sin 219x Is there a value of n that will make the following function continuous at x= x+0 f(x) = { x² 2

Q: Graph the function. f(x) = 4 - cos(x)

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Q: Suppose we define a function f(x) by f(x) = a1 sin(x) + a2 sin(2x) +· + an sin(nx), .. for constants…

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Q: Let f(x) = sin(5/7). Find f'(x). f' (x)

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 4x + 6, f'(0) = 9, f(0) = 6…

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Q: Find the equation of the tangent line to the function f(x) = 2* at x = 4. (Use symbolic notation and…

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Q: f(x): In(6 – x) sin(x + 1)'

A: We have to find domain of given function.

Q: 2. If f(g(x)) = sin x + 3sinx - 1, determine possible expressions for f(x) and g(x), where g(x) # x.

A: (1st method/way): Let f(x)=x²+3x-1 and g(x)=sinx Then we can find f(g(x)) as follows…

Q: (a) By using definition of differentiation, find f'(x) when f(x)= 3x - 5x (b) Given f(x)= (log(4x –…

A: Given: fx=3x-5x2 we know that ddxxn=nxn-1                                                ..1

Q: find the intervals on which f is increasing and decreasing. f(x)= sin^2x on [-pi,pi]

A: Given a function and interval,

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: If f(x) = 4x sin-), find f'() = f' (0.4) -

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Q: How is the graph of g(x)=2sin(3x) related to the graph of f(x)=sin x? GRaph the function g(x), show…

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Q: Find the absolute extremum f(x)=sinx    (30,120)

A: Given function is Differentiating with respect to x, we get Firstly, we find critical points of…

Q: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?

A: Given query is to find the value of the function at indicated point.

Q: 3. Evaluate f x sin2 (x²) dx.

A: Given I=∫x sin2x2 dx To Find I

Q: Find the domain of the function. f(x) = (6cosx)/(1 - sinx)

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Q: Write sinh(3 ln(x)) as a rational function of x.

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Q: Let f(x)= x2 + sin x - 2 cos 2x. Find (f-1)'(-2)

A: Given: fx=x2+sinx-2cos2x To find: f-1'-2 Now, we know that f-1x' = 1f'f-1x

Q: Find the equation of the tangent line to the function f(x) = In(5x) at x = 2. (Use symbolic notation…

A: Given that, f(x)=ln5x To find the equation of tangent line to the function f(x)=ln(5x) at x=2.

Q: Let f(x) = sin(4g(x)). Evaluate f'(x).

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Q: If f(x)=sin3xcos2x, find f'(π/6)

A: Given,

Q: Find the equation of the tangent line to the function f(x)=6^x at x=2 (Use symbolic notation and…

A: At x=2  y=62 =36 So the point is (2,36)

Q: Use the derivative f' to determine local minima and maxima of f and the intervals of increase and…

A: When f'(x)>0 then f(x) is increasing. Answer: f(x) is increasing in…

Q: The equation of the tangent line to the graph of a function f at (3,) is y(x) = x + 1. What is…

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Q: Let f(x) = 7x2 + 6x – 4. Then according to the definition of derivative f'(x) = = lim h→0 We can…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: 9) Find f(x) if f'(x) = 7 sin x + 2x - 3 and f(0) = -3

A: Obtain f(x) by integrating the given first derivative as follows.

Q: Find the first derivative f' and the original function f. "(x) = x' – 8x + 6, f'(0) = 5, f(0) = 8…

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Q: Find the equation of the tangent line to the function f(x) = 4* at x = 2. (Use symbolic notation and…

A: Given the functionf(x)=4x      ...(1)

Q: find g' g(x)= square root of 1-sin^2(x)

A: The given expression is: g(x)= square root of 1-sin^2(x)I am interpreting it to be as shown on the…

Q: Find f'(x) if f(x)=sin^-1 (x-1/x+1)

A: We have to find

Q: Find a way to calculate accurate values of f(x) for small values of x.f(x) =[sqrt(1 + x^2) - 1] /…

A: Given function is:

Q: Find the value of : sin3x lim x→0 2x

A: This question is based on Limits.

Q: Find the first derivative f' and the original function f. f"(x) = x – 14x + 4, f' (0) = 8, f(0) = 10…

A: Solve

Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

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Q: Let f(x) = x2 – 6 and po = 3 and pi = 2. Use Secant method Example: to find p3.

A: Given: f(x)=x2-6, p0=3 and p1=2 To find: Value of p3 using Secant method.

Q: Find f''(x) for f(x)=(tan(2pix))^3

A: From the given data:

Q: lim sin (xt3) dt X 5

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 14x + 4, f' (0) = 7, f(0) = 6…

A: Given:f''x=x3-14x+4 ; f'0=7 ; f0=6We need to find f'x and fx.

Q: Find the first derivative f' and the original function f. f"(x) = x³ – 8x + 6, f' (0) = 8, f(0) = 8…

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Q: if f(x)=cospix, find the extact value of a such that f(1)-f(-1)/1-(-1)=cos a.

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 10x + 10, f' (0) = 2, f(0) =…

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Q: Find (f-1)(a). f(x) = 5 + x + tan(rx/2), -1 < x < 1, a = 5 (f-1)'(a) =

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Q: Find the open intervals where f is increasing or decreasing.ƒ(x) = -3 sin 4x

A: Given- fx=-3sin4x To find-  The open intervals where f is increasing or decreasing.

Q: What are the zeros of f(x) =8 sin x-4 on the interval [0,2r]?

A: We have to find the zeros of given function.

Q: Find f'(x) if f(x) = f'(x) = 8- cos x 8 + sin x

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