Suppose that f(x)=−6x2+3   (A) Find the slope of the line tangent to  f(x) at  x=4 _____ (B) Find the instantaneous rate of change of  f(x) at x=4 ____ (C) Find the equation of the line tangent to  f(x) at x=4. y= ___

Q: 2x 2-3+ x - 3 Example 9. Find lim 2x x-3-x-3 and lim

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Q: U = {x: x is first ten positive integers} A = (1, 2, 5, 6, 9, 10} B = (2, 4, 6, 8, 10} C=(3, 4, 7,…

A: Given: U=x: x is first ten positive integersA=1, 2, 5, 6, 9, 10B=2, 4, 6, 8, 10C=3, 4, 7, 8To Find:…

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Q: For f(x)= x2+4 and g(x)=x2-4 find the following function (fog)(2)

A: Given, f(x)=x2+4g(x)=x2-4

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Q: Using lim 0-0 lim t-0 lim t-0 sin 0 Ө = 1, find the limit. 4t²-3t+2 sint 7t 41²-3t+2 sint 7t =…

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Q: Find a and b such that f is differentiable everywhere. 2 cos (r) if r 0 a = b= f(x) = {

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Q: Use the table to evaluate the expression. (fog)(6) X f(x) g(x) 1 5 3 2 1 5 3 6 6 4 2 2 5 3 1 6 1 4

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A: We need to find the half-life of radium.

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A: Topic = Coordinate Geometry

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A: Here we have to use the concept of derivatives.

Q: 5. y = C₁еx + c₂xe* + c3e-x + 2x² ex; d³y d²y dy dx dx³ dx² +y-8ex=0

A: We can solve this as follows:

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Q: Find the indefinite integral. π/6 Lote (sec t tan t)i + (tan t)j + (2 sint cos 5 t)ko

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Q: Let F(x) = f(g(x)), , where f(-7)=2, f'(-7) = 3, f'(3) = 10, g(3) = −7, and g'(3) = -9, find F'(3) =

A: Given, F(x)=f(g(x)),

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Q: C

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A: The given equation is; dr=b(cos(theta)dr+rsin(theta)d(theta)).

Q: 9. y² = 4ax

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A: To find the Arc length of the function.

Q: a) Assume that the function is linear. I. II. III. Complete the rest of the table x 1 2 3 4 f(x) 3 6…

A: We can solve this as follows:

Q: For f(x)=5x-1 and g(x)=x+1/5 find the following function (fog)(x)

A: given that f(x)=5x-1 and g(x)=x+15 find (fog)(x)?

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A: let x be number of items sells and p be price of function

Q: nd the equation of the line L that passes throught point P( – 4, 8, 0) and Q( – 3, 5, — 8). = + t

A: We will find the required  vector equation  Of line.

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