Find a unit vector in the direction in which f(x, y) = 8 cos(3x − 5y) ㅠ P(20), and find the rate of change of f 6 20. decreases most rapidly at P( at P in that direction. NOTE: Enter the exact answers. u= -Vƒ(25)=[ 6 20.

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Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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A: we wil find the required equation of plane.

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Q: Evaluate the following limit: lim O O O 6x²+17x-3 lim x→∞ 5x²+14x-3 6x²+17x-3 lim x→∞ 5x²+14x-3…

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Q: Consider the function f(x)=eXx. Select all that apply. Select 3 correct answer(s) f(0) is positive.…

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Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 O A 4 OB.…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) A. For…

A: Order: The highest order derivative of dependent variable present in the differential equation is…

Q: f(x)=(2x+1)^4. A) Find an equation for the tangent line to the graph of ff at x=2…

A: Givenf(x)=(2x+1)4

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A: Find integrating factor of linear differential equation

Q: 5 5 3 Suppose ff(x) dx = 25, f f(x) dx = 10, f g(x)dx = 10 and h(x) = = 3 0 0 the following: 0 b.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Use synthetic division to determine if the given value for k is a zero of this polynomial. If not,…

A: By using synthetic division method the solution of given problem is as follow

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Q: 1. Given the vectors a³ = (2, −1, 3), b` = PQ` where P(1, 1, 1) and Q(5, 1, −1) and c³ = i̇ + j³ +…

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Q: 2. Use the graph below to determine whether the statements about the function y = f(x) are true or…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, the…

Q: What is the order of the equation y" y- (y')³=4?

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Q: Explain how the domain of g1x2 = 2x compares to thedomain of g1x - k2, where k Ú 0.

A: Given, gx=2x

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A: Differentiate both side with respect to x

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Q: lim h→0 f(−4+h)-f(−4) h

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Q: d (h) Find sec (arctan (0~))] do

A: We need to find out the derivative.

Q: the ideas presented in this section, what do you think is thearea under the curve of y = 2- x…

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Q: 2 5. Sketch the region bounded by the curve x 2 = y and the line x = y + 2 and find the volume of…

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Q: dy Which of the following is TRUE about the differential equation x +y dx A. The equation is…

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Q: Graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the…

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Q: 1. Solve for Txyz given the function T(x, y, z) = z tan (In x - √y)

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: Determine the degree, order, and whether it is linear or non-linear (y") ³-4y²=105x

A: Determine the degree,order, and whether it is linear or non linear

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2 OA. 4 OB.…

A: To find the value of C

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A: Given query is to find the integral.

Q: (g) Differentiate g(x) = /1-². cos¹ (√) 3

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Q: Which of the following statement is TRUE? O A. An ordinary differential equation (ODE) contains…

A: We have to find correct statement from given statements for the differential equations.

Q: Solve for the value of C in the equation: (2xy¹ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0 when…

A: uation Given differential equation of the formMdx+ Ndy=0

Q: 01

A:

Q: Which of the following is a non-homogeneous function? tan³y/x | xLnx − xLny x³ - xy + y2 (y² +…

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Q: Which of the following equations is NOT a variable separable differential equation? OA. 2xydx + (x²…

A: NOTE: Refresh your page if you can't see any equations. . check the first DE now all x variables…

Q: Determine the solution of the differential equation: 3(x² + y²) dx + x(x² + 3y² +6y) dy = 0.

A: To determine the solution of the following differential equation. 3x2+y2 dx+xx2+3y2+6y dy=0

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. B. ev eLny y O D.y O E.…

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Q: Which of the following equations is NOT a variable separable differential equation? A 2xydx + (x² +…

A: See this solution in below.

Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

A: A Separable differential equation is any equation that can be written in the form of dydx =…

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 - A. 1/4 B. 1/2 C. 3/4…

A: Find integration factor first as it is linear differential equation