6: evaluate öz/du and öz/ðv at the given point (u, v). z = tan (x/y), x = u cos v, (u, v) = (1.3, 7/6) y = u sin v;

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes.

A: Given query is to find the area bounded by the line.

Q: etermine the area of the region bounded by the curve y = -x2 and y=x.

A: solving both the curvesy=-x2 and y=x-x2=xx2+x=0x(x+1)=0x=0,-1at x=0, y=0at x=-1, y=-1Lower limit…

Q: x*-6x³+e* Vx dx

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Q: Determine whether the lines L and L2 are parallel. L1: x= 2-3t, y = 3+ t, L2: x = 4- 12t, y= -3 +…

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Q: (csc e cot é -s cot 6 de

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Q: #4 tan lun sec x dx 4.

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Q: 10. Find the first partial derivatives of the following functions (it is not necessary to simplify).…

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Q: tan(arctan 5) = _____.

A: Since we know that tan(arctan x) = x

Q: Find an equation of the plane through (-8, –4, –5) that is 2 = t, y + 3 | perpendicular to the line…

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Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: The lower edge of a mural, 12 feet high, is 6 feet above the observer's eyes. Under the assumption…

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Q: [9] (a) and (b) Set-up and solve the definite integral to find the surface area when the curve is…

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Q: Use separation of variable or homogeneous equation to get tye general solution for each differential…

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Q: Use separation of variable or homogeneous equation to get tye general solution for each differential…

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Q: Determine whether each improper integral below converges or diverges. dx 3. S 0 x* + 2x – 3

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5…

A: Given that        y = 5 sec(x), y= 5 cos(x), 0<=x<=pi/3 ; about y=-5 Here we have to find the…

Q: (a) / 3r (3r* – 2)° dr

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 19. (+ 2x 4) dx

A: ∫ af(x)±bg(x) dx = a∫f(x) dx ± b∫g(x) dx . ∫xn dx = xn+1n+1+C

Q: 7. Find the general solution of the following differential equation: V1 + x²dy – xydx = 0.

A: Explanation of the answer is as follows

Q: 4. V21-4x-x² dx

A:

Q: 4 Simplify arctan 5 + arctan 6 (round to the nearest degree). 21° 159° 201°

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Q: 1) cos(s*)dtds

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: D = {(r, y) : 1 <Ise, 0<yS In(r)}

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Q: x(x* +y° )°(vdx – xdy)+ y°dy = 0 Ans. (x² +y³)' = 6y° In

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Q: Use the elimination method to find all solutions of the system of equations. (Order your answers…

A: By using elimination method to find all solutions of the system of equations.2x2-y2=17x2+5y2=14

Q: - 4

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Q: There are 14 children at a pirate-themed birthday party. You are going to draw four names from a hat…

A: By the knowledge of permutations and combinations we can approach this type of problems.

Q: 4. Solve the matrix equation for x and y. 2 1 5 3 -2 -2 1 x 9 5 у %3D 1 -3

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Q: ) frcos () ->]dx +: - y dx + xdy = 0 %3D

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Q: Choose the values that would complete the general solution for y = arccos (-1 ±2tk HIN O O O O 0

A: Given:     y= arccos-1

Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x) – cos (2x) 2. y =…

A: Solving question number 6

Q: (7/6 sin t dt cost 39.

A:

Q: Consider the points A(1, –3, 4), B(2, –5,2), C(-1, -4, 2), and D(2,3, –5). (a) Find the volume of…

A: We have to solve given Questions.

Q: C/4 41. (x³ + x* tan x) dx 7/4

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Q: Determine if the following statement is true or false. The lines L1 and L2 are skew. L :x = -1 + 2t,…

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Q: (16030186) QUESTION 3 Use partial fractions to calculate the fol 3x-6x-1 3.1 dx (x²+1)(x+1)(x-1)

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Q: Evaluate the iterates integrals r*dA D = {(r, y) : 1 <I< e, 0Sys In(r)}

A: Given problem:- ∫∫D x3 dA        D={(x, y) : 1≤ x≤ e, 0≤ y≤ ln(x) }

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-8, 0,…

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Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: (p? –1) cos[cosh (In r)]dr

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Here, the given vectors are P(-3,1,5), A(1,1,0) &amp; B(-2,3,-4)

Q: ) Find the directions in which the directional derivative of f (x,y) =4x2+sin (5 xy) at (1,0) has…

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Q: Find the radius of curvature of a parabola y2 – 4x = 0 at point (4, 4). A. 22.33 units B. 25.78…

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Q: 54. U.S. Citizens 65 Years and Older The number of U.S. citizens aged 65 years and older from 1900…

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Q: R Examine the discontinuity for each of the following functions. If the discontinuity it removable,…

A: The objective of the question is examined the continuity and removal discontinuous.

Q: 6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

A: Solve the following

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 2j + 2k and the vector component of v…

A: We have to find the vector component along another vector

Q: Evaluate the iterates integrals II cos(s*)dtds

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: If f(x) and g(x) = In x, then (g o f)(x) =

A: