2) Given f(x) = ax²+bx+c has a y-intercept equal to 5, ƒ"(1)= 16, and (1,11) is a point on the curve, find ƒ(x).

Q: Find the slope of the secant line to the function f(x)=4x²- 3x, through point P, where x= - 1, and…

A: To find the slope of secant line PQ to  the function f(x)

Q: Find the Slope at (2,1) given (10-x)y2 = x3

A: Given equation (10-x)y2=x3 Formula for slope at a point is slope= dy/dx  at that point

Q: Show that the x-coordinate of the vertex of the parabola whose equation is y = ax2 + bx + c occurs…

A: Given the equation of a parabola y=ax2+bx+c

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

A:

Q: curve Y = √x closest to the point (5,5

A: The given curve is y=x.

Q: What is the equation of the curve whose slope at any point is equal to 1 y x ++ and which passes…

A: The slope of a curve at a point is the slope of the tangent to the curve at that point. The slope of…

Q: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

A:

Q: show that the x-intercept of the graph of Ax+By=C is (c/a,0)

A: Given equation,

Q: i am having trouble with  finding the x-intercept of  y = x3 + 2 (-1.26, 0) is the closest i got

A: To determine the x-intercept, we set y equal to zero and solve for x.

Q: Find the point on the curve y = √x closest to the point (2,2)

A: Here we have to find the point on the curve y = sqrt (x) closest to the point (2, 2)   use the…

Q: for y if y"= 8x – 3 and the slope i

A: Integration: y''=8x-3Integrating both sides we get,y'=8x22-3x+cy'=4x2-3x+c

Q: 2. Find the x-intercepts for g(x)= 3x² -12x² - 36x

A: To find the x intercept we have to put y = g(x) =0