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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Given the piecewise function defined below, determine the value of f(x)da in simplest form. -2x 3 fo...

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Q: Let R be the region bounded by the functions f (x) = -4x2 as shown in the diagram below. Find the ar...

A:   Formula for area

Q: 2 12. f (x) = (1tsinx) Cosx

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

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Q: The shaded region shown below is bounded by the functions f(x) = -3x2 +8 and g(x) = -1.5x +6 and the...

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Q: Given the function f(x) = 8+8æ", calculate the following values: f(a) = %3D %3D f(a + h) = %3D f(a +...

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3, 2...

A: Directional Derivative, Du f(x,y,z) = ∇f(x,y,z).u ; where , u is the unit vector  .

Q: Haw.y If the directionl derivative Valne ( Du f) of the function flx,4) = x-3xy +uy 4t Paint (-2,0) ...

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

A: We have to find such a vector whose magnitude is 6 in the direction of a vector u = ( 1,1 )

Q: Given vector u (2, 5) and v (1, –3), determine the value of u component form.

A: Given query is to find the indicated vector.

Q: 5 and g(x) = Let R be the region bounded by the functions f(x) = 3x? shown in the diagram below. Fin...

A: Graph of the region is given, we have to find its area

Q: ind a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3, 1).

A: Given problem:- Find a vector orthogonal to the plane containing points (3, 1, 1), (4, 0, 2), (6, 3,...

Q: 12 A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y What...

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Q: graph f(x)= x4ex Indicate the important points (local max, local min, inflection, intercepts etc)

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Q: 2. Solve dx2 d²y for x = u? + 1 and y = 3u3 – 3u in terms of the parameter u. -

A: Given query is to find indicated derivative.

Q: 10. f(x) = cos (2x)e*²-1

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Q: se differentials and the graph of f to approximate the following. (Round your answers to three decim...

A: Given problem:-

Q: 4. f(t) = V3 – 2t , find f""(t) %3D

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: ven the piecewise function defined below, determine the value of f (x)dx in simplest form. [3x? – 10...

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Q: The shaded region shown below is bounded by the functions f (x) = -4x2 + 9 and g(x) = 3x + 6, the y-...

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Q: NUTES -3x PG. 8 Problem q: y" =94iyse",y2s e3*

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Q: Find the value of x that intersect to the given equation.. 2x1 + 5x2 = 16 3x1 + x2 = 11

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Q: 4. D, (x-2)(2x +3) 5. D, (e")

A: We know that, Dx(ex) =ex Dx(xn) =nxn-1

Q: A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of...

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Q: 5-10 Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f h...

A: Maclaurin series of the function f(x) :         f(x) ≈ f(0)+f'(0)x+f''(0)x22!+f'''(0)x33!+...   Radi...

Q: Find the angle 0 between the vectors in radians and in degrees. (Round your answer for part (a) to t...

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 6 1 - x + + 3y + z = 7 2 Find the normal vec...

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) ...

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Q: Find the domain and range of the function graphed below. 5t -5 -4 -3 -2 -1 2 3 4 5 -2 -4 -5+ Domain:...

A: Given data÷

Q: Determine if the following functions are continuous on the interval I. 2 (b) f(x) = x´ – 5;I = [- 5,...

A: follow next step

Q: Suppose that the function P (x) represents the profit of a company (in dollars) when x units are pro...

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Q: Let R be the region bounded by the functions f(x) = 3x² – 11 and g(x) = 1 as shown in the diagram be...

A: Let R be the region bounded by the functions fx=3x2-11 and gx=1 as shown in the diagram below.To fin...

Q: Let f(x) (x- 2)3. a. Does f'(2) exist? b. Show that the only local extreme value of f occurs at x 2 ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Given vector u = (-6,1) and v = (-5, 6) , determine the value of 2v – 2u. Click and drag the dotted ...

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Q: h(x, y, z) = xyz, P(3, 2, 6), v =

A: We will find the directional derivative. 

Q: Assignmant Indegrat 32. 2. dx 3) d2

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Q: し y(x) ¥(0)%=3

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Q: 6. The derivative of f(r) = a" + log, r equals %3D 1. 1 (a) f'(x) = In a · a" + In a r (b) f'(x) = a...

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Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: Find the vector component of v = 2i –j+ 3k along b = 4i + 8j + 8k and the vector component of v orth...

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

A: Select a normal vector and a point then write the equation of the plane. 

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x? + y? + z? (5,...

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 8t, y = 5 -...

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Q: We now use the substitution u = x° + 8x and du = (9x° + 8) dx to convert the entire integral into on...

A: We have to solve integration 

Q: . Set up an iterated integral for the volume of the solid in the first octant bounded by the surface...

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