=D x. 19

Q: Suppose f(x, y) = (x - y) (25 - xy). Answer the following. Each answer should be a list of points…

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Q: Evaluate the following integral, f (x - 5y) dx - 8y² dy where C' is given by x = y² + 6 from (7, 1)…

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Q: For this interval notation, draw its graph and write its equality: (-∞0, 6]

A: The given interval is .The aim is to sketch the interval and write its equality.

Q: Find a general solution of the differential equation 2 dy dx You may leave the solution in implicit…

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Q: For which values of x are the vectors (2x, 4, x) and (-1, -2, x) orthogonal? Select one: O None of…

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Q: Given that f(x)=√√16-x² and g(x)=x+4, what is the rule and domain for (+)(x)₂ Only one item from the…

A: Given,

Q: Use the second degree Taylor polynomial for x at x = 8 to estimate 10. Round your answer to four…

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Q: For what values of a and b does lim x→0 a = b = sin (2x) x³ +a+ b 2/2) = x² = 0?

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Q: A student solves an optimization problem as in Model 1, except that in the problem Mini and Max are…

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Q: Verify that the given point is on the curve and find the lines (a) tangent and (b) normal to the…

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Q: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

A: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

Q: Exercise: 1) fx²e-3x dx 2) f x² Inxdx 3) sin3x cos4x dx

A: Given integral

Q: Minimize Q=2x² +2y², where x+y=4. X = *-8 y = HE (Simplify your answer. Type an exact answer, using…

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Q: Use spherical coordinates. Evaluate JJJ y²z² dv, where E lies above the cone 4 = 1/3 and below the…

A: G

Q: Consider the following. See Examples 4, 5, and 7. y = (x-4)³ Find the critical numbers. (Enter your…

A: In this question, we will find the critical point and the intervals on which function is increasing…

Q: For the functions f(x)=x^2-6x+10 and g(x)=5, determine the following information. Vertex of…

A: According to Bartleby guidelines we are supposed to do the first three sub parts of multiple sub…

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: 2) Draw a direction field for the given differential equation. Based on the direction field,…

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Q: C T 3 2 1 To find the blue shaded area above, we would calculate: b So f(x) dx Where: 1 2 3 4 f(x) =…

A: We have to use the graph to find the integral substitutes and area  under the graph

Q: Consider the following parametric curve. x = sin(t), y = cos²(t); (√2-1) Find an equation of the…

A: The slope of the tangent line to the parametric curve. If x = f(t), y = g(t)   a<= t <= b at…

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval notation.) X…

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Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

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Q: differentiate. do not simplify f(y) = (3-y^3)^3/4

A: given function

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. √20 maximum value…

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

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Q: Evaluate the following integral using integration by parts. √x20 In x dx

A: I=∫x20ln⁡xdx

Q: Suppose that lim f(x) = 6 x 3 and lim g(x) = 8 x-3 Enter the exact value of lim (fg)(x) 2-3

A: Suppose that .To find the exact value of .

Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: Find the differ y = √3 dy= = Evaluate dy fc x = 1, G y =

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Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

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Q: Solve the exact initial value problem 3y² dx + + (³1²575 2²2 + √²4) · + √2y) dy = 0, y(0) = 2, y5 X…

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Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

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Q: b.Let f(x)=x²-3x² -1, x ≥ 2. Find the value of af dx at x = -1.

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Q: Consider the following parametric curve. Find dy dx dy dx dy dx = Find the value of X = sin (6t) +…

A: Equation of the line : (y-y1) .

Q: differentiate y(theta) = e^cot theta

A: given function

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

Q: ·b f(b) − ƒ(a) = f'(a)(b − a) – ſå ƒ"(x)(x − b)dx - a

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Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: The populations of Towns A, B, and C vary exponentially with respect to time.1.The population of…

Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: (a) The graph below is the derivative of f(x), but you are answering questions about the parent…

A: Note: As per our guidelines we are supposed to answer only first 3 subparts.If there are multiple…

Q: Find the total differential. 8x + y 3z - 2y dw = W X

A: If W = f(x,y,z) then the total differential of W is given by   +

Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

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Q: An account earns an APR of 4.7% compounded as often as imaginable ("compounded continuously"). The…

A: The given rate is, r=4.7%=0.047 compounded continuously.For the continuous compound, the annual…

Q: 3. a. Find the intervals of increase and decrease for the following. y = 2x² - 8x + 1 b. y=x² + 160…

A: A function f (x) increases in the interval I if f'(x) > 0 for all x in I.A function f (x)…

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: To find the critical numbers of the following function.

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A: Radius = 60cmdr/dt = 0.01 cm/min.

Q: Solve dy/dx = y2 - 4

A: Given the differential equations we have to find solve the equation

Q: Solve the equation for x in terms of the other letters. (Enter your answers as a comma-separated…

A: Given data

Q: 2. by (No need to justify for full credits if your choice is correct.) A. B. C. Which of the…

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Q: For a standard normal distribution, find: P(-1.29 Z-1.07)

A: The given probability .The aim is to find the value of the probability using the standard normal…