I cant see all the question but this is how you find the derivative of your function using the product rule.
Here you use the extension of the product rule to 3 factors which we'll write as:-
f(x), g(x) and h(x):-
Derivative = f'(x) g(x) h(x) + f(x) g'(x) h(x) + f(x) g(x) h'(x)
(3x - 1)(x + 4)(2x - 1)
derivative = 3(x + 4)(2x - 1) + (3x + 1)(1)(2x - 1) + (3x - 1)(x + 4)(2)
= 3(x + 4)(2x - 1) + (3x + 1)(2x - 1) + 2(3x - 1)(x + 4)
Answer:
a) 236/100 = 2.36
b) 101/100 = 1.01
c) 814/100 = 8.14
Step-by-step explanation:
The divisor in each case is already a factor of 100, so multiply the numerator and denominator by the number that will make the denominator 100. Then add 100 times the integer to the numerator of the fraction.
a) 2 9/25 = (200 +9·4)/(25·4) = 236/100 = 2.36
b) 1 1/100 = (100 +1)/100 = 101/100 = 1.01
c) 8 7/50 = (800 +7·2)/(50·2) = 814/100 = 8.14
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Since each of these fractions has a denominator of 100, the decimal can be written by putting the least significant digit of the numerator in the hundredths place of the decimal number.
For example, for 236/100, putting 6 in the hundredths place puts 3 in the tenths place and 2 in the units place for a decimal number of 2.36.
Increase the height so that the slant height triples.
For example:
Say that lateral height is 2 and the radius is 1. The lateral surface area would be 6.28
if I make the lateral height 6, which is triple the original lateral height, the lateral surface area becomes 18.84, which is triple the original surface area
Hope I help :P
Answer:
A)
Step-by-step explanation:
length = x +x + 2 = 2x + 2
Width = 2+ x
Area of rectangle = length *width
(x +2)(2x + 2) = 110
Use FOIL method
x*2x + x*2 + 2*2x + 2*2 = 110
2x² + <u>2x + 4x</u> + <u>4 - 110</u> = 0 {Combine like terms}
2x² +6x - 106 = 0
a = 2 ; b = 6 ; c = -106
b² - 4ac = 6² - 4*2*(-106)
= 36 + 848
= 884
x = 5.93 m
