Use the contour map to calculate the average rate of change from A to B and from A to C if a = -4. B. 4. C=a 2. c=0 -6 -4 6. (Use decimal notation. Give your answers to two decimal places.) from A to B: from A to C:

Q: Find the root of the function ((x) =sin x -e in the interval (0,1) using the formula g(x) =aresin (e...

A:

Q: Please answer with explanation. I will really upvote

A:

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

A: The complete solution is in below

Q: What is the Maclaurin series expansion of f(x) = ln(3-2x)? Find its interval of convergence. Approxi...

A:

Q: +00 (-1)" n n! n=1

A: We have to check whether given series is convergent or divergent.

Q: a. Find the Laplace transform F(s) = f(t)} df thể füñction f(t) + sin(8t), defined on the interval t...

A: Laplace transform of the function

Q: onsider the series (In(2n + 1) - In(2n 1)). n=1 ) Let an = In(2n + 1)- In(2n - 1). Does {a,} converg...

A: We will first see whether given sequence in (a) convereges or diverges.

Q: 3. Parametrize the circle of radius 5 having centre (8, –3) and hence find a tangent vector and the ...

A: We have to find parametric equation, tangent vector and tangent line for the given circle.

Q: Find the number of ways to arrange three tennis player in a bench

A: Sitting arrangements

Q: 6. (a) Suppose U, W are subspaces of V. Show that (U + W)° = U°nW°. (b) Suppose V is finite-dimensio...

A:

Q: A bucket that weighs 4.6 pounds and a rope of negligible weight are used to draw water from a well t...

A: Please find attachment for the details solution

Q: Explain why the integral is improper. 12 | x - 3)3/2 EMaple Generated Plot O At least one of the lim...

A:

Q: 3. A rectangular prism with dimensions 6 m x 4 m x 8 m (l x w x h) is shrinking. 8 m 4 m 6 m Answer ...

A:

Q: 2" Let an = 100+ and bn 1 for n >1. (n +3)! en en+1 (a) Show that {am} is monotone and bounded below...

A: The main objective is to check the convergence of the sequence and series.   As per our guidelines I...

Q: 1. In this exercise you will prove that disc {(x, y) : x+y < 1} is an open subset of R, and then tha...

A:

Q: Ex. 54 Show that the following additive group is cyclic and give its generator. 1. H2 the set of all...

A:

Q: Problem 3. (a) Determine the cosine of the angles of the triangle whose vertices are A(1, –2, 1), B(...

A: The law of cosines generalizes the Pythagorean formula to all triangles. It says that c2, the square...

Q: The statements -p → (q -→r) and q → (p *.v r) are logically equivalent true False

A: To check if the given expressions are equivalent or not construct the truth table for both of them t...

Q: Which expression gives the remainder when P(x) = 4x^2 + 2x – 5 is divided by x - 2? P(5/4) O P(2) O ...

A:

Q: D) How an un 04 A ) Use sandwich theorm to find the limit of the function g(x) as x approach zero. a...

A: By the Sandwich theorem , if f(x), g(x) and h(x) be three function such that f(x) &lt;g(x) &lt;h(x) ...

Q: In(n) n=1

A:

Q: 3+i. You must provide a brief justification of why the solutions satisfy the equation and why there ...

A:

Q: plz solve it within 30-40 mins I'll give you multiple upvote

A:

Q: z + 29; The value of integral (cosx,5z",6z+z sin x)·(x,y,z) ds where s is the surface of sphere x² +...

A: Please find attachment for the details solution 

Q: P f(x) = (x2 – 4)² - 4)?

A: Given question is Given the function f, discuss its relative maximum and minimum points, the interva...

Q: For spring-mass model x" + ' + x = cos(wt), find the practical resonance frequency, and the steady p...

A: For the spring mass model  mx''+bx'+kx=Fcosωtsteady periodic amplitude is given byCω=Fk-mω22+bω2prac...

