Clarify that f :R → R defined by f (x)= 1 is uniformly continuous. 1+x?

Q: Find the solution set of 2x + 6y – 4z = 12. a. (6, 0, 0) b. (8, 0, 1) c. (12 – 6s + 2t, s, t) d. (6…

A: The given equation is 2x+6y-4z=12 Since, there is only one equation and three variables then we will…

Q: Find the Taylor series for f(x) = sin(2x) centered at 7/2. %3D Find the radius and interval of…

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Q: Problem 6. rotating D about the line x= -4? important for solving this problem?

A: We will use second theorem of Pappus According to it volume  of a solid generated by the revolving…

Q: Find the constant variation for each combined variation. Then find the value of the unknown quantity…

A: We have to find the value of constant variation. Then we can proceed further.

Q: sam deposits 150 in a savings account and earns 6% compounded monthly will she have enough savings…

A: Follow the steps.

Q: 8. In a basketball fundraiser, Jasmine can make 10 free thr $16.25 for each free throw she makes.…

A: Introduction: A line is simply a geometric object with zero width that extends on both sides. A…

Q: I. Show that the function ƒ defined by (1, y) = (1, –1) f(1, v) = { +g (z, y) # (1, –1) + y is not…

A: We will use the sequential characterization of continuity to solve this problem. The detailed…

Q: ZD=32°, v=15, d=18

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: (b) C(R)= {f:R→R | ƒ continuous} with pointuwise addition and multiplication of f, ge C (R) defined…

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Q: [sec 0 tan 0 Ltan 0 sec Find the inverse of sec 0 c. -tan 0 -tan 01 [cos 0 sin 01 Isin 0 cos 0. sec…

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Q: If A and C are nonempty classes, prove that AC B and C C D if and only if AxC C BxD.

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Q: If 1 4 and v2 are eigenvectors of a matrix A corresponding to the eigenvalues A1 -4 and X2 = 1,…

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Q: Give the focus, directrix, and axis for the parabola. y2 = -32x A) (8, 0), x = -8, x-axis B (-8, 0),…

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: Question: If R is the region bounded by the graph of the functions fx=x2-6 and the graph of function…

Q: How does a Turan Graph T7,4 look like? Graph theory question

A: This is a problem of Graph Theory.

Q: A comet follows the hyperbolic path described by 11 = 1, where x and y are in millions of miles. If…

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Q: 15. Let T : P, -→ P, be defined by T(a, + a,x+ a,x²) = (5a, + 6a1 + 2a,) %3D - (a, + 8a,)x + (a, –…

A: Follow the steps.

Q: Verify the Divergence Theorem by evaluating F.N ds as a surface integral and as a triple integral.…

A: Solution:-

Q: A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of…

A: The correct option is B . See the explanation in the attachment below...

Q: Draw the components part diagram for the following table using a scale of 1:12. Label you…

A: Given: Draw the components part diagram for the following table use a scale of 1:12.

Q: Using Gauss Mean Value Theorem, find 1 sin (7/6 + 2e") d0. (Ans. 1/4)

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Q: Solve the differential equation Ut Uz(0, t) Uz(2, t) Jo 0<r<1 x 1<x < 2 u(x, 0) You do not have to…

A: Given one dimensional heat equation ∂u∂t=5∂2u∂x2 Given conditions ux0,t=0, ux2,t=0 and ux,0=0…

Q: (b) Given that x =1-4i is one root of the quartic equation z*- 82' + 542? – 152z + 425 = 0, find the…

A: Q6. b. The given quadratic equation is z4-8z3+54z2-152z+425=0 and one root is z=1-4i. To find: other…

Q: Differentiate Зх — 6 - y = csc 5x2 + 9

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Q: The half-life of strontium-90 is 28 years. How long will it take a 50-mg sample to decay to a mass…

A: Introduction: The half-life is the amount of time it takes for a quantity to decline to half its…

Q: 4. Use a suitable numerical method to estimate , xln(x)dx, using h = 0.4. Use 4 decimal places in…

A: Here we will use right Riemann sum to estimate the integral  Given a function f(x) that is…

Q: 3. An integer n : 1<n < 1000 is chosen. Compute the probability that the integer is... a) divisible…

A: Probability of divisibility

Q: Renren is 4 times as old as Mark. six years from now, he will be twice as old as Mark. How old are…

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Q: Evaluate f(1) 1 Given: F(s) (s2+1)(s²+4)

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Q: What would be the degree of the differential equation? d3y [a²y] d²y = x²log ax +7 dx3 Ldx2. С. 3 D.…

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Q: If L{f (t)} = F(s) evaluate F(1) in f(t) = te-2t sint cos t.

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Q: If n is an integer, n 180° represents an integer multiple of 180°, and (2n + 1)-90° represents an…

A: Given that if n is an integer, n·180o represents an integer multiple of 180o, and (2n+1)·90o…

Q: Use the table below to find the percentage of data items in a normal distribution that lie between z…

A: To find the percentage of data items between two z - score of normally distributed data we just take…

Q: 2. Evaluate the following integrals (a) / 20° 2x + 3х — 2 dx (b) /: 3x2 + Vx dx (c) / t (Vi – 3t) dt

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Q: 3 -3 Find AA if A = 5 4 -2

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Q: (i) X= “ABCDBCDC” and Y=” BCDCD” (ii) X= “POLYNOMIAL” and Y= “ EXPONENTIAL”

A: This is a problem of counting and finite math.

Q: (x* - y*)dx + xy dy = 0

A: Given: Differential equation x4-y4dx+xy3dy=0 To find: An integrating factor. As per the policy…

Q: Solve for z. = | |+2% 2 lz а. - 1 С. 1 b. – ½ d. - %

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Q: 2 - Given matrix A = applying -5 3. row operation it become : , 2 -61 -3 -3] what row operation…

A: Solution :-

Q: Please answer all parts for step 2, make sure it’s clear for me and each box is filled. Thanks I…

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Q: Let S= {1, 2, 3, Question 5. 4} and G = S,. Write all of the elements of GT and G(T) in each case.…

A: Given, S={1, 2, 3, 4} and G=S4 We have to write all the elements of GT and G(T) in each case. (a) T…

Q: Let A = {a, b, c, d, e, f,9, h}, and let G and H be the following equivalence relations in A: G =…

A: let A=a,b,c,d,e,f,g,h and let G and H be the following equivalence relation in A G=IA∪a,b , b,a ,…

Q: Determine the real roots of f(x) = -0.5x² + 2.5x + 4.5 Using three iterations of the bisection…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: [C] Use Newton-Raphson Method to perform thirteen iterations to the equation sin(x) + a? – e + 8 = 0…

A: Find the root of the given equation :-

Q: 3. MAKE A NEWTON'S DIVIDED DIFFERENCE TABLE TO (a) FIND FOR THE FUNCTION f,(x) THAT WILL SATISFY THE…

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Q: a) The shaded area enclosed by the curve y = x? - 4 and the x-axis is rotated around the x-axis to…

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Q: 2. x"(t) – 4x'(t) + 4x(t) = 4e²t; x(0) = –1, x'(0) = -4 %3D

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Q: a = 3.5 cm, b = 1.3 cm, C = 90° A = 69.6°, B = 20.4°, c = 3.7 cm A = 65.1°, B = 24.9°, c = 3.7 cm A…

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Q: 2. Solve the IVP: *+ 2y = te-2", y(1) = 0 dt

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Q: II. Consider the function g defined by 9(z, y) = cos (7z/T) logg(z Do as indicated. In what…

A: We know that the gradient of the function g contains the two vectors, one in the direction of x-axis…