Find the arc length L of the graph of r(t). r(t) = 1³ i + 1 j + = √61² k, 3≤1≤7

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A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the following integrals by substitution. Show your complete solution. Express your answer…

A: We have to find integral solution

Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.

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A: Given;  X'=AX X(0)=(2            4).

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Q: n of Calculus to find the derivative of the

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 3 1 = lim t+oo 8t² +9' 5t, (?, ?)

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Q: Solve the system using Cramer's Rule. - 6z + 2y + 6z = – 14 - 3z - 4y + 5z = – 6 - 5z + 3y –2z = 1…

A: To solve the following system of equations bu using Cramer's…

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Q: 2. Use the following partial graph of f(x) to answer the next question. f (x)' 10. The value of (f…

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Q: Use trig substitution to evaluate: (hint: let x = 3tan0) %3D

A: ∫01xx2+9dx

Q: Find the center of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. (2, 2) (-2, 2) (2, -2)

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Q: Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

A: Let's find.

Q: Suppose that sec(t) = 3/2 and that tis in quadrant IV. Find the exact value of tan(t). -3/2 -$5 O -…

A: 1 +tan2(t) = sec2(t) In Quadrant 4th , secant and cosine are positive. Note : As per our Guidelines…

Q: 8. If F(x)= dt, then F'(x)=

A: Using Leibnitz rule for integral.

Q: {In (n+10) – In (n+5)}°

A: an =ln(n+10)-ln(n+5)an =lnn+10n+5limn→∞ an =LIf the limit exists and finite, then the sequence is…

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A: We can answer the question as below.

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

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Q: Find the nth derivative of y = In(16x2 – 9).

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Q: Which of the following is the Taylor series expansion of the function (x) =ex? with center at 0. 00…

A: Taylor Series representation of e-x about x=0 is given by, e-x=∑n=0∞-1nxnn!....(i)

Q: 2.Figure out the following = 2t2 +Int, t>0 dy. = cos(t – 1) c.f(z) =| -1|,9(z) =| 1.f'(1)?g/(0)? ?…

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Q: From the graph below which statement is true? (A) not a function (B) function; domain: R (C)…

A: To determine which of the given options is true for the given function

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Q: Solve me initial No need to Jimphiry. by value the separaion of variables a.

A: To solve the following initial value problems by the separation of variables.a y'=1+y2, y0=1b…

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Q: I. Evaluate the following integrals by substitution. Show your complete solution 1. S (3x + 5)12dx…

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Q: Current Attempt in Progress Describe the graph of the equation. 14 sin 9t i + 14 cos 9t j r = It is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: To find all the partial derivative.

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Q: 1. Sketch the graph of r = 6/ (3 + 3 cose).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A: Polar curve

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Q: -1

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Q: dy 1 dx 3y3 By the method of separating the variables y = x3 y = Vx+ c Option 1 Option 2 y = vx + c…

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Q: x²+x dx (x²+1)(x+2)

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Q: 3 S(x) = 6x² + x – 7 Find the coordinates of the point of inflection on and prove that it is a point…

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Q: 2. Let f(x)=x-3x² a. Determine all x-values where f(x)=0 b. Fill in the table below with the…

A: This question can be solved using the concept of points of inflection.

Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: x³+2x2-3x x² +4x+3 2) Evaluate lim -6-1. X-3 Show every step.

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the smallest value of x for which the series (x+ 124)" 2in(n) n 2 is conditionally convergent.…

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Q: Question 1 of 8 - /5 View Policies Current Attempt in Progress Find the arc length of the parametric…

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Q: Find the exact length of the curve. y2 = 64(x + 1)3,   0 ≤ x ≤ 1,  y > 0

A: Given,             y2=64x+13 , 0≤x≤1 , y>0To find : Find the exact length of the curve.

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Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

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