Find the two points (P1 and P2) where .the curve crosses the x-axis x² + xy+ y – 7 = 0 %3D

Q: Find the function of ( x +y )dy = (x - y )dx

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Q: at s) y= y(x)is given implicitly by 1+xarcsin y-2ycosx=2xarctan(-). Find y the point

A: 1+x·arcsin y-2ycosx=2x·arctan1yDifferentiate both sides with respect to x using chain rule.0+arcsin…

Q: Find dy/dx and d2y/d2x. For which values of  is the curve concave upward? x=t3+1,   y=t2-t

A: The equations are given as, To find the value of   The derivative is taken with respect to t for x…

Q: (x + y – 2) dx + (x – y + 4) dy = 0 |

A: Given:-(x + y - 2) dx + (x - y + 4) dy = 0To find: Find the family of equations

Q: Graph of ƒ Lif(2) dz = L', f(2) dz = S2 f (æ) dæ = Ss\f (x) |dæ Si (f (x) + 3] dæ

A: We need to evaluate its integral of a function f(x) in some interval x∈[a,b] from its graph. It is…

Q: For what value(s) of x, the curve y = has horizontal tangent ? x²+1 x= 0 & x = - 1 Ox=0 O x=1 & x=…

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Q: y = eA+esr

A: It can be solved using chain rule for composition of two functions.

Q: Find the length of the curve y2 = ln x, -1 ≤ y ≤ 1.

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Q: You are given a first-order D.E. = x2 + y³ . Suppose the solution y(x) satisfies the initial dx…

A: dydx=x2+y3  and y1=-1

Q: Classify the equation as separable, linear, both, or neither.

A: To classify: The equation as separable, linear, both or neither. Given: The differential equation is…

Q: 2. Find the lengths of the given curves: a) y = x/2 -x2,1sK< 4 L = V1+f(x)*dx 3

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Q: Find an equation of the tangent plane at the given point: F(r, s) = – (2r4. 1 2), (-2,1) s0.5 = Z

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the equation normal to x² + 3xy + y3 = 15 at x = 1. %3D

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Q: ƒ (x, y) = ln (√√x²y³) f

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Q: Find the equation/s of the tangent and normal to the curve y = x +3x–1,(1,4) a. y+4=0, 2X-1=0 O b.…

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Q: -dz , where y is given in the figure z2+1

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Q: Find an equation of the tangent plane to the graph of F(r, s) at t F(r. s). - (3r4 1 + 1), (-1, 1.…

A: Introduction: Let z=f(x,y) denote the equation of a surface S in R3, and P=(a,b,c) denotes a point…

Q: Find dy/dx and d2 y/dx2 . For which values of t is the curve concave upward? 13. x = et , y = te-t

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Q: Use the information to find and compare Δy and dy.

A: Given that, y=x2-5x=f(x) x=-3 ∆x=dx=0.01   As we know, ∆y=f(x+∆x)-f(x) dydx=f'(x)⇒dy=f'(x)dx

Q: Find dy/dx and d²y/dx². x = e', y = te"t dx dx2 For which values of t is the curve concave upward?…

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Q: Q2/ 1- Find f xe-3* dx 3V5 2- find the length of the curve y

A: Using By Parts rule of integration. According to Bartley by rule I am supposed to solve only first.

Q: FIND Y(s) OF THE GIVEN EQUATION.

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Q: For y=x-3x+7, find dy, given x= 1 and Ax= 0.3.

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Q: (y2+yx)dc+x?dy=0

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Q: Find the equation of the curve for which dx2 = 6- 9x and which passes through the points (0,–1) and…

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Q: Find T3 centered at x = a. 1. f(x) =e2x,a = 0

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Q: (a) Find if x² + y² + xy =1 dy dx (b) Identify the nature of the stationary points of y=4x³ - 21x²…

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Q: Find E(Y|X=1).

A: Given the Joint Distribution, we have to find the conditional expectation of y given x=1. by using…

Q: x(y S. %3D

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Q: c. Find for the above values of t. dx

A: (C) The given functions are y=2+t  and  x=t2-t. Evaluate the values of t for which dydx=2 as…

Q: The curve y : in (3x - K) crosses the at and the equalion of the at this point Find the value of K…

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Q: dy of the curve yln x + 5x² + y' = 13 at the point (1,2) dx b) Find

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Q: Which of the following plots best represents the solution with the initial condition A(0) = $1mil?…

A: Given data:   The given initial condition is A(0)=$1 million.   The initial condition can be written…

Q: Find dy/dx and d²y/dx². For which values of t is the curve concave upward? x = t2 + 1, y = et – 1

A: x=t2+1y=et-1

Q: Find at the given point without eliminating the parameter. dx2 1?, y = , X = 2 t = 2 3

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Q: Find all points on the curve where the tangent line has the given slope. (If an answer does not…

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Q: Find dy/dæ and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

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Q: The max value of y=sin x is a.1 b.0 c.1/2 d.2

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −6x4 +2y4 =11

A: we find derivative dy/dx implicitly by using the result that derivative of x^n is nx^(n-1) and…

Q: Given the function y = x-x² – 6x, to find the total of all the areas between the graph of this…

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Q: Find dy/dx and d²y/dx². dy dx d²y dx² 11 || x = t² + 9, y = t² + 3t For which values of t is the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: In r d) y = (V)" at (1, 1)

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Q: Find the value of d-y/dx at the point defined by the given value of t. x- 6t 2 -3, y= t 5, t=1 3D1…

A: Take the derivative than eliminate the extra terms as required.

Q: Find d²y/dx² for the following equations: e) xy + y² = 1

A: Given equation is xy+y2=1 find d2ydx2

Q: Find dy for the following equation. y = 3x/12-x

A: y=3x12-x3 We need to calculate, dy=____dx

Q: If y1=2x+4 and y2 =x^2+C, find the value of C such that y2 is tangent to y1

A: Given: y1=2x+4    and    y2 =x²+C   To find :the value of C such that y2 is tangent to y1

Q: Find the length L of the curve R(t) = 4ť²i + t° j+ 4k over the interval [3, 6]. L

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Q: Find d²y/dx² for the following equations: e) xy +y2 = 1

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Q: B D 3. d²y and -both dx? dy 1. At which of the five points on the graph in the figure above are dx…

A: Given, The graph between y and x  Fiven points A,B,C,D,E  are given on the graph

Q: If y1=2x+4 and y2=x^2+C, find the value of C such that y2 is tangent to y1. O A. 6 В. 5 О С. 7 O D.…

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