16) For the function: f(x) = 4x² +6x+1 A) Find the intercepts.

Q: Find the x-coordinate for the point of intersection by using f (z) = 2z + 6 g(z) = -3z +1

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Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4

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: f(x) = −x2 + 6x − 12 y-intercept(x, y)=

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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: 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: Find an equation for the contour of f(x, y) = 2x°y+ 8x + 15 that goes through the point (5, 2).

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Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

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

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

Q: What is the x intercept or 0's of -x^2+4x+3?

A: Given equation : - x2 + 4x + 3 Zeroes of given equation. - x2 + 4x + 3 = 0 Multiply by (-1)  x2  -…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=9−2/5x, and the line perpendicular…

A: fx=9-25x Comparing with fx=mx+c, we get m=slope=-25c=y-intercept=9 Therefore the slope of a line…

Q: Find the x-intercept and the y-inercept x-3y=-3

A: The y-intercept of the function is computed as follows.

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: The path of a diver is modeled by 24 *+ 13 f(x) = - where f(x) is the height (in feet) and x is the…

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Q: Find the equation of the line perpendicular to the line 3x + 4y + 6 = 0 and making intercept -4on…

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Q: Determine the slope 3(x2+y2)2=100xy at the point (3,1)

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Q: Ax) = V(x+1) – 1

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Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

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: What is the y-intercept of y = secx?

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Q: A company that produces cell phones has a cost function of C the cost in dollars and x is the number…

A: Let's find critical points. The derivative of the cost function is  C'(x) = 20x - 189 The derivative…

Q: Parallel to y = 3x + 7; x-intercept is 2

A: We know that two parallel lines have the same slope. In the general equation of a line, y=mx+c, m…

Q: For f(x)=(sqrt x) + 2x , find the equation of the secant line passing through x1=4 and x2=9. Write…

A: Please see the below picture for detailed solution.

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.

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Q: x²-4x -5 flx)= 9-メ The x intercept with negative valke positive value 2. with x intercept is The 'Y.…

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Q: find x and y intercept for y=square rood of 2x-1

A: given: y=2x-1

Q: Find the point inflection of the curve 2y=9x²-x³+6

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Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line perpendicular…

A: Recall : Area of the triangle with three points x1,y1,x2,y2 and x3,y3 :            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: Graphically, find the point (x1, y1) which lies on both lines 2x + y = 4 and x −y = 2.

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Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or…

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs…

Q: F(x)= -x^2-4x+2 -Find x-intercepts(x,y) (smaller x value)?

A: Question is solved.

Q: 24. Find the point of inflection of the curve x3 – 6x2 + 2x + 14.

A: Using formula of point of inflection of the curve.

Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 & the line tangent to y=gx at x=5 is y=6x-27. Put x=3…

Q: Find an equation for the contour of f(x, y) = 2x2y + 6x + 10 that goes through the point (2, -2).

A: We have to find an equation that is the contour of  f(x,y)=2x2y+6x+10      that goes through the…

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…

Q: Solve for the distance and midpoint from the given equation. a. {(x,y)|y=2x-5, x=-3 and 4} b.…

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Q: 2.Find all the maxima value of f(x, y) = 49 - x2 – y?, on the line x + 3y = 10 %3D ||

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Q: The equation for FG is y = 2x + 1. Which equation represents a line that is perpendicular to FG and…

A: Equation of line FG =2x+1 so the slope of FG is m=2

Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

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Q: Find the equation of a line that intersects the curve y = x² + 14x + 52 at x = -10 and is parallel…

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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: 15. Identify y-intercept for f(x) = 2(x² −5) + 4.

A: We have to find the y-intercept.

Q: The range of the function y= 16-x2 is the interval [0, 0)

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Q: The yield in bushels from a grove of orange trees is given by Y = x(400 − x), where x is the number…

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Q: To find the y-intercept, the x coordinate must be 0. O True O False

A: Given that To find y-intercept is the x-coordinator must be 0.