5. The graph shows the path of a particle moving from left to right. Sketch the unit tangent vector when x -2. b) Sketch the principal unit normal vector when x-2. c) Which of the following two quantities could not Possibly be equal to zero when x = 2: a, or a ? Lex 3.5 3 2.5 2 0.5

Q: If f (t) = 3, find f'(r) and then find f'(3). Round your answer to exactly four signif f'(t) = ✔…

A:

Q: -10 (a) lim_f(x) x-5- (e) Is f continuous at = -5? Explain (f) lim_f(x) (i) lim f(x) x-2 (k) lim…

A: A graph of the function is given.We have to find all of the required values about limit, continuity,…

Q: Evaluate the following line integral along the curve C. [(x+y+z) (x+y+z)ds; C is the part of the…

A:

Q: (4) 2 What is the square of the (minimum) distance between W and P? Let W Span< = -2 be a plane in…

A: Given that

Q: Show that the group of automorphism of a cyclic group of degree four is of order two.

A:

Q: Prove that a group of order 45 is abelian.

A:

Q: Use Taylor's method of order two to approximate the solution of the following initial-value problem…

A:

Q: 23-32 Determine whether the geometric series is convergent or divergent. If it is convergent, find…

A:

Q: (f) If y₁ and y2 are two solutions of (2), their sum is also a solution of (2). (g) If y₁ and y2 are…

A: Since here explanation is not required so I can write only true and false.

Q: (5) If the series {a} satisfies that a₁ = 1.0₂ = 2, and a, – 40 1 + [1-5] (k > 1). [1-6] then ak =

A: Given series  satisfies that

Q: Aşağıdaki lineer sistem için Gauss - Seidel yonteminin T, matrisinin spectral yarıçapını bulunuz:…

A: As per the question we are given a system of linear equations and we have to find the spectral…

Q: Use Taylor's method of order two to approximate the solution of the following initial-value problem…

A: Iteration Formula:

Q: f the order of a group G is p2q2 with p and q as distinct primes, then G is not simple.

A:

Q: M n=1 n? + ln(n) 2n3 – 1

A:

Q: Find the largest interval which includes x = 0 for which the given initial-value problem has a…

A:

Q: Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe…

A:

Q: Evaluate the surface integral where S is the part of the cone z = 3-√√x² + y² above the z = 0 plane.…

A: Evaluate the surface integral,Where S is the part of the cone above the  plane.To find the value of…

Q: If A is an n x n matrix, then the trace of A - At is equal to

A: Please refer to the solution in next step.

Q: A laptop computer is purchased for $2100. After each year, the resale value decreases by 30%. What…

A: The formula for exponential decay is , where y is final amount,a is original amount b is decay…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform e-s s(s+1) a.…

A:

Q: 1. Solve the following Laplace equation on a domain exterior to a circle: 1 r2U00 1 Au = Urr + −Ur +…

A: Given:

Q: Show that G\index{1}×G\index{2} is abelian if and  only if both G\index{1} and G\index{2} are…

A: Claim :  G1 ×G2 is abelian if and only if both G1 and G2 are abelian.

Q: A homogeneous second-order linear differential equation, two functions y₁ and y₂, and a pair of…

A:

Q: 5. Solve by using power series: y' = x^y. Find the recurrence relation and compute the first 21…

A: The Power series methodWe find the series solution of the given differential equation .Since x=0 is…

Q: Find the dot product of a = and b = .

A:

Q: 1. The Laplace equation is defined as Uxx+Uyy = 0. Show that each of the following functions is a…

A:

Q: Create a bucket by rotating around the yaxis the curve y = 3 ln(x - 6) from y = 0 to y = 9. If this…

A: Curve:  from  to  and rotating axis is y-axis.density of liquid, ,height of liquid in bucket is,…

Q: Use integration by parts with u = -5lnz and du = zdz to find Do not include +C. -5zln z dz. Give…

A:

Q: Evaluate the following limit. lim 3 sin t lim t→0 t t e2t -2t-1 7t 7t 7 cos t+ 1² 71² 2 7 cos t+…

A:

Q: In the beginning of step 2 it says "Now,as, there always exists constant polynomial over Z" I got…

A: The original questions is:I  In step 2 of the linked solution it is given that

Q: A house sells for $555,500 and a 9% down payment is made. A mortgage is secured at 5% for 35 years.…

A:

Q: K Use the graph of g to find g(-6). g(-6)= Ay 404 8 6 + W A odu

A:

Q: Given: z=x²+xy³, əz du Find = uv² +w³, y=u+ve” when u -2, v = 2, w=0 23/06/2

A:

Q: Find a basis for the vector space spanned by the vectors O O O O 0 1 6 -1 2 The vector set B = = The…

A:

Q: T1=50 T2=15 T3=35 angle 1=50 angle 2=15 only HANDWRITTEN ans

A:

Q: (A) Using slack variables, determine the initial system for the linear programming problem (B) Write…

A: Objective Function:Maximize: P = 32X1 + 12X2Subject to:4X1 + 1X2 ≤ 41X1 + 5X2 ≤ 4X1, X2 ≥ 0

Q: Find the volume of the parallelepiped with one vertex at the point (-1,-1,-1) and adjacent vertices…

A:

Q: In how many ways can we paint the 10 rooms of a hotel if at most 3 can be painted red, at most 2…

A: We can find the total number of ways by using combination formula

Q: lim Evaluate the limit 0-4 01 Does not exist 9-x²-3 7x using L'Hopital's Rule if necessary.

A: The given limit is .We have to find the limit using the L'Hopital's rule.

Q: A radio station tower was built in two sections. From a point 82 feet from the base of the tower,…

A: Please refer to the solution in next step.

Q: Without actually solving the given differential equation, find the maximum radius of convergence R…

A: Given differential equation isStandard form: Divide the coefficient of y" so that y" does not have a…

Q: Verify the product law for differentiation, (AB)' =A'B +AB' where A(t)= To calculate (AB)', first…

A:

Q: Centroid. Find the coordinates of the centroid of the region bounded by the curves below. Your work…

A:

Q: Determine whether the Existence and Uniqueness Theorem guarantees the existence of a unique solution…

A:

Q: Solve the equation. (3x³ + xy)dx + (x³y - x²)dy = 0 An implicit solution in the form F(x,y) = C is…

A:

Q: ind the first component (x₁ (2)) of second iteration of the Gauss-Seidel method for the Ollowing…

A:

Q: Mümkün olan en yüksek dereceden polinomlar için aşağıdaki kareleme formülünü kesin eşitliğe…

A:

Q: psychologist uses two types of boxes with mice and rats. The amount of time (in minutes) that each…

A:

Q: Solve the following system by applying the Cramer's rule and find the determinant of matrix A (det…

A:

Q: Determine if the vectors 1 80-8 and 1 are linearly dependent or independent. Also determine if the…

A: The given vectors are