Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answers in terms of i,j and k. 11 = u =

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k² = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: A local Chocolate Factory produces 3 varieties of Chocolate A, B & C. Ron bought a chocolate of each...

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Q: Activity 2: Determine the absolute extrema of the function f(x) = x - 12x on [0, 4]. %3D Show comple...

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Q: 2 2 cos 0 d0 V1 – sin 0

A: Given:        ∫0π2cosθ1-sinθdθ substitute u=1-sinθ→dudθ=-cosθ→dθ=-1cosθdθ      =∫10-1udu       =-∫01...

Q: (a) Form a partial differential equation by eliminating the arbitrary functions f and g from z = yf(...

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Q: H-wr Phavethat D2 22=o far the funstions far the kunction -2y t- Rx,y) = e Ln JxZ+yZ CooS 2X

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

A: Basic identities of derivative are used.

Q: ( 2x + y -3z = 0 -2x + 2y + z = -7 3x - 4y-3z %3D %3D 7

A: We have to solve the system of linear equations.

Q: Use the given graph of f over the interval (0, 6) to find the following. 1- 1 (a) The open intervals...

A: given :-  graph of f over the interval (0,6)  To see the interval where f is increasing.

Q: 17. Find the cartesian equation of the parametric curvex =1+e²*, y= e'. (a) z² = y? – 1 (b) 7 = x² –...

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Q: х? + ах — 2bx — 2ab — х3 —2ax* — 2bx? dx х4 + ах3 — 2bx3 — 2abx? |

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Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

Q: 5. A ladder 20 ft long leans against a vertical building. If the top of the ladder slides down at a ...

A: Given query is to find the speed at which bottom of the ladder is sliding.

Q: -3 (x + y)dx dy

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Q: Tutorial Exercise The radius of a right circular cone increasing at a rate of 1.9 in/s while its hei...

A: Let's find.

Q: Activity 1. What's My Extrema? Identify the extrema (both minimum and maximum) of the given graphs b...

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Q: V- 2 dx +1)

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Q: For a week, a clothing company tracks the amounts spent by its customers, with the results shown to ...

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Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point (3,2V3).

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Q: 1. From the graph, determine the function f (x) is continuous at x = -1. f(x) 3 %3D %3D -5 -4 -3 1 -...

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Q: | In|Vi + 1| dx

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Q: Find the arc length function for the curve y = sin+(x) + V1- x² with starting point (0, 1). s(x) =

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Q: Evaluate the integral. dx NOTE: Enter the nllu simplified ansuner tuith nn fractioma

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: Find the area of the parallelogram that has u = i - 2j + k and v = 3j + k as adjacent sides. NOTE: E...

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Q: y = 6+4 Vx csc x

A: Topic = Derivative

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identify the u and find 4 sec?x dx

A: Please refer to the image below 

Q: Find S x² sin x dx

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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: Find the standard form of the equation of the ellipse and give the location of its foci Type the sta...

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Q: Find the critical points and the intervals on which the function S(x) = x* – 7x2, (x > 0) is increas...

A: f(x)=x4-7x3/2 Differentiating with respect to x f'(x)=ddx(x4-7x3/2)=ddx(x4)-7ddx(x3/2)=4x4-1-7*32x3/...

Q: Activity 1: Use the Rules of Differentiation to differentiate the following functions: a. f(x) = 2x³...

A: We can solve subpart a,c& e as below.

Q: Use the given graph of f over the interval (0, 6) to find the following. y -1 1 (a) The open interva...

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Q: Find the length of the arc of the curve 9y2 = 4x³ from the origin to the point (4, ). %3D

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Q: Find S z? sin z dz

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y2 = 4(x² – ...

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Q: ха + 3bx? + 4ах? + x? — 2ах — 2ab + bx dx х4 — 2ах3 + bх3 — 2abx?

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Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of ...

A: Our Aim is to find the standrad form of the eliipse satisfying the given conditions:-Endpoints of th...

Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +...

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Q: Solar Panel Power Output The graph of the function f shown in the accompanying figure gives the aver...

A: To answer the given equations using the graph.

Q: For each differential equation, indicate the order (as a number) and whether the equation is linear ...

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Q: Evaluate the following limits. 1. lim (1+ Vw)(2 – w² + 3w*)

A: According to our company rules we can answer only the first question and rest can be reposted.

Q: (y- 2xy +6x ) dx-(x – 2xy + 2) dy = 0

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Q: The domain of f(x) = V4 – x² is –

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Q: Find an equation of the plane tangent to the graph of g(r, y) = 3ev²-z² at the point where (x, y) = ...

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Q: dy If y = In V4x² + 5x_then dx

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Q: . Determine an equation of the line of intersection of the planes 2r - y + 3z = -1 and x+ 4y – z = 2

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Q: Find all critical values for the function f(x) = 10x – 30x + 5, and then list them (separated by com...

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Q: Evaluate: S,(3y6 + 8y* – 9y²)dy 4 -

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Q: pload answer sheets Find the Laplace transformation of H(t-4)e“-4)

A: Solution is given below: