Find the constants a and b such that the function is differentiable everywhere. x²-9 x+3 if x < -3 f(x) = ax+b if x2 -3. Edit View Insert Format Tools Table 12pt v Paragraph V O Hide tv Si Il Proctorio is sharing your screen. Stop sharing O ♫

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Q: (e) If f and g are differentiable then, d -f(g(x)) = f'(g(x))g'(x) dx True False

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Q: 1)y= (8+7x³) Find the derivative of the following functions 2)y = (x +5)®(2x + 3) 3)y=

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Q: lim x→0 1 x + S x 6571- S Ans 50.

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A: We have to find the number δ.

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A: We have to use the Euler method

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Q: 9) Ур H Asin(2t) + Bcos (2t) Q13) The general solution for y' a) = 3x² + c b) = y Q14) The solution…

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Q: Find a plane containing the point (-3,-3,5) and the line x(t) y(t) z(t) = = 8 + 4t -4-6t -7-3t

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Q: Investigate if the integral is convergent or not. Justify your answer.

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Q: 2. A line has y-intercept 11 and 3-intercept-13. [x, y, z)= [0, 11, 0]+[0, 11, 13] C [x, y, z]= [0,…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: The given function: gx=-4ex.We need to find the slope of the function at the given point.

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Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

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Q: If you apply the direct comparison test to assess convergence of arctan ²k, k¹.01 to which of these…

A: Given

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Q: Problem 4. Find the second derivative of below functions. (1) f(x) = 4, (2) g(x) = ln(3x² + 2x - 5).

A: 1)f(x)=41/x 2)g(x)=ln(3x2+2x-5).

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Q: Consider the improper integral In(x)da. To evaluate this integral we will follow the steps below.…

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Q: Given the function f(x) = -2x + 6x within the interval [0,8], at what values of x do the absolute…

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Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

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Q: Q14) The solution of y'" + y = 0 by using power series method, is: a) y(x) = 40 + a11- + ...) 41 51…

A: 14)    Given differential equation y''+y'=0 ......................(1)    We can substitute…