За - 2 lim x3 - 1 O 2 O does not exist 13 8.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given equation passing through the points (5 , -3, -2)  and  -23 , 23 ,1

Q: [-7, 1] The average value of cos (2z)e1-sin(2z) on is

A: The average value of the function f(z) on the interval a, b is  1b-a∫abf(z) dz.

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A: Please see the answer below.

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Find the values of constants a and b that make f continuous on (-o0, +o0) where 2x +1 if a 5 f(x) =…

A: Use definition of continuous function and find the value of a and b

Q: Find the area of the region enclosed by the rose r = 10 cos 30. NOTE: Enter the ezact answer. A =

A: Here, the polar curve is r=10 cos 3θ which is as shown:

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

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Q: 1. For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates…

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Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

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Q: I. Read carefully the statements below. Write TRUE If the statement is always correct, otherwise,…

A: Given

Q: 2. The amount of protein in the bloodstream (mg/L) is given below for 30 patients: 1.4 1.8 1.8 1.9…

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Q: p v (~ q ^ r)

A: Follow the given table below.

Q: biscee HOM VIT MOBKI (-) = (x)f %3D (x? – 7x+13) for 8. Identify any asymptotes, extrema, points of…

A: Given that the function is       f(x) = (x2-7x+13)/(x-4)

Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

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Q: The elasticity of a polymer is affected by the concentration of a reactant. When low concentration…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan Y. (4, 0,…

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Q: Below is a sketch of the graph of J.

A: we say at x=a limit exist if the both right and left side limit exits and equal at x=a

Q: Find the deri votive e

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Q: Determine which value best approximates the surface area of z = f(x, y) over the region R. (Make…

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Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z² = 26, (1,…

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Q: Solve the following differential equations of (2x* +y)dx+(x'y-x)dy = 0

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Solve the following differential equations of (3x'y+ 2xy + y' )dx +(x' +y°)dy =0

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given: fx,y=x2+y2 The constraint equation is: gx,y=x+2y-20

Q: The order and degree of the following equation is dy y = px – Va?p² – b²,where p = dx

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

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

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Q: Find the second derivative of .2 y = Vx² + x-3 O 6/x^2 O 12/x^3 O 6/x O 12/x^5

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Q: Knowing that harmonic series is divergent, which of the following series is also divergent by Limit…

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Q: Express the given equation in polar coordinates. 144xy = 121 121 p² sin? 0 = 144 121 ? cos 0 sin 0 =…

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Q: Write each symbolic statement as an English sentence. p: Taylor Swift is a singer. q: Taylor Swift…

A: Following are some common logical connectives: ∨   -   Disjunction (or) ∧   -   Conjunction (and) →…

Q: x2 Find a power series representation for f(x) = 1+ x3* By differentiating the power series obtained…

A: ,

Q: dy (2xy + x²) = 3y² + 2xy dx %3D Choose... Choose... Homogeneous Differential Equation Differential…

A: From the given differential equation find the type of differential equation

Q: Solve the differential equation dy ; y(0) = –1. %3D da Vx³ +1 There is no need to isolate y.

A: We know, ∫xndx=xn+1n+1+C , C is a constant and n is any real number.

Q: Find the Cartesian coordinates of the point (−√2,(5π)/4)

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Q: The series 2 1 is convergent. n =1 n(2) Select one: O True O False

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Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y+z=2 and…

A: General equation of plane is taken and given planes are used.

Q: (r+)) (r-3) Gruen ( 3n2 find ŕ> which makes the power of x equal to 5 and find the of 2° coefficiend

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Q: Find the area of the region enclosed by the rose r = 2 cos 30. NOTE: Enter the exact answer. A ||

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Q: A barge is being pulled by two tugboats that are 118 feet apart, as illustrated. Find the angle…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: Let gy be continuous and nonnegative, then, the volume of the solid of revolution formed by…

Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1

Q: Find u · v, u· u, ||v||², (u · v)v, and u · (3v). u = (3, -2, 5), v = (0, 7, 4) (a) u. v (b) u.u (c)…

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

Q: The polynomial of degree 4, P(x)P(x) has a root of multiplicity 2 at x=4x=4 and roots of…

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Q: Simplify arccot(). 3 3

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Q: Find the solutions of the system of inequalities by graphing: 2x – y 0

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Q: 18. What is the equation of the curve that passes through (1, 3) , if its slope is given by dy at…

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