Mw.3 Find Ih arcon regian for the ollowwg Regian bomdel.by.y=x- Y= and S=2

Q: 3. f(x) = A. x = 0 B. x = 1

A: We know that a function is continuous at x=a if limx→a-f(x)=limx→a+f(x) =f(a) The function f is…

Q: 1 dx 5х e

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Q: What is the area of the region bounded by the graph of r2 16 cos 20? (Choose all applicable…

A: The curve r2=16 cos 2θ

Q: Write the scalar equation of the plane with normal vector - [1, 2, 1) and passing through the point…

A: We know that equation of plane passing throgh the point (x1,y1,z1) and perpendicular to the vector…

Q: I +1 x2 – 1 3 at x = 4 1. f(x) = 3x2 + 2x +1 at x = -2 5. h(æ) : at x = 1 2. f(x) = 9x - 1 at a = 1…

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as…

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Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 9 tan -); P(-10, 10); а…

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Q: Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three…

A: Let x, y and z be the three positive number so,  sum of number   x+y+z=18

Q: (2x - 5y + 3)dx - (2x+4y - 6)dy = 0

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Q: 2. Find the second degree Taylor polynomial of g(x) the value of –9.2. Express the estimated value…

A: The given function is: g(x)=1-3x3=(1-3x)13…

Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. Lj :x = 1 + 7t,…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y²,…

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Q: Determine whether the lines Lj and L2 are parallel. L: x = 1– 2t, y = 4 + t, z = 6 – t L2: x = 4 –…

A: L1:x-1-2=y-41 =z-6-1=tdirection ratio: V1=(-2, 1, -1)L2:x-4-6=y+23 =z-7-3=tdirection ratio: V2=(-6,…

Q: d,e,f

A: We will solve the limits.

Q: Determine if the following statements are true or false. (a) A square matrix has an inverse if the…

A: We have to determine if the given statements are true or false.

Q: A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8…

A: It is given that a projectile is shot from a cannon, the muzzle velocity is v0=500 m/sec at which…

Q: 2 x+1 dx J-1

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: (a)limx→-3-h(x) =4(b)limx→-3+h(x)=4(c)limx→-3 h(x) =4(d)h(-3) = DNE(e)limx→0-…

Q: 12. Solve the following initial value problem: dy =3 dz VE-1 sin(y)' v(1) = 0. Make sure you write…

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Q: Question 4 Find the derivative 4f (x)]; ƒ (x) = log, (sinh(arcsec 4-1) coth (arcsec ( 4-1)) 422-2…

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Q: For the following data set, find the regression line without using a calculator. x 1 2 3 4 y 26 8 9…

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Q: Which method/s can be used to find the volume of solid of revolution of the following? (Choose from:…

A: Given problem:-   Volume of Region bounded by y = x², x=0 and y=15, rotated about the y-axis

Q: 6" We want to determine if the sequence is monotonic. (3п)! Using the ratio test we get that n+1 Sn…

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Q: Find the vector component of v = (4, – 1,7) along b = (6, 6, –7) and the vector component of v…

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Q: Find parametric equations for the line whose vector equation is given (a) (x, y) = (3, –5) + t(1,…

A: A)x, y =3, -5 + t 1, -2x, y =3, -5 + t, -2tx, y =3+t, -5-2t Parametric equations of the line:x= 3 +…

Q: Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint.…

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Q: Find a formula for f'(x) and determine the slopef'(-5) for the following function. 6e f(x) - Te* + 6…

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Q: Solve triangle ABC if a = 5 ft, b = 6 ft, and A = 35 degrees

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

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Q: p³ + x² – 4 4x = x +1+ - 1. Consider the function f(x) Note that - 4° x² – 4 x2 (x2 – 12) (т? — 4)2…

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Q: 2y Find the directional derivative of f(x, y, z) = x + z at P(4,4, –3) in the direction from P to…

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Q: Cosx sinx 1+sinx

A: The given integration is ∫cosx sin2x1+sinx dx We solve the integral by proper substitution. Let,…

Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: 1. Let f(x)=xDefinition of derivativesf'(x)=limh→0f(x+h)-f(x)hf(x+h)=x+hf'(x)=limh→0x+h-xh=limh→0hh∴…

Q: x cos x² 2. X C0 dx -siny

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Q: In 2000 the population of the United States was 280 million and the number of vehicles was 200…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: This question is based on finding the adjacent edges of tetrahedron and dot and cross product use.

Q: Determine if the following statement is true or false. The points P,(2, 0, 1), P2(3, – 2, – 3),…

A: We know that three points P1, P2, P3 lie on the same line if direction ratios of P1P2 and P2P3 are…

Q: (a) Write a nonrecursive formula for the term of the arithmetic squence a based on the given…

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Q: 2. f(x) = x² - 5x + 6 A. x = 1 B. x = -3

A: This is a problem related to limit and continuity parts of the calculus. Based on the general…

Q: Salve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y=…

A: Let's find.

Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series ΣΗ 1 1 S = n+1 n+ 2 n=4…

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Q: Differentiate Derivative of Derivative Differentiation Outer of Inner Function Function 1. y =…

A: As you mentioned 2,3 and 4 solved

Q: Find Duf at P. f(x, y, z) = 4x'y°z?; P(1, – 2, 1); u = - 2. Duf

A: The objective of the question is evaluate the directional derivative at a given point.

Q: 4. Given function f (x,y)=e-(x° +y"), and classify them into maxima, minima and saddles. then find…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

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Q: I +1 5. h(a) at x = 1 x2 – 1 -

A: Factorize the denominator.

Q: 1 Use a limit comparison to test the convergence of |n+1 n=1

A: Given series ∑n=1∞1n+1 Recall limit comparison test