Q1/a) Find the curve whose slope at the point (x,y) is 3x2 if the curve is also passes through the point (1,-1)

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Hello. Can you please explain this problem to me?

A: Slope of the function is the derivative of the function.

Q: the slope of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

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Q: The graph of f(z) = 2z³ + 12z² – 126z + 17 has two horizontal tangents. One occurs at a negative…

A: for the horizontal line find the slope first and set to zero.

Q: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

A: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

Q: The equation of the tangent line to the circle x^2 + y^2 = 36 at the point (5, square root 11) is…

A:

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and…

A: To find a parabola with equation.

Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Given equation of circle x2+y2-4x-21=0

Q: Find the equation of the line passing through the point (4,5) and perpendicular to the line y= x+2…

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Q: the slope of the curve 2y2=ax2+b at (1,-1) is -1.find a,b

A: The equation of the curve is  2y2 = ax2+b…

Q: Determine the coefficients a, b, c, d that will make the curve y = ax3 + bx2 + cx +d passes through…

A: Given y=ax3+bx2+cx+d

Q: Find a parabola with equation y = ax² + bx + c that has slope 4 at x = 1, slope -16 at x = -1, and…

A: We know slope of a curve y=f(x) is given by, dydx=f'(x)

Q: A line with slope three intersects a line with slope five at the point (10,15). What is the distance…

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Q: Find the slope and y-intercept of the line through the point (5,9) that cuts off the le slope = %3D

A: let slope of the line is = m  The equation of line passing through the point (5,9) and having slope…

Q: he slope of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

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Q: Find an equation of the curve that passes through the point and has the given slope. (Enter your…

A: Solve for the equation

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: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

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Q: Find the equation of the family of curve whose slope at any point (x,y) is (x+1)/(y-1)

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Q: The slope of the curev y^2 -xy-3x = 1 at the point (0,-1) is

A: Given curve is: y2-xy-3x=1 ......................... (1) We have to find the slope of this curve at…

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: equation of the curve that passes through the point (0, 6) and whose slope at (x, y) is x/y.

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Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

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Q: 8. A curve whose slope at any point is 6x² А. у %3D 2х3 — х? +х+6 - 2x + 1 passes through the point…

A: We need to find equation of curve.

Q: The point (0, 1) has the distance from the line defined by y = -2x – 1

A: Solve for distance

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: For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at…

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Q: The equation of a curve is y = 4x³ + px², where p is a positive constant. Find the stationary points…

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Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

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

A: y'=-9x16yPasses through (1,1)Formula∫xndx=xn+1n+1+C

Q: The slope of the curve y=x' +3x² – 6x +5 at (1,3) is -

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Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Estimate the slope of the graph at the points (x,, y,) and (x2, Y2). At (x1, Y1), slope At (x2, Y2),…

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Q: The slope of the curve y^2-xy-3x=1 at the point (0,-1)

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Q: Find an equation of the curve that passes through the point (1, −2), and has the given slope y′ =…

A:

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

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Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

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Q: perpendicular to the line 2x+ 5y 7 nbR uation of the line (in slope-lntercept form), passing through…

A: Given:     Point: ( 2 , -3 )       Line : 2x + 5y = 7

Q: Find an equation of the curve that passes through the point and has the given slope. (Enter your…

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Q: Find the equation of the family of curves whose slope at any point (x,y) is   2. x/y

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Q: Parallel to y=2x-9, passing through (1,-5) Point-slope Form: Slope-intercet Form:

A: To find the equation of the required line under the given conditions

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A: To find the equation of family of curves whose slope is given .

Q: What is the slope of the curve y= 2 over √x at the point (4,1)

A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…

Q: Find equations of both lines that are tangent to the curve y = x3 - 3x2 + 3x - 3 and are parallel to…

A: The given curve is represented by y = x3 - 3x2 + 3x - 3 and are parallel to the line 3x - y =…

Q: The y-axis and the line x = c are the banks of a river whose current has uniform speed a in the…

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Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…

Q: Find equations of both lines that are tangent to the curve y=x3 -3x2+3x-3 and are parallel to the…

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.