Find the critical number for y = f(x) = x (x + 2)²

Q: Solve for general solution of this Homogenous DE .(show complete solution) xydx - (x^2+3y^2)dy =0…

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Q: 11) Suppose that f is a solution of the differential equation y' + = 1 with f(1) = 1. Then f(2)= 3.…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: on) solve the Differential en by using vanation of parameters - 24 (+12 yll -24¹ +y₁

A: Please see the below picture for detailed solution.

Q: Q.1. 758.51 -7.14 Please calculate the area of cut cross-section using the coordinate method. 758.37…

A: Given data:- Find the area of the cross-section with the help of the given figure in a question,

Q: 9) Let R be the region bounded by the graphs of f(x) = cos(x) and g(x) = sin(x) where ≤x≤. If T is…

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Q: Match the function with one of the graphs below using horizontal asymptotes as an ald. 4x f(x) = y 2…

A: Let's find horizontal asymptote of given function.

Q: If f(x) = 2ln(8 + x), f'(x) = f'(3) =

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Q: I need the integration solution in the easiest way, a step-by-step solution and a clear line, please…

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Q: Consider the function f(x) this interval. 1 on the interval [5, 11]. Find the average or mean slope…

A: Given, f(x)=1/x

Q: 16 uppose that (A) List all critical numbers of f. If there are no critical numbers, enter 'NONE'.…

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Q: A constant vector field F(x, y, z) = ai + bj + ck is a gradient vector field. True O False

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Q: Find the constant a such that the function is continuous on the entire real line. 7sin x 10 11 g(x)…

A: Here we will find the value of a,

Q: FT [f'lt) = jwF(W) F(w) = jw f(w) => JA -T T tax + √(-_^) -jut e (-A) ²-just, AT Sim ² (WI) WT T A […

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Q: G A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y =…

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Q: Two sides and an angle are given below. Determine whether the given information results in one…

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Q: 12. g = ²+1 - 4 2

A: The given problem is solved below in detail.

Q: Consider the function f(x) Find the value of A: A = - 4x² + 4x 1. f(x) has a critical point at x =…

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Q: Find the derivative of the function by the limit process. g(t)= t3+5t St g'(t) = Submit Answer

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Q: Evaluate the interated integral: LS-² x² sin(y) dy dx

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Q: Find the radius and center of the sphere [Hint Complete the square in each variable…

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Q: Consider the function f(x) = 6√x + 9 on the interval [1, 8]. Find the average or mean slope of the…

A: mean value theorem

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 15 between x =…

A: The area under the curve of function f(x) = 6x + 15 between x = 4 and x = 7 is given by,…

Q: Solve the following initial value problems: A. y(0) = -3: y= B. y(0) - 6: y= dy dt 2t

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Q: Determine if the expression is meaningful. If it is, state whether the expression represents a…

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Q: QUESTION 15 Use a graphing utility to graph the function over the indicated interval and approximate…

A: The answer as follows:

Q: Find the exact value of the expressic ܪܕܐ -1 sin sin ၁ 5 သ | O 2n O 2n 5 5 Эт O 3n 5 3 5

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Q: in changing variables to polar coordinates, the dA in [[ f(x, y) dA R becomes r² dr do. True False

A: For conversion of Cartesian coordinates to polar coordinates put  x= rcos(thita) and y= rsin(thita)

Q: ∞ f(x) = L n=1 (7-2x)" Sn

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Q: 11 Let f(x) = 7x-6 +2 Find the open intervals on which f is concave up (down). Then determine the…

A: Solved below.

Q: 1. Find the first derivative of the function g(x) = 8x³ + 12x² - 48x. g'(x) = 2. Find the second…

A: Solve the given

Q: A solid bounded by z = x² + y² and z=4. Find the volume of the solid.

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Q: cos^2(2x) - sin^2(2x)=0. Is it a identity and how can you tell.

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Q: Tutorial Exercise Find the limit, if it exists. n_ (+²) lim Step 1 Recall from Theorem 3.10 that if…

A: Given problem:- limx→∞8+5x

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

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Q: Tit - 6 [~ (10 - π)_¸ ¯-¡(10mt-1/n) e e 2j x(t)=2 -√ √(10 x (1) = −j/e 1 m² - 7 m)_ - (10 m²- :-) t-…

A: Given Xt=-jej10πt.e-j6π-e-j10πt.ej6π

Q: Answer the following True or False: If f(x) is an antiderivative of v(x), then f(x) + 2x + 5 is an 4…

A: We will find the required.

Q: Phyllis invested $9,500, a portion earning a simple interest rate of 8% per year and the rest…

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Q: A function is given by f(X)=x^2+X+5 find f'(2)

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Q: Consider the function f(x) = Let F(x) be the antiderivative Then F(x)= - 8 2 x³ x6 - 4 of f(x) with…

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Q: hat substitution will be the most helpful for evaluating this integral? A. X= B. x= 1 8 1 sin 0 tan…

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Q: 6) Assume that f(t) is continuous on [a, b] and that u = g(t) is continuously differentiable on [a,…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is…

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Q: 9) Erin goes for her daily run. The elevation changes, so she can run some sections faster than…

A: Given

Q: we can write the given function as: x(t) = 3 + 4 cos (20nt + ) 2 sin (60nt -)-4 cos (70nt – π) As we…

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Q: LINEAR DE: FIND THE INTEGRAL FACTOR AND THE GENERAL SOLUTION

A: This question can be solved using the concept of linear differential equation.

Q: Plot the point LO T given in polar coordinates, and find other polar coordinates (r.0) of the point…

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Q: Evaluate the following definite integral. 4 7y S -1 у-зу-10 2 Find the partial fraction…

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Q: Σ η +1=2 In(n), π

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Q: Find the indicated midpoint rule approximation to the followin S 4 sin (x) dx using n = 6…

A: The Midpoint Rule: ∫abfxdx=∆xfx0+x12+fx1+x22+fx2+x32+...+fxn-2+xn-12+fxn-1+xn2 Where, ∆x=step…

Q: A business has a cost of C = 0.9x + 500 for producing x units. The average cost per unit is given by…

A: c=0.9x+500