Y and 2 Y if x dx? 七 and yo

Q: Question 4 is not smooth. Assume b=11. Find the value of a at which the plane curve traced out by th...

A: Let's find. 

Q: 7. Given vectors ū =[2,1,4], v =[1,2,–1],and w=[x,1, z] find x and z such that ū x w = v.

A: u ×w = v now u × w = i    j    k                      2   1   4                      x   1   z now  ...

Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing a...

A: This question can be solved using rate of change of physical quantities.

Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

Q: Q: solve the equation 5 lim ( x-3 3y + 4x x - 3

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Q: Determine whether the series converges. Ve k=1

A: To determine: Whether the series converges or not. Given information: The series is ∑k=1∞1ek Concept...

Q: Use the root test to determine whether the series converges or diverges. If the test is inconclusive...

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Q: The Differentiation to be made must be based on the following topics. - Trigonometric Functions G...

A: recall: ddx(sinx)=cosxddx(xn)=nxn-1 Example 1: y=sin2x differentiating using chain rule dydx=ddx(sin...

Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate int...

A: Here, the given DE is: (x2+y2-7)dx=(y+xy)dy⇒(x2+y2-7)dx-(y+xy)dy=0...(1) Now, Comparing it with M dx...

Q: 2r (1- lim

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

A: Question - a Given functions, x=y2x=2-y2 Axis of rotation, y=1 Formulas used: ∫xndx=xn+1n+1

Q: Find the indefinite integral. sin3 70 V cos 70 de

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Q: The Differentiation to be made must be based on the following topics. - Product Rule Give 3 examples...

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Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

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Q: 12x Ja +9)6 dx

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Q: di 4. The voltage across an inductor is given by v= L dt (4) Find the voltage across a 40H inductor ...

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Q: 3. Find from the following functions: dx y = (12x + 2)(7x + 3)3/2 18+2x+7 y = (i) (ii) (3x+6)2/3

A: 3)I) y=(12x+2)(7x+3)3/2 ii)y=(18x2+2x+7)/(3x+6)2/3.

Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3 example...

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Q: A. Find the following limits: 2t2+3t+1 iii. t+0 lim 2t-1

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Q: dx tan-를 (64 + x) +C 512(64 + x) 512 dx tan" (64 +x -C 1024 128(64 +x) tan + C 512(64 + x) -- (64 + ...

A: Find your answer below 

Q: Jse the definition of Taylor series to find the Taylor series (centered at c) for the function. 4 f(...

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Q: 13. A cruise ship leaves port and sails at a heading of S60°W to an island that is 200km away. The n...

A: Find your answer below 

Q: Find the indefinite integral. 2+ 4x + 3. dx B+ 6x² + 9x + 2 Step 1 du/dx dx Let u = Begin by rewriti...

A: The given integral,       ∫x2+4x+3x3+6x2+9x+2dx

Q: Find the volume of the solid obtained by rotating the region between the curves y = 3x - x³ and x-ax...

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Q: Write the first five terms of the sequence: +Do |{vn² + 10n – n}, n=1 Determine whether the sequence...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Question 3 Find the length of the curve with the given vector equation. r(t) = (8 - 21) i+ (4 + 6t) ...

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Q: II. For each of the following functions, find the indicated derivative using the definition. Show so...

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Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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Q: S sec 2ydy

A: Topic:- integration

Q: 1D Learning Task 2: Find the slope of the given two points 1. (5,2); (2,3) 2. (0,3); (-2,5) 3. (3,5)...

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Q: 10* (100* + 1)dx

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Q: Using the figure shown, find sing (3, - 4) -3/5 3/5 4/5 -4/5

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Q: Given: C = 10 24° В a = 12 C Find the following item (nearest whole number and degree).

A: Find your answer below 

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: Using appropriate substitution, 3 the integral J1 x(3+ln(2x))² dx is equal to: 1 1 1 1 3+ln 2 3+ln 6...

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Q: (-1)"3na" n -5 V. Determine the interval of convergence of

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: I Y=t5メPYove th y-2(21くるど

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Q: 8n5 + 3n Let an no +7 (a) Determine if the sequence an is convergent or divergent. O Convergent O Di...

A: Here, an=8n5+3nn5+7

Q: 2. Find the indicated limits of the following algebraic and trigonometric functions: x' -1 a. lim x ...

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Q: The derivative of the function y = tan-1 Vx2 – 1 + csc¬1 x, where x > 1 is: |

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Q: The Differentiation to be made must be based on the following topics. - Power Rule Give 3 examples w...

A: It is required to give three examples with solution and final answer on differentiation using power ...

Q: X+イ

A:

Q: Question 6 of 9 Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = x0 and then fi...

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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Q: Using the tabular approach, evaluate lim X-1+ Inx

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Q: Using the figure shown, find csca (3, - 4) -5/4 -5/3 5/4 5/3

A: Here we will find  cscθ,

Q: A lighthouse rotates its light in a circular motion with a constant speed. If the beacon of light co...

A: Given ,  A lighthouse rotates its light in a circular motion with a constant speed If the beacon of ...