Evaluate the line integral foxy²²ds, where C is the line segment from (-1, -1, −1) to (1, 1, 1).

Q: The Drag, F in Newtons (N) on a certain airplane is 300000000 F= 0.00500² + V 2 where v is the…

A: The drag, F in Newtons (N) on a certain airplane is Where v is the velocity of the airplane (in…

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A: In this query, we tackle differentiation. We focus on the function f(x) = , exploring its derivative…

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Q: Find f'(x) and simplify. f(x)=2x5(x-9)

A: Given that the expression we have to find the derivative of the given expression

Q: x+2 3 F) 2x-2

A: given equation

Q: 2) a) Write the following curves in parametric way z(+) = x (H)+ight) 1) zz + i (z-7)-2=0 is) Im ( 2…

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Q: 4) Graph one complete period of the function y = 3 tan (2x+)+ 1. Identify the period, phase shift…

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Q: Let ā = - -71 – and 6 = −41 – 57. Find a. b -

A: Required answer is 33Explanation:

Q: Find the following limits

A: The final answer is:The limit does not exist.Explanation:

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)in…

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Q: Find the inverse Laplace transform of the following: (a) X(s) (b) Y(s) 6 s²²+8s+41 360 (s+4)6

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Q: 10 The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

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Q: ax.)-( Find the centroid of the region shown, not by integration, but by locating the centroids of…

A: In the given region we have one rectangle and one triangle.Region 1 is rectangle and region 2 is…

Q: Let f(x, y) = x³y and c(t) = (t², t³) (a) Calculate: Vf. c'(t) = (b) Use the Chain Rule for Paths to…

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Q: Write out the first five terms of the sequence with, [(1-8)] determine whether the sequence…

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Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: 2. Write an equation for sine and cosine for the graph below. 5. 0 5 10 15 20

A: We have given a graph of the function and we have to find the corresponding sine and cosine function…

Q: Consider the piecewise function x, -2 0. (v) Find the simplified general expression for the Fourier…

A: The objective of the question is to analyze the given piecewise function f(x) and determine its…

Q: -olve 2 cos² (w) - 3 cos(w) + 1 = 0 for all solutions ≤w<2π พ

A: Explanation of the answer is as follows

Q: Find all points of intersection of the graphs of the equations. r = 1 + sine r = 3 sinė Select one:…

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Q: Homework

A: The maximum volume is 3000 cu.cm.Explanation:Consider a rectangular prism:Recall the formula for the…

Q: Find к for the space curve K(t)=☐ (Type an exact answer, using radicals as needed.)

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Q: Given cot(y) = x, what is dy/dx?

A: dxdy​=−1+x21​Explanation:

Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

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Q: According to economic theory, the demand x for a quantity in a free market decreases as the price p…

A: Given:the number x of DVD players people are willing to buy per week from a retail chain at a price…

Q: Find f'(x). f(x)=4xex

A: The objective of the question is to find the derivative of the function f(x) = 4x * e^x. In…

Q: Find two unit vectors orthogonal to both = (2, -3, -2) and = (0, 5, 6). Give exact values (no…

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Q: Find the exact length of the curve. x=e'−t, y=4e¹/2, 0≤t≤2

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Q: horizontal asymtotes of 8x2+2x+1 2x2+3x−2

A: The objective of this question is to find the horizontal asymptotes of the given rational function.…

Q: 7. Determine if each of the following represents an exponential function. If it does, find the…

A: The general form of the exponential function is , where b&gt;0.

Q: Problem #9: (a) Given the initial value problem y3y 10 sint, y(0) = 9, find the Laplace transform of…

A: Answer Explanation:Step 1:Step 2: Step 3: Step 4:

Q: The population, P, of a bacteria colony at t hours can be modelled by: P(t) 450+130t+ 15t² + 2t3 a.…

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Q: Rewrite the following iterated integral in the order dy dx dz: f(x, y, z) dz dy dx.

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Q: We begin by finding the EL equation for the auxiliary functional S[y] = = - S₁ 12 dx (xy2+ Ay - λy)…

A: Please see the attached image for an explanation. Thanks.Explanation:

Q: Given 6 = 41 - 2j and d = -101 + 73, find 16+d| and |b|+|d|.

A: Given b→=4i→−2j→ and d→=−10i→+7j→.To find : |b→+d→|,|b→|+|d→|

Q: Find the points of intersection of the graphs of the equations. Ө r= and r= 1.8 1.8 Select one: O a.…

A: The correct option is (d). (1 . 8 , 3.24).Explanation:Step 1:To find the point of intersection…

Q: Consider the curve x sin(xy - y2) = x 1. (a) dy dx (b) 913 dx dy

A: Question No. (3);Consider the curve .To find the following:

Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Answer Explanation:

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 6? y = 5 + 2e* -…

A: (x,y)=(ln(6),17−9ln(6))Explanation:

Q: 4. Use Equation 5 to find dy/dx. (a) y cos(x) = x² + y² (b) arctan(ry)=x+xy (c) e sin(x) = x+xy

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Q: Evaluate S 1 1 70 da exactly and show that the result is Then, find the approximate value of the…

A: To evaluate  exactly and to show that the result is . Then, to find the approximate value of the…

Q: Find a rational function f that satisfies all the given properties vertical asymptote at x = 4 and…

A: The objective of this question is to find a rational function that has a vertical asymptote at x = 4…

Q: Problem #8: Let y(t) be the solution to the following initial value problem. y"-14y+45y=18e6t, y(0)…

A: The solution is attached as a picture below. Explanation:

Q: Cal math help please

A: 1. ∫x2+17x+2​dx=27​ln∣x2+1∣+2arctan(x)+C (or)                          =27​ln∣x2+1∣+2tan−1(x)+C 2.…

Q: Find T and N for the space curve r(t) = (5e' cost) + (5e' sint) j + 7k. T()+(k (Type exact answers,…

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Q: 1. f(x) = (4x2)5

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: The resale value R (in dollars) of a particular type of laser cutting tool t years after its initial…

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Q: 11-X2 0 dx x = Sin O the trig aluate using the bstitution x=Sino

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