Find f. f"(x) = cos(x), f(0) = 3, f'(0) = 6, f"(0) = 4

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A: As per our guidelines we are only supposed to solve first three parts of questions

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A: We can find the slope at the indicated point in the below steps.

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A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: 3. Determine where f(x) = 12x - x³ has any local maximums or any local minimums.

A: To determine maxima or minima for the given function

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Q: + -4 -3 -2 -1 12 a what interval(s) is f(x) decreasing? what value(s) of a does f(x) have a maximum…

A: Topic :- calculus

Q: Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2x? If so,…

A: To determine whether the function below have any horizontal tangents in the interval 0≤x⩽2π. If so,…

Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. 114 O C. 24 3 2√x +C 23 --x² + C 3 O b. O d.…

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Q: Given the function g(x) Find the first derivative, g'(x). g'(x) Evaluate g''(-5). g''(-5) = 8x³…

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Q: 8.) f(x) = (x+3)(x-4) 2(x-1)(x+2)

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Q: Use the steps to curve sketching to graph the following functions 3.) f(x)=x²-12x+36

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Q: Find .6 7 LT." 3 4 xy dydx.

A: Given query is to find the integral.

Q: Evaluate the gradient of f(x, y, z) = log(x² + y² + z²) at (1, 0, 1).

A: To evaluate the gradient of fx, y, z=logx2+y2+z2 at 1, 0, 1.

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Q: 4. y' - (3+anx)y = 1

A: need to find out the general solution of the differential equation.

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Q: Find y" for y = -2(x²+6)3 y" = x

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Q: A. 8-24x C. Find the second В. 8х + 10-6х-4 8+ 24x−1 8+24x-5 D c. Y = 4x² + 10x + -5 Find derivative…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. Find an equation of tangent line at the point (-1, 1) to the curve x¹y² + 1 = x² + y³. 5. The…

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Q: logarithmic differentiation to find the derivative of f (x) = (cos x)x

A: Given is to find the derivative.

Q: Find the derivative of the function. 9√20-³ Select one: OA. -31² OB. √20-3 OD. 1 2√√20-312 OC.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: (x² + y² + x) dx + xycy = ax 0

A: The Solution is given below

Q: (2x+3) y'=y+ (2x+3) when x = -1, y = 0 . y'-(3 tanx)y = / 11/2

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

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Q: 1 The function h(x) x-8 Given that g(x) = (x - 8), find the function f(x). f(x) = Question Help:…

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Q: Let u(x) = sin(x) and v(x) = x20 and f(x): u'(x) = v'(x) = f' = u'v - uv' v² = u(x) v(x)

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Q: Evaluate the triple iterated integral. 2 [² [²xyz³ dx dy dz 1

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Q: k=0 4(-2) is an alternating geometric series, which diverges. converges Σ 4( - 2)² k=0 Enter DNE for…

A: ∑k=0∞ 4-2k

Q: Find the equation of the tangent line to the curve y = 2 sina at the point (7,1). The equation of…

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