Find the point at which the line f() = --1 intersects the line g(a) 2 + 8

Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)

A: We will find tangent equation.

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 of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

Q: For Exercise, find the slope of the secant line pictured in red. 6--y = f(x) %23 (3, 4) (1,1)" ! 2 3…

A:

Q: Find the equation of the line tangent to the graph of y = (x3 - 1)(x2 + 1)4 at the point where x =…

A: The Slope of the line at any point is given by the derivative of the function at that particular…

Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x

A: Rule:-equation of line passing thraught (x1,y1) and (x2,y2) is y-y1=y2-y1x2-x1(x-x1)

Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

A:

Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

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: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: Find the slope of the secant line connecting the points on the graph f(x)=2h+4x-12, with the given…

A:

Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: Find the equation of the tan gent line to the graph of the equation f(x) = 5x - 8x +12, at the point…

A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: Find the point on the graph of y = 3x2 − 2x + 5 where the tangent line is perpendicular to the line…

A:

Q: 4) Find an equation of the line tangent to the graph of 2x³y³ = 2y – 4x at the point (-1, –1). Show…

A:

Q: Find the equations of the line that is tangent to f(x) = x3 - x2 +3x - 4 at x = 2

A:

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

A:

Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

A:

Q: An object moves along a horizontal line according to s (t) = 5t° – 2t², when is V increasing and…

A: In the given question, concept of derivative is applied. Derivative The derivative expresses the…

Q: for the function f(x)=11x^3-x, find the slope of secant line at interval [1, 1.01]

A: We have given a function f(x).

Q: The slope of the curve y- xy- 3x = 1 at the point (0, -1) is а. 1 с. -1 b. 2 d. -2

A:

Q: slope m of the line tangent

A:

Q: Determine the point(s) at which ƒ(x) = x3 - 12x has a horizontaltangent line

A: The points where the tangents are horizontal are the points at which slope is zero.That means,…

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: Find the equation of the line tangent to the graph of f(x) = 7x³ + 8x² – 2x – 6 at x

A: We need to find the equation of the tangent to the function f(x) = 7x3+8x2-2x-6 at x=—2 We know that…

Q: Find the slope of a line that is tanget to f(x)= 1/x at the point (2,1/2).

A: Given:

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

A:

Q: Consider the function f(x)=x^2+2x+2  what is the equation of the line of symmetry of f?

A: To find equation of line of symmetry of function fx=x2+2x+2

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

A:

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: The product of slope of perpendicular lines is -1  and slopes of two parallel line are equal. The…

Q: The line y=3x+6 is tangent to the graph of y = (-48)/(x-6) at the point ?

A: The given equation of tangent is y=3x+6 and its tangent to graph of y=-48x-6. To find the points at…

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

A:

Q: What is the slope of the secant line that intersects the graph of h(x) = 16 – z at z = l and a = 4?

A: The slope of the secant line or any other line can be defined as the rise to the run ratio which is…

Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: Sketch the curve: f(x) = x^4 - 6x^2

A: solution:-f(x)=x4-6x2Domain=(-∞, ∞)x-interceptsy=f(x)=0f(x)=x4-6x2=0x2x2-6=0x2(x+6)(x-6)=0(x+6)=0,…

Q: In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = 3x* – 8x +…

A:

Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

Q: Find an equation of a line that is tangent to the graph of f(x) = x³ -3 and Perpendicular to the…

A:

Q: Find the point at which the line f(x) = - 3x +8 intersects the line g(x) = -5z + 16 %3D %3D

A: Given f(x)=-3x+8 g(x)=-5x+16

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: Given functions: y=2-x2y-2x+3=0 Equation of perpendicular line is, 2x-4y=6

Q: At what point does the graph of the function f(x) = x³ – 3x has horizontal tangent ? Find equations…

A: a) Points are (1,-2) and (-1,2) b) Lines are y=-x-1, and y=-x+3

Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

A:

Q: Find an equation of the line that is tangent to f(x)= x^3+2 and parallel to the line 3x-y-4=0

A: Given f(x)=x3+2

Q: Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the…

A:

Q: Find an equation of the secant line containing (1, f(1) and (2, f(2). 19) f(x) = x3

A: Given,         The equation of the secant line containing 1,f1 and 2,f2 and the line          is…

Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…

Q: Estimate the slope of the graph at x=0. AY 5- 4 2- -109 6 54 19 2345 6 7 8 9 10 -2 -4 -5- -2 O 1 O 2…

A: Given: The graph is To determine: The slope of the graph at x=0.

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.