Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v orthogonal to b. Enter the exact answers. The vector component of v along b is ). The vector component of v orthogonal to b is ).

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

A: Solution is given below:

Q: х dx е 2

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Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

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Q: x dx

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

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Q: Find the derivative. y = arctan(4 tanh(x)) y' = Need Help? Read It

A: differentiate y with respect to x. to get the results.

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

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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: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotat ab...

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Q: A dart is thrown at a number line in such a way that it always lands in the interval (0,10J. Let x r...

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Q: Explain how to convert (6.3, 3.8) from rectangular coordinates to polar coordinates.

A: Find the magnitude and angle of the point from the positive x-axis.

Q: onsider the points A(3, -3,3), B(4, –5, 1), C(-2, –-4, 1), and (6, 3, -5). -) Find the volume of the...

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Q: Characteristics of Rational Functions Determine the Horizontal Asymptote for each of the following f...

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Q: Evaluate the moment M, and My of the region bounded by x- 2y - y? and the y-axis.

A: Given area is bounded by x=2y-y2 and y-axis.  On the y-axis, x=0. We try to find the point of inters...

Q: Evalunte the Indefinite Integral by Integration by part |(x- 3)e" dx

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Q: Find the volume generated by revolving bout the line x -1 the area bounded by (y + 2) = 4(x + 2) and...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: x²dx Evaluate x2Vx2-4

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Q: Evaluate S sin? 2xdx

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Q: Solve for the projection of the vector P = (3,4, 4) onto Q = (0, -2, –5). What is the exact measure ...

A: Given, P = <3, 4, 4> and Q = <0, -2, -5>  

Q: 2. S 2x5 Vx – 2 dx

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Q: Find the area bounded by y = sin²(x) and y = sin³ (x) from< xS n.

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Q: Given the following differential equations, use an appropriate method to find for the solution.

A: Solving the differential equation by seperation of variables

Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

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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: 2. Scientists can determine the age of ancient objects by a method called Radiocarbon dating. The bo...

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Q: ITxy* dy dx x2

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Q: Instruction: Answer the following. Show all your solutions. For items 1 and 2: Given f(x)dx = 4; f(x...

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Q: Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

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Q: The base of a solid is the region in the first quadrant bounded by the graph of y = sin xand the x-a...

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Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

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Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter ...

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Q: dx Evaluate x²V4+x²

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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 ſ z2 sin z dz

A: We can find the integral in the following steps

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A: The unit vector in the direction of u is defined by: {\displaystyle \mathbf {\hat {u}} ={\frac {\ma...

Q: 19. A triangular plate with height 5 m and a base of 7 m is submerged vertically in water (whose den...

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Q: Consider 5 a8 +2 x2 +2 sin(x)–2 f(x) = %3D -28+5 x+5 Find the behaviour of f(x) as x → oo. • If lim ...

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Q: 2 (х + у)dx dy 1. 3.

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Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: "/2 cos* x dx /4 sinb x

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Q: 4. Let p and q be variables with truth-values 0 or 1. Find logical expressions of p and q that repre...

A: We have to complete the truth table and to find the following question.

Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4) ......

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Q: Evaluate f x Vx + 10 dx

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