Po+P,=P,+P, Р25,000 (1+0.050625)' P75,000 1+0.050625 F Р50,000+- 1+0.050625)

Q: Find the area (in square units) of the region under the graph of the function f on the interval [-4,…

A: To find the area under the graph of f(x) on the interval [-4,3]

Q: sinh x 1+ cosh x

A: sinh x1+cosh x

Q: First Derivative Error f'(x) =: 2h -f(x)+8f(x,)-8f(x,-) + f(x,-2) 12h f'(x) = Second Derivative…

A:

Q: limit.

A:

Q: Mean Value Theorem | Suppose two cars start a race at the same time and end it at the same time.…

A: Mean Value Theorem: Let fx be a continuous over the interval a,b and differentiable over interval…

Q: Va + sin x - Va - sin x lim- -Do not use L'Hospital's Rule a=7,7

A:

Q: mental Theorem of Calculus to fin

A:

Q: First Derivative Error f(x+1) - f(x;-1) 2h f'(x) = O(h) -f(x;+2) + 8ƒ (x;-1) – 8ƒ(x;-1) + f (x;-2)…

A:

Q: lim cot(z) %3D - 10 -1 0 3 0

A:

Q: Limit tant sec 2t 3t

A:

Q: The function f(x) = vx – 2 + V4 – x is – increasing on (-∞, 3) and decreasing on (3, 0) decreasing…

A:

Q: USING GRAPHPAD PRISM: The transformation rate  you observed in a treated group of 1036 yeast…

A: Given : Sample size for treated group (n1)=1036Sample proportion for treated group (p^1)=0.00193…

Q: algebrail dosure OF F. Then th

A:

Q: SIn (-x) In x if x 0

A:

Q: tion to the differe where k is

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval [−6,…

A: Now the diagrammatic representation of the area is,

Q: 1+tanh² x 1-tanh² x

A: Hyperbolic function

Q: From algebraic form of function ez, prove that  |ez| = ex

A:

Q: 1+tanx 2. If f(x) find f'(x) 1-tanx

A:

Q: base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1]. Vertical…

A: We have to find the area of the triangle.

Q: lim tan 2x tan ax

A: Given that,limx→0tan2xx

Q: en the graph of the function and the x-axis over the given interval, using the prem of Calculus – 2…

A:

Q: ye 2

A: Given a function fx,y=ye-1x2y2+e-2x2 Now we need to find limx,y→0,0fx,y

Q: Find the area (in square units) of the region under the graph of the function f on the interval [−2,…

A: We need to find the area under the region of the given curve by using the Fundamental theorem of…

Q: Power Series 2 f(x) = x³ +9x² - 10x + 2 about x = 3

A:

Q: 1-tanx If f(x) = then find f' -). %3D 1+tanx

A: We can make it easier for you

Q: A right triangle has one vertex on the graph of y = x, x>0, at (x, y), another at the origin, and…

A:

Q: Continuous everywhere

A: The following are theorems, which you should have seen proved, and should perhaps prove yourself:…

Q: 4- to --6 -5 -4 -3 -2 -1 5- ver which interval of z values is f'> 0? о (2, о) O 12, 0) 0(- 00, 2)…

A:

Q: nat value of th

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Q: ing f(x) 2- -1 4 f(0) = f(x) = 0, x = %3D f(0) f-(x) = 0, æ = nut 2)

A: Please see the explanation below

Q: Green's theorem

A: Consider the given integral, According to the Green's Theorem, So the given expression can be…

Q: Series to Bind use lim Xe² 1- Cos 2X

A:

Q: lim Sinh(x) -X L'Hospitals rule

A: Given:        limx→0sinhx-xx3 L'Hospital rule:    If limx→af(x)=0 and limx→ag(x)=0 then…

Q: QI/Solve by mean value theorem 1- F(x)=x² In the interval [1,-1] 2-F(x)=coshx In the interval [-1,3]…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 1 (iv) f(x) on [-}, 1]. x* + x + 1 x + 1 (v) f(x) on [-1, }). x? + 1 (vi) f(x) on [0, 5]. x? - 1

A: Given: (iv) f(x)=1x5+x+1, -12, 1 (v) f(x)=x+1x2+1, -1, 12 (vi) f(x)=xx2-1, 0, 5 To find: Maximum and…

Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

A:

Q: cos(x (*). cos(x + h) – cos x cos h – 1 sin h - - sin x · h COS x h h

A: Require to verify the identity cosx+h-cosxh=cosxcosh-1h-sinxsinhh

Q: 2x x +2 Critical numbers Numerator 2x = 0 x = - Denominator x + 2 = 0 Complete the Sign Table…

A: This is a question to verify the critical point of an inequality.

Q: cos2r – sin2x cos2x For -dr=-F(x)+C What is F(x)? cosx – sinx 3 2 sinx + -cos'x+ cosx+ =sin³x 3 3 2…

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval [−7,…

A: The graphical representation of the area is,

Q: Problem : Find the derivative of the series 2x 4x2 8z 16z4 32z5 f(x)=1+ 1! Also show that 2! 3! 4!…

A: To find the derivative of the following series.fx=1+2x1!+4x22!+8x33!+16x44!+32x55!+...Also to show…

Q: Find the area of the region under the graph of the function f on the interval [5, 11], using the…

A: We have given a function; f(x) = 9 Antiderivative of this function will be; F(x)=9x Now we know the…

Q: V f(x = - (x – 8) (x – 15) V g(x) = -x + (10,15) 15 V Label: (10, 15), (14,9) V Label: 10 (14, 9).…

A: To find the area of region enclosed by functions f and g

Q: First Derivative Error f(x,.,) – f(x,-1) 2h f'(x) = O(h) -f(x,2) + 8ƒ (x,1) – 8f(x,-1) + f(x,2) 12h…

A: The given function is, f(x)=lnx and the step length is h=0.01

Q: Verify that the function .3 f(x) = x' + x – 4 satisfies the - hypothesis of the Mean Value Theorem…

A:

Q: QI Find f'(x) for 1+ sec-(x) S(x) 1- csc-1(x)

A:

Q: f(x) = (x2-p)/x+9                        if x2 continuous (-∞,∞)  p,q,r = real number. Find p,q,r

A: Given, f(x)=x2-px+9                   if x<-9px2+x+q             if -9≤x≤2sin(x-2)2(x-2)+qr+r  if…