5. S 1 sin-dx x x2

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A: NOTE: Refresh your page if you can't see any equations. . the coordinate of v1 and v2 are

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Q: Evaluate the limit: lim, +∞ (e² + x) =

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: given f''(x) =4x2

Q: Find the following. [(25 + y²) dx = [(x² + y²) dy =

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Q: Find by implicit differentiation. dy dx sin(x² + y²) = xey dy dx ||

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Q: 4 12d2= -dx = x² - 1 (A) B D 4 ln x² - 1| + C 2 ln+C 4sin ¹x + C 4tan ¹x + C

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Q: 1. In economics, a Cobb-Douglas production function takes the form Y = AL³ Kº, where Y the output of…

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Q: 2. Compute the following limit. If L'Hopital's rule is used at any point in your calcula- tion, make…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's…

A: f(x) = cosπx       , [ 0,2 ] rolles theorm states that if f(x) is continuous in [ a,b }f(x) is…

Q: Evaluate dy and Ay for the function below at the indicated values. y=f(x) = 75 (1-2); x = 5, dx= x=…

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Q: Find the critical point of the function f(x, y) C = == (7x + y² + In(√x + y))). Use the Second…

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Q: Consider the function f(t) = 8 sec²(t) – 2t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: Find the particular solution to the differential equation. 2xy = y² +1 when x = 1, y = 2 dx

A: Given that        2xy(dy/dx) = y2+1    when x=1, y=2

Q: The profit function for a firm making widgets is P(x) = 154x - x² - 1600. Find the number of units…

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Q: If z = (x + y)e" and x = u² + v² and y = u² - v², find the following partial derivativ answers as…

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Q: At what point (x, y) is the function f(x) = 8x - 3 closest to the point (3, -6)? Enter an exact…

A: To determine the point x, y on the function fx=8x-3 is closest to the point 3, -6.

Q: ot the points whose coordinates 2п 2, 3 a. C п b. (3.-4. 37). 4 S

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Q: 1. Chapter 14 Review 57: Find the minimum and maximum values of f(x, y) = x²y on the ellipse 4x²…

A: To find the minimum and maximum values of fx, y=x2y on the ellipse 4x2+9y2=36.

Q: Use the Chain Rule to calculate the partial derivatives g(x, y) = sin(x² + y²), x=4u+3v, y = v — 3u…

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Q: If sin 0= 0<0<- 8 9' T find the exact value of each of the following. 2'

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Q: Use Newton's method to approximate √6 to four decimal places.

A: Let's find value of sqrt(6) by using Newton's method.

Q: 1 1 1 Calculate the gradient of h(x, y, z)=33 Vh = h (2xi) + 3yj + 3zk

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Q: 3 Consider the function ƒ(x) = 5x³ + 4zº – 10z³ An antiderivative of f(z) is F(x) = Aï” + Bx™ + Cr²…

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Q: 1. f√2X + 5dx 2. [ tanxsecxdx 3. f 2x√4x - 5dx

A: Since you have posted multiple questions, we are supposed to answer only first  question. If you…

Q: The principal argument of the complex number −9+2j (rounded to the nearest degree) is equal to: 76°…

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Q: Find the indefinite integral. (Use C for the constant of integration.)     8x(4x2 + 3)6 dx

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Q: Solve the equation x² + 7x = 30. O A. x = 15 and x = -2 O O B. x = -6 and x = 5 C. x=-10 and x = 3 O…

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Q: a) The Cartesian coordinates of a point are (1, 1).

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Q: Sketch the situation if necessary and use related rates to solve for the quantity. A 10 -ft ladder…

A: Let the horizontal length of bottom of ladder from the wall is x ft and the height of the wall is y…

Q: A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on…

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Q: The equation implicitly defines as a function of t. Find dz dt BDP sin (4 x) = -8

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Q: fix√x²+2x+5dx

A: To evaluate the following integral. ∫13xx2+2x+5 dx

Q: Write each equation in polar coordinates. Express as a function of t. Assume that r > 0. (C) x² + y²…

A: NOTE: Refresh your page if you can't see any equations. . use the cartesian to polar substitution…

Q: What is the area under the graph of y = f(x) = x2cos(x3) and above the interval [0, T]. 7 = 180 180…

A: To find area under the curve.

Q: Find the length of the curve. -X² + 10x³² 6 y = Need Help? Watch It 2≤x≤4

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Q: Graph the system of inequalities from the given problem, and list the corner points of the feasible…

A: See this solution in below.

Q: x dy

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 2. The top and bottom margins of a poster are each 5 cm, and the side margins are each 3 cm. If the…

A: We can find dimension of the poster with the smallest total area.

Q: At what point (x, y) is the function f(x) = -8x - 8 closest to the origin? Enter an exact answer.…

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Q: Water is flowing into a conical vessel 9 m deep and having a radius of 3 m across the top. If the…

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Q: The value of the following limit is -1 None Undefined 0 1 +∞ fin(n+¹) coth x dx limn→+∞ Jin n

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Q: Determine whether the mean value Theorem can be applied to f on the closed interval [a,b]. If they…

A: Determine whether the mean value theorem can be applied to fx on the closed interval a, b. If the…

Q: z = sin(x² + y²), x = v cos(u), y = vsin (u), find az/au and az/av. The variables are restricted to…

A: We have to find the derivative using chain rule.

Q: An oil spill along a straight coastline (from a broken oil pipe) spreads in the shape of a…

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Q: (a) The Cartesian coordinates of a point are (1, 1). (i) Find polar coordinates (r, 0) of the point,…

A: we need to find the polar coordinates

Q: 22 Use the method of variation of Solu Parameters to find the particular solution of the following…

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Q: Find the function with the given derivative whose graph passes through the point P. f'(x)=2x+5,…

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Q: Identify which of the following formulas applies to the future value of a series of payments, with…

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Q: Determine whether the function's vertex is a maximum point or a minimum point. x² + x + 2y = 7 O The…

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