1. Find the equation of the tangent line and the normal line to the graph of y = √6x-2 at x = 3. Graph the function and its derivative.

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Q: 32) Show that f is continous at xo is continous at xo if and only if limit 11 f(x)-f(x₂|1=0. хэхо

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Q: using euclidean algorithm, what is the monic gcd of f=x^4 + 3x^2+2x+4 and g=x^2-1 in Z _5[x]

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Q: Find the MacLaurin polynomial of degree 3 for the function f(x) = e³z. T3(x) = + +² +0³ Now use this…

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Q: A volume is described as follows: 1. the base is the region bounded by y=9-9x² and y = 0 2. every…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: For each of the following sequences, (i) Find all accumulation points and compute lim sup and lim…

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Q: Find an expression for an if t for 0 <t<n. Give you answer in terms on n.

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Q: o which ring is ℤ_24/(3) isomorphic to? ℤ_2 ℤ_3 ℤ_4 ℤ_8 None of the above

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Q: Find the value of c for which the area enclosed by the curves y = c - x² and y = x² (Use symbolic…

A: The area is enclosed by the curves y=c-x2 and y=x2-c is 56. To Do:We have to find the value of c.

Q: What is a solution to the equation x^2+x+4=0 over ℤ_6?

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Q: 25. f(x, y) = 10 - 4x - 5y

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Q: 2. Prove by induction that Er² = n(n+1)(2n+1). Deduce formulae for 1.1+2·3+3.5+4.7+...+n(2n-1) and…

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Q: Suppose that we use the Improved Euler's method to approximate the solution to the differential…

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Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the…

A: Given: A region bounded by y=2x2+12 , y=16x-2 and y-axis. To Find: Volume of the solid obtained by…

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Q: figure 1 figure 2 in a print-out of these slope fields, sketch for each three solution curves to the…

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Q: se the following theorem: T:Rn → Rm is a linear transformation, and e₁,e₂, ..., en are the standard…

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Q: Which of the following is a tautology?

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Q: In 2005, Dr. Larry Kamin and his botany students at Benedictine University collected the following…

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Q: Find the area of the region enclosed by the graphs of the functions. x = 4y² 36, x = 60-8y (Give an…

A: The given functions are: x=4y2-36,  x=60-8y. We have to find the area of the region enclosed by the…

Q: Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.

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Q: Question 29 Maximize 2x1 + 4x2 subject to 1 + 3x2 12 2x1 + x₂ 14 120 and ₂ ≥ 0 Using simplex method…

A: Given Linear programming problem is , Maximize  2x1+4x2   subject to  x1+3x2≤12…