Q: How will you know if a function increases and decreases and how will you locate the maximum and…
A: Let y = f(x) be any function given
Q: Use a graphing utility to approximate the relative minimum of the function f(x) = 3x2 − 4x − 2.
A:
Q: Sketch the curve: f(x) = x* – 6x²
A: given function f(x)=x4-6x2we have to sketch the curve put the value of x=-2 , we get f(-2)=-8 put…
Q: What is the maximum point on the curve = 2 + 12? − x3
A: Maxima minima problem
Q: Find the relative maximum point of the curve: Y=16x+4x2-x4
A: Solution of question as follows
Q: Find the absolute maximum value of the function f(x) = (x - *).
A:
Q: The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately…
A:
Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…
A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…
Q: Suppose f'(x) =x++x3 – 6x². Determine the value of x where f has a relative maximum value.
A:
Q: The annual revenue and cost functions for a manufacturer of precision gauges are approximately…
A:
Q: Differentiate the function using quotient rule. 3x y = 2х + x2
A:
Q: What is the x-component of the minimum point of the function in the picture?
A: Given z=x2+xy+y2-y ∂z∂x=2x+y On putting, ∂z∂x=0 ⇒2x+y=0 ---> eqn(1) Now, ∂z∂y=x+2y-1 On…
Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to
A: Given, the function f(x)=x8+4x3-7x+13
Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)
A: f is concave up when f''(x) is greater than 0
Q: Use the Leading Coefficient Test to determine the end behavior of the graph of f(x) = x* – 4x?.
A: To Determine: use the leading coefficient test to determine the end behaviour of the graph of f(x).…
Q: The path of a baseball after being hit is modeled by f(x) = −0.0032x2 + x + 3, where f(x) is the…
A: We have, the path of a baseball after being hit is modelled by the function given as…
Q: y = x42x³
A:
Q: solve using limits f(x) = x^2 + 2x - 3, at f(x) = -4
A: The given function is f(x)=x2+2x-3 at x = -4
Q: Use the function’s equation, f(x) = -x2 + 14x - 106 and not its graph, to find; a. the minimum or…
A: we have been given f(x) = -x2 + 14x - 106 we have to tell the minimum and maximum value . also we…
Q: Suppose a cannon is placed at the origin and elevated at an angle of 60 degrees. If the cannonball…
A:
Q: Find the function P(x) of a company selling x items is given by P(x)=x³+9x²-15x+13 where x…
A: The function P(x) of a company selling x items is Px=x3+9x2-15x+13
Q: List the intervals of increasing and decreasing for f(x)=10x²–37x +189. List all local maximums and…
A:
Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…
A:
Q: The product-exchange function for gasoline x and heating oil y, in hundreds of gallons per day, is…
A: From the given information:The product exchange function for gasoline x and heating oil y is:
Q: A function has a y-intercept of 2 and is increasing for values of the domain greater than 4. Which…
A:
Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…
A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…
Q: A manufacturer determines that the cost in dollars for making "x" calculoodles is C(x) = 1800 + 25x…
A:
Q: Find the maximum value of ƒ(x, y) = 49 - x2 - y2 on the line x + 3y = 10.
A:
Q: Given: y = 2x3 – 6x + 2 i. Determine its relative maximum point. ii. Determine its inflection point.
A:
Q: Find the point on the graph of the line f(x)=3x+4 that is closest to the point (6,3) x= y=
A:
Q: 3x y = 2х + x2
A: The given function is y=3x2x+x2 quotient rule: fg'=f'·g-g'·fg2
Q: Find the location of the absolute maximum and absolute minimum of the function on the interval [ -…
A:
Q: Suppose f'(x) =x++x3– 6x². Determine the value of x where f has a relative maximum value.
A:
Q: The profit in dollars from the sale of x thousand compact disc player is P(x)=x3-7x22x+8. Find the…
A:
Q: What is the minimum of f (x) = (x + 3)2 − 4?
A:
Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.
A:
Q: Find and label as minimum or maximum the stationary points for: f(x)-x -20х+105
A: We will solve the problem
Q: Sketch the curve. Show your solutions. f(x) = x4 - 6x2
A: Consider the given: fx=x4−6x2Apply exponent rule: ab+c=abacfx=x2x2−6x2Factor out common term…
Q: Find a formula for the linear function with slope −3 and x-intercept 2.
A: Refer to the question.For the linear function with slope −3 and x-intercept 2, use the slope…
Q: Find the absolute maximum value of y-81-x on the interval [-9, 9].
A:
Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…
A: Given equation is m(x)=2x2-7x+9 We have to find the absolute maximum and minimum of the given…
Q: Find a linear function that approximate f(x) : 27. = x 3 near x =
A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…
Q: Find the absolute maximum value and the absolute minimum value f(x) = x/(64+x^2)
A: We find the critical points first. For that we need f'(x).
Q: ) Sketch the curve: f(x) = x* – 6x²
A: Given function is fx=x4-6x2
Q: 4. Using at 7 points, graph the function f(x)=2x 10-
A: First we find out the values of y at the different point of x and then make the graph.
Q: The absolute maximum value of the function y = 4x5 - 10x2 – 8 on the interval [-2, 2] is
A: Given: y = 4x5 - 10x2 – 8 intervals [-2, 2] to…
Q: Find the maximum and minimum limits of the function X-2 (x + 2)²
A: Explanation of the answer is as follows
Q: Explain the Functions that are Nonlinear in the Parameters with example?
A:
Q: Determine the vertex of the function f(x)= lx-1l -1 How do I solve this?
A:
Q: The path of a diver is modeled by f(x) = - :-x² +24x+9 where f(x) is the height (in feet) and x is…
A:
0 or -3?
Step by step
Solved in 2 steps with 2 images
- Explain how the First Derivative Test determines whetherƒ(x) = x2 has a local maximum or local minimum at the critical point x = 0.How do I solve the derivative for x to find the critical points and identify the absolute minimum and maximum?use first and second derivative principle to determine the level of output (in thousand) at which the firm's cost is minimized TC(x) = 2x3 - 66x2 + 576x + 1000
- the value of x at which the FOC is satisfied give us the ........(maximum/minimum) of the function because the second derivative is ..........(positive/negative).Use the graph of the first derivative function f'(x) to find x values at which function has relative minimum and relative maximum.How to take the partial derivative of f(x,y)
- Explain how to find a first partial derivative of a function oftwo variables.An orchard has an average yield of 36 bushels of apples/tree if the density is 22 trees/acre. For each unit increase in tree density, the yield decreases by 2 bushels/tree. How many trees per acre should be planted in order to maximize the total yield? Justify your answer using the extreme value theorem or global first or second derivative test.Find the critical points, use the second derivative test, and determine the relative maximum and minimum for each critical point found. y = 6√x - x