Find the length of the curve 7(t) = (2 cos(4t), 2 sin(4t), t) for –2

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Q: set B: Problem #G · Find the equation of the line tangent to X = JL F (x) C) cos?x - sin2

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Q: dx Vx-4x-7 S- -dy y2-8y+5

A: The given integrals are' 1)1/sqrt(x2-4x-7)  2)7/(y2-8y+5).

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Q: 2 5. Given cos a =- and tan ß =- 2 575BS7, determine the exact COs a value of: a) cos(a + B) and b)…

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Q: 3. Php 120,000 is deposited in a savings bank that earns 9% simple interest per year. What will be…

A: given principal amount (P)=php 120,000 interest R=9% T=5years sum of amount after five year? formula…

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Q: (t- 1)* 24 24 4 24 24 4 1 85 84 g5 84 82 O Option 1 O Option 2 24 24s 12s² + 4s3 + s4 12s2 + 4s3 + s…

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A: Here the area can be found by dividing the entire part in small triangles and adding the respective…

Q: Write the expression into single interval L, f(x)dx + L° f(x)dx = 5. f(x)dx – S° f(x)dx =. 4.

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Q: 125 when p n= 410, p=0.25, and q 1-p. Evaluate the formula z= pq (Round to two decimal places as…

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Q: DEFINITION

A: We will find the Laplaces Transform.

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Q: 13. Evaluate the function. Give the exact value. cos tan (V3) cos(arctan( v3% )= 0.5

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Q: For the curve defined by *(t) = 2 cos(t)i +2 sin(t)j + 3tk evaluate F (2)||du S = to find the arc…

A: Given that the curve  r→t = 2 costi→ + 2 sintj→ +3tk→  = f(t)i→+g(t)j→+ h(t)k→        we  have to…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: 1 (s+1)(s2 +1) + cos t - sin t) + cos t – sin t) O Option 4 O Option 2 5(e-cost + sin t) 5(-e+cos t…

A: L-1{ 1/(s2 +1)(s+1)} expand it  L-1 {-s/2(s2+1) + 1/2(s2 +1) + 1/2(s+1)} L-1 s/(s2+1) = cos(t) L-1…

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A: Let's find.

Q: Evaluate the integral using integration by parts. Do not use any other method. You must show your…

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Q: Integrate 7 dx , 1+ Vx+1 3

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Q: Use Shell Method only Find the volume of the solid obtained by rotating about the x- axis of the…

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Q: x = -2t Given: line l1 : 3 1 – y = Z - 8 and l2 y = 2 + 2t z = 6 + 2t %3D 1. If the given lines…

A: The solution is given in the next step.

Q: At which of the given numbers, the following power series is divergent? 10" x" n! n=1 O a. None of…

A: Ratio Test : Suppose we have series ∑ an.Define, L =limn→∞ an+1an , then(i)  If L<1, series…

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Q: A) What unique characteristic does the graph of y = e have? B) Why does this characteristic make e a…

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Q: Problem 5 3 For the function f(x) on the interval [1, 5], answer the following questions:…

A: According to guidelines,  We must answer only 3 sub-parts of multipart question given. So I have…

Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)^ - 1 5+ 7n n-…

A: Here, the given Alternating series is: ∑n=1∞(-1)n-15+7n

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A: Given : f(x) = x⁴ - 4x²    -----(i) We have to find point of inflection and the concavity of the…

Q: Given x = 2 lnt and y = 1+t, find the equation of the tangent line when t = 2. %3D O y=-4x-8ln(2)-5…

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Q: az əz of Z = - у2 +х at the point (x, y)= (1, 1). 1. Find дх ду

A: We have to solve one question as per guideline Please repost other question again

Q: 4x Find the linearization L(x,y) of the function f(x,y) = e cos (3y) at the points (0,0) and0,

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Q: Find the limits a) lim x2 - 4x + 3 x2 - 1 when x approaches 1 b) lim 6x + 100 7x2 100 when x…

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Q: A cross section of a nuclear cooling tower is a hyperbola with the equation y? - = 1 902 1302 The…

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Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

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Q: 3 By using and only using function composition, show that the following function is its own inverse.…

A: The objective is to use function composition to so that the function is its own inverse.

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Q: Current Attempt in Progress Evaluate the definite integral two ways: first by a u-substitution in…

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Q: Find the area A of the sector shown in each figure. (a) 72° 4 A = (b) 0.5 rad 16 A=

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Q: 1. a. Show that two lines with direction vectors d, = (2,3) and d, = (6,-4) are perpendicular. %3!…

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