45. Let f(x) = e¯* and T3(x) = 1- x + Use the error bound to show that for all x > 0, x4 If (x) – T3(x)| < 24 If you have a GU, illustrate this inequality by plotting y = f (x) – T3(x) and y = x*/24 together over [0, 1].

Q: h(띠)= Jo 2+t+2 h(피) t2 +t+2 2)

A:

Q: On a map, 4 cm represents 2.5 km. If the distance between town A and town B on the map is 6.4 cm,…

A: The Scale of a Map: Ratio between the distance on the paper and the actual distance on the ground is…

Q: 5. State the direction of opening of the function g(x)= 3x²-x4 - 4

A:

Q: 5. Let f(x) = x-3x73. Use calculus to determine the critical numbers for the function.

A: Consider the  provided function, fx=x-3x23 Find the critical point of the critical point. Find the…

Q: 4) Write the following functions in vertex form. 2 a) P(x) = x 2x - 7 b) P(x) = - - x² + 6x + 2

A:

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: 5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x -4 ontinuous for all values of x. What…

A: solution:-f(x)=4x3+17x2+13x+36x+4     x&lt;-45x2+2x+a                       x≥-4f(x) is continuous…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: The absolute maximum of f(x) = -2x + 5x215 on [-1, 1] is Select one: а. 3 О Б. 30 С. 1 O d. 7

A: fx=-2x+5x25  differentiating both sides f'x=ddx(-2x+5x25)  f'x=-2+525x-35  f'x=-2+2x-35

Q: 119. If f(x) = a*, show that f(A + B) = f(A) • f(B).

A: Given: fx=ax For finding fA+B, we put x=A+B in given expression and simplify it

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: 1 show that f (-2) = f(2). 4 If ƒ(x) = x" 4

A:

Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

A:

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: Find a,b to continue the function at x=3 if: x > 3) x = 3 x < f(x) = ax + b 2ab + 1 bx - a +3 3)

A:

Q: 7. Consider the functions f(x) = 2x² - 7x + 4 and g(x) = -7x + 5. a) Find f(-1). b) When does g(x) =…

A: Function is f(x)= 2x2-7x + 4 .............(i) We've to find the Value of f(-1) Put the Value of x=…

Q: 3. Let f(x) = { ,x<2 ax + b, x22 Find a and b so that f (2) exists.

A: To find the value of a and b

Q: 4. Graph the piecewise function 3 if -1 2

A:

Q: 25. Let f(x) = 5x² + 1. Evaluate and simplify each of the following: f(4)-f(1) 4-1 (A) (Bu PC (B)…

A: Given function is we have to evaluate the following  and simplify them

Q: ƒ(6) = -tan(x + ²) where -n ≤0 ≤n?

A: we need to graph the function   where explanation and graph in step 2

Q: Q1.. Find domain and range for following functions: (2 20 a) y = {1x<0 {² D f(x) + D g(x) = D(f(x) +…

A: