p) Prove that if ac | bc and c +0 then a | b.

Q: Determine the values of p. q, and r so that the function f(z) = pr + qa2 + rz will have an inflectio...

A: Given function is fx =px3 +qx2 +r x The function has an inflection point at (1, 2). The slope of the...

Q: 2. Let X1 and X2 be sets. Define functions T1 : X1 × X2 → X1, T2 : X1 × X2 → X2 by T| (X1, X2) = x1,...

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Q: Suppose p is true, q is false, s is false. Find the truth value of (p A -q V -S O True O False

A: Writing "T" for true and "F" for false. Given p is true, q is false, s is false.

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Q: suppose that u= xe+y Sin z and that X,y, Z can be measured with maximum passible errors.of 180 respe...

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Q: Prove that in Q(V-5) we have (3,1+ 2/-5)(3, 1 – 2v-5) = (3).

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Q: Emily went on a quiz show. The questions in the first round were worth 1 point. The questions in the...

A: Given Points for each correct answers in first round = 1 Points for each correct answers in second r...

Q: 16.7. Use Green's Theorem to show that Area of D zdz.

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Q: 18.5. Let u = u(x, y) be a harmonic function in a domain S. Show that all partial derivatives ug, Uy...

A: If u is harmonic function then it satisfies laplace equation. 

Q: 9. Show that the matrix 0 0 -1 0 0 1 -1 C2 = x, x- will transform the vector y into -y

A: We have to show that the matrix C2 will transform the vector in ℝ3 into the vector -x-yz. First we w...

Q: 2. 2i + 3 - i 1 + i

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Q: A manufacturer estimates that she can sell a maximum of 155 thousand cell phones in a city. By adver...

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 1...

A: Given: Let us consider the given second-order homogenous equation yιι-2α-14yι+α2-14α+40y=0.

Q: 2. Let X1 and X2 be sets. Define functions T : X1 × X2 → X1, T2 : X1 x X2 → X2 by T| (X1, x2) = x1, ...

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Q: - Use the graphs of = irection in which the curve is traced as t increases. = f(t) and y = g(t) to s...

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Q: ions: a). f(2) = ea %3D 22 +9'

A: As you have asked two unrelated and different, we shall answer first question only as per the guidel...

Q: (i) find gcd(2,3+5i) in Z[i], (ii) show that 3+4i and 4-3i are associates in Z[i] (iii) Determine th...

A: (i).

Q: Use the pointwise convergence theorem to find the pointwise sum function of the series on R. Sketch ...

A: Since you have asked to solve part (b), we are solving the same using part (a). Given: fx=x2, -π&lt...

Q: 1. Find the inverse Laplace transform for the following; In(s) Y(s) = s2 [Hint: L[In(t)] = -}(y+In(s...

A: We need to find Inverse Laplace Transform of , Y(s) = ln(s)s2 We have given that ,  Lln(t) = -1sγ + ...

Q: 2(1 – e-5s), e-6s Y(s) = %3D s(s +1)? * (s + 1)² (8+1)²

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Q: Q.12. WHICH OF THE GIVEN BELOW ARE ALWAYS TRUE? MAY BE MORE THAN ONE RIGHT ANSWER 1. If A is diagona...

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Q: In this problem you will work with a new definition. Given a sequence {an}o: we define its buddy seq...

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Q: A: Find the Fourier of the following function and sketch: f(x) ={ if - A<x<0 0 <x<I x +n if

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Q: Jc 16.8. For each of the following functions , describe the domain of ana- lyticity and apply the Ca...

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Q: 122 Compute 127

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Q: 2. Let X1 and X, be sets. Define functions T1 : X1 × X2 → X1, T2 : X1 × X2 → X2 by T1 (x1, x2) = x1,...

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Q: a. u• v, |v|, [u| b. the cosine of the angle between u and v. the scalar component of u in the direc...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 3. If the GCF(a,b) × LCM(a,b) = 210. What is axb equal to? Explain your answer.

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Q: Let f(x, y, z) = In (x² + y + z?). The level surface f (x, y, z) = In 4 is a: Elliptical cone around...

A: Given  f (x,y,z) = ln( x2+ y+z2),To find : level surface f= ln4

Q: Let /(x) = x (x + 2)" and calculate f(x) dx by using integration by substitution. What was your subs...

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Q: 18.8. (a). Let y be the contour z = ete, - T<0< T traversed in the positive direction. Show that, fo...

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Q: Find h t Trans form of decivative for d²f and d' f dt3

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Q: What is the domain and range of the function fx) = 3y +27 %3D Enter your answers in interval notatio...

A: This question related to real valued function. Solution is given below.

Q: Given the points F(8,4) and G(-7,-6) what are the coordinates of the point that partitions the direc...

A: Given that points are F8,4 and G−7,−6. We have to find the coordinates of the point that partitions ...

Q: 6. Which of the following is NOT true? a. A point on the bisector of an angle is equidistant from th...

A: Let us solve the problems based on basic geometry using various properties of triangles in the next ...

Q: Hw.s Anofen cylinder Can hag an tnside radius 82cm and an inside heightof s cmuse the total derivati...

A: Volume of the cylinder with radius r and height h is given by V=πr2h For the volume of the metal use...

Q: Example 6. Find the Fourier transform off (x) defined by ´ 1, |x| a f(x) = and hence evaluate sin s ...

A: Fourier transform

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: Solution:-

Q: (d) Prove that f is integrable on [a, b] if and only if its "positive part" max(f, 0) and its “negat...

A: To prove :  f is integrable on [a,b] if and only if its "positive part" max(f,0) and its negative pa...

Q: - How to write function in MATLAB?

A: MATLAB has several predefined functions which are ready to use such as sin(), factorial(), cos() etc...

Q: 4. Prove that 17 - 3/3 - 83 + 47/3 in Z+ ZV3.

A: According to the company guidelines we shall solve first question only. For others kindly post again...

Q: Find the absolute extrema of the function f(x) = x³ 23-a on the interval

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Q: Exercise 11. Prove that if f: E R is continuous at p E E, then there exists & >0 so that f(x) is bou...

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Q: A loan payment of $1700 was due 60 days ago and another payment of $1200 is due 45 days from now. Wh...

A: Solution:-

Q: Let u(x, y) be the solution of the partial differential equation (x+1)yu̟ -u̟ = 0, x> 0, y > 0, with...

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Q: State the x-coordinate(s) of the point(s) of inflection. (Enter your answers as a comma-separated li...

A: The point of inflection is the point about which a graph changes its concavity. If f''(x)=0 or f''(x...

Q: Part A: Find the difference between the cost of a two-line ad and the cost of a three-line ad. Diffe...

A: This is a problem of counting.

Q: cosh²x-sinh² x = 1

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Q: 7. Find the slope intercept form of an equation of the line that passes through point (4, 10 and is ...

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Q: Find the absolute maximum and minimum values of the function on the given set R. f(x,y)=(x-2)+y"; R=...

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