Consider the function 7x y² At a point (a, 3) the derivative in the direction (6,5) is 3√61. Determine a. f(x, y) =

Q: Determine the set of points at which the function is continuous  F(x,y)= x2+y2+1/x2+y2-1

A: Given the function  F(x,y) = ( x2 + y2 +1) /(x2 + y2 -1)  We need to find set of points wher this is…

Q: Consider g(x, y, z) = ey² + 2y - yArcsinz (a) Find the three (first-order) partial derivatives of g.…

A: Given that , gx,y,z=exyz+2xy-ysin-1z

Q: -3/2 Evaluate (100)-³ without using a calculator. If the value is not real, enter dne.

A: -100-32

Q: The following limits represent the slope of a curve y = f 1x2 at the point 1a, f 1a22. Determine a…

A: Slope of a curve at point 'a' is given as limh→0fa+h-fah

Q: The Surface Area (S) of a particle changes with its Weight (w) and Height (h) by: S = 0.007184w0.425…

A: See the details solution in below

Q: Answer: Question 21 Marc paid $1238.46 for some supplies, including the tax. If the tax was 14%,…

A: We need to find original price.

Q: Skill Practice 3 Find the midpoint of the line segment with endpoints (-1.5, -9) and (-8.7, 4).

A: Given data, A -1.5,-9 B -8.7,4

Q: Find a homogeneous linear differential equation with constant coefficients whose general solut y =…

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Q: 2. Obtain the DE of the family of hyperbole with center at the origin.

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Q: 5 Find the slope of the tangent to the curve f(x) = √x at the point where x = 1 16

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Q: Extended Power Rule Find the derivative of the following functions.

A: Given function: f(x)=3x-9 b To find the derivative of the given function.

Q: Find the differential (a) dy = of each function. U + 3 U-3 y = (b) y = (1+3³)-2 dy =

A: Given a) y=u+3u-3 b) y=1+r3-2

Q: From fe* cos z dz = e² sin z - fe² sin z dz and fe* sin z dz = - e² cos z - Solve: fe* cos z d fe²…

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Q: Sales (in thousands) 1000- 500 1994 1996 1998 ● 2000 Year ● 2002 2004 2006 The sales (in 1000's) for…

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Q: S (3x - 2)sin(6x)dz

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Q: Compute the derivative of f(x) =x^(1/3) + 8  using the definition of derivative.

A: Solution:

Q: Determine whether the following statement is true or false, and explain why. eln(- 2) = -2

A: Given data:- eln-2=-2

Q: Write an equation describing the relationship of the given variables. y varies directly as the…

A:

Q: Derivatives by two different methods a. Use the Quotient Rule to find the derivative of the given…

A: Given function: f(w)=w3-ww   (a) To use Quotient Rule to find the derivative of the given function…

Q: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root…

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Q: dz Given x³y² + 2x¹z³ + 3yz² = 0, Find əx a. b. C. d. -3x²y²-8x³z²³ 6x4z²-6yz 3x²y²-8x³z3 -6x4z²+6yz…

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Q: Explain the Bessel function.

A: Concept Used: Bessel function General form of the Bessel function is: y(x)=AJn(x)+BYn(x)

Q: A manufacturer can produce 2970 cell phones when x dollars is spent on labor and Y dollars is spent…

A:

Q: Skill Practice 4 Graph the equation by plotting points. * + y = 4

A: Given: x2+y=4

Q: Find all solutions of the equation cos x (2 sin x + 1) = 0. on the interval [0, 2π). The answers are…

A: cosx2sinx+1=0

Q: For Exercises 71–74, use a graphing calculator to graph the circles on an appropriate square viewing…

A: 71. Given curve : x2+y2=36   The graph of the curve is given below : Where, center is (0,0) and…

Q: 79. Suppose that d represents the distance between two points (x1, yı) and (x2, y2). Explain how the…

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Q: Find all points on the graph of the function  f(x) = 2 cos(x) + cos2(x)  at which the tangent line…

A: Find all points on the graph of the function  f(x) = 2 cos(x) + cos2(x)  at which the tangent line…

Q: 1. Solve for y: (a) x² + y = 20 (b) 3y - t = t³-y (c) xy + zx = y (d) 2ye - e In x = 3x4

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Q: So is it a DNE?

A: Given;- Limx-infinity (2x3+1)/(24x4-x3)

Q: Find the domain of function defined as follows.

A: Given, y=3x-4x

Q: Write the equation of the tangent line to the curve (a lemniscate) 2 (x² + y²)² = 25 (x² - y²) at…

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Q: | f(x, y, z) = yz²arctan(x), at the point u = = (1, 1, 2), in the direction v = (1,1,1)

A:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Slope of curve is derivative of this curve

Q: se the graph of the function below to establish the sign of its second derivative

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Q: If 2x² + 3x + xy = 4 and y(4) = 10, find y'(4) by implicit differentiation.

A: Here,              We have given a function now we have to find out y'(4) by doing implicit…

Q: Find the shortest distance from the POINT (1, 0, -2) to the plane x + 2y +z = 4 (round-off the final…

A: Given equation of plane isx+2y+z=4

Q: x-1 Compute the limit lim 2-12² Give your answer as an integer or a fraction. If the limit does not…

A: Please check the answer

Q: Determine whether the following statement is true or false, and explain why. The function ƒ(x) = 3x2…

A: Given data:- The given function is, fx=3x2-75x+2

Q: For the function y a. Find f'(2) df dx = f-1(y) c. Find b. Find a formula for x = = = at x = 2. 1…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: By using partial fractions to find the following indefinite integral.∫2x3-12x2-79x+39x2-6x-40 dx

Q: R.1. Simplify the radical. V48 R.2. Given a right triangle with a leg of length 7 km and hypotenuse…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: 4 Determine whether y(x) = 2e + xe is a solution of y" + 2y + y = 0. 5 Is y(x) = 1 a solution of y"…

A: The given differential equation is; y'-5y=0

Q: Find the directional derivative of f(x, y) = x²y³ - 49 at (2,-1) in the direction of = 21 +5]

A:

Q: Use algebraic techniques to determine whether odd, or neither. -2x7 - 1 3x³ + 9x is even,

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Q: Solve the following initial-value problem: y' + (tan x)y=cos²x; y(0) = -1 O O y = (cos x) (sin .x -…

A:

Q: How can you use the derivatives

A: Use the derivatives to prove the following: ddxsin x=cos x Let fx=sinx and fx+∆x=sin x+∆x.

Q: webassign.neyweb/Stu ny Assignment-Responses/submit Complete the table. (Round your answers to five…

A: We have to find limit value at x=0.

Q: 1 Find the explicit solution to the equation L dI + RI dt = 0

A:

Q: Find the 20th derivative of y = cos(2x).

A: y=cos(2x)