n2 + stn°(=)f it exists. Find the value of P

Q: (c) Prove that x - 11 |x| + 11 |x² + 36| 36 for all real r.

A:

Q: 1 (iv) f(x) on [-}, 1]. x* + x + 1 x + 1 (v) f(x) on [-1, }). x? + 1 (vi) f(x) on [0, 5]. x? - 1

A: Given: (iv) f(x)=1x5+x+1, -12, 1 (v) f(x)=x+1x2+1, -1, 12 (vi) f(x)=xx2-1, 0, 5 To find: Maximum and...

Q: Find the coordinate matrix of x in Rn relative to the basis B'. B' = {(4, 3, 3), (−11, 0, 11), (0, ...

A:

Q: (+) 1. Let a, = sin- for n EN = {1, 2, 3, . }. sin n+1 (a) Determine if the sequence {an}=1 converge...

A:

Q: Is the series divergent or convergent? Prove using direct comparison test. a + 2 ava + va[ sin a | a...

A:

Q: A right cylinder of radius r is inscribed in a hollow sphere of fixed radius a. The

A: Given, a right cylinder of radius 'r', is inscribed in a hollow sphere of fixed radius 'a'. The twoc...

Q: x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18 %3D %3D %3D

A:

Q: If m` E = 0, then E is measurable.

A:

Q: Decompose the following fractions into partial fractions: s+1 a) s +7s +6 5 b) (s +3) (s +3s+2)

A:

Q: 8. Let A = Z* U {0}, define relation R on A × Z* by (k, l)R(m,n) → kn = lm. (a). Prove that Ris an e...

A: In part (a) we use the definition of equivalence relation i.e., reflexive, symmetric and transitive....

Q: Q5. Find the Laplace Transform of the funetions x(t) and yıt), which satisfy the coupled first diffe...

A:

Q: 2. Prove directly if the statements that are true, give counterexamples to disprove those that are f...

A:

Q: A basketball team sells tickets that cost $10, $ many tickets of each kind have been sold?

A: Given, a basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold...

Q: Find AB and BA. 1 0 [0.73 -0.81 A = and B = 0 1 0.86 0.45 Part: 0/ 2

A:

Q: Below is an alternative but equivalent definition of the definite integral of f: R R between a and b...

A: (ii) We are given the formula as,  Jnf, a, b=b-an∑k=1nfxk We are asked to calculate J5f, -2, 8 for f...

Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1 converges or diverges.

A:

Q: Evaluate e f'(x) sin f(x) dx. Your answer should not contain f, which is a differentiable function w...

A: Some of the properties of integration  If I=∫f'(x) g(f(x)) dx then using substitution t=f(x) then t...

Q: Let f(x, y) = lx 2y+1 be,a two-variable function, and the graph of z = l¤ – 2y + 1 is sketched below...

A: The graph a three dimensional surface is represented by the equation: z=f(x,y). If the graph of z=f(...

Q: (c). What is the probability that a five-card poker hand from a standard deck has one pair of non-fa...

A: Required probability= 0.95078

Q: (3) Evaluate the flux integral where S is the surface given by 22 =1 +y°, 0<= s 4, oriented upwards ...

A:

Q: 4. Use mathematical induction to prove that V n E z* u {0}, [T*=o(2i + 1)! > ((n + 1)!)“**

A: In the mathematical induction, we show that the statement is true for n=a where a belongs to the set...

Q: Compute the x(1) and x(4) for the function x(t) that satisfies the initial problem x"(t) + 2x'(t) + ...

A:

Q: Answer the following questions: 1. Bring out the different uses and the application of Business Math...

A:

Q: answer 3

A:

Q: Find the vector component of y = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v ort...

A:

Q: : Which of the following sets are closed under addition? (1) The set of all matrices in M22 such tha...

A:

Q: . Let an = sin sin for n eN = {1, 2, 3,...}. n+1 (a) Determine if the sequence {an}n=1 converges or ...

A:

Q: Use the Comparison Test to determine if the series converges or diverges. 5n – cos2n n3 + n2 + 1 n=1

A:

Q: funchoN fo -2x3 + lox218X nd the derivativef"x)=

A: Given f(x) = 2x3 + 6x2 - 18x - 54f'(x) = 6x2 + 12x - 18

Q: Let W be the region bounded by z = 36 - , y = 6x, and the plane z = 0. (a) Calculate the volume of t...

A:

Q: Calculate the arc length of the polar 6 sin e + 8 cos 0, 0<0<T. curve r =

A: Solution

Q: Let x, y ∈ Z. (a) State the contrapositive of the statement: ♠ If xy and x + y are even, then both ...

A: Contrapositive for the statement "if A then B " is "if not B then not A" Given statement:   If xy an...

Q: 4. Which of the following vertices are adjacent to vertex B? B E FO Figure 1 O A) AEDC B) AEFC C) AE...

A: As per Bartleby guidelines we're supported to answer only one question when two or more questions ar...

Q: 200 1. The function: P(x) = 2x + 0 < x < o, models the perimeter of a rectangle of %3D dimensions x ...

A: Introduction: The extremum of a function is a very significant property of a continuous function. Th...

Q: 4. A golf ball is shot into the air and modeled by the function h(t) = - 4.7t + 13t + 0.3 where h is...

A:

Q: Is the solution x -16

A: Given 2x + 8 &gt; -16

Q: 7n is a 15 n° Use mathematical induction to show that 5 3 natural number for all n E N. + +

A:

Q: 7. Find the minimum of, f (x1, x2) = 2xỉ – x1x2 + 2x3 + x3 – 2x1x3 - And check the second order cond...

A: Given f(x1, x2 ,x3 ) = 2 x12  - x1 x2 + 2 x22 + x32 - 2 x1 x3for critical points put fx1  ,  fx2 ,  ...

Q: 1. Let an = sin sin for n eN = {1,2,3, .}. n+1 (a) Determine if the sequence {an}n=1 Converges or di...

A:

Q: 3. Prove indirectly. Let Q = {n/m | m,n E Z and m # 0}, and I = R – Q. If r e Q and sE I, then 2r – ...

A:

Q: What technique should you use to solve the ODE that arises from the Euler's equation associated with...

A:

Q: The ages of the father and his sons are 45 and 3 years respectively. How many years will the father ...

A: Given ages of the father and his sons are 45 and 3 years respectively. We want to find after how man...

Q: Answer the following. All fractions are in lowest form. 5x² - 3x + 18 dx x(9 – x-) dr 12. r³ (Vr² – ...

A: As per our  guidelines we are supposed to answer only first question. kindly repost other parts in t...

Q: Let V be the set of all ordered pairs of real numbers (x1, u) with u > 0. Consider the following add...

A:

Q: Find o (in degrees).

A: Given,       

Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x) ...

A:

Q: Let fGt) =1 on(o,½) and fat)=0 on [/a, 4nJ, with fCttaP)-fCt), Finid the cosine series for fCt) Cext...

A:

Q: Double Tower of Hanoi contains 2n disks of n different sizes, with two disks of each size. You must ...

A: To find the solution, use the closed-form solution to the Tower of Hanoi. The minimum number of step...

Q: For a 4x4 linear system, Cramer's rule requires to calculate 4 different determinants.

A:

Q: 1. Prove that i = (0, 1, 1), 2 = (1,0, 1) and üz = (1, 1,0) form a basis of R. 2. Find the component...

A: