7, Determine algebraically if each function is even odd, or neither. a) f(x) = |2x| b) f(x) = (-x)² d) f(x) = 4x° + 3x³ - 1 c) f(x) = x + 4 %3D %3D %3D

Q: 7. Use calculus to find the exact values of the x-coordinates of all points of the graph of f(x) =…

A:

Q: Prove, without graphing, that the graph of the function has at least two x-intercepts in the…

A: Given   y = sin (x3) ....(1)   , (1, 2)

Q: he domain of the function f(x) = Vx+5 is In(3-x) %3D

A:

Q: 21. Find the quadratię function y = ax² + bx + c whose graph passes through the points (-1,0), (1,…

A:

Q: The function f(x) = 2x3 – 42x? + 240x + 1 has derivative f'(x) = 6x² – 84x + 240. f(x) has one local…

A:

Q: Find the absolute maximum and minimum values of the function f(x)-cos²x-3sinx on the interval 0≤x≤7.

A: First I have find the derivative of the given function and set them to zero .Solved them to get the…

Q: IS The function f(x)=\x3 Find The value of K, to continue The Function Con tinuous in intervaln X-2…

A: Answer

Q: 4х+7 (ii) If f(x)={ 1<x<2 determine whether the function f(x) is continuous 14x² -1 2<x<4 throughout…

A: Continuity of the function

Q: (1 point) Suppose f" (x) = –16 sin(4æ) and f' (0) = –4, and f(0) = -1. -1. f(T/2) :

A: Given,f''x = -16sin4xIntegrating on both side with respect to x, we get;f'x = - 64cos4x +…

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A: The function is given by f(x) =-2x3+6x2-3 To evaluate : The point of local maxima or local minima.

Q: Q3 : Use Fixed Point method to find the root of the following function: f(x) = 4x – x + tan-(x)

A: Given function is fx:4x-x3+tan-1x=0. Substitute different values of x to get the interval in which…

Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

A:

Q: Find the absolute maximum and minimum of f(x)=x² - 3x on the interval [-1, 3]. Express your answer…

A: The points of local maximum and minimum can be obtained by differentiating the function and equating…

Q: Example 2: Using the False Position method, find an approximated root of the function: f(x) = x² –…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

A: Given  f(x) = x8-5x4+5x3-1 We have to find the end behavior of the function.

Q: 6. Sketch f(x) and it's reciprocal f (x) = -2x -4 %3D %3D

A:

Q: Which of these is fixed point equation for f(x) = x*+9x²-x-3. O f(x)=x/(x°+2x) O f(x)=(x+3)/(X+2) O…

A:

Q: 5. Use the Intermediate Value Theorem to show that the function f(x) = x³ + x² – 1 has a zero…

A:

Q: 92. Use the definition of the derivative to prove that every quadratic function f(x) = ax² + bx +c…

A: Consider the quadratic function: fx=ax2+bx+c. To show horizontal tangent line is at the point x=-ba.…

Q: 1 Sketch a graph of the function f(x) = 3 sin 5- 4- -87T -7 -6I -5 -47T -37 -27 27T 37T 47T -2- -3…

A: the amplitude of the function is 3 the time period of the function is  2π1/4=8π

Q: 1. Come up with the equation of any function f (x, y) satisfying fx = x + y and fy = x + 3y³

A: The objective is to find the function f(x,y) satisfying fx=x+y and fy=x+3y3 Now take, fx=x+y Now…

Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0&lt;x&lt;2pi solve for f(x)&gt;(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx&gt;2cosx+3 .

Q: A manufacturing company produces two models of an HDTV per week, x units of model A and y units of…

A:

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

A:

Q: 5. Show that the function f (x) has roots between (0,2) x + 2x – 3 f(x) = %3D x – 1

A: Given that: f(x)=x2+2x-3x-1

Q: 9. Given f'(2) does not exist and f"(2) > 0, is x = 2 a maximum, minimum, or neither of f? Explain.

A: Given: x=2f'(2) = does not existf"2&gt;0

Q: If f(x) = etan-¹(x²) then f'(x) at x = 1 is equal to TU 2e4

A: The explanation of answer as follows :

Q: 2 Show that the function f(x) = x-4x + 10x has no relative extreme points. 3X Relative extreme…

A: Given, Function: f(x) = 23x3-4x2+10x Differentiate f(x) with respect to x, we get: f'(x) = df(x)dx…

Q: 6. Find the absolute extrema of the function f (x) = 7x² + 1 on the closed interval [-1,2].

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: Find the value of the constant c such that the function f(x)= (x-2)/( (root 4x+1)-3) if x#2, c if…

A: And

Q: 2. Use the Closed Interval Method to find the absolute/relative extreme values of the function f (x)…

A: Solve the following

Q: 1. How many point(s) of inflection are on the graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x2 -…

A:

Q: 2.7 Given the function f(x) = r²e, Determine the open interval(s) where the functio

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: If f (x) = 3 sin x + 7 and g(x) = 2x – 7, what is the maximum value of f(g(x))?

A: Here given that                          f(x)=3sinx+7             and      g(x)=2x-7 We have to find…

Q: Use the Intermediate Value Theorem to prove that the function has at least one root on the interval…

A: The given function is, The above function is continues on the closed interval [3,10] The value of…

Q: The absolute maximum and absolute minimum for the function f(x) = x² – 16x [0, 9] a on the interval…

A:

Q: 1 - X 0 3

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

Q: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

A:

Q: 4. If f(x) = sin x, show that f(2.x) = 2f(x)f(-x) %3D

A:

Q: Find a and b so that the function = { ax + b, 8x – 8x? + 4, ах + b, х -2 is both continuous and…

A: Continuity at x=-28-23-8-22+4=a-2+b-64-32+4=-2a+b-92=-2a+b→1

Q: Find a point 2o where the function f (2) = (z – 12 – 12i) (z – 12 – 12i)differentiable. What is the…

A:

Q: I want solve it in а раper 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy - 2y = 0

A:

Q: 5. Use the second derivative test to determine whether f(x) has local maximum or local minimum at…

A:

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: 4 3 Find the maximum and minimum values of f(x) = x* + x° – 2 on the interval [- 2, 2].

A: Given that f(x)= x4 + x3 -2 and we find maximum and minimum value in the interval [-2,2]. Here i…

Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

A:

Q: 9. Given the function f(x) 3x*-4x2 +2, use the first and second derivative tests to find: a) the…

A: