Find an arc length parameterization of the given two-dimensional curve and give the corresponding vector equation of the curve: 1. circle of radius 2 centered at the origin

Q: Find the derivative of the function y = 1ln(cos 2x)+4tan? (3x) Write the value of y (0) in the box b...

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Q: 3. Let an be the sequence defined by a1 = 1 and an for - ... n > 1. (a) Calculate the first four ter...

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Q: x (2x+3) f(x) = (x² +1)*

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Q: Find the Taylor polynomials of orders n = 0,1.2,3, and 4 about x = x9, and then find the nth Taylor ...

A: f(x)= e ax f0(ln 7)= 7a   f'(x) =ea x af'(ln 7)=ea ln 7 = a 7a   f' ' (x) =ea x a2f' '(ln 7) = ea ln...

Q: Determine the global extreme values of the function f(x, y) = x² + y? – 4x – 6y on x > 0, 0 x. Use ...

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Q: 7. Solve the inequality g(r) = 9r + 9r-25r – 25x2 < 0 first algebraically and then checking your ans...

A: Given that Inequality gx=9x5+9x4-25x3-25x2&lt;0Solution :9x5+9x4-25x3-25x2&lt;0x29x3+9x2-25x-25&lt;0...

Q: et dx (9 + e2¤)

A: Integration   by subsitution technique 

Q: Simplify the following expression using trigonometric identities. Your final answer must be a single...

A: Given query is to find simplified term for the expression.

Q: Using the method of undetermined coefficients, write the form of the assumed particular solution for...

A: Given: y"+2y'+y=x2e-x Auxiliary equation are,  m2+2m+1=0 (m+1)2=0 m=-1,-1

Q: Va – V34 - lim x → 34 34 - (Use calculator and write your final answer in the given box)

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Q: O XsinCyldx +(x^t)cos(y) dy=0

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Q: 2. S(Vw +2)Vwdx

A: Topic:- integration

Q: 7. S(2 + tanx)²dx

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Q: Simplify sin e cos e tan e 1 tan?0 sececote

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Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr...

A: We have to find out degree

Q: xy°dx + (y+1) e "dy= 0

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Q: 13. Find the solution set of b) 14x – 1| > |2x + 3| + 1

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Q: sin(Tx lim x + 12 In(x – 11) - (Use calculator and write your final answer in the given box)

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Q: 4x+2 find average rate of change from x=-1 t x=1

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve to x = 4 ab...

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Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is =2...

Q: If the linear relationship between Y and X is positive (as X increases Y also increases), then there...

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Q: Determine the standard equation of the ellipse that satisfies the given properties: center at the or...

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Q: sin(2Tx) lim x → 6 x² – 36 -0.3333 T O 0.1667 ↑ O -0.1667 T O 0.3333 T

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Q: Find the minimum value of the function f (x, y) = 16x² + 81y? subject to the constraint xy = 1.

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Q: Determine the standard form of equation of a hyperbola with center at (6,4), with a focus at (6, – 1...

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Q: A graphing calculator is recommended. Consider the following. cos(x) = x3 (a) Prove that the equatio...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Given

Q: Give the coordinates of the vertex to the right of the center in the equation: (x- 3)2 (y-1)² =1. 9....

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Q: x+1 dx 3. (25 – x²)3/2

A: Solve by separate integral

Q: 2. Let x+1 r -1 Determine if lim f(x) exists. r-1

A: The objective is to determine if the limit exists or not. 

Q: Edit Find a formula for the graph shown in the figure in terms of sin x or cos x. 15 5 -10f(x)+ 5 37...

A: Here mid line is y=5. Amplitude is 10 ( graph is above and below the mid line 10 units.)

Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3D

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Q: Find average rate-2x^2+3x+5. X=-3 to x =9

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Q: Compute the limit of the nth term and use it to explain why the series is divergent. +00 2" – 1 2 2n...

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Q: Determine the solution to the second order homogeneous initial value differential equation 1 y"+ 3 y...

A: Topic:- differential equations

Q: Find dy/dx by implicit differentiation for tan-(r²y) = sin(²) + 3xy

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Q: Prove the following identities. sin 3x v 3 sin x - 4 sin cSC X - 2 sin 3 sec x - 4 sin

A: Given query is to prove the identity.

Q: 1. Find the area of the region bounded by the graphs of the equation y = x and y = x2.

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Q: Use the Theorem of Pappus to find the volume of the given solid. The solid obtained by rotating the ...

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Q: Which of the following equations is an ellipse? Ay²= x² + 4 (x– 2)² , (y+2)² (B) 1 25 25 x2 + 4y2 - ...

A: Given: - The four equations,  (a) y2=x2+4(b) (x-2)225+(y+2)225=1(c) x2+4y2-16=0(d) 4x2+4y2-5=0 To ch...

Q: Given the graph of the function below, what is lim f(x)?

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Q: Determine whether the vectors are linearly independent or linearly dependent. 7 9. [5] v, = |0|v, =|...

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Q: (2xye(x^2)y+y2ex(y^2)+1)dx+(x2e(x^2)y+2xyex(y^2)-2y)dy=0

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Q: Use technology to evaluate the given expression. Take 1.3 7.3 A = 1.6 -2.34 5.7 and B = 5.3 0 O 12.9...

A: A=1.6-2.345.744.9012.9 and B=1.37.35.305.56.3

Q: A point (3, - 1) on the terminal side of an angle 0 is given. Find the exact value of csc 0. 2/10 O-...

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Q: Select all that apply. Solve the following equation; domain 0o sx< 360 3 cot x = V3 120 300 60 240

A: Given query is to find the value of x.

Q: Problem 6 Consider a market that sells individual marbles. Qs=2+2*P Qd=11-P   A $3 tax on consumers ...

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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Q: 11T Convert the angle to degrees. 18 00.6111° O 110° O 324° 11 3240 O none of the above

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