Consider the function f(x) = 4-6x², -5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x equals The absolute minimum value is and this occurs at x equals

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Q: Q14 Multiple Choice Select the best answer. For AABC, A = 45°, B = 65° and c = 25 cm. What is the…

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Q: 10) Answer the following. (a) v(x) = 22.4x-1018, find v'(x) (b) S(x) = 22.4e-1018r, find S'(x)

A: Given :(a) vx=22.4x-1018(b) Sx=22.4 e-1018x      (c) fx=sin3x

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A: Given sequence is an=12n

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Q: 2. Integrate Sª arctan r ૨૨ dx.

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Q: consider the function y=5x^2+20x+10. Can you find P & Q such that the tangent lines to these points…

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Q: a. f(t)=cos5t b. f(t)=sin3t   Solution step by step for Laplace USE INTEGRATION NOT DIRECT…

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Q: Find the value of a so that the function f(x)=xe^ax has a critical point at x=7 a=

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Q: Find f'(x) if f(x) = ƒ'(x) X + 1 B) (6+2). x5

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Q: 3. S dy у e sin²(e)

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Q: It has been observed since ancient times that light refracts or "bends" as it travels from one…

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A: z=xeyx=u3-v3y=u3+v3from chain rule ∂z∂u=∂z∂x×∂x∂u+∂z∂y×∂y∂u

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Q: Find the sum of the convergent series. 8 Σ n=1 8 9n2 + 3n - 2 2

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

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Q: 16) Find the slope of the tangent line to the function f(x)=3ex-+ln(2x) at x=1.

A: Given that  a function f(x) and we find the slope of tangent line at x=1.     Here i attached the…

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Q: Let f be the function defined as follows. y = f(x) = 9x² - 3x + 8 (a) Find the differential of f. dy…

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Q: Direction: Find the complete solution of differential equation and use typewritten.…

A: The answer is in step2.

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Q: Given f(x) = 1 e + 3 sin 2x. Taking 1.2 as a first approximation to a, apply the Newton-Raphson…

A: Please see the below picture for detailed solution.

Q: d) cosec ² (x) dy = sec (4) dx -cos (2x) Ssin²(x) dx = -1/2/1-Cos(2x) dx -1/2 (X-1/2 Sin(2x))+C dy…

A: The given differential equation is;  Csc2(x) dy=sec(y)dx.

Q: i) What type of discontinuity occurs at x = -1? There is a name for this type of discontinuity. i)…

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Q: Find the derivative of the following function (you don't need to simplify the final answer) Зг 2+²…

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Q: Bounded by y = x, y = 1 and y =-2/²4 4

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Q: Evaluate the integral. (Remember the constant of integration.) [(16x³9x². 2 + 6x 6x + 7) dx

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Q: Sőt x Wo Son Xx 2

A: Please see the below picture for detailed solution.

Q: Use Lagrange method to find all the maximum and minimum values of the function. ƒ(x,y) = x³ /3+ y²/2…

A: Given that , fx,y=x33+y22 subject to the constraint gx,y=2x2+y2-4=0 Use Lagrange method to find the…

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Q: II) Consider and v= the two vectors u = 1, 6,0 >. a) Find |u| and |v|. b) Find u x v, u x vand u. v.…

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Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin²(x) at which the tangent line is…

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Q: Evaluate the triple integral zy dV where E is the solid tetrahedon with vertices (0, 0, 0), (8, 0,…

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Q: f(x) = 3x7

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Q: dy d²y dx² x = ² + 1, y = t² + 9t 2t +9 2t Find and dx dy dx || d²y dx² For which values of t is the…

A: Given query is to find indicated derivative and the value of t where curve concave up.