• Use sequential continuity to show that any polynomial P(x) = x" +an-1x"-+...+ ao is continuous from R to R. • Give an example of a polynomial that has no zeros in R

Q: Hello. Pls help me out this letters b and c. Thanks!

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Q: 1.) Water is pouring into a conical vessel 15 cm deep and having a radius of 3.75 cm across the top....

A: step by step clear explanation is given .Have a look 

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: (-1)"3nx" n² – 5 V. Determine the interval of convergence of > n=1

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Q: a) Use the bisector method to guarantee a solution for the equation 8x³ -16x = -7 in the interval [0...

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Q: (s-4)3 5.

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Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 - 3x1 = 12 + X...

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Q: 1 3? 4 1 1 5' 6 1 Find an explicit formula for the sequence , -,- 2? ..

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Q: Which polynomial gives a quotient of (3x^2 + 2x + 4) and a remainder of 19 when divided by (2x – 3)?...

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Q: and 5. dR ontl

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Q: The PCGCC prides itself on its "nouveau" architecture. In particular, one of the reception halls is ...

A: (b)

Q: Use two different paths to demonstrate that the limit: lim(7,9)→(0,0) x*y?+(x=y)?

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Q: Remark:You will have 5 questions regarding the same problem but in each question the numbers will be...

A: Given: An advertising company offers three types of mediums: television, newspaper and radio. The co...

Q: Please solve the problem solving below. 1. Forty-one students each took an exam in math, biology an...

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Q: 5 Let L = and U = Let Aj = -3 A2 = A3 = 2 8 A4 = -2 -2 Which one of the following statements is corr...

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Q: The temperature T (in degree centigrade, °C) in a solid metal sphere is given by the function e-(2+y...

A: Given T(x,y,z)= e-(x2+y2+z2)1)The rate of change of temperature in the direction of X-axis is ∂T∂X∂T...

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Q: :Test the following series for convergence -n 1. 2n +5 'n.:

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Q: dH RH² /1 + R² dR In H

A: The given problem is to solve the given differential equation. We can solve by using separation of v...

Q: (5p^2+5p-26):(p+3) * 5p-12, R 1 O 5p-10, R 4 5p-10, R 5 5p-13, R 8 Find the remainder when (x^9 + 2x...

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Q: The following table gives values of x and y y 1.2 4.2 2.1 | 6.8 2.8 9.8 The value of x corresponding...

A:     x     y   1.2    4.2    2.1   6.8     2.8    9.8

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

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Q: 3.) Let r € Z. If z is odd, then (r² + 3)(r² + 7) is divisible by 32.

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Q: *. A 5 m pole, leaning against a wall slips in such a way that its base is vd moving away from the w...

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Q: The augmented matrix is given for a system of equations. If the system is consistent, find the gener...

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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 ...

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Q: a) Use the bisector method to guarantee a solution for the equation 8x³ -16x = -7 in the interval [0...

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Q: 4. Let a1 = 1 and an+1 = (an + 1) for n>1. (a) Find a2, az and a4. (b) Use induction to show that an...

A: We have to prove that the given statement using induction.

Q: 5. S sen 8 cos/3@ de

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Q: Please explain your answer in detail. Use Cramer's rule to solve the system. 2x, + X2 = 12 - 3x1 + X...

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary functions....

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Q: (a) Prove that for all n E N. (x + v3)" – (x – V3)" V3 is a polynomial with integer coefficients. (H...

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Q: Let R be a commutative ring. Then R is an integral domain if and only if ab= ac implies that b = c, ...

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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

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Q: auchy's m d g(x) = e %3D

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Q: QUESTION 12 The weight, in kg, of 15 cows are recorded below. Find the weight, in kg,that correspond...

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Q: Find the derivatives of the following functions (use derivate definition): i) sen x 11) cos x

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Q: In(n) n=1

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Q: Exe use ing di fferent orders of in tegration, write six integral of SIC dv , where E is the solid s...

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Q: Vs are in R' and v3 = 0,

A: Given,  if  v1, v2, v3, v4, v5 are in ℝ5, and v3=0.

Q: Consider the plane shown in the following figure: Let 4, b, c, d 40. A general equation correspondin...

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Q: 3x? dy - 8 (у + 1) %3D 0 y+1

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Q: (1) E(-1)n+1 (3n)! 3n+1 n=1

A: (f). Given series is ∑n=1+∞(-1)n+1(3n)!3n+1

Q: The temperature T (in degree centigrade, "C) in a solid metal sphere is given by the function e Answ...

A: Given T(x,y,z)= e-(x2+y2+z2) 1)The rate of change of temperature in the direction of X-axis is ∂T∂X ...

Q: 16y" + 8y' + y = x +6 3.

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Q: Find the general solution of the differential z-y+3 equation y' I-y

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Q: Use Cramer's rule to solve the system. 2x1 + X2 - 3x1 = 12 + X3 = - 15 + %3D X2 + 2x3 = - 4 %3D

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