The graph of y = f(x) has f(5) y = f(x)? - 2 and f'(5) = = 3. Which of the following míght be a graph of

Q: Each of question gives the first derivative of a continuous functiony = ƒ(x). Find y'' and then use…

A: Given a derivative of a continuous function y=f(x)

Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: sketch the shifted exponential curves y = 3x + 2 and y = 3-x + 2

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Q: An equation of the line tangent to the graph of f(x)= x(1-2x) at the point (1,-1) is

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Q: Find the formula for a parabola with its vertex at (9,4) and with a second derivative of -3. f(x)=

A: let's equation of parabola is given by y=ax2+bx+c                                              ..1…

Q: Without using a graphing calculator, how can I show the function 1-ln(y )= z in a graph and its…

A: Without using a graphing calculator,  Show the function zx,y=1-lny in the graph and its traces.

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

A:

Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y +1)/(x + 1) and which…

A:

Q: Determine the equation of the line tangent to the graph of y = x° + 2x at the point (1, 3).

A: y=x3+2x   x1,y1 =1,3dydx=3x2+2slope of tangent at point1,3dydx1,3=312+2 = 5Slope of the tangent m =…

Q: Find the equation of the curve that passes through the point (3,6) if its slope is given by dy = 6x…

A: Note: As per company policy we are supposed to solve only one question. So, kindly re-post the other…

Q: Find the equation of the line tangent to the graph defined by the equation at the point (2,0).…

A: Given equation of curve ,xey-y=2 -1

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

A: We know that the equation of tangent line to the curve y=fxat a point x1,y1 and having slope m at…

Q: The point on the curve y=vx+2 which is closest to the point (5,2) is

A:

Q: Find an equation of the curve that passes through the point (3, 1), and has the given slope y′ = −…

A: Given that y'=-y5xdydx=-y5x

Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

A:

Q: Find the equation of the tangent line to the graph of y = 2x - (4 / √x) at the point (4, 6).

A: Given,            y = 2x - 4x and Point is 4, 6

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x2 - 10x +1 which is perpendicular to the…

A: Explanation: Given that,  y=2x3-3x2-10x+1     Concept Used: 1. Slope of the tangent is the first…

Q: Find the equation of the curve that passes through the point (0, 2) and has a slope of at any point…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given, f'(x)= sec22x; π2, 0

Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy = 5x…

A: Given that, the curve passes through the point 8,6 and the slope is given by dydx=5x-7

Q: Find the equation of the curve that passes through the point (8,2) if its slope is given by…

A:

Q: Each of question gives the first derivative of a continuous functiony = ƒ(x). Find y'' and then use…

A:

Q: Find an equation of the curve that passes through the point (0, 2), and has the given slope y′ =…

A: y'=x4y, (0,2) Formula ∫xndx=xn+1n+1+C

Q: Find the equation of the curve that passes through the point (7,3) if its slope is given by dy = 7x…

A: As per our company's policy, we can solve first question only. Please repost other question…

Q: Find the equation of the curve that passes through the point (5, 4) if its slope is given by dy — За…

A:

Q: Find an equation of the curve that passes through the point (0, 6) and whOse slope at (X, y) is X/y.

A: Given that: Slope of the curve at (x, y)=xy

Q: Find an equation of the curve that passes through the point (0,1) and whose slope at (x, y) is 11xy

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Q: find an equation of a straight line tangent to the curve y=e^x and passing (0,0).

A:

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope at (x, y) is x/y.

A:

Q: Find an equation of the tangent line to the graph of y = 2x² + 3 that is parallel to the line 8x - y…

A:

Q: The graph of a particular function passes through the point (3,4). Its first derivative is 2yy' + 2x…

A:

Q: Find the equation of the line tangent to the graph f(x) = – at the point (4,1).

A: Given:            fx=4x To find the slope of the tangent line, find the value of the derivative of…

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: At (8,4) the value of C will be: 4=5(8)22-4(8)+C4=160-32+CC=-124 So the equation will be…

Q: Find the equation of the curve that passes through the point (8, 4) if its slope is given by dy = 5x…

A: Using variable separable form of Differential equation.

Q: How is the graph of y = Sin(x - 30) different from that of the function y = sin x?

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Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

A:

Q: Find an equation of the curve that passes through the point (8, 2), and has the given slope y′ =…

A: Solution:-We have to find an equation of the curve that passes through  the point (8,2) and having…

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: The equation of a curve is y= 4x²+4lx+12-k, where kis a constant. In the case where k=1, find the…

A: If a line is parallel to the x-axis then its slope will be 0.   Slope of the curve y=f(x) is m =…

Q: Find an equation of the curve that passes through thepoint (0, 1)and whose slope at (x, y) is xy.

A: To Determine: Find an equation of the curve that passes through the point (0, 1)and whose slope at…

Q: 4. Find the equation of a curve whose slope at any point is equal to x + + and which passes through…

A:

Q: 2. Find an equation of a curve satisfying the ff. condition and passing through the point (0, -1).

A: dxy-dy1+x3=0A first order separable ODE has the form of Ny·y'=MxLet y be the dependent variable.…

Q: Find the equation of the curve that passes through the point (6,6) if its slope is given by dy/dx =…

A:

Q: Find the equation of the tangent line to the graph og 8y^3-4xy^2=20 at the point (-3,1)

A: