Find f(x) if y = f(x) satisfies %3D dy 42ya3 %3D dæ and the y-intercept of the curve y = f(x) is 4. f(a) = %3D

Q: Can you help me with this problem step by step?

A: The given equation,

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x2+3x−5=2y2 −2y

A: We have to find derivative (implicitly ) with respect to x .Curve equation is given by:

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

A: We have to find derivative of curve equation (implicitly).Curve equation is given by:

Q: Find   dy/dx by implicit differentiation. x3 + y3 + 8y − 10 = 0

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y2 −3x3y4 =1

A: We have to find  dy/dx of curve equation  (implicitly).Curve equation is given by:

Q: Compute the indicated derivative using the chain rule. dy x = 1 – t/3, y = 8t – 1; dy %3D

A:

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A: derivative

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Q: Find the differential dy. y = 5x2 / x-9       dy =

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Q: Find the derivative of y with respect to x. y = In (x) dy 8. dx %3D

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Q: Find f(x) if y = f(x) satisfies dy 144yæ17 dx and the y-intercept of the curve y = f(x) is 3. f(x)

A: The explanation of answer as follows

Q: Find dy for the given values of x and Ax. y = 3x+5; x = 1; Ax 0.24 What is the derivative of y = V3x…

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Q: -2r²+2x+1 ev dy at x = 0. Find the equation of the tangent line to the graph of F(x) = sech z

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Q: Find the value(s) of dy/dx  at y=1 given that x2y + y2 = 5.

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Q: Why does this work? If we have the curve in the xy-plane: F (x, y) = 0, then why is the implicit…

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Q: 11. Find the first derivative of y = arccot (). a. y' 1+ b. y' = 1+x² 21 c y' = 14 d. y' = 14x0 e.…

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Q: Find dy/dt of y = Ssin (cost) and simpli -t -cos t cos t V1-? the

A: Given:- y=sin(cos-1(t))  To find:- y'

Q: what is the dependent variable and linearity of the DE: d(xy)/dx + xy=0?

A: We will find out the required values.

Q: Can you help me step by step?

A: To differnetiate the given function y(t)

Q: Use Euler's method to estimate y(0.02) ey-x y' 1 + e²y ,y(0) = 4

A: Given differential equation is y'=ey-x1+e2y with the initial condition  y0=4 and step size is…

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A: Given:

Q: Find the derivative. 8) y =V4x +2 dy dxN4x + 2 =N4x + 2 A) dy В) dx 4 1 N4x + 2 dy C) dx dy D) dx 8…

A: SOLUTION-

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below

A: Given,

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+x5y4=−1

A:

Q: The derivative , given 7x y Inz + 7e5y is dy dr 21r y 3y In z 35e 21z y 3y In r+35ze 21r y 3ry In r…

A: In this question we have to find the differentiation.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 3− x4 y2 =-2

A: We have to find derivative of curve (implicitly).Curve equation is given by:

Q: Find an equation of the line tangent to graph of y =x2 + sin (Ex) at x=-1. A. 2x - y+2 = 0 B. 2x +…

A: To find the equation of tangent line of the given graph.

Q: dy - f *P, = 7 dt y(0) = 4.

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Q: Find the derivative of y with respect to s. y = sec 1 (5s° + 2) dy ds

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Q: Find the derivative, dy/dx of the following using the chain rule: a) y= . . x+1 d) y= 3x+1" f)…

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Q: Find the dy/dx by implicit differentiation. yvx +1= 4x - 2y 2(x+1) x+1 O Xxww wwxx 2y 2(x+1) x+1 O…

A: Given:  yx+1=4x To Find: To find dydx by using implicit differentiation.

Q: 22. Find when t=, where x a(t + sint), y= a(I-cost) and a is a constant %3D

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x 4− 5y4 =11

A: We have to find dy/dx of curve equation (implicitly).Curve equation is given by:

Q: dx Find the value ofat y=2 if x=z³+5z and z= dy (y² + 2y)'/³. -

A: Consider the function, x=z3+5z Differentiate 'x' with respect to 'z' as, dxdz=ddzz3+5z=ddzz3+5ddzz…

Q: Find the indicated derivative. dy dt dy 11 for y=(2.5t-4t²) (2t+1.4)

A: Given that,   y=2.5t-4t22t+1.4

Q: Find the indicated derivative. dy dt - for y = (2.2t - 4t?)(2t + 1.9) dt 11

A: We have to find dy/dt for Given function.

Q: Find the derivative of y with respect to z. y=3 (2°) dy dz II

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Q: dy Find at the origin on the curve: - dx x² + y + x + 3y 0

A:

Q: Find the indicated derivative. dy dt for y=(2.7t-4t)(3t+1.6)

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Q: Find dy for the given values of x and Ax. y = /2x + 5;x = 3; Ax = 0.13 What is the derivative of y =…

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Q: Find the value(s) of dx at y= 1 given that x²y+y² = 5. only В only 2

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −4x2 −3x−1=y2 −y

A: The given function is,

Q: Find f(x) if y = f(x) satisfies dy 54yr dx and the y-intercept of the curve y = f(x) is 2. f(x) :

A: Given differential equation : Y intercept is 2 which means

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x3+y4=3

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A: The given equation is,

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.