Consider the ellipse foci? (x-5)² 256 + (y-7)² = 1. From any point on the ellipse, what is the sum of its distances from the 400

Q: Find a particular solution to the nonhomogeneous differential equation y" +25y = cos(5x).…

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Q: Find equations of level curves containing a point Find an equation of the level curve of the…

A: Given fx, y=y2arctanx

Q: Find the PS for (x²y" + 2xy' - 12y = 0 y(1) = 1 y'(1) = −1

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: Sketch the plane curve. r(t)=3ti-tj, [0, 3] y 2 Find its length over the given interval. 6 6 8 8 10…

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Q: Using Linear Approximation, estimate Af for a change in x from x = 100 to x = 94. f(x) = √√x (Use…

A: fx=1x Here, x changes from x=100 to x=94.

Q: Find the point on the ellipse x² + 4y² + 2xy = 12 with the greatest x-coordinate.

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Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min, and its coarseness is such that…

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Q: Find the derivative of the function. y = (tan-¹(3x))² y' =

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Q: pr 1) Given the position function s(t) = 2+²³ - 2 + ² - 60t + 3₁ where it is in seconds and s is in…

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Q: In Exercises 13-16, find and sketch the level curves f(x, y) = c on the same set of coordinate axes…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A: NOTE: Refresh your page if you can't see any equations. . sbstitute x=0.2

Q: Calculate Dot Product (2, 4, 5) and 6 Let a = Find a . b. (5, — 1, — 5).

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Q: A bacteria sample initially has 300 organisms. After 2 hours there are 500. Write an equation that…

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Q: Solve y" + 2y' - 3y = 1 + xex O y = C1e^-3x + C2e^-x + (1/8)x^2 e^x - (1/16)xe^x - 1/3 O y = C1e^-3x…

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Q: Give an expression for f(x) using only real-valued coefficients, having degree 4, and roots x =…

A: The given roots are x=4, x=-9, x=-1-5i.

Q: A kite 50ft above the ground moves horizontally at a speed of 4ft/s. At what rate is the angle…

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Q: The height y, in feet, of a ball thrown by a child is 1 -x² + 6x +5 y = 14 where x is the horizontal…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: Precalculus express the logarithm in terms of In 2 and In 5 In 2000

A: Here we have to solve the logarithm.

Q: 65. Find limx→ f(x) if 23m 4x - 1 intox ob vdW for all x > 5. · <f(x) < S+x81 4x² + 3x 2 x²

A: Here we have to find the limit.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 2x +…

A: Given functionnf(x,y)=x2+xy+2x+3y+2

Q: Evaluate the double integral by first identifying it as the volume of a solid. 12 18 (8 - 4y)dA, R=…

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Q: Brain weight B as a function of body weight W in fish has been modeled by the power function B =…

A: We need to find rate of Brain growing.

Q: 6x g(x) = -5x8 + (a) | 19 (1) a (b) 1 g(a) (c) g(√a)

A: Given query is to perform indicated function operations.

Q: Refer to the graph to the right and follow the directions in parts (a) through (f). (a) Is a > 1 or…

A: NOTE: Refresh your page if you can't see any equations. . for the exponential function  the equation…

Q: Given the position function s(t) = 2+³ - 2 +² - 60++ 3₂ where it is in seconds and s is in ft, Find…

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Q: 2x+y=1" H...

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Q: If f(x) = 2x² - 3x + 6, find f'(5). Use this to find the equation of the tangent line to the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 29. f(x) = 3x² + x - 2

A: As per the company rule we can answer only first question and rest can be reposted.

Q: Find a vector orthogonal to both (2,3,0) and to (0,3,4) of the form. 41,0, 07 for olmas

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Q: Use a reference triangle in an appropriate quadrant to find the given angle. 2 (7/3) sec sec (3/3)-0…

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Q: 4) Find the equation of the tangent line to the function f(x) = 3 at x = 1. Round the slope to one…

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Q: Perform the following operations on the vectors μ = (3,-2), 7 = (0, −5), and w = (-4,-2). ü.w=…

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Q: Differentiate y = ex+2 +9.

A: Given function is y=ex+2+9 We need to find the first derivative of the given function.

Q: 1 y=x2y = x, y = ४00 8

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Q: If f(x) = 6 + Find f'(3). 7 x + 2 x² find f'(x).

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find three positive numbers whose product is 117 such that the sum of their squares is as small as…

A: Let three positive numbers are x,y and z

Q: Answer seems to be wrong

A: Given function:- 8x2-y2-7z=362

Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

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Q: 4. 5 сos(x-3) dx

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Q: Find the distance (d) between the planes x d = - 3y + 2z = 3 and x 3y + 2z = 1.

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Q: Sketch the region enclosed by the given curves. Draw the approximating rectangle, label its height…

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Q: Compute the surface area of revolution of y S I 4x + 3 about the x-axis over the interval [0, 5].

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  the given interval…

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: 2. In a. and b. (below), show that y₁() satisfies the given differential equation. Then, use the…

A: Given data:- The given differential equations, (a); 2t2y''+ty'-3y=0,       y1t=t-1 (b);  4x2y''+y=0,…

Q: y-values 9 8+ 7+ 6- 4 3- 2 1 2 3 x-values 4 5 y-values 4- 3 2- 14 h(x) 1 2 3 x-values 5

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Q: Find Cross Product Let à = (3, – 3, — 4) and 6 = ( − 2, – 3, 5). Find à x 6. V

A: Given query is to find indicated cross product.

Q: Differentiate the function. g'(t) = g(t) = In t(t² + 1)8 3 4t 1 -

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Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

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Q: Find Distance and Equations in R³ Find the center and radius of the sphere with equation (x − 1)² +…

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