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This case one of the set is x is -1 and y is 3 the other pair is x is 1 and y is 75 How do I find the multiplier of the 2 to make an exponential function?
It sounds like you want the form y = A*2^(b*x). Where A and b are constants to be found?
If you plug in the numbers: 3 = A*2^(-b), and then 75 = A*2^b. So take that one and you have A = 75 / (2^b), but 1/(2^b) is the same as 2^(-b), so then we have A = 75*2^(-b). plug this into the first one: 3 = A*2^(-b) which equals (75*2^(-b))*2^(-b). So you have 3/75 = 2^(-2*b). Take reciprocal of both sides: 75/3 = 2^(2*b). And 75/3 is 25. So take square root of both sides: 5 = 2^b. Take log[base2] of both sides: and we have log[base2](5) = b.
What else can I help you with?
What is the difference between a logarithmic function and a natural exponential function?
The exponential function, in the case of the natural exponential is f(x) = ex, where e is approximately 2.71828. The logarithmic function is the inverse of the exponential function. If we're talking about the natural logarithm (LN), then y = LN(x), is the same as sayinig x = ey.
Is y equals 102x exponential?
No, the equation y = 102x is not exponential. An exponential function is of the form y = a * b^x, where a and b are constants. In this case, the equation y = 102x is a linear function, as it represents a straight line with a slope of 102 and no exponential growth or decay.
What is meaning of exponent with variable?
That you have an exponential function. These functions are typical for certain practical problems, such as population growth, or radioactive decay (with a negative exponent in this case).
What is the number that is multiplied by another number to find the product?
"square root" if the two numbers are the same "multiplier" for any case
Is a exponential graph based on un - restricted?
Not necessarily. The domain could well be restricted and, in that case, so will the range.
What is the difference between a logarithmic function and a natural exponential function?
The exponential function, in the case of the natural exponential is f(x) = ex, where e is approximately 2.71828. The logarithmic function is the inverse of the exponential function. If we're talking about the natural logarithm (LN), then y = LN(x), is the same as sayinig x = ey.
Is y equals 102x exponential?
No, the equation y = 102x is not exponential. An exponential function is of the form y = a * b^x, where a and b are constants. In this case, the equation y = 102x is a linear function, as it represents a straight line with a slope of 102 and no exponential growth or decay.
What is meaning of exponent with variable?
That you have an exponential function. These functions are typical for certain practical problems, such as population growth, or radioactive decay (with a negative exponent in this case).
In a medical experiment the number of bacteria is halved every hour. What type of function represents this pattern?
An exponential function represents this pattern, since each hour the bacteria population is being multiplied by the same factor (0.5 in this case). The general form of the function would be: B(t) = B0 * (0.5)^t, where B(t) is the number of bacteria at time t and B0 is the initial number of bacteria.
How do linear and exponential functions change over equal intervals?
The linear function changes by an amount which is directly proportional to the size of the interval. The exponential changes by an amount which is proportional to the area underneath the curve. In the latter case, the change is approximately equal to the size of the interval multiplied by the average value of the function over the interval.
How do you the original price?
The answer depends on what information you do have. If you have the price AFTER the change, and a multiplier based on the percentage change, then original price = final price/multiplier. For a change of x%, the multiplier is (1+x/100). In the case of a % decrease, x is negative.
What is the decimal multiplier to decrease by 78?
No such multiplier is possible.78 decreased by 78 is 0, so the decimal multiplier would to be 0. 156 decreased by 78 is 78 so the multiplier is 0.5. 1000000 decreased by 78 is 999922 so the multiplier is 0.999922 and so on. A different multiplier in each case.
Is the arm lever a distance multiplier or a force multiplier?
The arm lever is a force multiplier. In a lever system, the input force is applied over a longer distance than the output force, resulting in an increase in the output force at the expense of a decreased distance. This allows for the amplification of force to overcome resistance or lift heavy loads with less effort.
What is ment by exponential growth?
Growth whose rate becomes ever more rapid in proportion to the growing total number or sizeExponential growth occurs when the growth rate of the value of a mathematical function is proportional to the function's current value. Exponential decay occurs in the same way when the growth rate is negative. In the case of a discrete domain of definition with equal intervals it is also called geometric growth or geometric decay (the function values form a geometric progression).
What is the fundamental for finding derivatives of a function?
Not quite sure what you mean with "the fundamental"; I assume you want to know how to do it. You basically need to either memorize or look up the different formulae for finding derivatives - such as the formula for a power (variable in the base), for an exponential function (variable in the exponent), for a sine, for a product, etc. - and apply them to a particular case.
How to identify a 470 ohm resistor?
Resistors are color coded to denote the value of the resistor as well as the multiplier. In your case a 470 ohm would be colored as Yellow Violet Brown corresponding to 4, 7 and a multiplier of 10^1.
What is the number that is multiplied by another number to find the product?
"square root" if the two numbers are the same "multiplier" for any case
