Find the derivative of the function. g(x) = 6x ² - 1 [Sx U 4x u²+1 du

Q: Verify Green’s theorem in the plane for R C (3x 2 − 8y 2 ) dx + (4y − 6xy) dy, where C is the…

A: Given:

Q: Consider two nonnegative numbers x and y where x + y = 2. What is the maximum value of 11x²y? Enter…

A: Let's find maximum value of function.

Q: Find the slope of the following lines.

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Q: We conclude by showing the max and minimum points. maximum (2,26) minimum (1,1) maximum (-2,-26)…

A: d dx(xn)=nxn-1for critical points  put f'(x)=0fot critical values of x  if  f''(x)>0  minimum and…

Q: Use polar coordinates to set up and evaluate the double integral JJ f(x, y) = 5arctan, R: x² + y²…

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Q: Find an appropriate change of variables (and then use it) to evaluate 1/₁₂ (x + y)² ex²-y² dx dy R…

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Q: At what point (x, y) is the function f(x) = -8x - 8 closest to the origin? Enter an exact answer.…

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Q: 2. The position of a rider on a Ferris wheel is an example of periodic motion. Find three other…

A: 1 )A Rocking Chair

Q: Evaluate sin(-945°) without using a calculator. 1.-1 i 2. 3. 4. 5. None of these None গোলান 6. 7. 8.…

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Q: 4. 3 2 (D+D²_5D+3) y = 0

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Q: In(x)-In(x-2)=3 Solve for X

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: In step 3, how did you know to use yp = ( 1 / (D^2 + 9) ) 4sin(2x)?

A: The given initial value problem y''+9y=4sin(2x), y0=1, y'0=1. We have to find the solution of the…

Q: 21-22 Find y' and y". 21. y = x² ln(2x)

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Q: Evaluate √80 22² x²e-x² dx.

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Q: If a company has total costs C(x) = 10,000+ 15x + 0.2x² and total revenues given by R(x) = 265x…

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Q: 3 Given the function of f(x) = -1 + on the interval [-8, -2], find a point c between -8 7x and-2 so…

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Q: Find the slope of the following lines.

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Q: Show that limx-->0+ xlna/1+lnx = a, using L'Hopital's Rule. Show that limx-->∞ xlna/1+lnx = a,…

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Q: . 6. Consider the function f(x) = r³ - 2x2 defined on the interval [0, 1]. Find the point(s) on the…

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Q: Find the sum of the first 14 terms of the geometric sequence 1 9,  1 3, 1,   . (Round your answer…

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Q: At what point (x, y) is the function f(x) = 8x - 3 closest to the point (3, -6)? Enter an exact…

A: To determine the point x, y on the function fx=8x-3 is closest to the point 3, -6.

Q: If sin x = sin y = a and cos x = cos y = b, then cos (x - y) is equivalent to A. OB. C. D. b²-a² b²+…

A: Given sin(x)=sin(y)=acos(x)=cos(y)=b

Q: 37-40 Find y' and y". 37. y = cos(x²)

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Q: (a) The Cartesian coordinates of a point are (1, 1). (i) Find polar coordinates (r, 0) of the point,…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Use linear approximation, which is mathematically expressed as L(x) = f(a) + f '(a)-(x - a), In…

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Q: Determine the vertex, pocus, directrix and axis of symmetry of the parabola with the given equation.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: If f(x) = (3x -5)e-2x , find f'' (x)+ 4f' (x) + 4f(x)

A: To determine the given value with derivatives and function

Q: Describe and sketch the following set of points defined by the following conditions. (x + 2)² + y² +…

A: Given : we have a surface     (x+2)2+y2+z-12=9 and with the conditions :   x≥-2, y≥0, z≥1    To find…

Q: The area of an ellipse with axes of length 2a and 2b is A = tab. Approximate the percent change in…

A: Topic = Area

Q: What is the x-coordinate of the point of intersection for the two equations shown below? ما الإحداثي…

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Q: Convert (y) = 5 to an equation in polar coordinates. 7.12 Note: use "t" for

A: Given query is to find the equation of the polar coordinates.

Q: Suppose an individual makes an initial investment of $2,600 in an account that earns 6.6%,…

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Q: Compute the gradient of the following function, evaluate it at the given point P, and evaluate the…

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Q: Determine if the following series converge or diverge. If convergent, find the sum. You must show…

A: a.

Q: Find the derivative (simplify, but do not rationalize): f(x) = sinh ¹(x³)

A: Given: f(x) = sinh-114x3

Q: Find the differential of: y = 6 ln(6x +49) dy = And just to make sure you understand the difference…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the Chain Rule to calculate the partial derivatives g(x, y) = sin(x² + y²), x=4u+3v, y = v — 3u…

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Q: Jonathan uses this area model to show the product of two mixed numbers. Complete the equation to…

A: Here we have given an equation model as given below: Now solving this model we get:

Q: Use the Integral Test to determine the convergence or divergence of the series. 2 Σn=15m+7

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Q: Directions: Show all your work neatly and in order. 1. Find the mass of the solid E bounded by the…

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Q: f(x) = x³ − 15x² +27x2. F

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Q: "roblem 9. True or False. Explain your choice carefully. is convergent. nv2, n = 1, 2, 3, ... is…

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Q: Find the eigenvalues of the upper triangular matrix [3 4 5 0 6 7 0 0 8]

A: The given matrix, 345067008 We have to find the eigen values of the matrix.

Q: Find the future value (in $) of an ordinary annuity of $600 paid at the end of every 6-month period…

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Q: Determine the vertex, focus, directrix and axis of symmetry of the parabola with the given equation:…

A: Given Equation:- 3y2+8x+24y+40=0

Q: Find the slope of the following lines.

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Q: Suppose Find the value of f(ln 11). f(ln 11). d da -f(x)=e³a, f(0) = 6.

A: Integrate the given differential equation and then go ahead.

Q: d (a) / ₁ (t²-1)²dt. -10 -10 (b)/(t²-1)²dt. (c) d dx 32² -10 3x² (t²-1)² dt. d (d) — (t²-1)²dt. dx…

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Q: 1 1 1 Calculate the gradient of h(x, y, z)=33 Vh = h (2xi) + 3yj + 3zk

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Q: SHOW COMPLETE SOLUTION A right circular cylinder is given. A slice perpendicular to the bases…

A: As we know that Volume of a right circular cylinder is πr2h, where r and h are radius and height of…