Answer:
Step-by-step explanation:
GIven that ,
Dividend is greater than Divisor by 642.
Therfore , let,
Dividend = x + 642.
Divisor = x
Quotient = 8
Remainder = 19.
We know that, Dividend = Divisor × Quotient + Remainder.
Therefore, x+642 + X.8 + 19.
X + 642 = 8X + 19.
642 - 19 = 8X - X
7X = 623
X = 623/7
X = 89.
Therefore, Divisor = 89
Dividend = X+642=731.
Break the number within the radical symbol into 2 numbers: another number and a perfect square (when multiplied, they get the original number).
An example would be 48. The square root of 48 can be evaluated by breaking apart 48 into 16 (a perfect square) and 3 (another number). The square root of 16 is 4, so you take this number out of the radical symbol. Leave 3 within the symbol as it cannot be further reduced.
√48 = 4 √3.
y = 7x - 3
Note the gradient of the tangent is the derivative of y at x = 1
Differentiate using the power rule
(a
) = na
y = 3x³ - x² + 2
= 9x² - 2x
x = 1 : = 9 - 2 = 7 ← gradient of tangent
equation in point- slope form, using m = 7 and (a, b) = (1, 4)
y - 4 = 7(x - 1) ← point-slope form
y - 4 = 7x - 7
y = 7x - 3 ← in slope-intercept form
