Find the equation of a plane that is perpendicular to the vector – i+ 2j+ 2k and passing through the point (-2, 5, –2). The plane is given by:

Q: 1-r 1 can deduce, by applying the formula at r = -9, that 10" -1/8 1-9 Select one: O True O False

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Q: 2. Determine a•5 for each of the following a) å = (7, -3,5)andb = (-5,11, -2) 3. Determine the angle…

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Q: Assuming annual compounding, find how long it would take for the general level of prices to double…

A: Given query is to find the time taken to double the amount.

Q: VII. Use Lagrange Multipliers to solve the following: Maximize f(x, Y, z) = 4x + 2y + z %3D subject…

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Q: f'(x)= -+e²* +x°and f (1) = Find f(x) Given 5.

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Q: The limit lim (x In( cos x-00 is an indeterminate form of type 0 0o. Select one: True False

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Q: Σ Preview i=1

A: We will use sigma notation.

Q: Q.4) The Wronskian W(e~2", e",e²), is: a) 12e b) –12e c) 6e² d) -6e"

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Q: What number is in the tenths place - 7.2431?

A: Given Number                           7.2431

Q: Use the graph of F, shown on the right, to find the given limit. When necessary, state that the…

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Q: Use implicit differentiation to find the equation of the tangent line to the curve xy + xy : (8, 1).…

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Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: The limit lim (x - cos) x00 is an indeterminate form of type 0 . o. Select one: OTrue O False

A: Topic:  Indeterminate form of limit

Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: Use derivative and unit tangent formula for finding it.

Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° a = 10 m

A: Given:∠A=48°a=10b=12

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: A norman window has the total perimeter 8 feet.

Q: Suppose that a cylindrical can is designed to have a radius of 1 in. and a height of 5 in b the…

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: topic- limits

Q: Jse the functions below to (a) express as a function of t, both by using the Chain Rule and by…

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Q: A factory sells a particular product at a price of (200.01x) in peso per unit. The variable cost per…

A: Concept: Maximum value: To find the maximum value of a function using first and second derivatives,…

Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: A power representation of the function f(r) = for -1 <a<1 is 1+ %3D

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Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: 2. Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB.

A: ProjBA=B⇀.A⇀A⇀

Q: 15 lbs 200 27° 12 lbs What is the approximate magnitude of the resultant.force? A 22.2 pounds. 24.8…

A: using component

Q: For each function, determine the long run behavior x2 + 1 has Select an answer x2 + 2 x3 + 1 has…

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Q: 4. f(t) = teatcosbt

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Q: Find each function value and limit. Use -∞ or co where appropriate. 7x* - 14x2 f(x) = 8x° +4 (A) f(-…

A: topic- functions and limits

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = –3 %3D %3D 3. lim f(x) = -2, 4. lim f(x) =…

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Q: 2. The demand and supply equations for a commodity are given below p = 245 – 5x Demand equation p =…

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Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) &amp; inclination θ=60To find equation of tangent:

Q: dy given the dx Use implicit differentiation to determine equation x? + y² = 4. dy dx

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Q: dy if y =t! and t=Vx Fin d

A: Let's find.

Q: 9. Find the vertical and horizontal asymptotes of the function. X-8 f(x): х2 — х — 6

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Q: Consider the function f(x) = The value of f'(0) is: (x+ 1)2

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Q: Find the center and radius of the sphere. 2 2 5x + 5y + 5z + x +y +z = 16 Center = (OOD. radius = 4…

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Q: For the following exercises, evaluate the integral. S(wew + w²ew*)dw 5.

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Q: 3) y"+2y'-8y 0, y(0) = 1, y'(0) = 8.

A: Given:y''+2y'-8y=0y(0)=1 y'(0)=8

Q: Given the function f(x) = -xr* – 4x determine its critical points and classify them, determine the…

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Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a cos 20 and 5t, where a is…

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Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

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Q: Determine the area of intersection of the regions limited by the graphs of the equations: r= 3sin2∅,…

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Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

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Q: Differentiate the function. t(t? + 1)4 n 8t – 1 g(t) = In %3D

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Q: dx (9 – 4.x²)³/2 2,3/2

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Q: Exercise 4. Calculate the convergence set of the following is not enough, a justification is also…

A: Given

Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

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Q: 2 2 y-3y 2+y =1+2x°

A: The solution is given in the next step.