Evaluate | F • dr where F (0, y, – 4x), and C' is given by - F(t) = (t, sin(t), cos(t)), 0

Q: A point has rectangular coordinates (3, - 8). Convert to polar coordinates, with r 0 and 0<0< 27. (r...

A: let (x,y)=(3,-8)  

Q: A dice is thrown What is the probability of getting 1- Get number 1 2- Get the number 4 3- Get an ev...

A: A dice is thrown. We have to find the probability of getting: the number 1 the number 4 an even num...

Q: ORDER DEGREE LINEAR OR NON- LINEAR x*y" + xy" = e* (y')? – 3yy' + xy = 0 d2 ds t dt t2 = 1- sint dt?...

A: See the details solution in below

Q: Solve for the orthogonal tragectories y²= 4x (1- kx) %3D

A: This question is based on differential equation.

Q: Solve using method of undetermined coefficients (D²- 2D+2)y 24 e s in 3X %3D

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Q: 9. Two chicken coops are to be built adjacent to one another using 120ft. of fencing (sce the pictur...

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Q: Jse the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 20,000 -225p E...

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Q: Find the exact length of the curve. y = (2/3)(1 + x2)3⁄2,      0 ≤ x ≤ 2

A: Given: - The curve is, y=23(1+x2)32,  over the interval, 0≤x≤2 To find: - The exact length of the cu...

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end ...

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Q: sec? x 2. csc2 x = sec2 x-1

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Q: of Find the degree, leading coefficients, and the maximum polynomial. f(x) = 1 - a° + 2a° + 48 Degre...

A: Topic  = Polynomial

Q: 1. A Ferris wheel with diameter 110 metres rotates at a constant speed. The lowest point on the whee...

A: Q1

Q: A triangle has been drawn on the unit grid. Which is the area of the triangle?

A: Find area of triangle ?

Q: Show complete and detailed solution of the differential equations 1. x(dy/dx)+(1+x)y=e-xsin2x

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: C = f(2, %3D ere is the amount of drug given (in mg) and t is the tirne since the injection (in hour...

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Q: 4. For the function z = e cos(y) find the equation of a. The tangent plane to the given surface at p...

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Q: Evaluate sin'y cosy dy. 2

A: This is a integration problem

Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

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Q: One leg of a right triangle is 7 cm shorter than the other leg. How long should the shorter leg be t...

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Q: dy 2. x + ( 1+x)y e -Xsin2x dx

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Q: Verify: cos? x tan? x-1 1. = -1 %3D cos2 x

A: To verify: cos2xtan2x-1cos2x=-1

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We need to find the differential equation of the family of the plane curves described below: Family ...

Q: Use any method to determine whether the series converge. (a) E 9k The series

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

Q: x*+3x-4 4. lim X4 x+6x2+12x+16

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: For the given double integral, sketch the region of integration and reverse the order of integration...

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Q: a hemisphere of radius 12 inches and base up is full of water that runs out through an orifice of ar...

A: Solution of the problem is follows

Q: Lesson 4 1. Given the function f(x) = 3-x, graph and find lim f(x) a. b. lim f(x) c. lim f(x)

A: Topic = Function As per guidelines, At a time only one question can be answered out of different mul...

Q: dx =(x²yeº- 3xy²) dy |

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Q: Find the diffetential equation of the family of plane curves described, Draw at least three members ...

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATIONS. 1. siny dx + (x - sin? y)dy=0

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Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: Tr(x)dx = xf="(x) x(f=\Y{x)dx.

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Q: 2 2. x = k +ct y = c²t²

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Q: lim g(x) =, lim g(x) ; lim g(x) 1. -1- 34 2. g(-1) = 2- 3. lim g(x) = lim g(x) = ;lim g(x) = x0- 1. ...

A: Topic = Limits

Q: 一名 ース 1-X

A: We can find the integration as below

Q: E valuate the improper integral Sma Xe* de Ina

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Q: Show that the limit xłycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: Use integration by parts to evaluate the integral:

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Q: Evaluate, with the order of integration being reversed, an equivalent integral of the following inte...

A: Consider I is the value of double Integration.

Q: 20. The fourth derivative of y = Jx-1 is 15 В. - 16 8 D. - (x-1) 16 A. (x-1) C. - 8

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Q: 1. lim x +2x2 + 3x +7 X-3 2. lim (7-8x) (9x-11) x+2 3. lim 3x2 - Vã + 4x + 27 X-8

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find all intersections of the curve y = 10 - x and y = x + 8.

A: To find intersection point of the curves.

Q: - ydx + (x ++ y )dy 0

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Q: the plane according to the equations x = t² + 2t and y = 2t³ – 6t. Find dy/dx c. 3 d. 4

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Q: g (x) = -2x3 Vx²+1

A: Topic = Functions

Q: Operations on Functions Using Tables of Values Use the tables for f(x) and g(x) to evaluate the expr...

A: I am attaching image so that you understand each and every step.

Q: 13.

A: y=tsint1+t

Q: Show that the limit x?ycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

A: