Question Given that F(x) = S ln t 2+1² e314 dt, what is F'(x)? (Do not include "F'(x) = =" in your answer.)

Q: Prove that Σ₁ iª = n(n+1)(2n +1) (3n² + 3n − 1) i=1 30

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Q: Let g: Z → Z be the function g(x)=3- 2x and let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Determine g(A).…

A: Given: The function is gx=3-2x. The set  A=1,2,3,4,5,6,7,8,9,10 is also given. To find: gA.

Q: At 8:00 am airplane #1 has an elevation of 12250 ft. and is descending at the rate of 150 ft/min. At…

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Q: Show The union of a finite number of open sets in R is an open set.

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Q: Find the slope of the line shown below -3 -2 4 3- 2 -} -2 -3 2 3

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Q: Let r(t) = t(2, 1, 0) + ³(1,-1, 2) + (1, 0, 1). (A) This curve lies in a plane. Why? Find the point…

A: Given That :  rt=t2,1,0+t31,-1,2+1,0,1 To Find: a) Point of the intersection of the plane with the…

Q: (5) Let A be the matrix - (8 A = 0 01 0 10 -1 0 0 Verify that A E GL(3, R) and compute its order in…

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Q: Find out the Smith canonical form for the following matrix polynomial 0 ao a₁ -1 0 ⠀ A an-2 0-1…

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Q: x² +24x = 16 (Burton)

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Q: 5.2.2. a) Suppose that a < b and n € N is even. If f is continuous on [a, b] and f f(x)x"dx = 0,…

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Q: 1₁ Hi-V produces three types of canned juice drinks, A, B, and C, using fresh strawberries, grapes,…

A: Given Data: We measure the juice in pounds and strawberries (S), grapes (G), and apples (P) in tons.…

Q: 3. Let h: Z→ Z be the function h(r) = = x mod 4. Find h-¹(0), h-¹({0, 1, 2, 3}), and h-¹(4). Explain…

A: In this question we can easily observe that that output of the function is the remainder when any…

Q: B: Iraq Glass Industries Company produces two types of products, A and B, each one goes through two…

A: here we need to model this question as a mathematical maxizing problem.

Q: 5. Find || A||1, || A||∞. Find an x 0 so that ||Ax|| = || A|||||| for each norm. A = 2 4 3 −7 −1 -8…

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Q: Which of the following sequences of symbols are well-formed formulas (wffs)? Put an ‘x’ or a ‘√’…

A: To Find: Whether the given sequence of symbols are well formed formulas or not.

Q: 2. Let f(x,y) = {'1, = {0, y≤0ory 2x² 0<y<x¹ (a) Show that f(x,y) → 0 as (x,y) → (0,0) along any…

A: f( x, y) = 0y≤0 or y⩾x410&lt;y&lt;x4 Note that  f (0,0) = 0 . To show that f is continuous at (0,0)…

Q: b- 2 (1+hi + 2 (1+x) = (h²x15

A: For a function: z=f(x, y), the set of real values of x, y for which f(x, y) is defined is called the…

Q: 3. Let m =(√2/2) (e₁ + e₂) where e₁ and e2 are orthonormal vectors. Is there a tensor A such that…

A: We are given that m=22e1+e2 where e1 and e2 are orthonormal vectors. Now, we need to find if there…

Q: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

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Q: Suppose that the total worldwide sales for a song album are approximated by the function: 150x³ x³…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: 1. Use Gauss-Jordan Elimination to find the solution to the system of equations. Show all of your…

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Q: Consider the quadrature rule Q[f; -1, 1] = woƒ(−1) + w₁ f(x₁) + w₂ƒ(1) with weights wo,W₁,W₂ER and…

A: suppose that the degree of exactness is 5 .  So we must have Q[f;-1,1]= ∫-11 f(x)dx =w0f(-1)+ w1…

Q: find the unit vectors T (t) & N (E) from fe() ex 3t r(t) = given T (t) = (141) ₁1 | r¹(t)\ 8 N (t)…

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Q: 12. How many 4-letter words with or without meaning, can be formed out of the letters of the word,…

A: See next step for answer

Q: f(x) = cos(x) + 2 sin(x) + x² Use the Newton's method of finding roots of equations to find the…

A: The Newton's method is to draw a tangent line to the graph y=f(x) at the point (x1,y1). See below.…

Q: A rectangular plate is supported by three cables, as shown. Knowing that the tension in cable AC is…

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Q: You are given that a 2 x 2 real matrix A has the following unit eigenvectors corresponding to a…

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

Q: Solved the following set of equations 16x + 2y2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

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Q: Prove that d(a, BUC) is the smaller of d(a, B) and d(a, C) for a point a and subsets B, C of a…

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Q: Use inductive reasoning to predict the next three letters in the following list: H, P, X, F, N, V,…

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Q: 61-66. Right-triangle relationships Draw a right triangle to simplify the given expressions. Assume…

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Q: Example 18 Which of the following is the converse of the statement? "If Billu secure good marks,…

A: See next step for answer

Q: 7. Given the linear system -400 2 1 0 0 98-0 3 12 4 3 (a) Show that there is no value w that will…

A: Given,        A=-400021012  ;X=x1x2x3  ;b=433Thus, the given linear system is AX = b.

Q: this is wrong. please re-do or check work again

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Q: ow that (ABC) = CTBTAT by using the fol

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Q: A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn…

A: We have a box which contains 2 white balls, 3 black balls and 4 red balls. We need to find the…

Q: A country with four states, A, B, C and D apportions the 70 seats in its congress using Hamilton's…

A: Hamilton's Method: Step 1: Find the standard divisor.                           Standard…

Q: There exists a number which is equal to its square. For all even integers x, x² is also even. There…

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Q: Let V be the set of all pairs (x, y) of real numbers together with the following operations: (x₁,…

A: V be the set of all pairs (x,y) of real numbers  together with the following operations ;…

Q: . State whether each statement is true or false. If the statement is false, explain why. a) {2, y,…

A: Here we need following definitions: (a) Two sets are equivalent if they have same number of…

Q: Prove that A \ Ø = A

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Q: 2- Write the central difference numerical scheme for solving the the non-linear ODE

A: We have to give the central difference  numerical scheme for solving non linear ODE.

Q: Regula Falsi Method Example 4 - Find the real roo Max # of iterations = 10, Minir

A: Here, in the question we have to find the real root of f(x) = x3-x2-x-1 We have to take iterations…

Q: 34. The Heaviside function The Heaviside function is used in engineering applications to model…

A: Given the function is             H(x)=0   if x&lt;01   if x≥0.

Q: We are trying to find the area under the function f(x)=x² over the interval [2, 5). Using n (no. of…

A: We are given the function f(x)=x2. Here, we need to find the area under the given function f(x)=x2…

Q: 2.1: Linear combinations. qy7 Jump to level 1 V1 = 9 a1 A2 = Which weights should be used for b = a₁…

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Q: 19-70. Evaluating limits Find the following limits or state that they do not exist. Assume a, b, c,…

A: 34.  x2 - 2x - 3 = ( x - 3) ( x + 1)  limx→3x2-2x-3x-3=limx→3(x-3)(x+1)x-3=limx→3 x + 1 = 3 + 1 = 4…

Q: SOLVE THE FOLLOWING HOMOGENEOUS FUNCTIONS 4. (x-3y) dx + (3x + y) dy = 0

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Q: Equilibrium Price: Cell Phones   Worldwide quarterly sales of a brand of cell phones were…

A: Given Data: Demand function q=-p+156 supply function  q=9p-394

Q: y"+ y + (π ² + ₁) y -x/₂ e Sin Tx

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