Find r'(t). r(t) = (tan(10t))i+t cos(t)j – VEk NOTE: Enter your answer in terms of i, j, and k. r'(t) =

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Q: Find V x (V x F) if F(x, y, z) = 2:xyj+ 9xyz k. V × (V × F) %|

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Q: Describe the graph of the equation. r = 2 cos t i- 10 sin t j + k O An ellipse in the plane x = 1,…

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Q: х- у 3. f(x, y, z) = y? + а. f(3, —1, 2) b. d. f(2, 2, 100) с.

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Q: Please answer all steps, thank you!!! Correctly, and make it clear

A: According to our guidelines we can solve first four question  solution:-(a) ∫02f(x)dx=Algebric…

Q: Consider the function f(t) = 6 sec (t) – 6t°. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: anUNIVE Q3) Find the integration: - (x+1)vx2+2x

A: As you have asked multiple questions so I have answered only first question as per the…

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Q: Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine…

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Q: 9. S (6eº+1)/½ eo 10. |(1 + 2x)³ dx

A: We can solve as follows

Q: 1 5. Let f(x, y) = x² 6y3 - In y ), for y > 0. af of f &²ƒ Əx' dy' Əx²' dy²' Determine the partial…

A: Given: fx,y=x216y3-lny   As we know that; The Power law: ddxxn=nxn-1 And ddxlnx=1x

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Determine the general solutions of the following differential equations. 1. (2x - xy2 - 2y + 3)dx –…

A: We can solve 1 problem only.

Q: 1) Find the first 8 terms of the recursive sequence. =-3 2,a

A: The given recursive sequence is;  an=an-1 - an-2.

Q: Problem 2: Given a function 4x-1 f(x) = 2x +1 Use tabular method to determine if the limit of a…

A: we make chart of the values of x and the value of f(x) to see trend toward the limit…

Q: (-5 S + (0.9)" | lim

A: Given query is to find the value of the indicated expression.

Q: Problem 3: Given a function 4 - x2 g(x) = 3 - Vx2 + 5 Page 1 of 3 Use analytical method to determine…

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Q: Substitute the values of f(x), a, and b in the Integral from the previous step, and find the average…

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Q: x + 2y = 1 , x – 2y = 8 . Credit will be given for use of the method, and not for the so y =-7/4.

A: We will solve using cramers rule.

Q: Find the second order Taylor expansion of [15] f(x,y) = (1 +4x2 +y2)1/2 about the point (1,2) and…

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x =…

A: Our Aim is to find the "area under curve"of f(x)=2x+3 between x=11 and x=13using the Fundamental…

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Q: FiNd the volumes OF the solids gewerated by revolving +he regions bounded by the graphs oF the…

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Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

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Q: ||r(t) × r"(t)|| ||r(t)||³ Use the formula k(t) = to find k(t). r(t) = 4 cos(7t)i + 4 sin(7t)j + 3tk…

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Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let rr…

A: Given ,  A cylinder (round can) has a circular base and a circular top with vertical sides in…

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A: We have to solve the above integral

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Q: If z = 52? – 3y? + 4y, find the differential dz. You should have variables dz, dy, y, and z in your…

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Q: 5x3+4x2-5 dx

A: Use power rule integration technique

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Q: S (1/(X(Im)*) dx X(Inx)

A: LetI=∫1xlnx2dxLet u=ln(x)differentiate 1xdx=duI=∫1xlnx2dx.I=∫1u2du.I=∫u-2duUse power…

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Q: C- prove that 1-+-- Find Maclaurin series of tan-(x). Hence

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