Find the point at which the line f(æ) = 5æ + 17 intersects the line g(x) 3x + 9

Q: For x = x (x - 1)(x + 2)², what is the coordinate of the rightmost fixed point?

A: Given differential equation is x ˙= xx-1x+22

Q: Find and sketch the domain for f(x, y) = ² 2x-14y²

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Q: Find the equation of the line that is tangent to f(x) = 2x² and is parallel to 16x - 4y =11.

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

A: According to the question, we need to find the equation of line perpendicular to the line 2x-4y=6…

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: The graph of f is perpendicular to the line whose equation is 3x−4y−12=0 and has the same​…

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Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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

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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: Find the point on the line – 6x + 2y +1= 0 which is closest to the point (1, – 3).

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Q: Find an equation of the line that is prependicular to the line 4x + 6y + 5 = 0 and passes through…

A: The equation of a line is the relation between the x-coordinate and y-coordinate of any point on the…

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

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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 secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: For the curve f (x) = -2(3)" +3, the y-intercept occurs at:

A: We know that as y intercept x=0.

Q: What is y-intercept of f(x)=2^z

A: The objective is to find the y-intercept of the function fx=2x

Q: Find the y -intercept of the line by substituting 0 in for x and solving for y. -5x+3y=-60

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Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: The distance of the line 7x+ y- 5=0 from the origin is A 2 B V2 D2/2

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Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

A: Consider the given equation as Hz=-4z+3

Q: Find the equation of the line tangent to the graph of the function at the indicated point…

A:

Q: Find the zero of the linear function  f(x)= x+4

A: fx=x+4

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

A: In this question given that two line which are intersect each other and and a line is perpendicular…

Q: Find the y-intercept of the line. y- 0.7x- 6.5 rintercept: 0

A: Line Y on X is  y=mx+c  m=slope and c=intercept

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

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Q: Find the equation of the line tangent to the graph of y = 2x3 – 8x? + 3x – 6 at x = 1.

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Q: Find the point on the line -4x + 7y + 1 = 0 which is closest to the point (– 1, 3). %3D

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Q: Find the point at which the line ƒ(æ) = 2x intersects the line g(x) = 4x + 12

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Q: Find the point at which the line f(x) = - x – 2 intersects the line g(x) 3x + 6 %3D

A: f(x) = g(x) Thus, -x-2 = 3x + 6   Separate variables to LHS and constants to RHS -x-3x = 6 + 2 -4x =…

Q: Find the point at which the line f(x) = – x – 2 intersects the line g(x) = 3x + 6

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Q: f(x) = xª -4 and Perpendicular to the line x - 4y + 1= 0.

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Q: Calculate the point where the functions h(x)=3−3⋅x2 and w(x)=3⋅x+4 intercept. A.) Give its…

A: Topic:- algebra

Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: Find the x-intercept of the line by substituting 0 in for y and solving for x -4x -6y=36

A: For x intercept we put y=0 in given equation

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 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: Graphically, find the point (x1, y1) which lies on both lines 2x + y = 4 and x −y = 2.

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Q: find the x-intercept of the line by substituting 0 in for y and solving for x.   y=3x-12

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Q: Find the equation of the line satisfying f(0) - 7 and f(7) 2. %3D f(x) = -

A: As we know that, The expression for the equation of the line (point-slope form); y-y1=mx-x1 Where;…

Q: Find the point on the line 5x + 2y + 7 = 0 which is closest to the point (1, –2)

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Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

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 the point on the line 6x + 2y – 4 = 0 which is closest to the point (5, 1) |

A: Given line : 6x+2y-4=0 6x+2y=42y=-6x+4y=-3x+2 let P be the point on the line  is (x,-3x+2) Now we…

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

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Q: Find the equation of the line perpendicular to -x - 4y = 6 and passes through the point whose…

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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: Find the equation of the line that passes through the points of intersection of the curves y^2 = x…

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.