2. Determine whether y varies directly with x. If so, find the constant of variatic 3y -7x-18 Oyes; 3 Oyes; -7 Ono Oyes: 7/3

Q: s) find y"= f"(x), given x+y =16 in simplest form.

A:

Q: Given the function y=3√x. Find d2y.

A: Given

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A: Given function f(x,y)=1236-9x2-12y2

Q: If y varies directly with x, and x = 7 when y = 28, find y when x = 13. %3D Oy = 42 O y = 17 Oy = 52…

A: y varies directly with x.  ⇒y α x⇒y=kx     →1  , where k is the proportionality constant. Also given…

Q: (c) Find the slope of the curve x²y + xy? = 6 at the point (2, 1).

A:

Q: If xy+y^3= 1, Find  the value of y" at the point where x=0

A: To find the value of y at x=0, substitute 0 for x in the equation xy+y3=1 and simplify.…

Q: Find a direct variation model that relates y and x. х%3D 7, у %3D 16

A: Given:- x = 7 and y = 16 Find Direct variation model that relates y and x

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Q: Find all possible functions with the given derivatives. a. y'=7x^6 b. y'= 7x^6 c. y'=8x^7-7x^6-7

A:

Q: Q2) Find Fxx, Fyy and Fyx For the function F(x,y) = (x+y) (y + 1)* .

A:

Q: Find the indicated value of the function f(x,y) = 2x + 6y - 2. f(4, – 2)

A: We the the value of f(4,-2).We Put the given points in the given function.

Q: Assuming 0 < c < d, find the value of b (in terms of c and d ) for the function given

A: given: 0<c<d. the given integral is∫cdx+bdx=0 ∫cdx+bdx=0x22+bxcd=0d22+bd-c22+bc=0

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the indicated value of the function f of a single f(y) = K(7,y) for K(x.y) = 7xy + 6x - 5y +6…

A: Put value in function

Q: Please solve and simplify

A: To determine the first order derivative of the function.

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A:

Q: The position function of a particle is given by s(t) = 3t2 – t3, t> 0.

A: We have given the position function S(t) which gives us the position of the particle at time t…

Q: Find y as a function of t if 25y"- 70y' + 53y = 0, and y(5) = 8, y'(5) = 1. %3D y = %3D

A: Given: 25y''-70y'+53y=0  with the IVP y(5)=8 ,    and   y'(5)=1By…

Q: If x2+xy+y3 =1, find the value of y" at the point where x=1.

A:

Q: Which of the following formula is used to get the the equation of the slope of a line tangent to a…

A: Given query is to find the correct option for the slope of the tangent.

Q: For what value of x does the function g(x) = Ex + 2x? convex? -- x> 1- В. x< 2 C. x< 2 D. x 2 1 A.

A:

Q: F (10,14.1421) 20x = y2 %3D G (27.1, – 23.2809) Slope: m = -2.1885

A:

Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js -0.15 A) 0.15 B) C) - 0.8 0.8…

A: We will find out the required value.

Q: Determine whether y varies directly with x. If so, find the constant of variation k. -6y = -5x O…

A: -6y= -5x

Q: y = -2Vx + 3 - 7

A:

Q: Find the local extreme values of f(x, y) = 3y² – 2y³ – 3x² +6xy

A: According to Second Derivative Test for Local Extreme Values Suppose that f(x,y) and its first…

Q: -Find a, b to Continu e The function ãt X=3 if x >3 ? X = 3 ax+b flx) = 2a-b+1 6x-a+3 X 3

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Q: h varies directly as t. If h is 15 when t is 6, find t when h is 25. a. 2.5 b. 3.6 С. 10 d. 30

A: Given:

Q: If  x2 + xy + y3 = 1,  find the value of  y'''  at the point where  x = 1.

A:

Q: what is z when x=11 and y=1?  z=?

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Q: Let f(y)=√y and g(y)=y+1 Find? f(g(y))?

A: Given:  f(y)=y g(y)=y+1     To deteremine:  f(g(y))

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Q: Find the x-coordinate of the inflection point(s) of y = f(x)

A: The function is called concave up in an interval if the opening is upside of the graph.

Q: For what values of a, does the function z = x°e¯i satisfy the equation Y Zyy = Zx – Zy ?

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Q: Find a direct variation model that relates y and x. х%3D 5, у %3D 12

A:

Q: - JH is a midsegment of AKLM. Find the value of x. x+7 H. J

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Q: Let f(y)=√y and g(y)=y+1 find? f(g(4))=?

A: Given: f(y)=√y and g(y)=y+1   To determine: f(g(4))

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A:

Q: If F = 3x?i + 5xy²j+ xyz³k, find (V x F) at the point (3,1,2).

A:

Q: Let z be a constant. Find the y" if y = v1 + 2zt + 5z?t3

A: given y=1+2zt+5z2t3 find the derivative  y'=121+2zt+5z2t32z++3×5z2t2y'=2z+15z2t221+2zt+5z2t3

Q: Find the slope of the line.  Rx + Sy=T

A: To find the slope of the line.

Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

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Q: O Find The Slope og xy=8 at The point (a,2) O a O - 1 O a O d O c O b

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Q: Suppose z varies directly with y and directly with the cube of x. If z=1792 when x=4 and y=7, what…

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Q: Consider the following equation. x² + xy +y° = 1 Find the value of y at the point where X = 1.

A:

Q: The following linear plot is derived from a function of the form y = ae, where a and b are…

A: Given that: y=aebx