Find the unit tangent vector to the curve at the specified value of the parameter. r(t) : = 6ti – In(t)j, t = e T(e) = %3D

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A: answer is in next step

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Q: Find curl (6z i + 7x j + 8y k). curl(6z i + 7x j + 8y k) = ( i )i + ( i )j + ( i )k

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Q: 2 _9 ii)lim- t-3 t2+4

A: Given query is to find the limit of the expression.

Q: the

A: We will find the derivative.

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A: Here, the region is bounded by the curves: x=4, y2=x

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A: The given problem is solved below in detail.

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A: maxima minima

Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

Q: Find curl (8z i + 9xj+4y k). curl(8z i + 9x j + 4y k) = ( i )i + ( i j+( i )k

A: topic- curl of a vector

Q: i(x) = 2-0.8(x-43.79)

A: Given query is to find the derivative of the expression.

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Q: (9, -7) (3, 1). Find 吕 ロ师仁 ?

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Q: 1) lim x100+500 ex

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Calculate x sin(y)dxdy

A: On solving this we will get

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Q: n-1 1. b) Determine whether the series is convergent or divergent. If it's convergent, 4" n=1 find…

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Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t-0. Q…

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Q: Help Homer design a cylindrical silo to hold the output from his pet pig Harry Plopper. The silo…

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Q: ах 2xy 2.xy +3y x +2xy dy dx

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Q: 10 Find div F and curl F if F(x, y, z) = xz°i+ 5y"x²j+ 4z?yk. div F= curl F=

A: Solution:

Q: Find the derivative of the vector function r(t) = ta x (b+tc), where (5,-4, 1), b = {(-4, –3,1), and…

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Q: Tabular representations for the functions f, g, and h are given below. Write g(x) and h(x) as…

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Q: Find V · (F × G), if F(x,y, z) = 3xi+j+7yk and G(x, y, z) = xi+ yj – zk. V• (F × G) =

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Q: n° 3. Determine whether the sequence a, - converges or diverges. If it n – 2n° converges, find the…

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A: To Find: Directional derivative

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A: Here the given function is: y=(3x+2sin(x))4

Q: Find div F and curl F if F(x, y, z) = 3e"Y i – 6 cos yj+ 10 sin? z k. div F= curl F=

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Q: around the boundary of the parallelogram in the following figure (note the orientation (X9.Y), (2.0,…

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Q: Hello, complete the attached Calculus question correctly and show all your work. Please use the…

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Q: E(-1)n+1_2 Vn n=1

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Q: Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the…

A: We need to set up and evaluate integral.

Q: Find div F and curl F if F(x, y, z) = 13y*z'i – 11a'2®j – 5xy*k. div F= curl F=

A: We can solve as follows

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 3…

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Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

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Q: Find curl (4z i + 5x j + 3y k). Exact number, no tolerance. curl (4z i + 5x j+ 3y k) = (i )i + ( )j…

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Q: 7-18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7.…

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