Used to determine the distance between two points (*11) and (*, V2) d= V(*-*)2 +(2 -1)2 and (X2 d%3D What is the distance between (-5, 3) and (-2, -3)?

Q: Fina h(-2_ for h(r)=r^2

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Q: f (x) - 322 + %3D 2/3

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Q: 3х -5х+1 5. H(х) %3 x*- 4х H'(x)==2 -7х-2х+4 (x²-4x) %3D

A: Quotient Rule where u' = du/dx

Q: P(X)=x^(3)-4x^(2)-8,P(2)

A: given that  p(x) = x3-4x2-8 then  P(2)=?

Q: differentiate (1/2)(r^(-1/2))+(1/7)(r^(-6/7))

A: Given Information:  The expression: 12r-12+17r-67

Q: The area A of a triangle with two sides of equal length a is given by A = /P(P- a)²(P – b) where b…

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Q: y=-2log_(2)(x+3)-1 Plot at least four points that fit on.

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Q: Ģ ={(-2,-9),(4,9), (5,-6),8,A)} hx) = 3>c-14 %3D

A: Given that: g={(-2, -9), (4, 9), (5, -6), (8, 4)}h(x)=3x-14

Q: Find the area of the region bounded by f(x)=-x^2+6x-5, the x axis, and the lines x=2 and x=5. Graph…

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Q: f(t)=4t^2-3  Find the Left endpoint  Right endpoint

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Q: h = (-6x³ + 9xª + 5x7) (7 + 5x – 4x?). Then h= fgwhere %3D f = and g = Using the product rule h'(x)…

A: differentiate this with product rule.

Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

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

A: Question is solved.

Q: Distance between (9x,-11x)and(4x,x)

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Q: Choose the point that corresponds to t=-1 when x=t^2-4 and y=t+1/t (-3, 0) (-3, -2) (3, 2) (-5,…

A: Given,x=t2-4andy=t+1tat t=-1x=-12-4x=1-4x=-3andy=-1+1-1y=-1-1y=-2

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.