Let a be a positive constant. (a) Find a formula for the nth derivative of f(x) = eax. (b) Find a formula for the nth derivative of f(x) = e-a:

Q: 2.

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Q: Find the inverse function of  f.​ f(x)=8x-1/3x-4 x cant equal 4/3

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Q: x+1 x-x-2

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Q: evaluate the trigonometric function of the quadrantal angle, if possible. 38. csc

A: Given,            csc3π2

Q: cOs X sin? x

A: Given:- ∫cosxsin2xdx Formula:- we use substiution method and formula ∫xndx=xn+1n+1+C

Q: Given: G(x) = [x] + [4 – x]. Determine lim G(x). x-3

A: We will find the limit of the given function.Below find the solution in the image.

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). I-00 f(x) = cot 1 (14x + 2) !!

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Q: Consider the graph of f. y 4 3 1 1 2 2 3 4 5 6 7 8 9

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Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is approximat...

A: Revenue function is given R(x,y) = 19+162x+210y-3x2-5y2-6xy  , it is function of two variable  Findi...

Q: Find fy (x,y,z), fy(x,y,z), f_(x,y,z), and fyx(x,y,z) for the following. f(x,y,z) = 3x* + 3xy - 5z

A: We need to find derivative of given function.

Q: x* + x³ + x² – x + 1 x(x² + 1)²

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Q: Find all the values of a such that the given series would converge. (- 1)"z" L 2"(n² + 7) n=1 The se...

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Q: (b) A series RLC circuit is shown in Figure Q4 (b) where R=4Q, L = 0.5H, C=0.1F,E(t) =10 V and i(0) ...

A: we have given a series RLC circuit with a voltage source L=0.5H C=0.1FR =4 ohmE =10 V

Q: 9. There is an infinite discontinuity 10. There ts a Jump discontinulty at x = 0 and f(0) = -2 at x ...

A: An infinite discontinuity is a type of discontinuity where one or both of the one sided limit go tow...

Q: 5. f(x) = Vx2 + 3x + 6; f'(2)

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Q: Perform the indicated operation. If possible, reduce the answer to its lowest terms. 2 15 4 2 15 (Si...

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = arcsec 4x ...

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Q: Find an equation of the tangent line to the graph of the function at the given point. 1 arccos x y =...

A: The given function y=12arccos x at the point -22,3π8

Q: If f. g and h are functions defined on the set of real numbers defined by: F(x)= 3x+1, g(x) = 2x -1 ...

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Q: An isosceles triangle has an area of 22 cm2, and the angle between the two equal sides is 5?/6. Find...

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Q: В

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Q: t Complete the table of values to evaluate lim t0 sin t f(t) f(t) -1 1 -.5 0.5 -3 0.3 --1 0.01 -.001...

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Q: On the graph of f(x) = tan x and the interval [-27, 0), for what value of æ does the graph meet the ...

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Q: Complete the table. lim f(x) 3 x→3 2 = -00 lim f(x) %3D x -00 2 4 lim f(x) -2 -1 0 5 6 7 8 %3D lim f...

A: Solution

Q: xª + x³ + x² – x + 1 2 x(x² + 1)²

A: Here we have to find the partial fraction decomposition of the given fraction.

Q: | 2х cos(2x) dx

A: Given problem:- ∫2x cos(2x) dx  Method:- we use integration by parts to this problem

Q: 2 1 + 22 + 1 32 + 1 1 + 42 + 1 d) + + ... 12 + 1

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Q: Given a function whose graph is shown below. 3 2- 1+ -6 -2 1 4 8 -1+ -3- -4+ What is lim f (x)? x--5

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Q: On the graph of f(x) apply. = csc x and the interval [0, 2n), for what value of x does f(x) = -1? Ch...

A: Given  f(x) = csc x , x∈[0,2π) csc x  is negative in 3rd and 4th quadrant  

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

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Q: (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find t...

A: Follow the procedure given below.

Q: 7. Consider the region above the x-axis and below y = e» with x > 1, shown below. 4 Consider a wiza...

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Q: Calculate and at the points (7,41, 1) and (7,41, –1), where z is defined implicity by the equation z...

A: Given the equation z4 + z2x2 - y - 9 = 0

Q: road length (in kilometers), T is the total county land area (in hundred-acres (Ha)), U is the urban...

A: We will find the number of accidents. 

Q: Given a function whose graph is shown below 6- 5- 4- f(x) -3 -2 |-i 0 1 2 3 4 5 -1 -3 What is f(1)? ...

A: for x=1 there is no corresponding y value , That is there is no close circle for x=1, Therefore f(1)...

Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Forms of Summation Notation 5. Sum of the squares of the variables: Ex = x,² +x,' +..+x,² i=1 Exampl...

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Q: Let f(x) = sin(x) and g(x) = x². Find (fo g)' (x). (2æ)cos(x²) O (-2x)cos(x²) 2sin(x)cos(x) 2xcos(x)

A: Topic = Functions

Q: if a 2 Compute the quantities below. Write "DNE" if the limit does not exist or the value is undefin...

A: Given that: f(x)=7x+7     if    x≤27x-8      if   x>2

Q: The count in a bacteria culture was 800 after 15 minutes and 2000 after 35 minutes. Assuming the cou...

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Q: Compute the partial sums S2, S4, and S6 of 1 1 + 3.4 1 1 + + 5.6 2.3 4.5 (Use symbolic notation and ...

A: Given:-     To find:- S2  S4  S6

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i + 3t²j...

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Q: 1. Find the indicated values. f(g(8)) |x| f(x) g(x) s(8(5)) 1 5 g(f(5)) 2 5 8(5(3)) 3 2 4 4 1 S(S(4)...

A: Use the given table for finding the value of function 

Q: Find all local extrema for the function f(x,y) = - 6x - 9xy - 4y + 72x+54y+ 6.

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Q: Which of the following statement/s is/are true about the function whose graph is shown below? A. lim...

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Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: Let f(x)=sec(x) The domain of f(x) is: x∈ℝ-π2,kπ, k∈ℤ

Q: K石Xuts

A: ∫ Sin-1 x dx   ....(1) Using integration by parts ∫ f1(x)*f2(x) dx = f1(x)∫f2(x)dx-∫[d/dx(f1(x)*∫f2(...

Q: Find all the values of a such that the given series would converge. (– 1)"9"x" Σ n=1 (Vn+ 5) The ser...

A: Here we have to find the values of x such that the given series would converge.

Q: 1) Consider the graph of the function f(x) = 5x -8x a) Find the slope of the secant by sketching a g...

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Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y = ...

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