Find the length of curve y In (secx) from x=0 to x=

Q: Give the indefinite integral for the following sum of power functions J(x) = 5x4.5 + 4x3.5 + 4.5x +…

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Q: (-1) Investigar la convergencia o divergencia de la serie E1 n+2

A: answer is in next step

Q: Find u · v, u · u, ||v||². (u - v)v, and u · (3v). u = (3, 12), v = (-2, 3) (a) u. v (b) u.u (c)…

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Q: In R?, using vectors and angle between vectors, verify that the points P (13, –1 Q(-9,3) and R (-3,…

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Q: Consider the following differential equation. (x2 + y2)y′ = y2 Let  f(x, y) =  y2/x2 + y2 .  Find…

A: This is a problem of differentiation of the function. Based on the general formula we will answer…

Q: Solve the equation: Зx(ху — 2)dx + (х3 + 2у)dy %3D 0. O x³y – 3x² + y? = c O 3xy – 3x? + y² = c

A: Here is the solution

Q: 1. ſ e*sinx dx

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Q: Find a and b such that v au + bw, where where u (1, 2) and w - v- (0, 6)

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Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing…

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Q: xe* хе dx. J (x + 1)2

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Q: IM Given that > п+1 = 0.47199 determine the value of n3 n + 1 n=3 n3 n=5

A: This is a problem related to series and sum calculation. Based on the general formula and concept we…

Q: 13. Find the inverse of A= 1 1 Use any method. Show your solution. 0 2 3 55 1J

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: Use limits to determine all the linear asymptotes of 3r2 if I1. x² + 2x – 3'

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= <4,-1,7>            b =< 4,4,-7 >

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d)…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: Find the component form and magnitude of the vector v with the given initial and terminal points.…

A: Find your answer below

Q: ピ+5 1 lim t一+0|5t2 +6'2t (?, ?)

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Q: Solve the initial value problem. 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. %3D %3D

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Q: Consider the following lines defined by I,: x – 3 = y – 5 = z – 6 and I2(t) = . c) Determine if the…

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Q: Consider the following equation and point. f(x) = a (3, -1) x - 4 Find an equation of the tangent…

A: First we have to calculate slope of the given function to calculate equation of tangent

Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

Q: Y thenumber of Limits of. E -63? gontric k series Skz Ak=7 B に2 6 Ok26 No if the above.

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Q: Find the arc length of the parametric curve. x = e', y= et, V2t; 0<t<8 z = L =

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: The domain of the function is the set of all possible input values for which function is defined .

Q: Verify that the two planes are parallel. -x + 6y + 3z = 8 1. x + 2y + z = 9 Find the normal vector,…

A: Let's find.

Q: d Calculate r1(t)·r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and…

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Q: Find the following. u = (0, 1), v = (5, -3) (a) |u|| (b) ||v|| (c) |u + v|| (d) |u| M (e) U + V (f)…

A: We can solve this as follows:

Q: Consider the following. 3D(6,-1,0) v = (-2, 3, 0) u = %3D Find u x v. Determine if uxvis orthogonal…

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Q: nsider the Integral I when answering the following questions. g(x) dx

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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = 3(-4,3) %3D (a) u v (b) (c) ||v||2 (d) (u…

A: The solution is given below

Q: Evaluate the indefinite integral. | x34 sin(x35) dx

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) = V…

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Q: Let F = sin (2x + 4z) i – 8ye** k. Calculate div(F) and curl(F). (Express numbers in exact form. Use…

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Q: Derivatives: using (4 step rule). 1. q(t)=10 + 5t – 1? 2. s(x)= 3-x ,2 4. f(x)=sin3xcos 3x 5.…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v= (0, 6) %3D b =

A: Explanation of the answer is as follows

Q: 4. For each of the following, state whether the equation is ordinary or partial, linear or…

A: here derivative of first order so order 1 here power of x is 2 so non-linear and ordinary equation…

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: The objective of the question is determine the interval in which given vector-value function is…

Q: 1 у 3 2 y (х + 2)

A: y = (x+2)-1/2 dy/dx = (-1/2)(x+2)(-1/2 - 1) dy/dx = (-1/2)(x+2)(-3/2) dy/dx = -1/2(x+2)3/2

Q: Explain why the integral is improper. 25 05 O At least one of the limits of integration is not…

A: Here, the given integral is: ∫091xdx

Q: Expand f(z)=1/(z-1)(z-2) in a Laurent Series valid for the given annular domain: 1 < |z| < 2

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Q: Find the intervals on which f is increasing and decreasing. f(y) = sin y - y cos y on 2' 2

A: Find your answer below

Q: A region bounded by f(x) = 5 -x, y 1, and x 1 is shown. What is the volume of the solid formed by…

A: Let's find.

Q: Find the curvature K of the curve. r(t) = 9 cos(nt)i + sin(at)j K =

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Q: f (x) = x²In x + sec x; find f"(x)

A: Given ,f(x)=x2ln(x)+sec(x)DIferentiate…

Q: Step 2 6i If x = -2, then each x = -2 + jAx = -2 + 6i Step 3 Using (1 + 3x) dx = lim (1 + 3x,) Ax,…

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Q: Find the following. (0, 1), v = (5, -5) (a) lu|| (b) v|| (c) ||u + v|| (d) (e) ||v|| u+v

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Q: I just need help solving this integral

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Q: dB Bln's

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Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

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