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a-b=-2

a+b+10

solves simultaneusly

a=4

b=6

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Q: The function f is such that fxa-bcosx for 0x360 where a and b are positive constants The maximum value of fx is 10 and the minimum value is -2 Find the values of a and b?
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How do you find the minimum or maximum of a function?

By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.


What does it mean for a function when the graph of the derivative crosses the x-axis?

This means that the function has reached a local maximum or minimum. Since the graph of the derivative crosses the x-axis, then this means the derivative is zero at the point of intersection. When a derivative is equal to zero then the function has reached a "flat" spot for that instant. If the graph of the derivative crosses from positive x to negative x, then this indicates a local maximum. Likewise, if the graph of the derivative crosses from negative x to positive x then this indicates a local minimum.


How do you tell if a quadratic function is minimum value or a maximum vale?

Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.


When a feasible region is bounded on all sides where will the maximum and minimum values of the objective function occur?

Surely, you should check the value of the function at the boundaries of the region first. Rest depends on what the function is.


Do every polynomial function has at least one complex zero?

No. Complex zeros always come in conjugate pairs. So if a+bi is one zero, then a-bi is also a zero.The fundamental theorem of algebra says"Every polynomial equation of degree n with complex coefficients has n roots in the complex numbers."If you want to know how many complex root a given polynomial has, you might consider finding out how many real roots it has. This can be done with Descartes Rules of signsThe maximum number of positive real roots can be found by counting the number of sign changes in f(x). The actual number of positive real roots may be the maximum, or the maximum decreased by a multiple of two.The maximum number of negative real roots can be found by counting the number of sign changes in f(-x). The actual number of negative real roots may be the maximum, or the maximum decreased by a multiple of two.Complex roots always come in pairs. That's why the number of positive or number of negative roots must decrease by two. Using the two rules for positive and negative signs along with the fact that complex roots come in pairs, you can determine the number of complex roots.

Related questions

How do you determine if the graph of a quadratic function has a min or max from its equation?

If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value


What is maximum or minimum of function?

Addition is the maximum or minimum function in math.


How do you find the minimum or maximum of a function?

By taking the derivative of the function. At the maximum or minimum of a function, the derivative is zero, or doesn't exist. And end-point of the domain where the function is defined may also be a maximum or minimum.


If an inductive circuit how many time constants does it take for current to reach its maximum value?

5 Time constants 1T 63.2% 2T 86.4% 3T 94.9% 4T 98.1% 5T 100%


What is the maximum and minimum of quadratic function parent function?

The minimum is the vertex which in this case is 0,0 or the origin. There isn't a maximum.....


What does it mean for a function when the graph of the derivative crosses the x-axis?

This means that the function has reached a local maximum or minimum. Since the graph of the derivative crosses the x-axis, then this means the derivative is zero at the point of intersection. When a derivative is equal to zero then the function has reached a "flat" spot for that instant. If the graph of the derivative crosses from positive x to negative x, then this indicates a local maximum. Likewise, if the graph of the derivative crosses from negative x to positive x then this indicates a local minimum.


How do you tell if a quadratic function is minimum value or a maximum vale?

Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.


What is the maximum and minimum of positive integers?

minimum is '0' and maximum cannot be defined


How do you determine the relative minimum and relative maximum values of functions and the intervals on which functions are decreasing or increasing?

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What function is used to determine highest number in a range?

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How do you find maximum revenue using quadratic equations?

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What is the maximum value that the graph of ycosx assume?

Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.