Prove that f(x)={-3x if -pi

Q: 1.90 Show that the set I of all irrational numbers must be uncountable. (Hint: Use Exercise 1.87.)

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Q: Find the average value of the function f(x) = 6x° on the interval 1 <a < 4

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Q: Use the standard basis for P2, B = {1, t, t²}, and the coordinate mapping to show that 10 – 12t –…

A: The solution is below.

Q: Let A be a 3 x 3 matrix, and let S = {v1, V2, V3} be a linearly independent set in R such %3D that…

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Q: Let o be the cube with side length 1, faces paralet to the coordinate planes, and centered at the…

A: For the detailed solution of the problem follow the next steps.

Q: Solve this Question by using Laplace y" + 4y' + 5y = 125t2 y(0) = 0,y'(0) = 0

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Q: The regular price of a color TV is $502.11. During a sale, Hill TV is selling the TV for $405.71.…

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Q: Q.1 2 - A- 4 B= 5 Findd the following (chease 5 Only) A+ B 2.

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A: Given that The cost of a soccer ball to soccer line sports Goods=$20 Selling price=$27 To find The…

Q: Determine the answer to the question. Twelve percent of what number is 48? The answer is

A: Let n be the required number.  Then,         n x 12% = 48       =&gt; 12n/100 = 48       =&gt; n =…

Q: Find the average value of the function f(x) 6x5 on the interval 1 <z< 4 %3D

A: We want to find average value of f(x) = 6x5

Q: are given a transition matrix P

A: Given,           P=0.60.4001000.80.2

Q: Test the series below for convergence using the Ratio Test. 0.6" n=1 The limit of the ratio test…

A: Solution

Q: (a) What is wrong with the following use of l'Hopital's rule? x° + x – lim +1 х2 — Зх +2 3x2 +1 =…

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Q: EXERCISES 2:Find the derivative of the function at Poin the direction of A. 2. g(x, y) = y2 +…

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Q: EXERCISES 3:Find the directions in which the functions increase and decrease most rapidly at Po,…

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Q: Let -2 -6 -1] A = -9 4 -7 -9 -5 a Define the linear transformation T : R³ → R³ by T(#) = A. Find the…

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Q: Conditional Statement p --> q      (If p, then q) Converse                   q --> p      (If q,…

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

Q: Estimate the area under the graph of f(x) = 1/1 + 4x^2 from x = −2 to x = 0 using four approximating…

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Q: Find y(0.2) for y'=-2x-y, y(0) = -1, with step length 0.1 using %3D Improved Euler method None…

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Q: r of (x + y3)

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Q: Let T : M2×2 → M2×2 be a mapping defined by T (A) = AT − A for A ∈ M2×2. (a) Show that T is a linear…

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Q: Prove that every subset E of R is the union of some family of closed sets. Can every subset E of R…

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

A: We have to solve the sum of given series using first six term.

Q: a) Let f: R-R be a function defined as f(x) = (x+2)?. Determine whether the function is one to one.…

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Q: Consider the graph below. 8+ 7- 4 312 2л S/2 47 -2 4 -6- -7- -8+ Write an equation that matches the…

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Q: r. = x (n) |1,

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Q: Metals 9% Plastic 3,4% Rubber and leather 1,7% Yard Trimmings Glass 3,3% Textiles Wood 2,9% Other,…

A: 1. Given data is in the form of Pie chart.

Q: Exercise 1. Express the limit as a definite integral on the given interval cosxi a) lim E-1 Xị Ax,…

A: We have to find the derivative.

Q: 2. Let r E R. Let f: [0, 0) → R be a function defined by f (x) = - for all x € (0, 0) and f (0) = r.…

A: For the solution of the problem follow the next step.

Q: 1. Express the following proposition in a symbolic form by defining atomic propositions and…

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Q: Find the average value of the function f(x) = 6x° on the interval 1 < x < 4

A: This is the problem of MVT and the Theory of Integration.

Q: Let G be the subset of Mn(R) consisting of diagonal matrices with all entries on the diagonal either…

A: Given- Let G be the subset of MnR consisting of diagonal matrices with all entries on the diagonal…

Q: Find the derivative of the function. y =    8x2 − 5 2 − x   3    y' =

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Q: а) Мix., у) dx + (хе" + 2ху + ) dy = 0 b) By!/2 + |dx + N(x, y) dy = 0 x + y

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Q: Let A be the matrix -4 4 6. 1 -9 10 A := 4 6 -9 12 15 3 4 -5 8. Determine bases for Col(A) and…

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Q: Simplify in polar form (sin 0 + i cos 0)¬n Explain your reasoning.

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Q: 1 -1 4 -1 = A. فأوجد ما يلي: 0 -3 4( إذا كانت 1 -1 1 a( رتبة المصفوفة. b) معكوس المصفوفة.

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Q: Exercise Suppose that vaccination strategies are implemented for newborns, so that not all newborns…

A: Note: R0 is the basic reproduction number which is defined as the average number of secondary cases…

Q: We have emphasized that the Uniqueness Theorem does not apply to every differential equation. There…

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Q: iii. is continuous at a provided g(a) # 0.

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Q: Find the limit of the sequence if it converges; otherwise indicate divergence. an = (-1)" 1- %3D

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Q: (Cauchy Mean Value Theorem). If f and g are continuous on [a, b] and differentiable on (a, b), there…

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Q: If -6 9. 7 A 2 -8 then A- ||

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Q: How many potatoes are there in 10 kg bag

A: Given: THere are 10kg of patatoes. Concept: Let us take x be the number of patatoes in 1 kg.

Q: 4 3 5 2 1 8 8 7 - 5 0 6 3 8 9 det 4 1 |

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Q: Advanced Math Question

A: Given:

Q: f(x) = x2 + 2* – 100 Solve this question by the Fixed-point method on the topic of solution of…

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Q: 5. What would go in the justification column for line (7) of this proof: (5) 2,3 (6) 1,2,3 (7) (4) 1…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: b.) Find the modified divisor and the distribution of representatives to each state using the…

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