For the sequence an= its first term is its second term is its third term is its fourth term is its 100th term is 9 n+1'

Q: (a) Find the stationary points of the following functions, and classify them: (i) f(x) = 3xe²™ (ii)…

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

Q: Find out the pivots of the following matrix and comment whether it is singular or not. 2 0 0 1 10 0…

A:

Q: Find the f(x) which, when rotated around the y_ axis gives the least possible area.

A: Surface area means that the total area covered by the surface of the something. The unit of…

Q: 10. Graph the function f(x)-2-2 using graphing techniques showing all the steps. Find the domain,…

A:

Q: Calculate the following integral 1 Lc (z − 1) (2³ — 1) dz for each of the following contours C. In…

A:

Q: π VII. Calculate ||vxw|| if ||v|| = 2, v w = 3, and the angle between v and w is

A:

Q: Consider the system described by * = Ax, where, A = [1] Suppose x₁ (0) = 1 and x₂ (1) = 2. Find…

A:

Q: what is the Euler number of the region Shown in the Figure blew?

A: To determine the Euler number of the region.

Q: 3. Let R = 4500Q - 36Q² be the revenue R for a firm producing output quantity Q > 0, with total…

A: The profit function is given by        P = R – C          = (4500Q – 36Q2) – (2Q3 – 6Q2 + 900Q +…

Q: Solve the linear programming problem to the right by applying the simplex method to the dual…

A:

Q: Find the area of the region between the curves y = sin(лx/2) and y = x. Area between curves = 0

A: For given region we have to find the area.  The graph is given as:

Q: ³=1³+2³+3³+...+ n³ = n2(n + 1)2 4

A:

Q: A firm operates two types of machines A and B as shown in the table. Type A Type B 3 2 5 3 Floor…

A:

Q: A deep sea divingbell is beinglowered ata constant rate. After 11 minutes, the bell is at adepth of…

A: We have to find the average rate of lowering per minute. For that we need to determine the change in…

Q: 1. (a) Let AC R" and ƒ : A → Rm. Suppose a is a limit point of A. Prove that if there exist…

A:

Q: A snowball in the shape of a sphere has a volume of 145 in³. Over the course of the day, the…

A:

Q: In this course, we investigated polynomial, rational, exponential, logarithmic, sinusoidal, and…

A: Functions :PolynomialRationalExponentialLogarithmicSinusoidal and other trigonometric functions.

Q: Can you help me with this problem. Can the vector [1 2 ] be written as a linear combination of the…

A: Given: A vector 1 2 To Check: Whether the vector 1 2, can be written as a linear combination of the…

Q: Y. (y² cos x - y) dx + (x + y²) dy = 0

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: 65. Final exam, Winter 2015. A matrix A is said to be skew-symmetric if AT = -A. For instance 03 М-…

A: 65.(a) A is skew symmetric matrix then AT=-A Using the results: (1) det(AT)=det(A) (2) det(cA)=cn…

Q: Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.

A:

Q: The function f is defined by 1 1 - exp(z)* f(z) Show that f has poles of order 1 at the points z =…

A:

Q: How many six-letter “words” (sequences of letters with repetition) are there in which the first and…

A: We have to find how many six letters are to be formed with repetition in which first and last letter…

Q: (b) Based on the following functions, sketch the level curves in the function's domain. Hence draw…

A: We shall use MATLAB to perform the following operation. (i) The MATLAB code to sketch the level…

Q: Σ²n=0 Radius 2" (x - 2)" n! Interval

A:

Q: What is the minimum number of zeros an odd degree function can have? Explain why this is the case.…

A:

Q: Marbles A bag contains three red marbles, three green ones, one lavender one, six yellows, and five…

A: This problem is permutation and combination problem. Given:  A bag contains three red marbles, three…

Q: Determines f (3). Calculate lim f (x). X-3 Is the functionf (x) continuous over the interval? -3 < x…

A:

Q: A city has seven fire districts and 585 firefighters. The number of firefighters assigned to each…

A: Total Firefighters= 585                                 District 1 2 3 4 5 6 7 Total…

Q: Solve the linear programming problem using the simplex method. P=40x₁ + 120x2 Maximize Subject to X₁…

A:

Q: Solve by applying the simplex method to the dual problem. C=25x₁20x₂ + 25x3 +30x4 X₁ + X₂ 513 X3 X4…

A:

Q: 4. Точка движется по прямой. Ее ускорение задается формулой t a(t) = sin 2t + cos 2' Найдите…

A:

Q: 4. a. Use the Euclidean Algorithm to find the ged(816, 3612). 4. b. Use part 4a. to find the…

A: Recursively use the Division Algorithm (to get a quotient and remainder). The last non-zero…

Q: 3. 4. "(x) = {x²³ - ex +1,x≤0 ,x>0 Is f continuous at x = 0? Why or why not? (x + 21,x ≤ 1 ((x -…

A: Given  fx = x3+1x≤0exx&gt;0                         limx→0- fx  =  limx→0- x3+1…

Q: oblem 2. Use the Fundamental Theorem for line integrals to evaluate (a) F(x, y) = ( (1 + xy)e²v,…

A:

Q: Let I be the simple, closed, anticlockwise contour whose points lie on the circle {z € C : |z + 4| =…

A:

Q: = +0.9x Find the centre of mass of the 2D shape bounded by the lines y between x = 0 and x = 3.3.…

A:

Q: Your college newspaper, The Collegiate Investigator, has fixed production costs of $74 per edition…

A: Fixed cost is $74 per edition. Variable cost is $0.42 per copy. Collegiate sells it for $0.62 per…

Q: FIGURE 21 26. Figure 22 shows the region enclosed by y=x³-6x and y=8-3x². Match the equations with…

A: In this question we can find the area of the region enclosed between the curve.

Q: Use the Bisection method to compute the root of et- 3x = 0 correct to three decimal places in the…

A: Let fx=ex-3x We have to find root in the interval 1.5, 1.6.

Q: Prove. If S' is a subring of R', then f^-1(S') = {a∈R | f(a)∈S'} is a subring of R.

A:

Q: Find the Frenet (TNB) frame for the following function at the point (√√3,-1, 3π): r(t) = (2 sin (t),…

A:

Q: In a class of students, the following data table summarizes how many students have a cat or a dog.…

A:

Q: 4. Calculate the average rate of change for the function f(x) = 4x4 + 3x² - 2x + 4 over the interval…

A: To calculate the average rate of change for the function f(x) = 4x⁴ + 3x² - 2x + 4 over the interval…

Q: 10) For the following systems of linear equations, does Cramer's Rule apply? Answer yes or no. If…

A:

Q: An auto insurance company classifies its customers in three categories: poor, satisfactory, and…

A: Eeach year, 30%0.30 of those in the poor category(1) are moved to satisfactory(2), and the remaining…

Q: Approximate the stationary matrix S by computing powers of the transition matrix P shown below.…

A: Let the stationary matrix S = xyz then  we have         S P = S   such that  x + y + z = 1…

Q: Draw the flow graph of an equivalent system with smallest number of delay elements. x[n] I 0016 y[n]

A:

Q: Simplify the expression if ||v|| = 7 and ||w|| = 3. (Give your answer as a whole or exact number.)…

A: We have to solve the expression using given values.

Q: I need help solving this problem can you do step by step so it can help understand it and can  you…

A: