A graph of a function f is given. 1 y 1 0 1 X

Q: ∞ Use the equation = Σ x” for |x| < 1 to expand the function in a power series with center c = 0.…

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Q: The series O True O False Σ (-1)^+1 n=2 n3+1 is absolutely convergent.

A: The given series is summation of (-1)n+1/(n3+1), n from 2 to infinity.

Q: For 0<t<, a particle moves along the y-axis. The velocity of the particle at time t is g v (t)-cot…

A: U

Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: Compute the following partial sums for the series Σ(-1)kk-³. (Give exact answers. Use symbolic…

A: Concept: Series: The total of the terms in a sequence constitutes a series, which is not a list of…

Q: Integrate зав тв2 xp (2x +B) da t 2 y 9 x ₂²¹ + xop dp x. P (2x +B) Jyo xo, Yo, y tIR. Choose to, yo…

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Q: The graph of y = f(x) is given below (in blue), along with several related graphs (which are in…

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Q: derivative of the function using the definition of derivative: g(t)=5/√ t

A: Given query is to find the derivative using definition of derivative.

Q: For the function, consider the following. (Hint: Use a graphing calculator.) f(x) = x4/3; find f(-8)…

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Q: The vectors i and j are standard basis vectors. Find the length of the vectors. (Use symbolic…

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Q: ASAP

A: Please refer to the image below

Q: .x = y + dy dr X2 - y²

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Q: {(1, 2), (2, 5), (3, 7), (1,3)} 9.

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Q: domain of g(t)= sin(et-1)

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Q: ี 2 T 2

A: Graph is given . We have to find the domain and Range .

Q: 4. < y:5

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Q: The fox population in a certain region has an annual growth rate of 6 percent per year. It is…

A: Concept: The fox population in the year 2000 is 18000 Here the year 2000 is taken as starting year…

Q: 36. f(t) = 10 + 45 t+1

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Q: Write the equation of the circle centered at ( – 9,5) that passes through ( – 17, 16).

A: We have to find the equation of circle.

Q: Solve the differential equation. x + 2y = 5-1, x>0 X- dy dx A There is no correct answer from among…

A: To solve the following differential equation.xdydx+2y=5-1x,  x&gt;0

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and…

A: The sum of Infinite Geometric Progression of the form ∑n=0∞an where -1&lt;a&lt;1 is given by 11-a

Q: O o 01 2 If h(x) = Does not exist sin x sin 2x then lim h(x) is equivalent to which of the…

A: Need to find out the  limit.

Q: 41. Find S, -S₂ given that S₁ S₂ = A. 1 B. C. D. E. Diverges

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Q: Q1: A-Show if the series is convergent or divergent (2n)! n!n" n=1

A: This question is related to infinite series, we will solve it using given information.

Q: 'm sorry the point is -3/2 (negative three halves) not -32

A: The Solution is given below-

Q: A] Are these functions? 1. {(2,3), (-3,4), (-3,5)} 2. ((-2,4), (-3,4), (-4,4)} 3. f(x) = 4x + 5 4. À…

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Q: luate ΣΙ 72=0 72 1 1+x2 dx

A: Given series ∑n=0∞∫nn+111+x2dx which can be written as ∫00+111+x2dx+∫11+111+x2dx+.......+∫..∞11+x2dx

Q: The unit cost, in dollars, to produce bins of cat food is $2 and the fixed cost is $11524. The…

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Q: F(W) = + [TS(W-5) + 3 (W-5) +TS(W+5) + = 1/2 [717 S(W_S) + TS(W+S) + = [TT-S (W-S) + -S(W-5) + πTS…

A: The term in the circle is wrong. I have showed the correct term which should come after simplifying.

Q: Find y' in x² + y2 = 9. O O 9 -3 y X

A: To find the second order derivative.

Q: r best submission for each question part is used for your score. [-/6 Points] SCALCCC4 2.3.027.…

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Q: (9) Evaluate the indefinite integral f X+2 dx x² + 4x 2

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Q: The table shows the position of a cyclist. t (seconds) s (meters) (1) [2, 3] (a) Find the average…

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Q: PERPARA EPIFFERITEURE HIFCERERE dx SURASEULEET EXPLOREZPIER MERASAKASH FLERENCE r 7)Evaluate ↑n(x²)…

A: I have stated the used formulas in the solution.

Q: Given f(x)=x²-2x+1, g(x)=√7-x, h(x) = 2-5x² J

A: Given 1. fx=x2-2x+1 2. gx=7-x 3. hx=2-5x2

Q: 1. Find the area of the surface generated by revolving the given curve about the x-a (a) y = 7x,…

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Q: Q6A A-Graph the cubic shape formed by connecting the eight points {(0,0,0),(0,1,0),(2,0,0),…

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Q: B. Write the equation of a circle in general form given its center and radius. Then draw its graph.…

A: 1. center -3,-2, radius is 4 2. center -4,6, radius is 5 3. center 2,-4, radius is 5 Note:…

Q: Q22) A- Find the volume of the solid generated by revolving region Under the curve (y=4-x²), about x…

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Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and…

A: This question based on the summation questions

Q: 13. Identify the best integration technique for the following: (sin.x cos³x) dx A. Partial Fraction…

A: Identify the integration technique

Q: If y = e Oe3 Oe 3x X² O 2e3 O 3e³ then dy dx at x = 1 is

A: To find derivative of given function at x=1

Q: What position vector is equal to the vector from (4.-3. - 2) to (-5, -8,7)? The position vector is…

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Q: 1₁ -1.2 - St 0 √x sin ex dx

A: Given :   I1=∫01.2xsinex3dx

Q: Prove the identity. tan²x secx-1 (secx + 1)² secx+1 Note that each Statement must be based on a Rule…

A: To prove the identity.

Q: x = log, 70 and y = log₂ 70, then

A: x=log970, y=log270 We have to find the relation between x and y

Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

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Q: Find T centered at x = 4 for all n for the function f(x) = e*. (Use symbolic notation and fractions…

A: Concept: Taylor series: A function f(x) around a point x=a is expanded into a series in a Taylor…

Q: 26. What does the alternating series test tell us about A. The series is converges absolutely. B.…

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