Find the derivative of the function at Po in the direction of f(x,y,z) = xy + yz + zx, Po(3,-3,1), A=3i+6j-2

Q: oduced, while R(q) and C(q) are in total dollars ction. (Be sure to use the proper variable in your…

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Q: The area of the region bounded by the two x² and y 36 is curves y = =

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Q: Answer the following Questions: 1. Evaluate the integral using partial fractions method: ²+1)…

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Q: Find the area of the region inside the circle r = 36 sin and outside the cardioid r= 12 + 12 sin 0.…

A: Concept: The area between the circle r1 and the cardioid r2 is A=12∫θ1θ2r12-r22dθ Here θ1 , θ2 are…

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Q: From what rule of differentiation does the Integration by Parts formula come? For each of the…

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Q: Which of the following is true regarding (2b) given the piecewise function f(x)= Of(2b)=-g(2b)…

A: Please see the below picture for solution.

Q: Determine the area of the region bounded by two the curves f(x) = x² - 18x +36 and g(x) = 9x + 18.

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Q: Find the distance the Point PC9₁-6, 37 is to lline through the two Points. 1Q (5-=-= 3,01 and R…

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Q: 01 O-3 O 733 113 It is known that function f is an increasing function that satisfies f(1) = −3 and…

A: Given:      f1=-3      f-11=3 we know that       f-1'y=1f'x

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A: Given, f(x)=4x+6

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Q: Determine the area of the region bounded by two the curves f(x) = x² – 22x + 48 and g(x) = 11x + 24.

A: Topic = Area

Q: Find the first partial derivatives of x - y x+y f(x, y) = af -(1, 1) = д х of ду -(1, 1) = = at the…

A: Concept: Let's say we have a function f(x, y) that depends on the values of two independent…

Q: Q1 Consider the plane curve defined by the parametric equations x = 2 + 2 cos² (t), y = 3+ sin(2t)…

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Q: Use the graph to locate the absolute extrema (if they exist) of the function on the 4x² (x − 3)2 on…

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Q: Write Z₁ and Z2 in polar form. 11π - 4( cos( 11 ) + sin ( 1 )) i 11π 6 Z1 = Z2 Z1Z2 = Z1 Z2 Z₁ =…

A: you should write a bracket

Q: Find the inverse Laplace transform £¯¹{F(s)} of the function F(s) L-¹{F(s)} = = = 8 (s — 5)³ NOTE:…

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Q: - 1) If / (z −4) (2 + 6) 6 O 10 O 1 O 4 dr = | Adr 2-4 √ + Bdr +6 then A+B = The area under the…

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Q: Suppose y = √ 2x + 1, where x and y are functions of t. dx (a) If = 12, find dt dy dt dy (b) If = 3,…

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Q: Evaluate the integral R --²dA where R is the region bounded by the semicircle z = √4-y² and the axis…

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Q: Determine the area of the region bounded by two the curves f(x) = x² – 18x + 28 and g(x) = 9x + 14.

A: Given: fx=x2-18x+28 and gx=9x+4 Graph between both the curves will be as following   Area between…

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Q: 1. The distance travelled by a model train over a bridge is described using the formula: t² 8 d(t) =…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. IRL -144 yz dx dz dy =

A: I am attaching image so that you understand each and every step.

Q: 2 1 + e* 11, 12, 13, 14, 15, 16, 17, and 18 Find the differential of the function. 11. y = e5x 10.…

A: 10 1 - x/2 now differentiate the function with respect to x df/dx = 0 -1/2  = -1/2   second question…

Q: limx→3 0 4 01 O O 3-x 4-√√²+7 O None of the above

A: We need to find: limx→3 3-x4-x2+7

Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $8 the…

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Q: Write the function below in the form y = f(u) and u = g(x), then find y = cos (csc x) What are the…

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Q: limx→5 x²+2x-35 x-5

A: We need to find limx→5x2+2x-35x-5.

Q: 2x² + 4 over the interval [-2, 1]. Enter an exact answer. If there is more than one value of x in…

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Q: 2 x² dx √4-x² 2

A: Let's solve given integration.

Q: 168x+7,-6 ≤ x ≤ 14. Consider the function f(x) = 2x³ 9x² The absolute minimum of f(x) (on the given…

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Q: 2. Given: f(x) = X (x - 1)² - with f'(x) = = -x(x²-3x+4) (x - 1)³ and f"(x) = = 2x + 4 (x - 1)¹* (a)…

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Q: Find fx(x,y) and fy(x,y). Then, find fx (2,- 4) and fy (-4,4). f(x,y) = 4x cos (лу) fx(x,y)= (Type…

A: Implicit differentiation is done and then values of x and y are substituted.

Q: Find the absolute maximum of the function f(x)=x²-1x +4 on the interval [0, 2]? (a) The absolute…

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Q: Let f(x) 5 if x < 3 2 x+5 if x ≥ 3 Show that f(x) has a jump discontinuity at x = 3 by calculating…

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Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 2s + 12 s² + 12s +85 F(s) :…

A: Topic = Laplace transform

Q: The parabola y=(1/2)x² divides the disk x² + y² ≤ 8 into two parts (see figure). Find the area of…

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Q: Find the absolute maximum and absolute minimum of the function f(x) = 3 sin (x) cos (x) over the…

A: We will find the required.

Q: A ball is kicked such that its height (h) can be represented by the equation h = - 16t² + 32t + 3,…

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Q: Determine the area of the region bounded by two the curves f(x)=x²-18x + 28 and g(x) = 9x + 14.

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Q: -4y5+4 dy +4 ]d-

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Q: Find the partial derivatives of the function dw Ər მu as - - W = √9r² +38² 2

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Q: A rational fraction of the form g(x) = 0. Select one: O True O False f(x) is called a proper…

A: We know Rational fraction=fxgx, gx≠0

Q: Find the maximum rate of change of f(x, y, z) = x+y/z at the point (1, 1, -3) and the direction in…

A: Please see the below picture for detailed solution.

Q: f(x) is concave down on the interval (a, b) if f'(x) is decreasing on True False (a, b).

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