Use the graphical 2-D method to minimize subject to z = 3x₁ + 6x2 I1 3x1 x1 + x2 + 7x2 7x2 + 522 > 17 > 60 < 56

Q: find the area of a triangle using herons formula. the triangle has lengths of 610.02, 1022.5,…

A: given triangle lengths 610.02, 1022.5, 538.54

Q: 3. Determine vector and parametric equations of the plane with Cartesian equation 3x - 2y +z + 6 =…

A: Cartesian equation of plane is

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A: Expression

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Q: 4) Find vector and parametric equations of the plane that contains the two intersecting lines…

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Q: Let g(x)=3x²-6x-5 Find a. g (-2) | b. g(0) c. g(-3a)

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Q: Find all the second-order partial derivatives of the following function. v=2yet²-6y W

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: 2. Differentiate a) each of the following functions. Leave in unsimplified form. b) f(x) =…

A: 2)a) y=x6+5 sqrt(x)b) f(x)=3sinx - cos4xDifferenciate the given functions.

Q: The position of a baseball (in ft) is represented by r(t) = 55√2ti + (4 + 55√√/2t - 16t2)j. Find the…

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Q: (d²x) Q²: L {1²} dt² =?

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Q: Find r(t) and v(t) if a(t) = tk, v(0) = 7i, r(0) = 4j. (Use symbolic notation and fractions where…

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Q: Solve the following autonomous differential equation with the given initial condition. dy dt =…

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Q: Use the pair of functions f(x): = x² + 5, f(g(x)) = g(f(x)) = to find (g(x)) and g(f(x)). Simplify…

A: given

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Q: Let R(x, y) = 0.7x³y² -5x³ +6y², find the second partial derivatives: a²R oy²

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Q: Let f(x, y) = 3x² - 2x + 8y + 5y² - xy List the critical point: The critical point is a Select an…

A: We can find the critical point of the function .

Q: Given the Pythagorean theorem a² + b² = c² where a and b are the lengths of the perpendicular sides…

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Q: Consider the graph of the function g(x) given belo g(x) -2 -4- 2 0 -2 2 -N X 4

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Q: 3. Differentiate and simplify in fully factored form. a) f(x) = (1+x²2) 3 b) y = (3x² + 4)²(3 + x³)5

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Q: Find the four second partial derivatives of the following function. 5x z = 8ye

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Q: Find the Volume V(S) of the solid S generated by given R: R is the region bounded by x²+y-4=0 and…

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Q: (x = 2+t 10. Given L₁: y = 1-t;t ER and L₂: F (3,0,-1) + s(2,3,-1); SER z = t a) Determine whether…

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: Using differentiation

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Q: Given the following piecewise function, find the values of a and b so that the function is…

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Q: e) g(x) = (4x²+8)(3x4 - 11x² + 5)

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Q: g(2,1, 2) dV over solid B. B = {(x, y, z) | 1² ≤ x² + y² ≤ 5², x ≥ 0, y ≥ 0,3 ≤ z ≤ 7} and g(x, y,…

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Q: Let f(x) = log6x and g(x)=₁*. For all x g(x).

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Q: Write the following in exponential form: y = ln(25): O e25 = y O (25)e=y O ev = 25 O (25) = e

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Q: Evaluate the double integral 11₁₂²² x² dA, where D = {(x, y) : 1 ≤ x ≤e,0 ≤ y ≤ lnx}.

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Q: Express the function F in the form f o g. F(x)=√x + 6

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Q: York Region introduced a program to support the population of deer in its forests. After t years of…

A: York Region introduced a program to support the population of deer in its forest. After t years of…

Q: 4. An object moves horizontally from rest. Its position, s, in meters, after t seconds is given by:…

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Q: Rewrite the following equation with the variables separated. y' = 6xy² + 2xy + 6y² + 2y

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Q: if f(x) True = False 1 {} if x # 0 if x = 0 2 then_lim ƒ(x) = 0 x 0

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Q: Compute the following integrals. a) ¹₂x²-1]dx

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Q: Suppose F(x) = f(x³), G(x) = (ƒ(x)) and: a² = 11, f(a)=2, f'(a)=14, ƒ'(a³) = 8. Find: (a) F'(a) =…

A: given given

Q: Which option states a correct formulation of the epsilon-delta definition of the limit lim (3x² - 4)…

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