Find a power serie CAPS |||| Determine the interval of convergence. (Enter your answer using interval notation.) 3.3 Happy for the function. (center your power ueries representation at x = 0.)

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Q: Using partial fraction in evaluating Ⓒ-1/2 (2x+1)+ 7/7/ A B 2x-6 © 1/2-(2x+1)= 1/7/2 D 6-2x…

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Q: 2.4 x cos x² dx

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

Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

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Q: Use the ratio test to determine whether Σ n=10 converges or diverges. n(-3)n n!

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Q: Sol:- ➤ For yo y"-2y'+y=e* Homogeneous (e' = 0) op

A: For complementary solution solve homogeneous differential equation.

Q: 5. Given: G(x, y) = 4y¹ sin(2x³) Gyxy(x,y). What other 3rd order partials are equivalent to Gyxy(x,…

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Q: 4. Determine the limits: a) b) 4x²-8xy lim (x,y)-(2,1) (x²-xy-2y², lim (x,y) → (0,0)…

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Q: sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4)…

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Q: Question 9 Let f(x) f-¹(x) = 1 2+8

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: f(x) = 8x + 2x−¹

A: answer is in next step

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A: Let's find.

Q: Slove.. -x e lux by BiSection

A: Answer is in below steps.

Q: Test the series for convergence or divergence. n 6n n=1 Use the Select and evaluate: lim n→∞…

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Q: 1. Three-digit numbers (a) How many repeating three-digit numbers can be formed using the numbers…

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Q: Q3: Find gradient of the following function at given point 1) f(x,y)=y-x, (2,1) 2) g(x,y)=y-x²,…

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Q: 2. To evaluate fr -dx, apply integration by parts twice. For the second application of integration…

A: Solution: ∫ln x2x3dx Integration by Parts ∫uv' =uv-∫u'v

Q: c. The region R enclosed by the curves y = x and y = x² is rotated about the line y = 2. Find the…

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Q: [x-²sec (an ² (2) dx 7 2tan ²2 (²) - 7tan² ( 1 ) - ₁ X + C 77 11 2ten* (²) 2³(-).c 2tan X - + +C 11…

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Q: Find the arc length of the parametric curve. L x = 4 cos(t), y = 4 sin(t), z = 3t; 0≤t≤ T

A: Given problem:- Find the arc length of the parametric curve.   x = 4cos(t), y = 4sin(t) , z = 3t ; 0…

Q: Find the inverse function of f(z)-1+.

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Q: Find the radius of convergence, R, of the series. 12"x" n n = 1 R = Find the interval, I, of…

A: As per as our guideline i am supposed to answer only one question please repost remaining question

Q: Find the radius of convergence, R, of the series. Σ (. (x-7)" n=1 n R = Find the interval, I, of…

A: Given:   ∑n=1∞ x-7nnn

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Q: 25 125 Explain why you think the series - 2 + 5 - .... 2 8 converges to a 32 finite number or…

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Q: Fill in the blank so that the resulting statement is true. 7x-23 If In = In (x-3), then =x-3. x + 2

A: ln7x-23x+2=lnx-3⇒7x-23x+2=x-3

Q: Find the radius of convergence, R, of the series. - Σ (−1)n (x − 6)n 6n + 1 n=0

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 5) 5) g(x, y) = x²y + cos(y) + y sin(x) r(x, y) = ln(x + y)

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Q: Question 7 Let f(x) = 6x +11 f-¹(x) =

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Q: Question 1 > Consider the parabola given by the equation: f(z)--22²-12z+7 Find the following for…

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Q: Determine the number and type of solutions for the equation - 3x² + 14z 15 0 =

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Q: Admission to a baseball game is $⁢2.50 for general admission and $4.50 for reserved seats. The…

A: Given Admission to baseball game is $2.5 for general admission and $4.5 for reserved seatsThe…

Q: Find F'(x). SOLUTION IN HANDWRITTEN|| 1 1. F(x) = √²2dt -2x-³ 2. F(x) = ²x²²x cos x² dx

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Q: 1. f (5x¹8x³ 2. f (4x + 2) de +6x² - 4x + 7) dx

A: Topic:- integration

Q: 1) x² + y² + ² = 3, P. (1,1,1) 2) 2=-x²=0, P. (2,0,2) XZ 3) cos(x)=x²y + e + yz = 4, P. (0,1,2)

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Q: Find the exact value of the trigonometric function of using the given format: 5T Let 8 = then is in…

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Q: 1/(x) = ² x ³² - 2² x ³² + 4x +4x. Find 12. Given the function All critical points of f(x) (b) The…

A: f(x)=13x3-52x2+4xa) Differentiatef'(x)=13.3x2-52.2x+4f'(x)=x2-5x+4For critical points…

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Q: tan(x) dx cos4(x) tan'(x) A [7tan²(x) +9] + C 36 1 ℗tan'(x) + tan³(x) + C C D sin²(x)sec³(x)…

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Q: Find the inverse of f(x) f-¹(z) = . ✓ 3z + 1 -3x+4

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Q: rem, if applicable, to determine if f(x) takes the value 0.1 for some x in [0, 1].

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Q: Find the arc length of the parametric curve. x=e¹, y=et, z = √2t; 0≤t≤5

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = e√²t¡ + e¯√²tj + 2tk,…

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Q: Find the average rate of change of g(z) = 4x + 5 between the points (-4,-11) and (3,17)

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Q: How many different 5-digit phone numbers do not contain the digit 6? Assume that any digit in the…

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Q: The height y (in feet) of a ball thrown by a child is 1 y 162² +42 +5 where a is the horizontal…

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