Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of, does the curve has a length of 34? I.1SIS2 I. 35IS4 O l only

Q: 8 2 1. Reverse order, then integrate Sr) dydx.

A: Given:    Intergral is given

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Q: 1.5 3-X Evaluate the integral *dy dx using polar coordinate

A: Follow the procedure given below.

Q: I. Evaluate the following integrals. 1 . J <(9 – In² r}5/2 d.x x(9 – In² x)5/2'

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Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1 ii. Find the interval of convergence of the power…

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A: Topic = Derivative Only Question B is asked by student.

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Q: (-1)" Given: power series > (x + 1)" 2n2 +5 n=1 Find the interval of convergence of the power…

A: To find the radius of convergence we will find first limn→∞an+1anthen equate it to less than 1

Q: ) Evaluate the following integral using Partial Fractions Method: y = x3 + x2 dx х2 + х — 2 x – 2 |

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Q: Let an = n>1. In(2" +1) 1. Determine if the sequence {a,} is convergent or divergent. 2. Determine…

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Q: Since f'(c) f(1) – (0) f(1) – f(0) = 1, f(c) = 1. We therefore equate f'(x) to 1 and solve for x.…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = for f(x) = cos(x). %3D T2(x) must…

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Q: g(x) - tan(x)

A: The functions given are fx=x,gx=tanx. Formula used: Newton's Formula xn+1=xn-fxnf'xn

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A: We will use simple Integration rules to solve this question.

Q: mplify using Set lIdentities. Indicate the rule applied for each step. (An B)U (CnA)nB Statement…

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Q: Section 6.2 p. 558/560 # 70 In the following exercises, express each series as a rational function.…

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Q: (Basic Differentiation Rules Basic Calculus) Kindly answer 1-3 and show complete solution. thank…

A: Formula:ddx(a f(x))=a  ddxf(x)ddx(xn)=n xn-11)f(x)=10 x10f'(x)=10 ddx x10f'(x)=10 10 x10-1f'(x)=100…

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 cos (- 0) in…

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Q: Solve for "z" 7x + 3y + 8z = 10 -8x + 1y - 5z = 18 1x - 8y + 2z = 16 Round answer to 2 decimal…

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Q: Determine if the given series is convergent or divergent. 3" en – 2" n=1 2.

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Q: The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

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Q: Find the saddle pointis of the function f(x,y) = x° +y°+i y+4 Oa(5-1) Oc (4.0) & (4,0) Od(0.0)

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 81 is…

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Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

A: Answer and explanation is given below...

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Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). x00 X→ー0 f(x) = -5x - 3x + 2 cos…

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Q: 4. S cot?x dx

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Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3rVx+ 2 10 4. -…

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Q: Solve

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Q: Find each of the following indefinite integrals.  c. Z (r+2)^2/r^3 dr

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Q: ...................... Consider the following. 4 f(x) = (a) State the domain of the function, all…

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Q: 4. Solve * dT 4 dp = 0; T= To when p= Po dp pdT Po e (T-To) Option 5 e- (T-T,) Po Option 2 P = e…

A: To solve the following differential equation.ρdTdρ-4ρdρdT=0; T=T0, when ρ=ρ0

Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: Let's find.

Q: Problem 1: Evaluate the following definite integrals. Sx(x2 + 1)V4- 2x2 – x dx -dx

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Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] S-3 minimum (s, h) =…

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Q: Consider a, = for n EN = {1,2,3,...}. 2n +1 2n +3

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Q: Solve the differential equation y’=xsqrt(y); y(0)=1

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Q: Question Use the second derivative test to find the location of all local extrema in the interval…

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Q: Evaluate: / yº sech(eThy ) tanh (e "hy ) dy 7Iny -mch(v^) + C None -ech"(,?) + C

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Q: Find f"(1) if fx) = x- 2x+ T. O 3n? - 2 O 31? – 1 12 - 21

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Q: A rectangular piece of cardboard has a size of 45 x 24 cm. This cardboard will be made into a box…

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Q: Find f"(-1) if Ax) = (x² -x+1)(x +1). O -1 3. O -3 9.

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Q: Consider the following function. f"(x) = 48x Find f'(x). (Use C for the constant of the first…

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