Find Vz. 4xe6y x + 5y NOTE: Give your answer in unit vector notation; that is, in terms of i and j. Vz = 2 =

Q: Use Stokes' theorem to evaluate Ils (V x F). n do where F(x, y, z) = -3yzi + 3xzj +3(x² + y²) zk and…

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Q: Find the components of the vertical force F= (0,- 8) in the directions parallel to and normal to the…

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Q: Use the Chain Rule to find az/as and əz/at. z = x³y5, x = s cos(t), y = s sin(t) дz əs əz at || 11

A: We have to use chain rule:-General differential formulas:-

Q: Use the following information about the graph of a polynomial function to determine the formula for…

A: The solution is shown in step-2

Q: Evaluate the function for values of x that approach 1 from the left and from the right. f(x) =…

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Q: 71. Find all points where f fails to be differentiable. Justify your answer. (a) f(x) = |3x − 2| (b)…

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Q: Define the points P(1,3) and Q(3, 4). Carry out the following calculation. Find two vectors parallel…

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Q: 19003 offror Cocon @At a price of $251 per DVD Player, the supply of DVD Players is 900 and the…

A: Price (Per DVD Player)SupplyDemand$2519004300$1951005000

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Use polynomial long division to divide f(x) = x³ − 2x + 3 by g(x) = x - 3, in other words, express…

A: The given division is,

Q: a) Given the matrices i) ii) 154 V=-3 3 1 VT and WT. |WTVT. and W 1 2 0. Determine 2

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Q: Differentiate. G(x) = (6x2 + 7) (8x + √ G'(x) =

A: Put ,Differentiating with respect to x As Similarly , So,

Q: Consider the following. lim (x sin(10)) x →∞ (a) Describe the type of indeterminate form (if any)…

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Q: Sim (x-ex) X700

A: To evaluate the following limit.

Q: Find d²v dt² v=3t² + 7t+10 d²v dt²

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Q: Let y x³ 4x (x>0). Please find dy/dx logarithmically.

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Q: Find the work done by F in moving a particle once counterclockwise around the given curve. F =…

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Q: Use the power series representation f(x) = for g(x) = (6-x)² Select the correct answer below: on the…

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Q: A parent pulls a child in a wagon for 550 feet. If a constant force of 12 pounds is exerted along…

A: A parent pulls a child in a wagon for 550 feet. If a constant force of 12 pounds is exerted along…

Q: Determine whether the planes are parallel, perpendicular, or neither. 2x8y-6z - 3 = 0 -x + 4y+3z-4 =…

A: a) b) c)

Q: Is the following statement true or false 2 f₁² (αx² + L₁ (ax² + bx + c) dx = 2 (A) True (B) False…

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Q: 24. Evaluate the iterated integral. 3_4x a) ff y³e¹* dxdy b) In sif, thy dydx xy

A: Definite Integral

Q: Sº Identify the limits of integration in the given definite integral. Select the correct answer…

A: Given that we need to find the limits of definite Integration.We will solve by using formula of…

Q: a) b) 13 Given cosecß = where ß is an obtuse angle. Find the value of tan 5 Solve the equation…

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Q: Find all local extreme values of f(x) = == 2 -x³ +9x² 36x + 100. 3 The FIRST local extreme value,…

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Q: A graph of y = f(x) is shown and exist, enter DNE.) otherwise C = -5 -10 -5 c-value is given. Use…

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Q: Find dy/dx and d²y/dx², and find the slope and concavity (if possible) at the given value of the…

A: The solution is shown in step-2

Q: Find the equation of the sphere passing through P(-2, 1, 6) and Q(6, -3, 7) with its center at the…

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Q: What is the standard form equation of the circle given below? 8x+x²-2y=64-y²2 (x+4)² + (y- 1)² = 9 ○…

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Q: Farmer Joe raises only pigs and goals. There is only room for at most is animals. Another limitation…

A: *let, Number of pigs = x &Number of goats = y.*to find,(a) mathematical model.(b) graphical…

Q: To save money for a future house, a couple places $4,000 in an interest bearing savings account…

A: Here, Principal amount (P) = $4000 Interest rate (r) = 9%  or 0.09 The amount is compounded monthly,…

Q: Is the following statement true or false If f(x) is continuous on [a, b], then dr. fr f(x) f(x) dx=…

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Q: Differentiate the function. - g(x) = 6x¯³ (x² - 6x³ + 13x-9) 3 4 g'(x) = ...

A: Given function is g(x) = 6x-3(x4 -6x3+13x -9)

Q: Use the fundamental identities to simplify the expression. tan²(x) - tan²(x) sin²(x) Need Help? Read…

A: We know thatsin2(x) + cos2(x) = 1or, cos2(x) = 1- sin2(x) ..........(1)

Q: y = 6x+5 y = sec(ln x) + In(secx)

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integrat Stinct.…

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Q: The graph below is of a function f'(x) for some function f(x) with domain (-∞, 00). -10 (b) f(-9) =…

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Q: (a) arcsec x (b) arcsin(4x) (c) x-x ln x

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Q: 14 If √¹4 f(x) dx = -67 and F(14) = −62, where F(x) is an antiderivative of f(x), find F(3).

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Q: Find the area of the triangle with the given vertices. (Hint: ||ux v|| is the area of the triangle…

A: Given vertices are ;

Q: Find the values of a and b that make the following plecewise function differentiable everywhere. [ax…

A: In this questions , we will find the values .

Q: Differentiate. g(x) = 7x-1 4x+7 g'(x) = + x3

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Q: Use the Chain Rule to find dz/dt. √4+x² + y²₁ x = 2 In(t), y = cos(t)

A: Partial derivatives with respect to x then y constant

Q: Which of the given series are absolutely convergent?

A: Two given series and we want to find absolutely convergent series .

Q: situation.   A researcher wishes to examine the impact of the location of residence (rural vs.…

A: Given that      A researcher wishes to examine the impact of the location of residence on fear of…

Q: 10. If f (x, y) =2ye” then find √, (x, y). f„,

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Q: 11. Find and classify all the critical points of f(x, y) = y³ + 3x²y - 6x² - 6y² + 2 g(x, y) = x³ -…

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Q: ne that passes through the po = 0

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Q: Suppose that Σan is an infinite series for which the Ratio Test is inconclusive. What an? Justify…

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Q: 3. -10- 5

A: The inverse of a function is nothing but reflecting the graph about y=x