Find the directional derivative of the function f(x, y) = n(x¹+y³) at the point (-3, 2) in the direction of the vector < -2, -3> 0 Calculator Check Answer MAY 4 X JA CO X O L

Q: If the region under the graph of y = √√√x+2 from x = 0 to x = 1 is rotated about the x-axis, then…

A: Consider the curves y = x+2 0 ≤ x ≤ 1 Rotate about the x-axis.

Q: Annual sales of bottled water in a certain country in the period 2007–2014 could be approximated by…

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Q: rmine the x-coordinates of any vertical asymptotes or removable discontinuities for the following…

A: fx=x-12x-32x-42x+53x-42x+14x-23

Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. √2x³…

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Q: The graph below is the function f(x) -5-4-2-1 3 -1 -2 Find f(-1) 234 Find lim f(x) 24-1- Find lim…

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Q: dx 9. ·S 1- x² sin-¹ x Answer -1 In sin¹x +C

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Q: Using derivatives find the absolute maximum and minimum of the following function over 1 ≤t≤ 25.…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: 7) Find the critical numbers of the following functions: (a) f(0) = 2 sin(0) + cos² 0, 0≤0 ≤ 2π (b)…

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Q: A 120-foot tall monument is located in the distance. From a window in a building, a person…

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Q: use the elimination method to find a general solution for the given linear system, where…

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Q: Find the volume of the solid bounded by the xy-plane and the surfaces x² + y²=256 and z=x²+y².

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Q: An international airline has a regulation that each passenger can carry a suitcase having the sum of…

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Q: Find the composition f[g(x)] if: O 2-3u10 (10 - 15x2)5 O f(u) = u5 and g(x) = 2 - 3x² (2-3x²)²…

A: fu=u5 , gx=2-3x2

Q: Let f(x, y) = (xy - y) cos(y) x² - 2x + y² + 1 does not exist. Find the limit of f(x, y) as (x, y) →…

A: We need to find limit limit(x,y)-&gt;(1,0)f(x,y)=limit(x,y)-&gt;(1,0)(xy-y)cos(y)x2-2x+y2+1

Q: a) If x < 8, then x − 3 ? 5. (b) If x ≤ 8, then 3x ? 24. (c) If x ≥ 3, then −3x ? −9. (d) If x <…

A: When the inequality is multiplied by a negative number, the sign of inequality changes.

Q: Find the Tangent line to elispe x2/40 + y2/40 = 1 at the the point (2, -(3)1/2).  a. y = 31/2x - 4…

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Q: Solve the problem. 15) Johnny's cafe serves desserts. One serving of ice cream and two servings of…

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Q: find equation of ellipse Vertices ( -2,10 ) and (-2 ,4 )and minor axis is 6 units.

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

A: Length of rectangular pasture=x m Width of rectangular pasture=y m

Q: Find the inverse Laplace transform. 53+5

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Q: 8. Sketch the Domain of ƒ (x, y) = ln (1 — x² − y²). f

A: The argument of natural log function is always positive. i.e., The natural logarithmic function is…

Q: Evaluate the limit. limx→-1 f(x), f(x) = O-8 0-9 O 4 Does not exist. x²2 - 6x 10,x ≤ −1 X {₁ -2,x>-1

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Q: Find the first 3 terms of the Taylor series generated by fix)-10 at x-3. 10 100x-3) 10 (x-3)2 + 27…

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Q: Evaluate the double integral over R= [0, 2] x [0, 3] of the function z = f(x, y) = 5x² - y.

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Q: Determine the equation of the tangent to f(x): 1 tan²x (7›1). at the point

A: Determine the equation of tangent to f(x) = 1/tan2x  at the point( π/4,1).

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an =…

A: Explanation of the answer is as follows

Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = 12 |x| over the interval…

A: fx=12-x As we know  ⇒x=-xit x&lt;0xif x≥0

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 800t 120t², where t is…

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Q: Find dy dx y [A] ₁-2y 1-e²y [B] y+1 1-2e²y [C] e²y + x = y 1 1-2e²y [D] y-1 1+2y [E] 1 Ti 1-ey

A: We can use the concept of implicit differentiation Given function e2y + x = y

Q: Find the interval on which the curve y = | =5₁²₁ X 1 3+t+4+² dt is concave upward. (Enter your…

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Q: Approximate the area under the parabola y=x^2 from 0 to 5 ​, using  equal six subintervals.

A: We can solve this question using left riemann sum  Given y = x2x varies from 0 to 5  using  equal…

Q: a) Sketch the region S enclosed by the curves b) Find the Area of the region S. y=√√√2-2 and…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the limit. (If an answer does not exist, enter DNE.) √x+2-9 1/18 lim x 79 x - 79

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Q: The area of a circle, A=², changes as its radius changes. If the radius changes with respect to…

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Q: Sketch the region of integration and evaluate the following integral using a method of your choice…

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Q: Find the equation of the horizontal asymptote of the function f(x)= 2x² (x-3)*

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Q: 2) Consider the equation f(x) = 2x³ + 3x² - 12x Use the First Derivative and Second Derivative tests…

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Q: A rectangle is constructed with its base on the diameter of a semicircle with radius 9 and with its…

A: Given radius of semi circle ( r ) = 9 Let height of the rectangle = y Given width of the rectangle =…

Q: What is the common ratio and the general term equation, an, of the geometric sequence? Hint: an = a1…

A: Graph

Q: Find the point on the surface z=x2-y2 at which the tangent plane is parallel to the plane…

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Q: =ffe- Estimate e-² dx using (a) Left-hand sum (b) Right-hand sum n = 5 rectangles to form a

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Q: Evaluate the first partial derivatives of the function at the given point. g(x, y) = √√√x² + y²;…

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Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

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Q: Find the limit; a) lim 2x X→ X-7 b) lim X X->4* x²16

A: Use use here infinity property of limit.

Q: 7) FOR 은 SUCH THAT FIND THE SMALLEST D 1Rnls 3000

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Q: Work Problem 1 a) Sketch the region S enclosed by the curves y=x²-3x and y = 2x - 6. b) Find the…

A: NOTE: Refresh your page if you can't see any equations. . the given equations are

Q: Evaluate the first partial derivatives of the function at the given point. f(x, y) = 9e* In(y); (0,…

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Q: Find the critical numbers of f(x) X = xe * Separate answers with a comma.

A: The given function is fx=x2ex

Q: Find the first partial derivatives of the function. f(x, y) = fy = -7

A: given,  f(x,y)=7yx3we know that,  ∂ ∂x(xn)=nxn-1