f(x) = −x2 + 2x + 3 on [3, 6] maximum_______ minimum_______

Q: Consider the Cobb-Douglas Production function: P(L, K) = 28L0.5 -0.5 Find the marginal productivity…

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Q: STRUCTIONS: Differentiat respect to x) using any method. (x) = √x + 2x X _x) = x sin-¹(x)

A: Topic:- application of derivatives

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 4,000+ 11x + 0.1x². (a)…

A: The cost in dollars of producing x units of a certain commodity is Cx=4000+11x+0.1x2.a To find the…

Q: Express f(x) in the form f(x)=(x-k)q(x) +r for the given value of k. f(x)=x³+4x²+6x +4, k = -2

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Q: Write an equation for the line through the point (-5, -6) and parallel to the line y=9c-9 in…

A: Both line is parallel so slope will be equal for both  and then put the all given values .

Q: Find dy/dx. y=x0.75

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Q: tch the functions with their graphs. 1. f(x) = cos(x) 2. f(x)=sin(x) 3. f(x) =tan(x) 4. f(x) =…

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Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = f(x, y) 6x + 2y 7x + 6y

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Q: a) Find the linear approximating polynomial for the following function centered at the given point…

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Q: Find the equation of the tangent line to y 32²—6x+1, at x = 2.

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Q: Write the equation of the tangent line to the curve at the given point. 8xy + y2 − x2 + 38x = 217 at…

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Q: Differentiate the function.   y=(6x2-7)/(5x3+1)

A: The given function is; y=(6x2-7)/(5x3+1)

Q: A quadratic function f is given. f(x) = x² + 4x + 3 (a) Express fin standard form. f(x) = (b) Find…

A: Let's find standard form , x and y intercepts, vertex, domain and range.

Q: Set up an integral for finding the Laplace transform of the following function: Jo, 0, f(t) = t. -…

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Q: 2. (5 points each) INSTRUCTIONS: Differentiate the following func- tions (respect to a) using any…

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Q: Find the coordinates of the point (x, y, z) on the plane z = 2 x + 3y + 2 which is closest to the…

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Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

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Q: Evaluate the integral using cylindrical coordinates: fffida 1 dx dy dz where T: 0≤x≤ 2, 0≤ y ≤ √4-²,…

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Q: If y=1/3x2​, find dy/dx at x=−1.

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Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: Let's find areas of the shaded rectangles under the graph.

Q: If f(x) = f'(x) = 9x + 5 7x+5' F what's f'(x)?

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Q: Fill in the blank. The One-to-One Property of exponents with natural base e states that if ex = ey,…

A: Given that  e(x)=e(y) ex=eyThe one to one property of exponent states that is base is same then…

Q: 10. fcot5 3xdx

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Q: Consider the piecewise function 5t - 5 5 cos(-5t) -5-6e5t -5 sin(5t) f(t) = = t< -11 -11 ≤ t < 3 3 <…

A: For a piecewise function we can write it as a unit step function as f=f't&lt;af''a≤t≤bf'''t≥bThen…

Q: Find the volume of the solid bounded by the hyperboloid z² = x² + y² + 1 and by the upper nappe of…

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Q: x+6y=12x6₁ dx for the above linear equation if the initial condition is y(1)=2, then the constant c…

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Q: Find an Indefinite Integral. Show all your work So x√3x-4 dx 1.

A: To find the following indefinite integral.∫x3x-4 dx

Q: Find dy/dx. y=3x7

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Q: 22. Find the point on the curve y = √x that is closest to the point (3, 0).

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Q: Sketch the curve of the following: y = x5/3 - 5x2/3

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Q: Use the properties of logarithms to rewrite the expression as a sum, difference, or multiple of…

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Q: Find the critical numbers g(x) = x1/3 - x-2/3 *please use handwriting not typing, I understand it…

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Q: Evaluate: a) O 87 3 b) 4T c) 0 2T d) O 16T 3 e) 8T TIT 0 0 rdz dr de

A: Solution :∫0π∫02∫0r2rdzdrdθ∫0π∫02r∫0r2dzdrdθ∫0π∫02rz0r2drdθ∫0π∫02r3drdθ∫0π∫02r3drdθ∫0πr4402dθ∫0π4dθ

Q: Where did you get y^2=((2a^2)/3)

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

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Q: Find the area of the surface obtained by rotating the curve about the y-axis. 1 1 y=-x--lnx, 1≤x≤8 4…

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Q: Express by repeated integrals. Do not evaluate: The volume of the solid bounded above by the…

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Q: 7. Evaluate Definite Integral 4 X/4 -4 3 dx

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Q: Suppose Find the value of f(10). f(10) = _. d _ƒ(x) = 6x, f(1) = 8. dx

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Q: lim x to 0 tanh(x)/tan(x) using the L'hospital's rile

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Q: A water tank in the shape of an inverted circular cone has a base radius of 2 m and height of 6 m.…

A: Let h meter be the height of the water at any time t. Let the angle of the cone be 2α Therefore, Tan…

Q: Consider the differential equation -ly"" + 2y" + 1y' - 4y = 0 with y(0) = 0, y'(0) = 1, y" (0) = -4.…

A: Please see the below picture for detailed solution.

Q: Find the volume of the largest right circular cylinder that fits in a sphere of radius 1. V = +…

A: I am attaching image so that you understand each and every step.

Q: WORK PROBLEMS (. You need to provide a clear and detailed solution for the following Questions: )…

A: This question is related to vectors, we will solve it using given information.

Q: Find an equation of the tangent line to the graph of f at the given point. f(x) = √√√x, (25, 5) y =

A: Given query is to find the equation of the tangent.

Q: d da -f(x) = cos x, f(0) = 9.

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Q: Consider a third-degree polynomial f(x), which has the properties f'(1) = 0, f'(3) = 0. Can there be…

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Q: dy/dt = 2.5. 9. Given y = e2x+1, find dy/dt when x = 4 and dx/dt = 0.5. 3r C: (d when x = ? and

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Q: Consider the function g given by g(x)=|x−6| +2.   ​(a) For what​ x-value(s) is the function not​…

A: A function is non-differentiable when there is a cusp or a corner point in its graph.   Given :…

Q: x 6) Find the average value of f(x) = √x²+16 on [0,3]. a) 1 b) WIT 3 WIN c) 3/3 d) 3

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