2. Compute L4, R₁ and T₁ for the function f(x) = 2 on interval [1, 2]. Verify result from question 1. is true.

Q: Refer to the figure to determine f'(a) for a = 1, 2, 6, 8. y 5- 4 3+ 2- 1- 1 2 3 4 5 6 7 8 9 (Give…

A:

Q: Use ƒ' and ƒ" to complete parts (a) and (b).a. Find the intervals on which ƒ is increasing and the…

A: f(x)=xx+9 To find: (a) The intervals on which f is increasing and the intervals on which it is…

Q: Determines the speed at which the two cars approach or move away from each other 0.5 hours later.…

A: The distance function d between two cars is given, we have to find at time t = 0.5 whether the car…

Q: find the absolute extrema of the function f(x) = x^2 - 6x on the intervals [- 1,6], (3,7], (0, 6),…

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Q: Determine if = f(x)=Vxis uniformly continous on the interval I [0, +)

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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: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: 1) Consider the function f(x): = 5x² - 4x +7 Find a number c in the domain such that f (c) = defined…

A: Given: fx=5x2-4x+7 for x∈1, 4 To be find c∈1, 4 such that fc=13∫14fxdx Integral of ∫xndx is given by…

Q: For the function f(x) =-X find f"(X), f"(0), f’"(1), and f"(- 1). "(X) = O I7

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Q: 5. Ôx (@) = ¢x (- w), if X is symmetric function.

A:

Q: 3 Let f(x)= x³ - 2x+: Calculate by definition f'(1). X

A: given function to find the derivative

Q: (-) = { 2*. x 2 Find the values of a and b so that f will be differentiable at x = 2.

A: Given function is fx=7x2        ,x≤2ax+b    ,x&gt;2. By continuity, 722=a2+b74=2a+b2a+b=28     ...1…

Q: 4. If /(r.y)=- , find f, and f,. V+y

A:

Q: Can you specify how you got the F=(y-x, x, y+x) on step 2?

A: The vector field F =(y-x, x , y+x) is given .

Q: 17. S(p) = /p - p %3D

A:

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

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Q: The function(x)= is concave down on which interval?

A: Given: f(x)=1x2+1

Q: The line normal to the graph of f at the point (1,2) passes through the point (-1,1).  Which of the…

A: Topic = Functions

Q: How.L Find minima, bmakima and Saddle paints for the functionss foxy) -9x -4 xy 3- %3D f Cx,y) = 2…

A: (3) the given function is fx,y=9x3+y33-4xy Now we have to find ∂f∂x,∂f∂y,∂2f∂x2,∂2f∂y2 and ∂2f∂x∂y

Q: Let f(x) = ²³ d. Find the value of ƒ¹ (2) af(x) 0 24 4 -8 -4 -24 12 -12 8

A:

Q: Let f(x, y) ƒ(2, 1) = = 150 - 2x² - 4y2. Evaluate f(2, 1). Give answer in exact form. 138

A: given  f(x,y)=150-2x2-4y2for  f(2,1) , put x=2  and y=1 in f(x,y)

Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O…

A: Given fx is continuous between a and b

Q: Let f (x) = vr +2² + 2 , ro = 1, h = 0.5, r1 using the Three-Point formulas to approximate f(1) (1);…

A: Given: The given fx=x3+x2+2, x0=1,h=0.5,x1=1.5 and x2=2

Q: For what value of the Constant c is the function F defined below continuous on (-00,00)? Fly= { Y²-C…

A: A function,

Q: 7. Show that if f is a function of r only, then 0²ƒ(r) = f'(r) + ²ƒ'(r)

A: The given data is: Show that if f is a function of r only, then ∇2fr=f''r+2rf'r