Example Evaluate the triangle fxy dy- y? dx around the square cat from the first quadrant by the lines x 1, y=1 H. W

Q: y Suppose that ARST is an isosceles triangle, with RS = RT. State an equation that relates s, t, and…

A: Given that △RST is an isosceles triangle, with RS¯≅RT¯.

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is dx

A: let the function is f  first differentiate function f with respect of x df/dx then differentiate…

Q: QUESTION 3 dy = 2x+1. dx a) Find y at point (2,2), if

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Q: Ifx= cost, y sin t, find the point corresponding to t= /4, A B D. (1, 1)

A: Put the value get the answer

Q: du formula Answer u 31x +C ⒤갓⒤뀐⒤뀐⒤ ? 3/x e- SA dx ? ?

A: We will solve the integral.

Q: Given y3 – xy2 – x²y=2. Then, at the point (1,2), dy -is Blank 1 dx Blank 1 Add your answer

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Q: 1. fCx)=メ?+6スープ (a) upward or downward? (6) axis f symmetry: x= le) verter C

A: Topic = Quadratic equation As per guidelines , at a time only three sub-parts can be answered.   If…

Q: In parallelogram DEFG, what is the EY? 5х - 5 4х- 3 E Зх + 9 F X = EY =

A: Given a parallelogram DEFG such that  DE=5x-5 and GF=3x+9

Q: 32? +2xy+ 3 yz + 4xz >0 frove ît full frame form ?? O D

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Q: Part 1 of 5 To find dy = y' for 9x3 + x²y – xy³ = 1, we differentiate both sides of the equation…

A: Answer is 0 Explanation is given below..

Q: Find if y = In (9x² + 8y). dy dx

A: Solution is given below

Q: Sin JxCosx dx =? (e() b) fx'e dx=?

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

Q: A particle traveling in a straight line with constant velocity i + j - 5k passes through the point…

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Q: dx Find the value of a so that %3D 1-x2

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: A function is instantaneous rate of change being constant is a linear function. A linear function…

Q: Example 10: Find the perimeter ofAABC. AB, BC ,CDand DA are tangents. A E 12 cm 3 сm F H 4 cm 9 cm C

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Q: Find dy/dx and simply the result

A: We need to find derivative.

Q: Transform triangle ABC according to (x, y) → (x + 3, y – 2). Write the coordinates for triangle…

A: The triangle ABC has tranformed into (x,y)→x+3, y-2

Q: d. csc h u = – csc h u.coth u. dx du dx

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Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is dx Blank 1

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Q: Solve Hhe following by Separcting initial vallue 2006lems g the Variables 1 %3D %3D dx

A: Variable separable differential equation

Q: A D 3. Classify the triangle by its sides. obtuse triangle isosceles triangle equilateral triangle…

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Q: 52. -4x (x + 8)-, y(0) = 0 dx

A: 52) to solve the given differential equation Use variable separable method

Q: az over the contour C |z = 4.5 sin z (b) Сompute

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Q: Evaluate fe (17 + x³)dx where C is the line segment from (-2, –1) to (0, 1) followed by the right…

A: The equation of the path AB is: x-1+y1=1y=x+1 The line integral of the path AB is:…

Q: Is AB a tangent to OC? A 5. C 15- Your answer: Yes, AB is a tangent. nt No, AB is not a tangent. 14

A: We have to find tangent

Q: So Si eu dydx ey? ing change of coordinates. ○ 등 O e-1 글(e-1)

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Q: 13. B(2, 6) C(8,3) A(-5, -1) Dx, y) Find the coordinates of the point D

A: We know that  If (x1,y1) and (x2,y2) are two given coordinates and we have to find midpoint of the…

Q: y4 – 2xy) dx + 3x²dy= 0

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Q: x =. السؤال الاول: جد باستخدام التحويل rcos(0)= , )0)rsiny = = التكامل e-(7x²+3y*) dxdy

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Q: r (n): u*- 'e*dx %3D ulgn

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Evaluate eリ+1 dA D where D is the triangle with vertices (0,0), (-1, 3), and (6, 2).

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Q: $ x4* dx + 2x*y dy where C is the triangle wl vertices (0,0), (3=), and (2, 4) i ?

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Q: A(2, 0) and B(0, 7) are points on the x- and y-axes, respectively. Find the coordinates of point…

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Q: Eхample : Evaluate the triangle fxy dy - y? dx around the square cat from the first quadrant by the…

A: Given problem is :

Q: Evaluate fe (43+ x³)dx where C is the line segment from (-2, –1) to (0, 1) followed by the right…

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Q: If u=e*? then du= ... %3D dx 2xe* dx 2x 2xe*

A: The chain rule states that ddxfgx=f'gxg'x.

Q: 1) Find and of the following equation then simplify whenever possible. dx x = 2u* – u3 + u – 11 , y…

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Q: 1 By using completing the square, dx can be rewritten as Vx-4x-7 1 OA. V(r-2)2-3 1 dx Vr-2)2-11 OB.…

A: We have to rewrite the given integral using completing the square method

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: ind the distance from the point to the plane ( 2,–3,4) x + 2 y – 2 z = 13

A: To find : Distance from the point (2,-3,4) to the plane x+2y-2z=13   formula for distance from point…

Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: Sa(t) = 4t2 ly(t) =…

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Q: Question 18 d?y If y = x In x, find dx2 A) -1/x B -1/x? © 1/x2 D) 1/x

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Q: If * 1 y = 3u? + 2 and u = -, x = 1 then dx dy ||

A: If  y=3u2+2u=1x x=1 To find dydx

Q: (a) Evaluate by solving the work for (i) Sxe-*dx.

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Q: sing Green's theorem if C₁is y = x² + 2, with the es the y-axis to intersect C₁. C. 41.3013 sq. ur

A: Given that ∮Cxydx+xeydy. We have to determine the line integral by using green's theorem if C1 is…

Q: 1 By using completing the square, dx can be rewritten as Vx?-4x -7 1 dx V(r- 2)² – 3 1 V(r- 2)² – 11…

A: x2-4x-7 = (x-2)2-11

Q: (a) Interpret the point (1,2) in the context of the situation. North (1,2) East (6,-0.9) for the…

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Q: dz If z = f(x,y), x = g(s,t), and y = h(s,t), explain how to find Choose the correct answer below.…

A: Given z=f(x,y)       .......(1)x=g(s,t)          ......(2)y=h(s,t)          ......(3)

Q: If x + xy +y =7, find the value of dy at the point (1,2). %3D dx

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.