Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0), (2, 0, 6), and (-2, -1, 9). Submit Answer View Previous Question Ques

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: Find the percentage rate of change of f(x) at the indicated value of x. f(x) = 310 + 65x; x = 3 The…

A: We have to find percentage rate of change

Q: 1. Find the gradient of the function f(x, y) = x² sin y.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: The gradient vector of the function f defined by f(x,y)= In(1+7x² +5y²) is equal to Select one: O…

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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: The Integral ffyr² dydx can be written as Select one: O So yx² dady Spa

A: Need to change the order of the integration and select the correct option. Given information: The…

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: Reversing the order of integration in the integral SS²ydydx equals: Select one: A. None of them B.…

A: Since you are asking multiple questions. We are answering only the very first question as per ous…

Q: The minimum value of the function f(x, y) = x + y subject to constraint x² + y² = 2 is not equal to…

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Q: 2) [3 Solve the IVP: y" - 6y + 8y = 0, y(0) = 0, y' (0) = 2.

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 7x² + 2, [-1, 2] -(0,2…

A: The answer is given below:

Q: Q2) [ Given the function f(x,y)=x²-6x+y²-6y+8 a) Find all critical points of f. b) Find the maximum…

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Q: Without using a calculator, plot the point whose polar coordinates are given by first constructing…

A: Follow the procedure given below.

Q: Find an equation for the ellipse whose graph is shown. y 0 (10,5) 15 X

A: Consider the ellipse  Consider the graph

Q: 1) (. B enclosed by the curves Find the exact area of the region y=x² and y=x+ 20. Write your answer…

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Q: The directional derivative of a differentiable function f(x, y) in the direction of a unit vector u…

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Q: Question оо Select one: O 0 O None of them. 8 WIN s): Evaluate 02 2n³ lim n→∞ n³ + 3

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Q: Let f(x, y) = 6 - x² + 2y²-5x - y. The point (,) is a saddle point of the function Select one: O…

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Q: Consider vector field: F = e i-cos y j+ sin² z k. Obtain divergence and curl for F at points (0,,).

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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: Assume that x = x(t) and y=y(t). Let y = x³ +5 and dt Find dt dy dt when x = 3. (Simplify your…

A: Here is the solution:

Q: a) [ : Find the volume of the solid obtained by rotating the region bounded by the lines «<math y =…

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

A: Follow the procedure given below.

Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

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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: Please

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Q: The equation of the tangent plane to the surface x2 at the point (-2, 1, 3) is Select one: +2y z-3…

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Q: Without using a calculator, sketch the parametric equations by eliminating the parameter. Indicate…

A: The given parametric equation x=4+2cosθ and y=-1+sinθ

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

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

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Q: Find an equation for the line perpendicular to 3x + 27y= 135 and goes through Write your answer in…

A: Topic:- coordinate geometry    Hint:-  if slope of line is m than Slope of perpendicular line  to it…

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

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Q: Complete the table for f(x) = f(x) Round the values of f(x) to five decimal places. Enter your guess…

A: The given function is;  f(x)=2sqrt(x2+x) /(x+3).

Q: Consider the following. x = 3t + 8, y = 8t + 3 (a) Sketch the curve by using the parametric…

A: Given that      x = 3t+8  , y = 8t+3

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

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q 25- 20- 15- 10- 5- 64…

A: Given graph of function

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 2. X-4 8x-7 f(x) =…

A: We can solve this as follows:

Q: Give an example of a function f (x) that has one  positive derivatives on the range (−1, 0) and a…

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Q: Use the differential to find a decimal approximation of the radical expression. Round to four…

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Q: The double integral √ √ ₁ (3. R (3x² + 2y), where R = [1, 2] × [-1, 2] is equal to Select one: O 18…

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Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

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Q: Current Attempt in Progress Evaluate the integral by applying the following theorems and the power…

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Q: Use a double integral to find the EXACT area enclosed by the graph of r = 3+3 cos 0. 8=1/2

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Q: II. Solve each of the given LDE of order n. 1. (D-4D³ +3D³) y = -27

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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: Find the limit. lim (3x-4)

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Q: llowing is true for the ser 8 Σ n=1 n 2n + 1 = others to 2 to 1/2

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1