For 7x - 4y-11=0, (a) Write the equation of the hyperbola in standard form. (b) Identify the center, vertices, and foci. Give exact answers. Express numbers in simplest form using integers, fractions, or radicals.

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A: The function given is as follows: fx=7x3-8x+4 Differentiate the above equation. f'x=21x2-8 The…

Q: 2. Evaluate, using the laws of logarithms. 2 43 log4 64 x V64* 46 256 +log,

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Q: R.3. Let X = {1,2,3, 4}, and suppose f:X→X is a one-to-one function. Prove or disprove: f maps X…

A: Since f in one-to-one function so for x1, x2 belongs to X with x1≠x2 we have f(x1)≠f(x2).

Q: Answer  1)  4-1 2) 2 Intersection 4  3) (2 U 3) - 1

A: The following graphs are determined as shown below.

Q: Using the matrices. [1 0 R1 = 0 1 li [1 1 R2= 1 0 li 1 1 Find the matrix that represents R1-R2

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Q: 6) Let p and q be two points in a set, X. Consider the two collections of subsets of X: I. = {Ø, X,…

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Q: En-3 and a4 = 22, a5 = 126, and a, = 596. Find a1 , a2, and az

A: Given, an=5an-1-3an-2+4an-3 To find the value of a1,a2 and a3.

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Q: 1. Use mathematical induction to prove а) 1 - 1! + 2- 2! + ... + n:n! 3D (п +1)! — 1 for all n 2 1.

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Q: 30. Let S be the set of lower case English letters. Define a relation N on all subsets of S as…

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Q: Example :- Salve the hallowing equations:-

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Q: Find the inverse Laplace transform of s+1 F(s) = e-2s, %3D s2-2s + 2

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A: For symmetry with respect to the polar axis ( x-axis). We replace (r,Ѳ) by (r,-Ѳ) to determine…

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A: Given:f(t) = 2.5(1.007)t

Q: what is the min-max theorems And give examples

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Q: What is the 109th term of the arithmetic sequence (963, 936, 909, 882, .)?

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Q: Question 4 Find the degree of the polynomial p(x, y) = (x + xy)2(1+y°) – x²y° and input your answer…

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Q: Question 11 Nancy read one third of a book, then she read one fourth of the remainder. If there are…

A: Let number of pages of the book be n.  Then first Nancy read one-third of the book, i.e, n/3 pages.…

Q: nsist only of of even length. Generalize to find the EGF number of ations that consist only of…

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Q: romises are sincere.

A: Option a - some  campaign promises are sincere

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Q: TOL Company Ltd have undertaken an investigation for a client cor and has discovered that the total…

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Q: Find the extreme values of the function f(x,y) subject to the given constraint.  f(x, y) = 4x + 6y,…

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Q: Find 2025-3 (mod 212). (Enter the least non-negative integer.)

A: To Find: 2025-3(mod 212) and enter the least non-negative integer.

Q: 2. Find the volume of the solid generated by revolving the region under the curve f (x) = x² + 1…

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Q: lef P P, EPP,2P, then Theoremp How.

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Q: Faith is decorating the outside of a box in the shape of a right rectangular prism. The figure below…

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Q: We know R5 {0, 1, 2, 3, 4} and R6 following functions, determine if the function is an injection and…

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Q: Let F(x, y) = (2xy+ y2, x² – line from (0, 1) to (2, 3) followed by the straight line from (2, 3) to…

A: The solution is below.

Q: Discrete Fourier Transform (DFT) of x[n]=(0.9)" for 0<n<3. → X pET[k] = {2,3j,4,–3 j}using the…

A: Sol

Q: 7. Let V = R3 with B = {(1, 0, 1),(0, 2, 1),(2, 1, O)} and W = P2 with D = {1, x, x- %3D %3D (a)…

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Q: bit 1 bits 2 - 10 bits 11-50 o.x. 2°, (. 1)2 <r< 1. Find the machine epsilon, e = The largest…

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Q: 2n if m = 0 O if m > 1 and n = 0 2 if m > 1 and n = 1 A(m – 1, A(m, n – 1)) if m > 1 and n > 2 А(т,…

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Q: 4. Apply to the initial value problem y' = -ry + 1, y(0) = 0 three steps of the Picard-Lindelöf…

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Q: (g) There are exactly six prime numbers p with the property that x81 = x (mod p) for every integer…

A: 1. For p=2, by Fermat's theorem,         x2-1 = 1 mod 2       =&gt; x = 1 mod 2       =&gt; x81 =…

Q: The prices for traveling between five camps in Ruinous Volcano by Mounts are given in the table…

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Q: If the determinant of a 4 x 4 matrix A is det(A) = 7, and the matrix B is obtained from A by…

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Q: Problem 9. ) Construct a linear fractional transformation that maps –1, i, 0 to o, 0, -i,…

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Q: Match the vector field with its graph. F(x, y) = yi 5 5 -5+ サ

A: To match the given vector field to its graph, where given graphs are given below.

Q: Find the inverse Laplace transform of 2s s+1 F(s) = e g2 – 2s + 2 -

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Q: pes the series E (- 1)n+ 1_^_ n+2 converge absolutely, converge conditionally, or diverge? n-1 hoose…

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Q: Five students (one is named Fer) and their best friends (one of whom is named Stan) all live in an…

A: Five students (one is named Fer) and their best friends (one of whom is named Stan) all live in an…