Q: Consider the series (In(2n + 1) –- In(2n - 1)). n=1 (a) Let a, = In(2n + 1) – In(2n – 1). Does {a,} ...

A: We first check whether the given sequence in (a) is convergent or divergent.If it is not convergent ...

Q: y" - 6y' - 7y = e' sint Find Particular solution cnly

A: Note. : - According to guidelines here solution of only firt question .

Q: (1) For every ring R and R-module M below, determine whether M 0 and prove your answer. (a) R= Z, M ...

A: We evaluate elementary tensors and prove that they are 0. 

Q: Consider the graphs below, which give m(x) in the left graph, in black, and n(x) in the right graph,...

A: Given composite function is h(x)=n(m(x)) Differentiate h with respect to x h'(x) = n'(m(x)) × m'(x) ...

Q: f(x) = x^3 - 9x^2 - 45x - 27. Find the remaining zeros given that -3 is a zero of f(x). O (-3, -6 + ...

A: Given f(x) = x3 - 9x2 - 45x - 27

Q: Determine whether each of the following series converges or diverges using comparison test, behavior...

A:

Q: 4. Let a1 = 1 and an+1 = (an +1) for n> 1. %3D (а) Find az, аз and a4.

A: (a). Given a1 = 1   and   an+1 = 13(an+1)

Q: Solve the differential equation

A:

Q: Consider the series > (In(2n + 1) In(2n - 1)). n=1 (a) Let a, = In(2n +1) – In(2n – 1). Does {a,} co...

A:

Q: 6. (a) Suppose U, W are subspaces of V. Show that (U +W)° = U°nW°. (b) Suppose V is finite-dimension...

A: Multipart:    (a)  Suppose ,  U  and  W  are subspaces of V. We need to prove that ,  U + W° = U° ∩ ...

Q: Let C: |z-i|=9. Then ſ. 1-z -dz = z(z+1) а) 0 b) 2ni c) -2ni d) 4ni e) — 4лі f) 2п а. b. С. d. е. O ...

A:

Q: 1. Find the distance between the two planes - 2y + z=4 and z-2y+ :-1 HI

A:

Q: Find the inverse Laplace transform fſt) if F(s) is F(s) - se (s+1Xs+2) Solution1:

A: Inverse Laplace transform of the function

Q: sample of Oriental ginseng contains 0.4 mg of active constituents in each 100 mg of powdered plant. ...

A: Given: 100 mg of powdered plant contains 0.4 mg of active consituents. To determine: Total grams of ...

Q: Let K and L be nonempty compact sets, and define d = inf{|r - y|:1€ K and y E L} This turns out to b...

A: Solution is in given below  

Q: 6. (a) Suppose U, W are subspaces of V. Show that (U +W)° = U° nW°. (b) Suppose V is finite-dimensio...

A:

Q: nethod; Inz VUna)-y

A:

Q: It is known that at a distance of 1.5 metres from the siren, the sound intensity is 4 watts per squa...

A:

Q: Consider the series E (In (2n + 1) – In(2n – 1)) . n=1 (a) Let an = In(2n + 1) – In(2n 1). Does {an}...

A: The main aim is to check the convergence of the series based on the sequence of  nth partial sum of ...

Q: Your uncle has $90,000 that he wishes to invest now in order to use the accumulation for purchasing ...

A: Given: The total amount available for investment is $90,000. Investment A is available every year an...

Q: Let f(x) be defined as f (x) = e* + 2x? a) Starting with the initial interval [-2,2], perform three ...

A:

Q: Factor: x^3-12x^2+47x-60=0 when 5 is a root. * O (x-3)(x-4)(x-5)=0 O (x+1)(x-4)(x-5)=0 O (x-3)(x-4)(...

A:

Q: 4.-lf 8 -1 -1 b = 1 3 Solve the system of linear equations Ax = b, where A is the matrix in Problem ...

A:

Q: Use the definition of the functional limit to prove the following: (a) lim 4x + 3 = -5. x→-2 (b) lim...

A: