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What is the derivative of 3x?
Let y = 3x y' = 3(x)' y' = 3(x1)' y' = 3[1x(1-1)] y' = 3(1x0) y' = 3(1 x 1) y' = 3 In general: y = xn y' nx(n-1)
Matrix inverse method ------ x1 x2 x33000 -x1 5x2-x30 2x1-3x30?
inverse matrix. x1+x2+x3=3,000 -x1+5x2=0 2x1-3x3=0.
X plus one over x squared plus two?
it equals x1 it equals x1
What is the definition of a point-slope form?
point slope form is y-y1=m(x-x1). x1 and y1 are both points and m is the slope.
State and prove Fundamental theorem of integral calculus?
This part is sometimes referred to as the First Fundamental Theorem of Calculus.Let f be a continuous real-valued function defined on a closed interval [a, b]. Let F be the function defined, for all x in [a, b], byThen, F is continuous on [a, b], differentiable on the open interval (a, b), andfor all x in (a, b).ProofFor a given f(t), define the function F(x) asFor any two numbers x1 and x1 + Δx in [a, b], we haveandSubtracting the two equations givesIt can be shown that (The sum of the areas of two adjacent regions is equal to the area of both regions combined.)Manipulating this equation givesSubstituting the above into (1) results inAccording to the mean value theorem for integration, there exists a c in [x1, x1 + Δx] such thatSubstituting the above into (2) we getDividing both sides by Δx gives Notice that the expression on the left side of the equation is Newton's difference quotient for F at x1.Take the limit as Δx → 0 on both sides of the equation.The expression on the left side of the equation is the definition of the derivative of F at x1.To find the other limit, we will use the squeeze theorem. The number c is in the interval [x1, x1 + Δx], so x1 ≤ c ≤ x1 + Δx.Also, andTherefore, according to the squeeze theorem,Substituting into (3), we getThe function f is continuous at c, so the limit can be taken inside the function. Therefore, we get which completes the proof.
How do you simplify 3x-4x plus 9x-x?
Right, 3x-4x+9x-x1. 3x - x = 2x2. 9x-4x = 5x- 2x +5x = 7x
How do you solve for slope from two points and a graph?
Points: (x1, y1) and (x2, y2) Slope: y1-y2/x1-x2
What is 3x times x squared?
(3x)(x2) = 3x3.Think of this as (3x1)(1x2). First multiply the numbers: (3)(1) = 3. next multiply the variables: (x1)(x2) = x1+2 = x3 (when you multiply powers with the same base, add the exponents)
What is the equation of a line that passes through (78) and has a slope of -3?
81
How do you solve a cubic?
Although there are formal methods, the simplest is to see if the cubic can be factorised. If so, you'll have a linear factor and a quadratic, both of which are easy to solve. Alternatively, you could try solving it graphically. Another possibility is to solve it numerically. The derivative of a cubic, of the form f(x) = ax3 + bx2 + cx + d is f'(x) = 3ax2 + 2bx + c. Make an initial estimate x1. An improved estimate is x2 = x1 - f(x1)/f'(x1). Use x2 to make next estimate, and so on.
Explain how do you write an equation of a line in standard form when two points on the line are given?
Th e two points are X1,Y1 and X2, Y2 slope, m, is y2-y1 divided by x2-x1 then standard form is y = mx +b plug in y2 for y and x2 for x and solve b or plug in y1 for y and x1 for x and solve b
How do you differentiate y equals 6 sqrtx minus 3x?
y = 6*x1/2 - 3x dy/dx = 6*(1/2)*x-1/2 - 3 = 3x-1/2 - 3 = 3/sqrt(x) - 3 or 3[1/sqrt(x) - 1]
What are the Pokemon types of the elite 4 in Pokemon pearl?
Aaron Poison/Bug x1 Bug/Fighting x1 Bug/Flying x2 Poison/Dark x1 Bertha Water/Ground x2 Ground x1 Rock x1 Rock/Ground x1 Flint Fire x1 Fire/Fighting x1 Steel/Ground x1 Normal x1 Ghost/Flying x1 Lucian Psychic x2 Normal/Psychic x1 Fight/Psychic x1 Steel/Psychic x1 Cynthia Ghost/Dark x1 Dragon/Ground x1 Water/Ground x1 Water x1 Grass/Poison x1 Steel/Fighting x1
How do you find a gradient of a line without a graph?
Select two values of x: (x1 and x2) within the domain. Solve the equation of the line to find the corresponding values for y: (y1 and y2). Then the gradient = (y1 - y2) / (x1 - x2)
What are the coordinates of the y-intercept of the line represented by the equation 3x-4y equals 40?
3x-4y=40 (x=0) 3(0)-4y=40 -4y=40 y=40/-4 y=-10 x1 , y1 (13 , -10) (4y=0) 3x-4(0)=40 3x=40 x=40/3 x=13.33 or 13
What is the equation of the line that passes through 6 5 and -3 -1?
Point-Slope formula: y - y1=m(x - x1) y = 2/3x + 1
Can you fix or rate my dragon deck?
decklist monsters:21 blue eyes white dragon x3 chaos necromancer x1 masked dragon x1 armed dragon lvl3 x2 armed dragon lvl5 x2 armed dragon lvl7 x1 armed dragon lvl10 x1 the dragon dwelling in the cave x1 flamvell guard x1 lord of d x1 vangaurd of the dragon x1 the white stone of legend x1 kaiser sea horse x1 montage dragon x1 mirage dragon x1 tyrant dragon x1 blue eyes shining dragon x1 spell cards:15 flute of summoning dragon x1 polermyzation x2 monster reborn x1 magical mallet x1 stamping destruction x2 dragons mirror x1 deifferent dimension capsule x2 dark hole x1 future fusion x1 white dragon ritual x1 swords of revealing light x1 mystical space typhoon x1 traps:10 dragons rage x1 waboku x1 enchanted javelin x1 judgment of Anubis x1 call of the haunted x1 acid trap hole x1 hidden book of spell x1 raigeki break x1 curse of Anubis x1 self destruction button x1 (hoping i wont need that anymore) extra deck:2 paladin of white dragon x1 blue eyes ultimate dragon x1
