Give two points, as ordered pairs, that are not in the domain of this function.

Q: Write f(x)=3x^3-3x in terms of y

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Q: Find the local min, local max, and saddle points of the surfaces z = f(x,y) for the below function:…

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Q: Calculate the double integral SSR x cos(2x + y) dA ㅠ where R. is the region: 0≤x≤,0 ≤ y ≤ 47/20 6⁹

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Q: if cos A=-0.12 then what is the value of sin(90-A)? the exact value of cot-7pi/6 and sin4pi/3?

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Q: Evaluate the following integral using trigonometric substitution. 9|N 9 2 0 dx 2 √√81-x² dx 2 √81-x²…

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Q: Find the solution of the nonhomogeneous linear differential equation using the method of…

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Q: Test each of the following equations for exactness and solve the equation. The equations that are…

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Q: Find g'(0) if g(0) = cos 0 sin 0. [A] cos²0 [B] cos²0 + 1 [C] cos²0 sin²0 - - [D] sin²0 [E] sin²0 +…

A: As we know that; The Product rule: f·g'=f'·g+f·g' Use the common derivatives.…

Q: 8. A rectangular box with a square base is to be made where the material for the sides and the lid…

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Q: 2x²-5x-10 (x+2)(x² −4) dx

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Q: A graph is defined by the equation x²-√3xy + 2y² = 12. Part A: Find dx Part B: Find the equation of…

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Q: [2] An isosceles right triangle has an area of A = s² where s is the side length in centimeters and…

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Q: Find the derivative of: Ř(t) = (sin² (3t + 1), ln(t² − 1), ²+1 –

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Q: Find the following for the given equation. r(t) = (e-t, 5t², 7 tan(t)) (a) r(t) (b) r"(t) = (c) Find…

A: Given: rt = e-t, 5t2, 7 tan t To find: r't , r''t and r'(t)·r''t We know that  ddxex = ex ; ddxtanx…

Q: A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

A: Given that side of the square =90 ft.runs with the speed =27 ft/s.Solution :the distance covered by…

Q: Question 8 Solve the given differential equation (where the function is subject to the given…

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Q: =√₁ dt. Find the MacLaurin polynomial of degree 5 for F(x). Let F(x) = Use this polynomial to…

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Q: π/4 de Evaluate the integral √ (secx + cos x)² dx LENT O blen

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Q: Let the graph of f(x) be given below. Find the formula of f(x), a polynomial function, of least…

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Q: Find the short test distinse between the two curves y² = Sinx"²" and x² + y² = 2 where intersect…

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Q: Perform one step of row reduction, in order to calculate the values for x and y by back…

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Q: Use the Laplace Transform to solve the given initial value problem. y" + 2y' + 5y = 0; y(0) = 2,…

A: The given equation is; y''+2y'+5y=0, y(0)=2, y'(0)=-4.

Q: Evaluate the integral 1 Note: Use an upper-case "C" for the constant of integration. 9x² √4x - x² dx

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Q: Quantitatively prove the following: If f: R3 → R  has continuous second derivatives, then  ∇ × (∇f)…

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Q: If an arc has a length of 3 does this cover an angle less or more than 180 degrees and why?

A: We need to describe arc length.

Q: - Let C be the curve defined by R(t) = (2e²t - 3,1 - e²t, 2e²t). i. Find a vector equation of the…

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Q: 8. Let y find = dy dx 4x√x² +8 (x +9)2/3* at x = -1. Use logarithmic differentiation to

A: The given data is: y=4xx2+8x+923  Use logarithmic differentiation to find dydx at x=-1

Q: Find the least squares regression line for the points. (0, 5), (3,

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Q: If f(4) = 11, f'is continuous, and f(6) = Submit Answer fºt f'(x) dx = 19, what is the value of…

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Q: Please snow your answer to at least 4 decimal places. 4x Determine the gradient of f(x, y) = eª*…

A: Given, f(x,y) =e4xsin(4y)    Find gradient at (x,y)=(1,2)

Q: 2. Write the formula for area of a circle: (a) Which two variables are related by this formula? (b)…

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Q: Rewrite the quadratic function f(x) = x² + 4x − 8 in standard form, f(x) = a(x − h)² + k, and give…

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Q: Evaluate the integral x+5 x+7 dx

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Q: The graph of a quadratic function with vertex (-2, -3) is shown in the figure below. Find the domain…

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Q: The graph of a quadratic function with vertex (4, -4) is shown in the figure below. Find the domain…

A: Given query is to find domain and range of the function.

Q: Find the Differential Equation whose general solution is y = C₁e-¹/² + C₂e-4t O 2y" -9y' - 4y = 0…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 22) The given equ" of the circle (x+12) ² + (y + 5) ² = 169 Here centre of the circle ins (-12,-5)…

A: The following is the digital format of the given text.

Q: 2. Solve the logarithmic equation a) In 10-In(-x) = ln(3-x) b) log₂ (x + 1) = 1 + log₂ (x - 1)

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Q: Evaluate the iterated integral I SV Answer: 1+ eº dw dv.

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Q: - 1. Evaluate the x for parametric equations x = 3t² – 6t a y = 3t³ + 3t with respect to the…

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Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

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Q: Consider the following. 7x²y³ = 8 (a) Find y' by implicit differentiation. 14x 3y y' = (b) Solve the…

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Q: Find by implicit differentiation. dx 2x sin(xy³) = x +2y-7

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule:…

Q: Evaluate the following integral using integration by parts. fxsin 6x dx

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Q: Use logarithmic differentiation to find the derivative of the function. y = (In(x)) cos(9x) y'(x) =…

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Q: Question Let h(x) = f(x) g(x)' g(x) = 4x − 3. What is h'(x)? = Select the correct answer below:…

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Q: 20. Evaluate the limit or show that the limit does not exist. Show proper work. sin y cos y ye (a)…

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Q: Please resolve this one.

A: Given integral:- ∫07dxx+13+1

Q: How would you evaluate S tan 7x sec ³x dx? Choose the correct answer below. OA. Rewrite the power of…

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

Q: dy ax + ycotx = 1

A: dy/dx+ yCot(x)=1 It's a linear differential equation.