4 f (x) = x + 2

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: 4 1 4. |x2ydxdy 2 0

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Q: (i) y= 3e –e**2 +2 sin (x² +1)

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Q: Determine whether the planes are parallel, orthogonal, or neither. бх — 5y + z %3D4 x + 2y + 4z = 1…

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Q: 3. Given that f (x) = determine %3D a) f'(x) b) f"(x)

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Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: Hwes You are to construct an ofen rectangulaK box from 2 t? of material what dimensionswi4 resultin…

A: g

Q: Solve the differential equation: dx+(x-y+2)^2dy=0

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Q: Suppose the following graph represents the number of bacteria in a culture t hours after the start…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

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Q: III. SOLVE THE FOLLOWING INDETERMINATE FORMS e* +e* – x? – 2 1) Lim sin? x - x? 12+ x? 2) Lim X 00 X

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Q: 1 for convergence, you can use the P-test. (You could also use the To test the series k3 k=1…

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Q: 12x3 Find the power series for f(x) = in the form an. (1- x*) n=1 3 Hint: First, find the power…

A: Here we have to find the power series for            f(x) = 12x3/(1-x4)2

Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6. 910 53…

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Q: (х- 4y - 3) dx -(х-бу— 5) dy %3D о ans. (x - 2y - 1)? %3D с (х-Зу- 2)

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

A: Vector lies in the same plane if their scalar triple product is zero

Q: SxVx + 1dx = -(x+ 1) +(x + 1) +c

A: This question is based on indefinite integral.

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 3y + z = 4 x + 4y + 3z = 1 O…

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Q: 1と 8t y=x?+4 ソニx? ー4 4

A: The region is bounded by the curves y=x2+4 and y=x2 from x=-4 to x=4revolved about x-axis

Q: Find the volume of the solid generated by revolving the region bounded by x2/3 + 1,0 < < 8, about…

A: Follow next step

Q: Perform each using the polar form of z. 1+iv3 2. (1+1)2 4.(1 – i)?(1+iv3) Final answer should be…

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Q: Find parametricequations of the line that satisfies the stated conditions. The line through (8, 5)…

A: The vector equation of line L, passing through the point x0,y0 and parallel to the vector b=li+mj is…

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane given…

A: Given

Q: Y = 2 Arccos ( 1 -) + v4x – x²

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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:

Q: d Use the table below to find [g(x) – f(x)]| dx |x=2 1 2 4 f'(x) gʻ(x) 4 1 2 1 2 4 d [g(x) – f(x)1]…

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Q: dx + (x — у + 4)?dy %3D 0 ||

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Q: 2. y' + xy = xy

A: Find your answer below

Q: 1. The hiking trail starts at the foot of a steep hill that follows a trajectory described by the…

A: Find your answer below

Q: 6. Use parametric differentiation to find if x= 212 +2, y=t* -7 dx Solution:

A:

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

A: a) u=2,-2,2, v=3,0,-2, w=5,-2,0u.v×w=2-2230-25-20u.v×w=2(10)+2(-4-6)u.v×w=20-20u.v×w=0Since ther…

Q: 1. Two sides of a triangle are 15 and 20 ft long, respectively. a) How fast is the third side…

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Q: Find the length of the arc of the given parabola: x²=4y from x=-2 to x=2

A: We know that the length of the arc of the parabola y=f(x) from x=a to x=b is given by L = ∫ab1+dydx2…

Q: Prove the following. (b) lim( Vn² +1 – n ") = 0 - (c) lim Vn? n) = } 1 2 ||

A: Prove the following limits

Q: 4)Given f(x) = 2x/(x2 + 1) a)Find the derivative. b)Find the critical numbers .

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Q: y' + = 2x/y;;y(0) = 2 3. + 3x²y = 6x²; y(1) = -2 dx 4.

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Q: Imagine that the number line shown below is balanced on a fulcrum at the point x = 0. Two points are…

A: Here, given weight are W1=250, W2=400,W3=2133.33 Here, d1=4, d2=5.5 are the respective distances of…

Q: Find the volume of the solid of revolution formed when the area of the region bounded by y3Dx2,…

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Q: Find the slope of the tangent line to the polar rer = 1/0 at 0 = T.

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Q: Find parametric equations for the line whose vector equation is given (а) (г, у) — (6, —5) + t(1,…

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Q: A car's movement is represented by the function 2x3 + 6x2 + 2x + 3 in kilometers reco at an hourly…

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Q: complete and detailed using techniques of variation

A: Given,            ∫dy1+y+13

Q: (c) Find parametric equations to represent the red line in the graph below. 10 (-2, 7) (6, 3) -5 10…

A: This is a problem related to equation of line. Based on the general formula of line equation we will…

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

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Q: Find minima, bmakima and Sndtle pointr for the funetionss fex,y)=4x 6xy+ 5y- 20 x +2by…

A: a) If df/dx=0 , d2f/dx2&lt;0 at x=a then fx attains maxima and maxima  value is f(a) . b)   If…

Q: Consider the following. u = (5, 0, -9), v = (8, 7, 3) (a) Find the projection of u onto v. (b) Find…

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Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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Q: Find y'. Given: y = -sin(4x)cot(4x) %3D

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Q: A fencing is limited to 120ft length. What is the maximum rectangular area that can be fenced in…

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Q: S2(x* +1)e** dx . -5x t³ -9 -dt . 2t +3

A: