what notation is used in sequences and functions?

Q: 3. Let f : [a, b) -R be integrable. Show that f(t)dt = lim,b Sa f(t)dt. %3!

A: Recall the results mentioned below

Q: 1 -3 3 4@ O } watrir, A= Find A75 3 -5 3 6 b 9- P the diffenen Linean

A: Given data A=1-333-536-64find  A75=?

Q: O Fvaluate ( 3ds, ahere e is the uppen half of the cincle 13+21 =2 in antibek wise directi on . Ức…

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Q: Suppose there are 10 points in a plane such that no three points are collinear. How many distinct…

A: The number of ways r items can be selected from n different items is equal to C(n,r). The formula…

Q: I Example 11.17. Find the solution of the initial boundary value problem : 'u u 0 sx S1: subject to…

A: Here we need to solve initial boundary value problem.

Q: 4. Find the expansion of (x + y)6 using Binomial Theorem.

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Q: a) Three Sets Å, B and c. EXER:2ト_xS Ex ER: X S 23 EXER: -2 Ź x <3} Fallaws. 4. are A = R £QUIRED…

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Q: Show algebraically that f(x)-2 x| -9 is an even function. Solve the equation algebraically for x.…

A: A function is an even function if f(-x)=fx. It is known that if logab=c, then b=ac.

Q: FIGURE P1-8 80 a b FIGURE P1-9 Determine angles a, b, and c (Figure P1-9).

A: Vertically opposite angles are equal. Now, in the given figure 80° and angle a are vertically…

Q: Find the square root of 2 (up to 9 decimal places). Using Bisection Method

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in.…

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Q: a) Show that every closed subset of a compact space is compact but the converse need not to be true…

A: As per the guidelines I had given the proof of the first theorem. Kindly repost the another theorem…

Q: 9. From a class of 32 girls and 18 boys, how many study groups of 3 girls and 2 boys can be formed?

A: Given: A class consists of 32 girls and 18 boys.

Q: 17 The compound interest formula A = P(1+ 5)nt. • A future value • P is principal • t is the number…

A: Let us consider the present value P Then the future value A on P at the rate of r for the time…

Q: Consider finite difference method to approximation the solution to BVP on 1. 2 y" = -e y(1) = 0 y(2)…

A: Given: The boundary value problem, y''=-e2y on 1,2 with the boundary conditions y1=0 and y2=ln2.…

Q: Let C1 be the line segment from (1,0,1) to (0,3,6). Evaluate dx + dy + dz. C1

A: Solution :-

Q: Consider the relation R {(n, m) e N x N | |n – m| < 1}. Then for example (1,2) e R since |1 – 2| = 1…

A: As per our company guidelines we are supposed to answer only the first three subparts. Kindly re…

Q: 3. The GCF of any two distinct prime numbers is 1. (Distinct they are not the same number) means

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Q: -4 (b) If u find and expressing all derivatives in their simplest 3xy form. Hence, Show that

A: The solution is given as

Q: е 0.32+ j0.56

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Q: Let f : R² → R² be a continuous function. Prove that f([0, 1] × [0, 1]) is compact.

A: It is given that f:ℝ2→ℝ2 be a continuous function. Prove that f0, 1×0, 1 is a compact set. Let Gi:…

Q: For numbers 11-12, consider the conditions below to determine the truth values of the conditional…

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Q: 6. -2-

A: Given graph is the graph of sine curve.

Q: 8. Determine the truth value of the each of these statements if the domain consists of all integers:…

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

Q: 4 Write the equation of the parabola given vertex and a point. a) vertex (-2,5); point (3, 6) b)…

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Q: Find the general solution: yy" = 2(y')². Select one: O a. Y cos (x)x + e2" sin (x)x ln sin x O b. y…

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Q: 3 students are choosing between loose leaf, hardback and electronic texts. Studies have show that…

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Q: What

A: Given: Wave equation on the interval 0,2. To find: Two procedures for solving the wave equation.

Q: 15. Find the derivatives of the following functions: (a) = 20 sin 15x; (b) - tan' x: (c)-" c cos x…

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Q: P1. 26. Given vectors A, B, and C, evaluate 3|A|C - 2B if Ax - 7 Ay - 3 Az --3 Bx - 1 By - 2 Bz - 3…

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Q: owing permutations. 13. Р, 11. Р. 14. Ps 12. P,

A: 11. The formula for permutation is Prn=n!(n-r)!, where n=total number of items; r=number of items…

Q: 3 -2 Find the minimum value of q(x) xT x subject to the condition ||x|| 1 %3D 1 Select one: O A. 2 -…

A: Introduction: The method of Lagrange multipliers is an approach for finding the local maxima and…

Q: Please provide justified answer asap:::: Show that n is odd if and only if n^2+4n+1 is even.

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Q: (0.2t25x+3x²) dx

A: We have to find the value of ∫050.2+25x+3x2dx using the Trapezoidal rule We take that the number of…

Q: Find the that passes tirovgh fhe posints (-2(01-1) and trrough the line of intersection q 2i43y-2 zo…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: 14. Solve the differential equations: (a) y - 4x' + 2x +5 , where 0)-10 ; (b) y - 3x + xy , where 0)…

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Q: 16. If the series is represented by the summation , 3x + 2, what is the first term (a1)? C. 7 А. 3…

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Q: 9. A bottle of Calpis yogurt is removed from a refrigerator having temperature of 40°F. It is found…

A: Solution :-

Q: 3. Let the curve C be traced by the vector-valued function R(t) = cos(zt) î + at j+ sin(rt) k. %3D…

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Q: Q5b A European call option with strike £60 costs £6. A European put with the same strike price and…

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Q: HOw many ways can the letters of each word can be arranged? 34. CIRCUIT 8. PARALLEL BLUEBERRY

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Q: A seasoned parachutist went for a skydiving trip where he performed freefall before deploying the…

A: The False Position (also known as the Regula-Falsi) method uses the formula:…

Q: how to find a covariance matrices. i'm skipping my class 3 time

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Q: Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how many…

A: Here we can use combinations to find the required number of ways. We can choose r things out of n in…

Q: Determine the Fourier series for the periodic function: which is periodic outside

A: Given,           f(x)=-2when -π&lt;x&lt;02when      0&lt;x&lt;π

Q: Vicky and Louie go to Xtreme Xpresso for lunch. Vicky order 2 fries and 3 pasta and the total bill…

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Q: Find the particular solution of the following second order differential equation d'y dy…

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Q: 21. (a) Use Newton's method to find the root of the equation 2 – xª + 3x² – 3x – 2 = 0 in the…

A: According to rule of bartleby  we can solve only first solution and if you want rest one then kindly…

Q: a. Show algebraically that f(x) = 2 x| - 9 is an even function. Solve the equation algebraically for…

A: Odd and even function by algebraic definition

Q: Use the appropriate technique of integration to compute the following antiderivatives.

A: Solution