12. Determine whether the following is true: (a) ≥3, EZ, 31(2²" - 1); n (n + 1)(2n +1) (b) 12+22+ 32 + +n 2. 6 Vn EZ,n 21.

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Q: 1. The function f is continuous on the interval [3, 13] with selected values of x and f(x) given in…

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Q: -6-5-4-3-2-1 у 7г 6 4 3 2 1- -1 -2 -3 -4 -5 -6F 1 2 3 4 5 6

A: Range :- all the y value where function is defined

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Q: 1,-1, 3), 6 = 2-(0, 5, -2) Find 52 +22-46 C a Let a = O (5, 1, 1) *(5, 7, -1) O(18, 35, 12) O(-14,…

A: Topic:- application of algebra

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Q: f(x) 3. What does lim = 0 show? X→∞ g(x) O g(x) grows faster than f(x) as x goes to infinity. Of(x)…

A: The given limit is limx→∞fxgx=0

Q: Given f''(x) = 5x - 2 and f'(-2) = Find f'(x) = and find f(1) - 4 and f(− 2) = 4.

A: Topic = Integration

Q: Σa_₁ (-_^_-) n² 'n n+1 Select one: O True O False is convergent.

A: To determine whether the following statement is True or False.∑n=1∞ nn+1n2 is convergent.

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Q: -2-1 5 HA 4 у 3- 2 1 1 2 3 4 5 6 7 2 8 9 10 K

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Q: Let the position function of a particle be r = <t, t2,0〉. Find the tangential component of the…

A: Let the position function of a particle be r=t, t2, 0.To find the tangential component of the…

Q: 6. x³-x²-x+10 lim x-2 x² + 3x + 2

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Q: Determine whether the following relation represents y as a function of x. -6-5-4-3-2-1 y 7r 6 L 5 4…

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Q: 1. a) Copy the graph. YA 4 2 4-20 2 f(x) AR 2 4 x (g(x) b) Use the superposition principle to…

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Q: Find the the macl following:

A: Here, we need to find the Maclaurin series of tan-1x1+x2. Now,        Maclaurin series of function…

Q: 5 (x²-4)

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Q: Use following series > k=1 the (+48 integral test Converge. to decide if th

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Q: Can this also be solved using the mean value theorem? Thanks!

A: Given.

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Q: Consider the function f(x) = x² + 2x - 8 x - 3 a. Find the first derivative. f'(x) b. List any…

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Q: Given |F₁ = 85 N and |F₂| = 125 N and they are acting at an angle of 14 a) Find the magnitude of the…

A: Topic:- application of vector algebra and trigonometry

Q: 0 A = 2 -3 -1 B = -1 2 -2 −1 3 0 ³.0 - [ C 1 3 4 Use the above matrices to compute the following…

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Q: 2.4 Write functions of the following graphs. 2.4.1 2.4.2 + -3 -2 -3 N 0 -1+ 34 2+ 0 - 2

A: Above question is solved

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A: Given data:- y=ae-2x+bxe-2x

Q: JENCES AND SERIES: onvergent or divergent and, if convergen 23 an 20 ,n=1,2,3,...

A: The answer is given below:

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Q: Find -(4²). Type In(x) for the natural logarithm function. da (4²)

A: Topic = Derivative

Q: Consider y = √x+1. (a) Find its inverse relation. Is this relation a function? Why? If the inverse…

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Q: Z = (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0,…

A: We have to find the equation of plane passes through the points and volume

Q: -6-5-4-3-2-1 у 6 5 4 3 2 1 -1 -2- -3 -4 -5 -6 7 123 456 X

A: To find the range of the given graph.

Q: A3. SOLVE STEP BY STEP IN DIGITAL FORMAT Define g(8) for the given function so that it is continuous…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: .1 Simphiwe bought meal tickets to use at the school's cafeteria. E requires 2 tickets, and she…

A: Topic:- application of algebra

Q: 3. a) Examine if the following limit exists, x + y + 1 lim (x,y) (0,0) In(x2 + y²)* If the limit…

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Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

A: The given series: ∑n=2∞-1nxnn2nWe need to find the interval of convergence.

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A: We have to find open intervals on which the graph is concave upward or concave downward

Q: Evaluate are f(4) And solve f(x)=1

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Q: 3. A ladder 10 feet long is leaning against the wall of a house. The base of the ladder is pulled…

A: Concept: Let x represent the distance from the wall to the ladder's base. and let y be the height of…

Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy

A: integration using partial fraction