Find the sum by adding each term together. Use the summation capabilities of a graphing utility to verify your result. A /= 1 (4i + 5)

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Q: y=x5, mn=-1/80

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Q: -6-5-4-3-2-1 6 I 4 3 2 L -2 -4 -5 T 2 3 4 5 6 X

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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.

Q: 3 2 -1 2 we rational function f(x) = 1 3 Q 20 2.5r2 +4 > identify the int

A: Topic:- calculus       Definition:- If the second derivative of a function is negative on some…

Q: If f(x) = f'(x) = 4-3x7, find f'(x). Use exact values.

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Q: Find F as a function of x and evaluate it at x = 0, x = 7/4, and x = 7/2. 1-² sin € F(x) = F(0) =…

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Q: im not really understanding because its typed

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the const (x³ -…

A: The given integral is ∫x3-12x-4dx use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C use the…

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Q: Consider the function f(x) x² + 7x + 12 2-5 a. Find the first derivative. f'(x) = b. List any…

A: Solution is here

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: Differentiate the following function. You do not need to simplify the derivative. h(x) = (lnx) ³…

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Q: EQUATIONS 5y" - (y')4 = y³ sin x yy" + 2x = tan x )' - - 8² 8f + (9) St² - 8³ M dy³ dy² xt' + (t")3…

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Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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Q: it got marked wrong? did i type it in wrong?

A: We have to find the formula for the sum of n terms and use the formula to find the limit as n tends…

Q: If 2x² + 3x + xy = 3 and y(3) = — 8, find y' (3) by implicit differentiatio

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Q: Find lim Ax-0 f(x+1 + Ax) = f(x) - Ax f(x) = 3x². - 9x Step 1 Find f(x + Ax) by substituting x + Ax…

A: Given  f(x) = 3x2 - 9x

Q: Calculate (t) when k(t) = r(t) = (6t¯¹, 1, 6t)

A: r(t)=6t-1, 1, 6t Formula for  curvature κ(t)=r'(t)×r''(t)r'(t)3

Q: Given the function y = −2x√/2 - 4x, find dy in any form.

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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: 3 3 3 2 (49) (+91 i- -74+ i n n n integral, that is provide a, b and f(x) in the expression f(x)dx.…

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Q: Given that answer= 5 f(x) dx = 3' what is 11 f(w)dw?

A: Property of Integral : 1.∫abf(x)dx=I ⇒ ∫abf(w)dw=I   2.∫abf(x)dx=I ⇒ ∫baf(x)dx=-I

Q: (i) Solve the following triangle. (You may need a calculator) C A 45° 105° N B

A: As per the guidelines, we must answer only one of the multiple questions given. Therefore, I answer…

Q: y(x tan x + In y) dx + tan x dy = 0.

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Q: c) lim f(x), limf(x) y limf(x). -3 -2 -1 4 3 2 0 y = f(x) 2. 3

A: Check for the corresponding values where the graph is continuous and check for both sided graph…

Q: The graph below is the function f(x) Find lim Find lim I→-1- Find lim 4 3 I→-1+ in 2 01 I-1 es 1 2…

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Q: Find the derivative of ( Ⓒ) (05'(x)

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Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: R If is in standard position and ≤0≤ and sin 2 O 5 O_3 3 3 9 then the value of tan is:

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Q: -(x-a)² - 1, 7. g(x) = tan x (x + b)² + 1, x>7 What must a and b be for the given function to be…

A: Given :

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Q: The graph of the function f(x) is shown below. State all values of x in the ope which the function…

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Q: 2. Suppose a population of insects grows exponentially, there were 130 insects after the third day…

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Q: tan' (2)

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Q: Find the slope of the tangent line to the curve − 3x² + 2xy − 4y³ at the point (4, 1). - 44

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Q: What is the max area of a rectangle placed between the x-axis and the function f(x)= -x^4 + 3

A: To determine the maximum area of a rectangle placed between the x‐axis and the function fx=-x4+3.

Q: -4 -3 -2 -1 -5-4 5 4 3- 2+ 1 -Y -2+ -3+ -4+ -5+ 2 3 4 5 X

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Q: What is the radius of convergence of the series R=2 b. R=1 R = ∞ d. R=0 a. C. +∞ xn n+1 -?

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Q: Find the length of one turn of the helix given by r(t) == cos(t)i + sin(t)j + 1 1 99 25 -tk.

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Q: Find the value of C so that y(t) = Ce2t satisfies the initial condition y(1)=1

A: Substitute t=1

Q: What is the derivative of k(y)=(6y^−1+3y^−2)(6y^−3+4y^−4)?

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Q: Compute the rotated area bounded by y = 2x, x = 2 and x-axis about x-axis

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Q: Wha is the derivative of exp(22²)? ○ 4a exp(2x²) exp(2x²) 2x² - exp(22²) exp(4x) ○ 4x exp(4x) ○…

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

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture.

Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: Given graph of g' is shown below