If f(æ) =5x² –7x and g(x) =2 - x, then the expression for 4g(æ) – f(x) is O 20x2 – 27x - 2 O-5a2 – 11a +8 O 20x2 – 29x -2 O-5x2 +3x +8

Q: If f(a) = x + 9x2 - 12a- 20, which of the following is a factor of f (r)? %3D ㅇ (z- 10) Submit…

A: Explanation: Given a function: f(x)=x3+9x2-12x-20 Let  put x = 2 into the given function…

Q: *(x) = x3 – 2x + 4 at a = 1

A: Given query is to find the value of the function at indicated point.

Q: -2 -4x S so*x²dydx

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Q: If [x² - 2x + a] = 0 has no solution, then find the values of a (where [] represents the greatest…

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Q: Show that (x- 3) is a factor of 2.x3 - 2x2 - 17x + 15. Hence express 2x³ – 2.x² – 17x + 15 in the…

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Q: 5x +3x+2=0 has 2 real solutions. O True False

A: We have to determine whether statement is true or false

Q: Given f(x)=3x^3+kx-11 and x-1 is a factor of f(x),then what is the value of k?

A: If any function f(x) has a factor (x-a), then the function value at x=a is 0.

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Q: When p (x)=2x+kx +1 is divided by x+1, the remainder is the same as when q (x)=3x4+ kx² +2 is…

A: After calculating the division of two function, we will equate the remainder values to Find k valye

Q: he has the cdf F(x)=5x-3 -3€X<3 43 Find PC -Zx<) Find P Cx=2)

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Q: The general solution to 3x" + 2y = 0 can be obtained using?

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Q: 4. x-2x+1= 3

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Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

A: Given that  If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

Q: Find Y in (D^2 - 6D + 8) y = 8x^2 - 12x + 2 + ye^x using METHOD OF UNDETERMINED COEFFICIENTS

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Q: f(x)=6x-4 and g(x)=2x2+5, find (gof)(x)

A: To find: The value of g∘fx. Given: The functions are fx=6x-4 and gx=2x2+5. Formula used: The…

Q: When p (x)=x+ kx2 +8 is divided by x +3, the remainder is the same as when q(x)%3D2%³+ kx -21 is…

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Q: One factor of x^2+bx+15 is x−3

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Q: Let h(x) z² –3z+2 -z² –4x+4' what is h' (-5)?

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Q: If f(x) = 5x® – 3x – 5, then what is the remainder when f (x) is divided by %3D | X - 2?

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Q: If [2x 3] 1 21 -3 0 8 = 0, then the value of x is

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Q: 3. Divide x+4x-3x-2 by X-2) then divide if CX-2) isa factor of x² t4x-3y-2 why?

A: We have to divide (x3 + 4x2 - 3x - 2) by (x - 2)  Then ,

Q: Q 4. (a). Show that fog = 4x² – 1, if ƒ(x) = 4x – 5 and g(x) = x² +1.

A: a. Given: The functions fx=4x-5 and gx=x2+1, To find: f∘g=4x2-1, Formula used: (f∘g)(x)=f(gx).

Q: f (x) = V13 - x and g (x) = x2 + 3x - 4, what is (gof) (9)? Select one: O a. 6 b. 1 c. 4

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Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: fo)-글x3-글 x2-6x +4 has

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Q: If f(x) = 2x3 + Ax2 + 4x - 5 and f(2) = 5, what is the value of A?

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Q: If [x² - 2x + a] = 0 has no solution, then find where [] represents the greatest integer).

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Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5[x]/ is: 5x^2+ 5x +1 4x+1 O x^2+2 None

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Q: Find the discriminant of C(x)=3X^2-4X+3

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Q: 32.) If f(x) = 3xr + 2 and g(x) = 2x² – 3, find 6f(-2) + 7g(1). %3D %3D -

A: We are authorized to answer one question at a time, since you have not mentioned which one you are…

Q: Suppose that 6(g(x))2+13x=5x3g(x)−12, and that g(−1)=−1. Find g′(−1).

A: Given Data: Equation: 6gx2+13x=5x3gx-12 Conditional Value: g-1=-1   The derivative of the given…

Q: When p (x)=2x + kx +1 is divided by x +1, the remainder 1s the same as when q (x)=3x + kx +2 is…

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Q: 1(d) Show that x − 4 is a factor of x − 5x + 2x + 20x − 24

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Q: Suppose that 4(g(x))2+5x=7x2 g(x)−58, and that g(−2)=3. Find g′(−2).

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Q: = (x² + y² + z²) −½, then + + 8²v მ2u 8² 8x² მ2 82² If v=

A: v=x2+y2+z2-12 Now,  ∂v∂x=∂x2+y2+z2-12∂x       =∂x2+y2+z2-12∂x2+y2+z2×∂x2+y2+z2∂x…

Q: If f(x) = x³ + x4 + ax³ + 4x² – : 32x + b is divisible by x² – 36, find the values of a and b.

A: We will find out the required values.

Q: 1. What is the coefficient of x²y5 in (2x – 3y)7?

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Q: If x – 2 is a factor of x3- 4x2 + 8x + k then the value of k is

A: Given: x-2 is a factor of x3-4x2+8x+k.

Q: (x) = x² - 2x - 5 8CX=6x-1 N of G

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Q: a) fi(x)= /(3x² + 5x)(1 – x)², b) f2(2) —D 7sen(2л) + 3tan(x — 1)

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Q: If g(x) = V4x + 2x %3D then .? Select one: 12x + 2 g'(x) = V4x3 + 2x None of these 6x + 1 g' (x) =…

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Q: 3 1f y=/xL5x²–3. x_3x²+¥x- 3, X25x²-3 huw that dy 24 ||

A: We have,  y=x4-5x2-36x3-3x2+4x-124

Q: g(x) = 4x-3 and n (x) = 3x -4 %3D then what is g(n(-2))

A: Given g(x) = 4x-3 and h(x) = 3x-4 We have to find gh(-2).

Q: Determine coefficients a and b such that p(x) = ax² + bx + 7 satisfies p(4) = -1 and p(4) = -6. a =…

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Q: For fx) = 2x+ 1 and g(x) = x2 - 7, find (f- g)(x). %3D O A. 2x2 - 15 O B. -x+ 2x- 6 O C. 2 - 2x- 8 O…

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Q: What

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Q: What is the f(7) (-4) of g(x) = 2 205x53x¹ +9x³ +9² +2x+1 ? - 6 O 1/3 0 0 O-4 O 240

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.