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Q: Given u(t) = (e',e-t). a) Find: (i) u'(t) (ii) u"(t) b) Find the unit tangent

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Q: For what Vatuer of the Constant (k) that the funetion fayt=x'+kxy+y will have a Saddte Point b-1ocal…

A: Given

Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: 4. Find the solution to the equation below to the nearest degree. 3 sin? (x) – 2 = 0 55 -1 1 -55

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Q: w3sec?xdx – (1 – 2w²tanx)dw = 0

A: Let's find.

Q: Find the domain of this 2-variable function and sketch it (shade it in): f (x, y) = V1– x² – y2 y 1…

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Q: Approximate / 1+r² dr using four rectangles and the left endpoint method (L4).

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Solution is here

Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

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Q: V3 - 2s ds 02 40

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the following planes. 3x + 2y - z = 42 x - 4y + 2z = 0 (a) Find the angle between the two…

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Q: Find the points on the curve r = 1– sin 0 - where the tangent line is horizontal or vertical.

A: To find out the points on the given curve, where the tangent line is horizontal or vertical.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), –8) v =…

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Q: 4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given…

A: Given problem:- Show that the line  given by   l : x = 2 + 3t , y = 1 + 4t , z=5+2t ,t in R   lies…

Q: 2. y = loga(x³ + 2x – 2) 3. y = In³(x + sin x) %3D

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Q: 3- Evaluate the integrals: Lia - 1. x(x - 3) dx 2. 2x + 3) dx 3. 3. 4. 299 dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Given that the plane contains the y-axis and makes an angle of pi/2 with the positive x-axis. Here…

Q: 3. Determine the values of a, b, and c such that the functior f(x) =x² +ax² + bx+c has a y-intercept…

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Q: How do you take the integral of 2 * sqrt((t^2 + 1)) ? Can you label notes on each step? I can't see…

A: We will solve this question using integration by parts.

Q: 2. f(x,y) = ye3x²+4y³

A: Given query is to find the fist order partial derivative.

Q: Given (x,y)=4xy−x4 −y4 −3 Find the relative maximum, relative minimum. and the saddle point of f (if…

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Q: Seax sin bx dx

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Q: Solve the ff first order DE using integration method, by substitution, or bernoulli's equation. show…

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Q: Determine if the given function is continuous on the given interval a. [2,5) , x <O f(x) = %3D 5x-8…

A: To determine whether the given function is continuous on the given interval.Interval=[2, 5)fx=1x,…

Q: 4. 1 8-x² 8-X2

A: See the details solution in below

Q: of

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Q: How does (2cos(theta))2 + (-2sin(theta))2 equal 4?

A: 2cosθ2+-2sinθ2=4cos2θ+4sin2θNext step:-

Q: (sin x + cos x)dx sin² x sin 2x sec x dx sin 2x dx 2 sin x cos² x

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Q: Given vectors a = (1,2),5= 2,-1), find 4a-35. (-2,-11) (2,-11) (-2,11) (2,11)

A: Given vectors are:- Vector a =&lt;1,2&gt; vector b =&lt;2,-1&gt; Find :- 4a-3b

Q: dy S4ト9-とト」

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). v = (0, 24) V = a = b =

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Q: Learning Task 1: For the given functions f(x) and g(x), find ( ° g)(x) 1. f(x) = x² and g(x) = x + 5…

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Q: Given f''(T) 9 sin(3r) and f'(0) 6 and f(0) = 3. Find f 2.

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

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

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Q: A plane traveling with a velocity measured in meters per second, is described by vector a = (-6,5) .…

A: Let's find.

Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: V = 75(1.2)', where V is in dollars and t is the number of years since 1975. Find the rate, in…

A: The value of a particular rocking chair is well approximated by V=751.2t

Q: solve the bernoulli equation dx +1x' + = 0 +tx dt

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Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: f(x) = / sinx cos x

A: The objective is to flnd the derivative and slmpify.

Q: a) y=(x+2)/x^2 - 1) b) y= ((x^2 - 1)(x+2))/ x-3 find the x and y intercept, symmetry,…

A: Given :a) y=(x+2)(x2-1) b) y=(x2-1)(x+2)(x-3)To find : The x and y intercept, symmetry,…

Q: Find the radius and height of the right circular cylinder of largest volume that can be inscribed in…

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Q: y Find the equation of tangent line to the curve y'+ln =1 at the point ,2 (1, 1).

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Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -175 feet per…

A: see below the answer and calculation

Q: Consider the following planes. Sx+ 6y -2= 66 x- 12y + 22 0 (a) Find the angle between the two…

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Q: (b) Given -3x + P for x7 Determine the value of p if f(x) is continuous at x=7. TEST DMI123

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