f(x, y) = x6y — 4x5y² fxx(x, y) = fxy(x, y) = = fyx(x, y) = fyy(x, y) =

Q: Graph: x² - y<0 2x² +y ≤ 12 {22²

A: Graph is a representation of information using lines on two or three axes such as x, y, and z.

Q: Use Green's Theorem to evaluate [p F.dr, where F = (√2 +9y, 5z + √Y) C consists of the arc of the…

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Q: 2. Vinegar is known to kill 82% of germs with each applicatio a) Determine an equation that relates…

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Q: Problem 5. Consider the Fibonacci numbers, define recursively by Fo=0, F₁=1, and Fn = Fn-1 + Fn-2…

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Q: A steel tank has the shape of an inverted circular cone standing vertically with base radius 2 m and…

A: Given that radius is  and height is .The tank is filled up to with cooking oil that has a density…

Q: Paul has a traditional IRA with $8,000 of non-deductible contributions and $3,000 of earnings. What…

A: Paul has a traditional IRA with $8,000 non-deductible contributions and $3,000 earnings.To find the…

Q: Instantaneous rate of change has multiple aliases it goes by. Select all of the possible names for…

A: The instantaneous rate of change refers to the rate at which a function changes at a specific point…

Q: Consider the vector field ³ = (x³yª,x^Y³). The vector field is not conservative The vector field is…

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Q: Find the general solution of y" + 6y' + 13y = 20e-2t sin t.

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Q: Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra…

A: Given that, the goal is to save an extra  over the next  years.To find the amount must be deposited…

Q: given that f(x)= 2x + 3 and g(x) = x squared + x and h(x) = x squared - 1 develop a algebraic model…

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Q: A particle starts by moving to the right along a horizontal line; the graph of its position function…

A: Velocity is a vector quantity that measures the rate at which an object changes its position. It…

Q: Find the indicated partial derivative. f(x, y) = y sin-¹(xy); f, (4, 1) =| 8 fy (4₁1) 4, 8

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Q: Let X = (0,00). -> a) Show that X is not complete with the standard metric d: X2 → [0, 0o) defined…

A: complete vector space-A metric space (X, d) is  called complete if  the following  condition are…

Q: A company that makes sweatshirts is willing to supply 156 sweatshirts each month if the price is $24…

A: If price is $ 24, then supply of sweatshirts per month is 156.If price is $36, then supply of…

Q: Find the following derivatives. z and z₁, where z = 9xy - 3x²y, x= 4s+t, and y = 4s-t

A: The given functions  and .To find the partial derivatives and .

Q: Consider the feasible set determined by the inequalities. Is the feasible set empty, bounded, or…

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Q: Find the surface area of the part of the plane z = 2 + 6x + 4y that lies inside the cylinder x² + y²…

A: We have to find the surface area of the part of the planez = 2+6x+4yThat lies inside the cylinder…

Q: Q3. Find approximate solution of the following system of linear equations 76x + 5y + 24z = 19 22x +…

A: Given: A system of linear equations,To Find: Approximate solution, for the given system of linear…

Q: f(z)=ze^tz/z^2+1 for this function find the Rez(f(z),i) and Rez(f(z),-i) .

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Q: Find the inverse Laplace transform f(t) = £¯¹ {F(s)} of the function F(s) = e −3s (1 – 4s) s² + 16

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Q: 5. Determine whether (,) (u,uv, v) is an Inner Product on R2. Prove your answer.

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Q: Knowing that the general solution of a linear ordinary differential of the form: Y'(x) + P(x)Y=Q(x)…

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Q: The degree of the numerator is at least 2 Degree of the denominator is at least 1 higher than the…

A: Let's create a rational function that satisfies the given conditions. The function should have a…

Q: -vertical asymptotes -horizontal asymptotes -x and y intercepts -maximum and minimum points -points…

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Q: Suppose that the Sn satisfies both limm- S2n = -1 and limno S2n+1 = -1. (That is, the sequence given…

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Q: can you do vii on paper

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Q: Consider the two functions 1 = 13.4. y²2 and 2 = b on the y-interval [-a, a], if a = What value does…

A: To find the value of b that makes the area between x1 = y^2 and x2 = b, on the y-interval [-a, a],…

Q: 1- Calculate the first partial derivatives (with respect to x y and t) 3.- f(x,y)= tan-¹ (x√t) 1-…

A: We have, We will find the first partial derivatives with respect to Now, first partial derivatives…

Q: 1. Draw a directional field for each of the following differential equations. Based on the direction…

A: Here is the directional field for the differential equation As    the behavior of    depends on the…

Q: Let A basis for the kernel of A is A A basis for the image of A is = Find bases for the kernel and…

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Q: Let T: R³ R4 such that: TO = 2 T 1 = 3 2 4 T -2 1 3 0 a) Determine a linear transformation T b)…

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Q: Let f (x) = 9 and g (x) = 40 – 3¹+²ª. Find the exact solution of the exponential equation, ƒ (x) = g…

A: We have to find the solution of the exponential equation .

Q: The initial tableau of a linear programming problem is given. Use the simplex method to solve the…

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Q: Evaluate r² + y² { y'³dx – x³dy, where C' is the boundary of the region between the circles x² + y²…

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Q: Problem #2 Use the graphical method to solve: 2x₁6x₂-18 -X₁ + 8x₂ = 40 Check your results by…

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Q: Suppose that a company that makes sweatshirts has a linear demand function of qD = –6p + 400 and a…

A: Given, demand function, Supply function is For equilibrium, we have,

Q: Consider the following equation. f(x, y) = y³/x, P(1, 2), u =(21 + √51) (a) Find the gradient of f.…

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Q: Use the given transformation to evaluate the integral. 10y² da, where R is the region bounded by the…

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Q: In order to expand, a small business borrows $440,000 at 5.75% compounded quarterly.  The loan is…

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Q: You want to buy a car that costs $15,000.  You pay $3000 in cash and then borrow the rest at 2.9%…

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Q: In each of Problems 4 through 6, determine a lower bound for the radius of convergence of series…

A: Let the normalized 2nd-order ODE isResult:The lower bound of the radius of convergence (ROC) is the…

Q: Translate the following arguments in to symbols and determine which rule of inference shows the…

A: If the date is june 25, 2010, then the temperature is above 80 degrees.The date is June 25, 2010.The…

Q: Find √ 2² T²z ds, where C is the line segment from (0,-3,-1) to (0,3,3)

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Q: A grandfather clock is sitting in a living room with the center of the clock 100 cm above the floor.…

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Q: Find the slopes for the direction field at the specified points. Enter DNE if the answer is not…

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Q: Consider the set S = {x² + 1, 2x − 2, − x² + x}. The set S spans P2. If t(x) = = 2x² 16x + 10 € P₂,…

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Q: Add the following and reduce to lowest terms: 9/10 +67/10 =

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Q: v(x. y)= (ar² + 3y². yy), (x,y) € R², where a, 3, 7 are nonzero real numbers. (i) Let C be a circle…

A: Given: A vector field  defined in , where and  are nonzero real numbers.Objective: To compute the…

Q: State the dual problem for the linear programming problem. Minimize w = 4y₁ +6y₂ + 5y3 +Y4 subject…

A: Here,  we have to write dual of given primal of a linear programming problem.