Show that: >" (x; – x)(Vi – y) = Li x;(Vi – 7) = 2 y:(x; – x) – y) li=1 li=1 in XiYi – n(xy) li=1 Ξ

Q: The formula for a function y= f(x) and the graphs of f and f' are given. Find a formula for f-1 y=…

A: Given function is f(x)= x^7 +2

Q: If f(x) = x2, find [f(x2) - f(x1)]/(x2 - x1), where x1 = 1 and x2 = 4.

A:

Q: Find g'(x) if g(x) = 4x e 3x g'(x) =

A:

Q: Find f(x).

A: Given,

Q: If h ( x ) = 3 x 2 − 2 x, then find h (5).

A: Let there is a function fx to find the value fa we need to substitute x=a in the expression.…

Q: (3)f(x) = x – [x]; 0x=5 (i) x=

A: Greatest integer function:  A function that results  in the greatest integer less than or equal to…

Q: GIVEN: The function, f(x) = (2x+ 7a)(x – a)², where a>0 and a constant. Find f'(x) in FACTORED FORM…

A: This question is related to derivative.

Q: Given that 7g(x) – 3x sin(g(x)) = 5x? + 7x – 24 and g() = 0, find g (). I(}) =

A:

Q: If f(x) = 18x2 + 96 3 ³√√x' find f'(8).

A: Given Function:- fx=18x23+96x3

Q: 16) Find (f • g)(x) for f (x) = 4x³ – 5 and g(x) = 2x. %3D -

A:

Q: b) Is f x(x² + 1)dx = ( + x) + C true or false? show me

A:

Q: Find f (x). f(x) = 2 In (1 + 7x?) f(x) = %3D

A: f(x)=2ln(1+x2 ) Differentiating w.r.t x both sides, we have f'(x)=2ddx (ln(1+x2))…

Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: MacB = (x),ƒ o (1)fp хр = (x),f o %3D (x)fp = (x),f O %3D xp = (x),f o = sin x, which of the…

A: To find the correct option.

Q: Find h'(x) given h(x) = 6x√√x. 3 O ○ 6x² 09√x 6x7 6+x7² None of these

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Q: 3. V4- (x – 3)²dx.

A:

Q: Use the quotient rule to show the following: If n is a negative integer, and g(x) = x" then g' (x) =…

A: Solving by Quotient rule we can get

Q: Given that g(x) + 7x sin(g(x)) = 48x² − 26x — 35 and g(— §) = 0, find g’(− §). g ( − § ) = =

A:

Q: Find [9f(x) – g(x)]dx = i if f(x)dx = 2 and g(x)dx = 30

A:

Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…

A:

Q: .1 S S, x(x² + y²)²/3dydx

A:

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.