-3x+6y = 9 x-2y = -3

Q: Give two points, as ordered pairs, that are not in the domain of this function.

A: Domain: A set of values for which the function is defined is called Domain of the function. So the…

Q: Let Find dy || ¹. y = f(x) = arcsin In 7x. dy dx

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Q: Find the equation of the tangent plane to f(x, y) = exy + xye¹-x at (0,1).

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Q: Q 5. Solve the following IVP. y" + 3y + 2y = g(t), y(0)=0 y' (0) = -2 2 g(t)= t t<6 6<t<10 t≥ 10

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Q: At what values of x does the graph of y = e + 2xe-" + x²e have a point of inflection B C x = -1 only…

A: Given Equation:- y=e-x+2xe-x+x2e-x

Q: Give the appropriate form of the partial fraction decomposition for the following function. 3x…

A: Topic -Partial fraction decomposition We are given, 3x(x-1)2(x2+3)

Q: Given the function h (x) = 9x¹ - x² A) Factor: h(x)= [Select] B) Determine the real zeros: [Select]…

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Q: Given vectors from the origin r = 3a, + 8a, +a, r=a, -6a, + 5a,, and rc = 7a, - 48,, find: (a) a…

A: The cross product two vectors, say a= a1ax+a2ay+a3az and b = b1ax+b2ay+b3az denoted by a×b is…

Q: Which function is increasing? Ⓒ y = ln x O y = -lnx O y = -log₂ x ****

A: Which function is increasing?

Q: Let F and G be vector-valued functions such that - F(t) = (cos(nt), e²t-1, t² — 1), Ġ(1) = (1,1,−1),…

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Q: Given the graph of f(x) above, determine the real zeros and state the multiplicity of any repeated…

A: here the question of graph and function zeros  here we have to find the zero of the function  it…

Q: Evaluate the following integral using trigonometric substitution. 7x² dx (121+x²)² S What…

A: The given integral is 7x2(121+x2)2.

Q: Find the transform of the given function by use of a table. f(t) = 3e-4t sin 5t (A) F(s)- (B) There…

A: We need to find Laplace transform.

Q: 2:27 A particle moves along the x-axis so that its > velocity at time 0 < t < 18 is given by v(t),…

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Q: 2. Write the formula for area of a circle: (a) Which two variables are related by this formula? (b)…

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Q: 2. Determine f'(x). (a) f(x) = √26

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Q: Selve the following equa 2 Buen DH. ander Re Benze. Xehr...). ....

A: according to bartleby guideline we do only first part      x2dy+(2xy-x+1)dx=0    given equation is…

Q: Find the values of x, y and z that correspond to the critical point of the function: 2 = f(x, y) =…

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Q: Give an example by sketching the graph of a function f that satisfies all the given conditions.…

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Q: Find the absolute extrema of f on the indicated interval. f(x) = −3x¹/³(x − 32) on [-1,27]

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Q: (b) lim (x,y)→(0,0) x² + y² √√x² + y² + 1 − 1

A: Given limit is limx,y→0,0x2+y2x2+y2+1-1 We need to explain why this limit doesn't exist.

Q: Determine whether the MVT applies to the given f on the given interval. Explain. If so, find all c…

A: Given function  f(x)=x3,           [-1,8]

Q: Question 8 Solve the given differential equation (where the function is subject to the given…

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Q: Find the equation for a polynomial f(x) that satisfies the following: Degree 3 ■ Zero at x = -2 ■…

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Q: (b) If lim (x,y) →(5,-4) f (x, y) = 1.25, then lim f (x, −x + 1) = 1.25 ? x→5

A: Given limit is limx,y→5,-4fx,y=1.25 We need to verify if limx→5fx,-x+1=1.25 is true using the given…

Q: ... 03008 3. Graph the inequality subject to the nonnegative restrictions. Make sure to # the lines…

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Q: Integrate the given function. 2x S cos ²x dx [cos ²x dx =

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Q: 11. Find the equation of the tangent plane of f (x, y) = x² + y² + 4y at the point (0, 1,5).

A: Given- fx, y = x2 + y2 + 4y To find- The equation of the tangent plane of the given surface at the…

Q: Find the intercepts of f(x) = −2(x + 2)(x − 5)(x+4) . Enter intercepts as points. If you have more…

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Q: A quadratic function fis given. f(x) = x² + 6x (a) Express fin standard form. f(x) = x (x + 6) X

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Q: [3] Find dy for the curve given by: 4x -x²y³ = e5y +9y

A: We can find the derivative by using the implicit differentiation.

Q: the Wa Salve the... Following.. ......3x³6xy Ax (3x²+2 y.).dy. =a ... ... ... ... ..x 2y.). dy...…

A: Note :- As you want only integrating factor for both question so i am only finding this not complete…

Q: Evaluate the following integral or state that it diverges. S4e - 4x dx Select the correct choice…

A: Given query is to find the value of the integral.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 6t+ 6…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (In(x)) cos(8x)

A: Please see the below picture for detailed solution.

Q: factor the following

A: The given question is Factor the following1. b2+bc-6c23. 6x3-x2-12x

Q: Let Find the values of y = f(x) = 10x³ + 3x - 3. Y₁ = f¯¹(x)|x=83, Y2 = f¯¹(x)|x=-899 Y3 = f¯¹…

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Q: 5. Use Lagrange multipliers to find the extreme values of the f (x, y) = x² + 2y² subject to the…

A: By using Lagrange multipliers to find the extreme values of the function fx, y=x2+2y2 subject to the…

Q: H.W: Solve the following equations.. ............. der. 2 X y Xay. y.³). dx.

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Q: The following integral is an improper integral. (a) Explain why it is improper, (b) determine…

A: The following integral is an improper integral. (a) Explain why it is improper, (b) determine…

Q: Consider the following integral. Sketch its region of integration in the xy-plane. 0 LL 9-x² 6xy dy…

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Q: Find dy/dx by implicit differentiation. (5x^3)(y^2)−(7x^2)(y)=2

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Q: dy ax + ycotx = 1

A: dy/dx+ yCot(x)=1 It's a linear differential equation.

Q: 1. When you swim underwater, the pressure in your ears depends on the depth at which you are…

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Q: Consider the shape with vertices (1,3),(4,7),(0,10),(-3,5) translate the rectangle so (1,3) lies on…

A: We need to transform the coordinates.

Q: Find the derivative f'(x) of the following function. sin x e2x [A] [D] cos x−2 sin x e2x 2cos x+sin…

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Q: Identify a technique of integration for evaluating the following integrals. If necessary, explain…

A: I am attaching image so that you understand each and every step.

Q: 11-20 Find dy/dx by implicit differentiation. 11. x² + y² = 100 12. x³ + y³ = 3xy² 13. x²y + 3xy³ -…

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

Q: Question Let h(x) = f(x)g(x). If ƒ(−6) = 4, ƒ' (−6) = −2, g(−6) = 2, and g'(-6) = 5, what is h'(-6)?…

A: Use product rule of differentiation.

Q: For Dz/dt its incorrect

A: To find the derivative.