Find the maximum value of ƒ(x, y) = x¹y³ for x, y ≥ 0 on the unit circle. fmax =

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A: Given : curve To find : Point on the curve r(t) at the distance 13 from the given point along the…

Q: If an object is moving along a horizontal path shown in the graph below. v(t) 0 N Describe the…

A: To findThe displacement of object for time interval [6,10]

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A: The slope intercept form of a line is given by y=mx+c where m  is the slope of the line and c is the…

Q: Use implicit differentiation to find dy or { y' ર્ dx પુ'. 3 2x³ = (3xy + 1)²

A: By using implicit…

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. (Use C…

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Q: Use partial fractions to evaluate the integral 2 1² 2²-2-3 de dx 2x 0

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Q: Find dy dx cos(xy) = y³ 3

A: given

Q: 4. Determine the 75th derivative of each of the following functions. b) f(x)= 3 cos 2x

A: We know that the derivative of cos(ax )is -a*sinx(ax)

Q: Given that sino 3 and 0<0<= what is the exact value of sin(20)?

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Q: find the limit if it exist of the sequence x_n where x_n = cos n/n

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Q: LET f(x)=x²-2x-2. FIND f'(x) USING THE LIMIT DEFINITION OF THE DERIVATIVE-

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Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

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Q: The graph shown below is f(x)=√x+1.If g(x) = f(t)dt, find g '(3). 5 4 3 2 X 5 4 3 2 1 1 2 3 4 5 कृ…

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Q: The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is…

A: Given : MonthTemperature153257365473580686788887982107211631255To find : The table shows the high…

Q: Determine the Cartesian equation of each of the following planes: a. through the point P(0, 1, −2),…

A: Solving the problem

Q: When using the vector moment equation, M = r X F, the r vector: O must be perpendicular to the F…

A: Vector motion equation  .

Q: If $17700 is invested at an interest rate of 6 percent per year, find the value of the investment at…

A: The compound interest formula A=P1+r100tA= final amountP=principle valuer=the rate of interestt=time…

Q: At what point on the curve of y = 2x² - 16x is there a tangent line that is horizontal?

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Q: 1) BASIC DERIVATIVES: Differentiate and simplify the following functions a) f(x) = 5x³+3x² - 5x+2 b)…

A: We know that the derivative of x^n Is  nx^(n-1)

Q: Suppose f(x) = -4 6x + 6 can be written in the form Then the expression A (Ba+Ch+6)(Da + 6) "…

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Q: matrices to solve the system if possible. Use gauss jordan elimination. If system is dependent…

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Q: Use a double integral to find the area of the region bounded by the graphs of the equation y = x²…

A: By using a double integral to find the area of the region bounded by the graphs of the equation  and…

Q: Suppose f(x) is continuous on [3,6] and-2 <f'(x) < 4 for all x in (3,6). L

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Q: Write out the three steps of the Understand-Solve-Explain process when answering the following…

A: 1 cubic feet of water weighs = 64.2 poundsTypical water bed holds 28 cubic feet of water

Q: het facx) = 1 + 0x² Ⓒ find the maximum Ⓒ Find the pointwise Limit [0,1] value of fox) pointwise…

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Q: A company expects its income stream from a new product to be F (t)=100, 000t for the next 9 years.…

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Q: Graph the solution of the system of inequalities. x + 5 6 y ≥ 2x - 6 <

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Q: 4. Determine the vertex of the parabola y 2 2x + 15x using Calculus.

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Q: Solve the given initial-value problem. dy y(x) = x(x + 1) I = dx + xy = 1, y(e) = 1 Give the largest…

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Q: 5. Consider the function: f(x)=x²ex a) Determine the first AND second derivative. 1 b) Determine the…

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Q: A triangle is formed by the points P = (1, 0, 3), Q = (4, -1,3), and R = (6, 1, -2). (a) Sketch the…

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Q: Find the average value gave of the function g on the given interval. g(t) = 2 1 + t²' [0, 9]

A: Given ,           g(t)=21+t2we have to find average value of the function g on the interval 0,9The…

Q: 11 y = (x² + 1)-², y=2-(x²+1)-², x = 2

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Q: O O O O Which of the following shows an inconsistent system of equations? 3x + 4y = 5; 6x + 8y = 10…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Complete the square and find the indefinite integral. (Use C for the constant of integration.) x² √…

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Q: Correct your answer as an integer or a simplified fraction. -3x+12=-x+2 in the answer box.

A: -3x+12=-x+2

Q: Evaluate the definite integral foto tº cos(t5)dt: 5/π/2 Step 1: Start by making the substitution…

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Q: Let f(x)=√√9x-5, g(x)=x²-49, and h(x): (fh)(x) 1 X-7 Fi

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Q: 1. 3 Sa x³√x² + 1 dx

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Q: Which of the following ideas represent the different ways a line and a plane can intersect. Select…

A: There are three possibilities for the intersection of a plane and a line.They do not intersectThey…

Q: If f'(x) < 0 and f"(x) < 0, then which of the following is true? Of(x) is decreasing and concave…

A: Here we need to find out the correct option for the given statement.

Q: Evaluate the indicated limits algebraically. Change the form of the function where necessary. Show…

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Q: The cost function for producing x units at a company is C(x) = 54 √√x + 500 dollars. Find the…

A: The cost function for producing x units at a company isTo determine: The marginal cost when 9 units…

Q: If the position of an object is given by s(t) = ln(t³), what is the displacement of the object…

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Q: 1. Determine the complete solution of the given differential equation y"+y' - 2y = 2x - 40cos2x. Use…

A: The given differential equation is; y''+y'-2y=2x-40cos2xSolve by method of undetermined…

Q: EVALUATE THE FOLLOWING LIMIT @lim x²-x-6 X-3 x-3

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Q: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

A: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Use the substitution x = 6 sint to evaluate the integral S√36 – x² dx. Note: Use C for an arbitrary…

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