[5-A] [CLO 12] The line ℓ passes through the points (−3, −4) and (5, 1). Give an equation for the line ℓII , which is parallel to ℓ and passes through the point (−4, 5).

Q: For the following function, a) give the coordinates of any critical points and classify each point…

A: As per rule I need to solve only first three subparts.

Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1) Find the equation of the normal plane…

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Q: Given u = 2 – 8j and d =−8+3j, find | + ả| and || + ả Give EXACT answers. You do NOT have to…

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Q: - Find the inflection points of f(x) = 2x¹ + 10r³ — 18r² + 7. (Give your answers as a comma…

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Q: The function f(x) = - 0.625x^3 + 16.789x^2 - 102.722x + 658.154 approximates the number of…

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Q: Find the volume of the solid formed by rotating the region enclosed by y = e²x + 5, y = 2x + 5, y =…

A: The given data is: y=e2x+5y=0x=0x=0.7

Q: Draw an accurate diagram of what follows and find resulting distance to the port: A ship sails on a…

A: We have to find, the distance from the ship to the port and the bearing of the ship from the port by…

Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: Given graph:-

Q: Consider the following problem: a farmer with 650 feet of fencing wants to enclose a rectangular…

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is…

A: Given: volume = 350 in³ base material costing = 6 cents/in² front cost = 12 cents/in² remainder…

Q: 3. a) Find the limit of the sequence an = (2n²+3)(n-1) n(n² + 1)

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: As a graduation present Natalie received a sports car which she drives very fast but very smoothly.…

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Q: Let C(x) represent the cost of producing x units of a particular commodity where C(10)=1000 and…

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Q: 4. CO Σ n=0 3 4+1 51-n

A: The series is given by ∑n=0∞34n+151-n To evaluate: The value of series.

Q: Complete the parametric equations of the line through the point (-1,-8,-7) and perpendicula plane -…

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Q: Find the arc length of y = 2x³/2 on 1 ≤ x ≤ 3.

A: y=2x321≤x≤3arc length(L)=∫ab1+(dydx)2dxd dx(xn)=nxn-1

Q: The number of hits on a certain website​ (in thousands) is approximated by f(x)=30e^0.171x​, where…

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Q: Sketch the region of integration and change the order of integration. So f f(x, y)dydx

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Q: Question 16 ( Find the slope of this line. Part 2- Full solution problems. A line with positive…

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Q: Consider the function ƒ(x) = x¹ − 18x² +8, −2 ≤x≤7. This function has an absolute minimum value…

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Q: Consider the following. Find r'(t) and r"(t). r' (t) r"(t) = K= r(t) = (4t², In(t), t In(t)) = Find…

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Q: = Evaluate d5 dx5 [x³ − 3x + 1]. (a) (3x² - 3)5 (b) 0 (c) 72 (d) 6

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Q: Assume that x=​x(t) and y​=y(t). Find dx/dt, using the following information. x^2+y^2=0.73: dy/dx=-2…

A: x2+y2=0.73given dydt=-2x=-0.3y=0.8d dx(xn)=nxn-1

Q: 21. A one-sided limit can be used to determine the behaviour of a graph on either side of a 22. A…

A: Completing the given statements

Q: x(t) Find a plane containing the point (6,-4,4) and the line y(t) z(t) 3 + 3t -3+ t 6 + 3t

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Q: Consider the function f(x)= x4-98x² + 11, and an absolute maximum value equal to -6<x< 15. This…

A: Given: fx=x4-98x2+11, -6≤x≤15   Use the Power Rule: ddxxn=nxn-1

Q: h(x)=5.5x-3.42 The leading coefficient of the polynomial ​

A: We know that the leading term of polynomial is term that contain the highest power of variable.

Q: Show that the equationy/= -9y is satisfied for y = cos 30.

A: We are required to check that y=cos3θ satisfies the equation y''=-9y.

Q: Find the derivative of the function. s = 8 t

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Q: Suppose 1900 square centimeters of material is available to make a box with a square base and an…

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Q: Find the exact length of the curve y = br (ex :/) 1) + لے سلاے ахо

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Find the centroid of the triangular region cut from the third quadrant by the line x + y = -3.

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Q: Evaluate the integral. 6e6t ¹+12° +35 S- 12t dt

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Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

Q: Find the future value of the following ordinary annuity. Payments are made and interest is…

A: Given : Find the future value of the following ordinary annuity. Payments are made and interest is…

Q: If f(x) = 3x5 - 10x³ +5, on what intervals is f"(x) > 0? Enter the (disjoint) interval(s) below…

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Q: Q13 Use the limit definition of the derivative to find the derivative of the following function:…

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Q: The Sixth Gate After walking through the fifth gate, your computer informs you that more than half…

A: Given function f( t ) = 1a( 7t3 - 55t2 + 165 )40

Q: 43 x

A: given diagram of polar region

Q: A ball is thrown into the air and its position is given by h(t) = −4.5t² + 87t + 19 where h is the…

A: Application of Derivative

Q: Complete the parametric equations of the line through the points (1,8,3) and (4,-6, (t) = 1 + 3t…

A: The parametric equation for the line through (x, y, z) and (a, b, c) is: (x, y, z)+t((a, b, c)-(x,…

Q: The​ short-term demand for crude oil in Country A in 2008 can be approximated by q=f(p)=2,443,225p…

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: To sketch the region bounded by the given lines. Then to express the region's  area as an iterated…

Q: Find the distance from the point (4,-4,-5) to the line a(t) = (3, 1, − 4)t + (9,- 5,3)

A: Given equation of line:- a→t=3,1,-4t+9,-5,3

Q: Suppose that f (x, y) = x³y². The directional derivative of f (x, y) in the directional (-3, 3) and…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: We have to find the volume of the solid by rotating the region in the firs qudrant bounded by the…

Q: A vector with magnitude 4 points in a direction 340 degrees counterclockwise from the positive x…

A: let vector =V given  magnitude=V=4and direction=θ=340°now Vector V=&lt;x,y&gt;=?…

Q: Find the arc length of y = 4x + 1 on 0 ≤ x ≤ 2.

A: Recall the formula: ddxconstant=0ddxx=1∫dx=x+C