Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

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Q: The value of the integral Select one: a. 3 b. None of these d. / [1² 17/12 2y³ dx dy is

A: Evaluating the definite integral

Q: Question 3. (a) (b 2 1 0 -1 Evaluate the determinant of the matrix -1 1 Use the Cramer's rule to…

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Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x F(x, y) = -

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Q: ne estimated value of x²dx, using the trapezoidal rule with 4 trapezoids is 2.75

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Q: b) 0 em dac

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Q: 1) 3 Use reduction of order method with y₁(x) = e³x to find a second solution y2 for the DE: y" - 9y…

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Q: 4. A certain computer algorithm used to solve very complicated differential equations uses an…

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Q: 3. Evaluate the following: (a) [eve da

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Q: Without using a calculator, convert the parametric equations of a curve into rectangular form. No…

A: Given that parametric equation and convert this equation into rectangular form and State the domain…

Q: Choose the value of the iterated double integral 1=₁6ydxdy. 0 0-2 O -1 0 1 I 02 O None of the others

A: This question is based on double integration.

Q: 1. Integrate using an appropriate method. [2si 2 sin³(r) cos² (r)dr

A: The given integral is: I=∫2sin3xcos2xdx   As we know that; The trigonometric identity; sin2x+cos2x=1…

Q: The value of the integral is equal to: Select one: None of them 813113 L. (8 (8x - 8y) dy dx

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: The value of the integral Select one: a. 403 84 b. 127 21 c. 127 28 [² [²x³2 d. 83 21 e. None of…

A: The objective of the question is evaluate the double definite integral and choose the correct…

Q: Question 2 [" a. Find the critical points of the function f(x, y) = 6x² - 2x³ + 3y² + 6xy. b. s]…

A: Extreme Points of Function f(x,y)=6x2-2x3+3y2+6xy

Q: a) Determine if the geometric series 8n-1 90+1 n=1 is convergent or not, and find its sum if it is…

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Q: z² = √√√xe²y-x. Consider the surface described by the equation a Find the equations of the normal…

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Q: he normal vector to the tangent plane for the surface point (1, 2, -1) is: Select one: None of them…

A: topic:- application of derivatives

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Find the average value over the given interval. 32) y = 5x2; [-1,2]

A: We can find the average value as below.

Q: Consider the following planes. 3x + 6y-z = 126 x - 12y + 2z = 0 (a) Find the angle between the two…

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Q: Find the equation for the hyperbola whose graph is shown. -10 F1 (-5, 0) -5 y 10 5 0 -5 -10- F2 (5,…

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Q: The values of two functions, f and g, are given in a table. One, both, or neither of them may be…

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Q: Question ( correct for the series 3): Which of the following is n=1 Select one: O equals. O equals…

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Q: The function f(x, y) = 5 - 3x² + y² + 7y + x has: Select one: O A. None of the others B. One…

A: fx,y=5-3x2+y2+7y+x We have to find how many critical points this function has.

Q: Use geometry to evaluate the definite integral. 8 26) Evaluate. 27) S 1 S (8 - x) dx x3. + 64 X + 4…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

A: We will find the equation of hyperbola.

Q: 2- Évaluer les intégrales suivantes: a = √ x√x + 5 x ₁² dx x2 2- Evaluate the following integrals:…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q Ay 25- 20- 15- 10- 5A…

A: given,

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-2 9x - 4 f(x) =…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x² +5 and dt dy Find when x = 1. dt (Simplify your…

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Q: Use the double integration find the area of the parallelogram whose vertices are A(1,0), B(3,1),…

A: Area of parallelogram

Q: Find the relative extrema of the function and classify each as a maximum or minimum. -2)2/3 5) f(x)…

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Q: Without using a calculator, for the following, find the length of the curve over the given interval:…

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Q: Page 1 Page 2 Example 2.1.6 Consider the integral = [(a log₂ (x)) da

A: Given     ∫ (x ln x) dx

Q: Find all values of c such that fis continuous on (-∞, ∞). 7-2², a se f(x)= c=2.193 -{} c= 3.193…

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Q: SPA 32 Select one: True ● False dx dy = 13 2

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Q: 8. Graph the curve and find the area that it enclosed: r = 2 cos(0).

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: Find y' and the slope of the tangent line to the graph of (3x-2y)5 = 2y2-9 at the point (1,2). y'=0…

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Q: 6. Find an equation of the tangent line to the curve at the indicated point: (t) = t cos(t), y(t) =…

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Q: Consider the following. u = (-7, 3, −2), v = (0, −4, −3) (a) Find the projection of u onto v. 42 25…

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Q: The normal vector to the tangent plane for the surface xy² z³ 2 3 = -4, at the point (1, 2, -1) is:…

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Q: a) f, if any. Let f(x, y) = 2x² + 2y² - 3xy - 2. Find the local maximum and minimum values and…

A: The given function is: f(x,y)=2x2+2y2-3xy-2

Q: 14. Determine whether the triangles are similar. If they are, write a similarity statement. Explain…

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Q: Determine the x- and y-coordinates of the trapezoidal shape. 2.9 b Answers: (x, y) = (i 1.8 b ) b

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: a) [ Sketch the region R. 1 b) [] Set up the double integral that represents the area of the region…

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