What is the derivative of f(x) = Select the correct answer below: O 4V/2 O 2012 3 O w/s O 16V/2 о 3 O 5√2 3 xat the point x = 4?

Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁-120x +90y + 120z =…

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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: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [e³ 34x dx =…

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Q: A farmer has 2,400 feet of fencing and wants to fence off a rectangular field that borders a…

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

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Q: 3x 1+x* 4. Find a power series representation for the function f(x)=; and find its interval of…

A: Please see the below picture for detailed solution.

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: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: nd the area of the surface over the given region. Use a computer algebra system to verify your…

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Q: (e) Determine whether the following series converges or diverges by using the comparison test: Σ 1=0

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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: Use partial fractions to find the power series of the function: 8 n=0 11x² + 629 (x² + 64)(x² + 49)

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Q: ƒ7 In ()dx if sec¹ (3x) dx

A: Integration by parts: ∫f(x)·g(x) dx = f(x)·∫g(x) dx - ∫ddxf(x)·∫g(x) dx dx

Q: b) [.. Determine whether the series Σnºen-7 n=1 is convergent or divergent.

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Q: Find the power series for f(x) = ln(1 − x) centered at x = 0 by using term-by-term integration or…

A: Given  fx=ln1-x

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

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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 function f(x, y) = -2x² + 4y? - 11 has a local minimum at the point (0, 0). Select one: O True O…

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Q: f(t) = t cos t L{f(t)} = (s > 0)

A: Follow the procedure given below.

Q: Evaluate the integral with the aid of an appropriate u-substitution. Simplify the answer, if…

A: In this question we have to solve the Integral.

Q: The gradient vector of the function f(x, y, z)= ln(yz) - x² is: 2 Select one: 0 (-2x,1,1) O None of…

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Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y+1? 2 Select one:…

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Q: Consider the following. 7|x - 21 x-2 Find the x-value (if any) at which f is not continuous. Is the…

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Q: Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are…

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Q: 7. Given r 2 sin(0) for T/2 ≤ ≤ 3π/2. = (a) Graph the region described above. (b) Using basic middle…

A: Given data÷ r=2sinθ ,π2≤θ≤3π2   a) The graph on the interval is a circle and is given below

Q: dy_y-x dx y + x

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Q: Find f'(x) when f(x) O O O f'(x) = O O f'(x) = f'(x) = f'(x) = f'(x) = GREEN (x² + 3) cotx 6-…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. J tan6(9x)…

A: The objective of the question is evaluate the indefinite integral with substitution method.

Q: The function f(x, y) = -2x² + 4y² - 12 has a local maximum at the point (0,0). Select one: O True…

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Q: dy d²y Find and dx dx² x=t² + 4, y = t² + 9t 11 dx d²y dx² For which values of t is the curve…

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Q: 11. Calculate the Riemann Sum R(f, P, C) for f(x) {-3,0,2,5} = 2x + 3, P = {-4,-1, 1, 4,8}, C =

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

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Q: Question 2 [2 Consider the matrix B= = (a (t -1 2 1 -1 2 1 -1 -2 0 Use the cofactor exapansion to…

A: We have to find the determinant.

Q: (c) Use the ratio test to determine whether the series is absolutely convergent, conditionally…

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: Please see the below picture for detailed solution.

Q: 1. y (x²-y²2) dx + x(x² + y²) dy = 0

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Q: Find the general solution of the differential equation y" - 10y + 125y = 0. NOTE: Use c₁ and ce as…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 3 S[ ²…

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Q: The area of the region {(x,y) ER² | -2≤x≤9, -3≤ y ≤ 4} is not equal to the double integral dxdy.…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Suppose that f(x) (here f(n)=an) is a continuous ,  positive and decreasing function on the interval…

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact…

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

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

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Q: Find f'(x) and simplify. f(x)= Which of the following shows the correct application of the quotient…

A: We can solve as follows Do not confuse in round bracket and close bracket. They are same in this…

Q: x² + y² - z² = 9 (u, v) = Determine the tangent plane at (3, 0, 0).

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

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Q: 2. Which definite integral approximation formula is f(x) dx = Left rectangles Right rectangles…

A: The given formula is;  Integration of f(x) , limit from a to b = (b-a) /n [y0+y1+y2+y3+...+yn-1].

Q: 4. Determing whether the following series are absolutely convergent, conditionally convergent, or…

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Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

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