Prove (p a q) and (T→ (¬ (p →q))) are both wff:

Q: Write equation for each graph With explanation

A: Given: Graphs e)  f) To find: Equation for each graph.

Q: x +1 x3 +1

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Q: Let A, B, C, D be points in 3-space with position vectors a, b, c, d respectively such that b – a =…

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Q: Pidblem 74. Guppose U;Ua-Um are Finíte deningional subspaces prove that U. +hat . OF +Um is definite…

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Q: Show that In(x") = y In(x) for all x, y > 0, only using the rules of derivative for the natural…

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Q: nd the differential equation of a family of circles, each having its center on the line y = x and…

A: We have to find the differential equation of the family of circles from given data.

Q: Let n be a positive integer and f (n) = -53n109 – n51 + 53. Then f (n) is O(logn) the above. None of…

A: Correct answer is O(n^110).

Q: Let a be a root of the polynomial x3+x+3, which is irreducible over Q. The polynomial x2-2 is also…

A: Given: a is a root of the polynomial x3+x+3, which is irreducible over ℚ. The polynomial x2-2 is…

Q: Two statements are given below. Select the statement for which a ratio of the measurements is…

A: In statement given, 1)The fertilized grass grew 2.9 inches in a week, were the unfertilized grass…

Q: x²+2x²y-2xy+2xy –3y The expression is equal to x+y

A: We have to find simplified form of the given expression

Q: Determine the local linear approx imation of flx,4,z) =(1+x) (l-y³) (l-2)²' at the point CT, 2,3)

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Q: Consider the function f(x) = x2+1 (c) Find the intervals of concavity and the points of inflection…

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Q: A phone number consists of ten numbers.  If the first digit cannot be 0, how many possible numbers…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: (5) Solve the the definite integral (In(2))* dz indicating which integration techniques you are…

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Q: 3) A local grocery store is selling lots of toilet paper. Every time they looked they had sold half…

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: I can't understand the answer because the text wan't correctly formatted.

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Q: (-1) "-'b,. 12" +2 where b (n+ 2) 14"+3

A: In this question, the concept of convergence is applied. Convergence The feature of approaching a…

Q: Find the values of A for which the following equations are consistent: 2x + y = 0 — х+ Лу +5-0 - х —…

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Q: Use mathematical induction to prove that the n-th derivative of (x +n + 1)e" is given by d" (x+1)e =…

A: We use mathematical induction. The detailed solution is typesetted and given in detailed as the next…

Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: summarraize the concentration of the drug in the bloodstream for the first 20 hours afetr it is…

A: The summary of the concentration of the drug in the bloodstream for the first 20 hours after it is…

Q: If f is just that L = e*[- sin(x+ y) + cos(x + y)] and -e* sin(x + y) which if the following is true…

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Q: Find the definite integral 5 tan(x)dx using strips of width for the trapezium rule correct to three…

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Q: 18

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Q: (-2 1 Consider the matrix A 2 1 and vectors x = |1 and y: (-1 Let vector v be defined as v = (A – A'…

A: Here given matrix  A=-210021-100 Then  AT=-20-1120010 Thus A-AT=-210021-100--20-1120010=011-101-1-10

Q: Give an example where the statement: If U and V are vector subspaces of Rn, then U ∪ V is also a…

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Q: iv. lim h(a) =L v. lim h(r) = vi. lim h(x) = T -00

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

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Q: VAVyPry FVyxPyx

A: The main objective is to prove that the predicate is true.

Q: Q/B) Find the length of the cardioid curve: r 1+ cose

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Q: =X +1 in write the PDf yure + 2Ggy Canomcal fam.

A: Elliptical pde

Q: (2) Let ƒ : [-x, 7] → R be defined by 0 if – a<x< -, 1 if-플<z<0, 0 if0<x< T. f(x) = (a) Calculate…

A: We will use the basic knowledge of the Fourier series to answer this question correctly and…

Q: Identify if the sentence,"Give me the keys" is a propostion.

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Q: A box-and-whisker plot does not show the

A: This is a question of theoretical distribution and Box Plot.

Q: ) Find the extreme values of the function f (x, y) 2.x2 + 3y? - 4.x - 5 subject to the %3D…

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Q: A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid…

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Q: Use integration by substitution or integration by parts as appropriate to evaluate Axsin (Bx) dx…

A: Here we use integration by substitution and then integration by parts

Q: Solve 4 2 x(0) — 2, у(0) - 2 - 17

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Q: ) Let z be a particular solution to a linear equation system Az = b. Let {u, u2, uz} %3D be a…

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Q: A lumber company owns 2,100,000 trees in the Adirondacks. They intend to harvest 6% of their stock…

A: Solution

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { 1 + y (x, y) # (1, –1) r+y is not…

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Q: Prove that the subgroup {o E S5 | o (5) = 5} of Sg is isomorphic to S4.

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Q: {{u v w]':u + v = 0 and u – 2w = 0} 4. Find an orthonormal basis for the subspace S of R".

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Q: Two transmission towers 40ft high is 200ft apart. If the lowest point        of the cable 10ft…

A: We will draw the diagram and then find equation of cable ,  Note : All freely suspended cable/wire…

Q: 3. A pilot flies with a ground velocity of 280 km/h on a bearing of 292°. There is a 55 km/h wind…

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Q: If a line is parallel to the vector 3i + 2j + 1k and passes through the point P = (1,3, 8), then the…

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Q: On their anniversary, Mady brought a box containing n dark chocolates bars with n less than 250. The…

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Q: QUESTION 1 Of the following operations, which one is the fastest? a. < O b. / c. + d. X

A: To identify fastest operation.

Q: 1. 25 4

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Q: Express the circle specified by x 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

A: Note: Equation of a circle with radius r and center at (h, k) is given by (x-h)^2 + (y-k)^2 = r^2