MY NOTES Perform the indicated operation and simplify if possible by combining like terms. Write the result in standard form. (2y³ - 4y + 8) (2y² - 5y + 6) AS

Q: Write an equation for a line perpendicular to y = 5x - 4 and passing through the point (10,-7) y=

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Q: Find the total differential d2 for the dx = 0.01 X= 2 Y = 0 and dy = 0.01 J2 and 42 LE of function…

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Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

A: Question No. 1: To verify that  is a solution to .Note: Since the student has posted multiple…

Q: Suppose you are given a function f. Explain, using complete sentences, what you need to do to (1)…

A: Given that we are given a function f,now we need to find (1) the exact x values where f might have a…

Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: Change the order of integration. S J f(x, y) dy dx

A: given

Q: K What is the slope of the line tangent to the graph of y=tan(-x) at x = - 4? The slope of the…

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Q: Find all the local maxima, minima & saddle points of the function. f(x,y)=x2+14x+y2-4y+3. Plsprovide…

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Q: Find the sm lest nu approximation of the series 10-4. er n of terms needed to obta an ∞ 17ke 0.49k2…

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Q: Given that f(3) = 2, f'(3) = 5, g(x) h(x) = f(x), then find g'(3), and h'(3) = f(x)

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Q: Find the time it takes for $6,400 to double when invested at an annual interest rate of 14%,…

A: Formula for compounding continuously, .Where A is final amount, P is initial amount, r is rate, t is…

Q: 2. a. b. The distance travelled by an object is given by the equation: d(t) = 20t 1+t2 t20. What is…

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Q: Find the directions in which the directional derivative of f(x, y) = x² + xy³ at the point (3, 1)…

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Q: Let f(x) = x². There are two lines with positive slope that are tangent to the parabola and that…

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Q: Find the derivative of the function at P0 in the direction of u. f(x,y)=4x2+3y, P0(7,10), u=3i-4j

A: f(x,y)=4x2+3y, P0(7,10), u=3i-4j

Q: Find f. f"(x) = -2 + 36x - 12x2, f(0) = 2, f'(0) = 18

A: Given, .Given,  f(0)=2, f'(0)=18.We know,

Q: Find a particular solution Y of the differential equation 8y" + 2y' + 3y = sin²(x). using the Method…

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Q: What best describes the transformations from f(x)=√x to g(x)=√√-2x? A The graph of f(x)=√x is…

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Q: Y=e^x sec x, then dy/dx =

A: .

Q: Find the length of the parabolic segment r= 14 1 + cos 0 The length is (Type an exact answer, using…

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Q: If a snowball melts so that its surface aree decreases at a rate of 10 cm2/min, find the rate (in…

A: Shape of snowball is sphere.

Q: Use the differential dy to approximate 4y when x changes from x = 2 to x = 1.96. y = X x² + 1 Enter…

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Q: 1. Evaluate each 2-variable function f: D→ R below at the given points. For a point described with a…

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Q: Let f(x) = In(x). State if the following statement is true or false (a) The graph of f(x) has a…

A: According to bartleby guidelines we are supposed to do only one question.  If you want more to be…

Q: ㅐㅍ 3 1/2 S (2+4C05(0)) ² do 2 싫어

A: To evaluate the following integral.

Q: 3. Graph lines and k line l: 2x + 4 = O line k: 2x + 5y = -15 (< show at least 3 Points same on the…

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Q: Find the derivative of the function. h'(x) = = h(x) = (arccos(x)) In(x)

A: To find the derivative of the following function.

Q: 5. Graph the following in polar coordinates (a) rsin = -3 (b) # = 5π 6 (c) 1<r<4

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Q: find: The center of the area for the shaded region.

A: We are given with function and find the area of the shaded region

Q: Determine the derivative of the following function with respect to a: 75 +¹rsin (r) 4,

A: f(x)=π5+π4xsin⁡(x)

Q: Vector w has initial point (2, -1, 3) and terminal point (-4, 75). Which of the following vectors is…

A: Vector  has initial point  and terminal point . To find the vector which is parallel to .

Q: Given: x=t², y=t-8, -4≤t≤4 a) Sketch the curve by using the parametric equations to plot points.…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: ex - 32 √x +x 22

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Q: Write a polynomial f(x) that satisfies the given conditions. 1 Polynomial of lowest degree with…

A: We are given the two roots of apolynomial and their multiplicities and also the value of the…

Q: Find the differential of each function. (a) y = dy U 44 U-4 (b) y = (1+r5)-2 dy =

A: Givena) b)

Q: 1. Change the equation x² + y² + 6x - 16 = 0 to standard form and determine the coordinates of the…

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Q: How did you get (xe^x - integral ( e^x dx)?

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Q: For the function f(x)=simplify the difference quotient: b) [(x+h)-700 What is the slope of the…

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Q: 2/3 f(x)=2x [-1,1] Select the correct choice below and, if necessary, fill in the answer boxes to…

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Q: Suppose that Σ an = -3 and n=] ∞ A. Σ(-6an + −8bn) n=1 = B. (-6an +-8bn) n=2 = ∞ n=1 bn = -5 and a1…

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Q: Differentiate the function. y = log (e-* cos(TX))

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Q: Find the derivative of the function. h'(t) = h(t) = 17 cot ¹(t) + 17 cot-1 ¹(+) X

A: The given function is .The aim is to find the derivative of the given function.

Q: Solve the following differential equations using Exact method ху (2+ye Jdx + (x-2y) dy =0

A: we need to find out the solution of the exact differential equation.

Q: (x) is a twice differentiable function (i.e the second derivative of f(x) f(x) + x². Find ƒ(1),…

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Q: Concavity and points of inflection. Answer the following questions using the function f(x) The…

A: The given function .The aim is to find the concavity intervals of the given function.

Q: Find the angle of intersection between the curves: y² = 4x and 2x²=12-5y at (1,2) to three…

A: Angle between the two curves is given by

Q: A particle moves with position function s = t4 - 4t³ - 8t² + 15t, t≥ 0 (a) At what time does the…

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Q: is a piecewise-defined function so that - cx if x 2 value of c for which the limit of f(x) exists as…

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Q: Find explicit formulas for sequences of the form a1, a2, a3, . . . with the initial terms given…

A: Given that the sequenceAnd  To find the nth terms