n(5n-3) 2

A: The given problem is to prove that sum of series of 1+6+11+16+.....+(5n-4) =n(5n-3)/2.

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

A:

Q: Determine if each are linearly independent or linearly dependent

A: Introduction: Let us suppose that two functions f(x) and g(x) are differentiable on some interval I.…

Q: There is ALWAYS a fixed point in the region bounded by a limit cycle. True False

A: False

Q: he variable x is not defined in this context...solution is wrong

A:

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

A:

Q: how to solve the systems of equations please teach explain step by step also Verify if max or min…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 12 (e). Find a QR-decomposition of (i). A= 1 1 1 ( 031

A:

Q: If sets A={10,20,30,40}             B ={30,40,50,60}             C= {50,60,70}             U =…

A: Introduction: If the universal set (U) contains the subset A, then the complement of set A, denoted…

Q: 1. A random sample of 26 local sociology graduates scored an average of 458 on the GRE advanced…

A:

Q: of the vertices 4. and Cofa tetrahedron ABCD are i+j+k, and 31, respectively. The altitude from…

A:

Q: If A = {4k+5k € Z} and B = {4k+ 1|k € Z} then A= B.

A:

Q: Translate a triangle with coordinates A(2, 2), B(6, 2) and C(4, 4) with translation vector [4 7]…

A: The vector (4 7) is saying it goes 4 across and 7 up as they are both positive.

Q: Solution: Next, solve the system or max 2² +² subject to: x² + xy + y² = 3 L(x, y, A) = (x² + y²) +…

A:

Q: 23. Determine the area of he shaded region on each of the following geoboards if the unit of measure…

A: We know that area of Triangle is 12×Base×hight Consider ∆ADF Area of triangle ADF=12×DF×AF…

Q: variable followed by the exponential "e" with the exponent enclosed by ( ).Write the constant of…

A:

Q: Given the graph 2 1 2 O (H,E,D,A,F,G,E) O (A,B,C,B,E,D) O (A,B,C,H,E,G) O (A,B,A,B,A,B,A) 3 B2 4 D 4…

A: A walk in a graph is defined as finite length alternating sequence of vertices and edges. Vertices…

Q: The table provides various values, including select minimums and maximums, of a particular cosine…

A: Period of a function is the distance between repetition of value of a function.  For example In cos…

Q: Here is a statement and a proof for it. Read it carefully and select the correct answer below,…

A: Product of reals and proof

Q: 3. Which of the intervals (0, 5), (0, 5], [0, 5), [0, 5], (1, 4], [2, 3], (2, 3) contains a) 0? c)…

A: Given (0,5),(0,5],[0,5),[0,5],(1,4],[2,3],(2,3)  we know that the interval notation information open…

Q: Find explicit bijections between the following subintervals of R. (a) (0,1) and (1,∞) (b) (1, ∞) and…

A: a) f: (0,1) ---> (1,∞)  f(x) = 1/x

Q: 17. Let y₁ = x₁ + x₂ and y₂ = x² + x² + 2(x₁ + x₂ + x₁x₂). (a) Use the Jacobian to test whether…

A:

Q: Solve the following optimization problem subject to x1 + x₂ ≤ 4 x1 + 3x2 >= 4 #1,#2 -(₁-4)²(x₂ - 4)²

A:

Q: mnps.schoology.com to search An inequality is solved as shown below. Between which two steps is an…

A: There is an error Between step 1 and step 2   so option (b) is true

Q: Solve for the following system of linear equations using jacobi iteration. show complete sol…

A: The solution is given by using Gauss Jacobi method. The coefficient matrix of the given system is…

Q: You want to retire at age 65. You decide to make a deposit to yourself at end of each year into an…

A:

Q: ar tetrahedron in which D is the circ

A:

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

A:

Q: Convert 14 ft to fluid ounces. Round to the nearest hundredth if necessary. First fill in the blanks…

A: We know that the units in numerator and denominator cancel out. So if ft​​​​​3​​​​ is present in…

Q: (b) Prove the Principle of Mathematical Induction (Theorem 17) using the Least Number Principle.

A:

Q: yellow blue red X y N

A: We have to find the Lori's spinner result.

Q: Find the critical values of y = 2x³ = 3x² +7 Make a sign diagram below for y'. The numbers below…

A:

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

A:

Q: Let A and B be n×n matrices.Let v be an eigenvector of A corresponding to λ1 and let v also be an…

A: Given: A and B are two n×n matrices. Let v be an eigenvector of A corresponding to  λ1 and let v…

Q: Write y(t) = 2 sin 4πt + 5 cos 4rt in the form y(t) = A sin(wt + p) and identify the amplitude,…

A: Let us consider the equation y=A sinwt+∅ Here, A is amplitude, w is the angular frequency and ∅ is…

Q: Determine whether the following series converges. Justify your answer. 8 5k Σ (19)*.. 1+ k=1 a is…

A:

Q: et f: X → Y be a function. For any subset A C Y, let ƒ-¹(A) be the re-image of A in X. Show that…

A:

Q: Using Kruskal's algorithm, which one is the third edge? B 2 C 2 1 O Either AF or CH O CE or EF or DF…

A:

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

A:

Q: The following are data regarding number of minutes to accomplish a certain task: 121, 134, 145, 212,…

A:

Q: Write the expression in rectangular form, x + yi, and in exponential form, re (√5 - 1) 8

A: We have given an expression, 5-i8. To express given expression in rectangular form x+iy and in…

Q: A closed rectangular box with a volume of 96 cubic meters is to be constructed of two materials. The…

A: Let x be the length y be the width and z be the height of the box Min Z=2xy+2xz+2yz+xy Subjected to…

Q: 1. The volume of an ice cube is shrinking at the rate of 0.9 cm³/min. At what rate is the side…

A:

Q: A recipe for a grilled chicken sandwich uses the ratio 4:3 for the ounces of pickles to the ounces…

A:

Q: Solve the linear programming problem by the method of corners. Find the minimum and maximum of P =…

A: The method of corners is the graphical method to solve a Linear Programming Problem(LPP). We need to…

Q: 2. If A = { € Z|18/x} and B = {r € Z/6/x} then ACB.

A: Introduction: Set A is said to be a subset of Set B If every element of Set A is also present in Set…

Q: Test each of the following conjectures by choosing sets of numerical values for the variables a, b,…

A:

Q: (c) 4x = 5 (mod 15) 8x = 11 (mod 18)

A:

Q: 3. Solve the following Bernoulli's equations: (a) il (xxzy) 21 dy -5 dx +9y = y³e³2r

A:

Q: (i) Identify the critical numbers of f. (Enter your answers as a comma-separated list.) X = (ii)…

A: (i) The given graph is of f'(x).         So, critical points are x such that f'(x) = 0.     Hence,…