Q: Find the length and width of a rectangle that has an area of A square centimeters and a minimum…
A: We can find the correct answer by checking the individual options as below.
Q: Which of the following is the answer of x² - y² ·? lim (x,y) (5,5) 2x - 2y Select one: -5 O 5/2 05 O…
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Q: f(x, y) a b) = 4x²+2y² Find the domain of f. Show that the limit does not exist lim f(x,y) (x,y) →…
A: Here, the given function is: f(x,y)=3xy4x2+2y2
Q: What is f (x) of f(x) = 320 (2x-7)³ O4x²-28x-31 (2x-7)¹ [(8x-28)-4(4x²-28x-31)] (2x-7)¹ O4x²-28x-31…
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Q: π/4 [sin (√x) dx 0
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Q: Find the minimum rate of change at (2,-2,0) and it's direction for f(x, y, z)= =. zy² H in the…
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Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4
A: This question can be solved using the concept of horizontal and vertical asymptote of rational…
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Q: No 1 2 3 Problem Use the method of disks/rings to determine the volume of the solid obtained by…
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Q: If f(x, y) = In (x² - y) -x + y + 1 then the domain D of the function f is given by the set
A: Given :fx,y=lnx2-y-x+y+1
Q: Question 22 A square is increasing in area at a rate of 20 mm² each second. Calculate the rate of…
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Q: A particle is moving with acceleration a(t)=30t+8a(t)=30t+8. its position at time t=0t=0 is…
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Q: Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10
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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…
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Q: Find the angle of inclination of the tangent plane to the surface at the given point. (Round your…
A: Find the angle of incidence of the tangent plane to the surface of the given point.
Q: The integral fe*- a dxdy is equal to O 2e-a+2 2 2e-a-4 2 2e-a+4 2 2e-a 2 9
A: Given :∫01∫0yex-adxdy
Q: (a) lim tan coth an [ coth()] -0+I
A: Solution is given below:
Q: Let f(x) = 2x - 13. Determine f-1¹(x).
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Q: a b) exist. x² yesy 8x4+7y² Find the domain of the function f. f(x, y) = Show that lim f(x, y) does…
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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…
A: Given: y=x316-12x
Q: What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³
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Q: The slope of the line normal to the graph y = 2 ln(sec x) at x = is: O-1/2 O non-existent O-2 2
A: The graph y=2lnsecx at x=π4
Q: dz Evaluate: ¹5 102 -5 0 1 O Divergent 00 O-1
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Q: If then fxx = Select one: True False 2(y² + y) (y - x)³ f(x, y) = x + y² y-x
A: According to question,Given Function,fx, x = x + y2 y-x
Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. dy dx At 4, x…
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Q: Estimate the area under the graph of f(x)=1/x+2 over the interval [2,5] using eight approximating…
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Q: Which of the following are the tangent lines perpendicular to y = x, to the curve x + y² = 8? Oy=x+8…
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Q: Given the functions f(x, y) = 4 cos(4x - 6y) and g(x, y) = -6 cos(4x - 6y). af The partial…
A: Here we have to use the concept of partial derivatives
Q: (x, y) 5) 4x2+2y2 Find the domain of f. Show that the limit does not exist. lim f(x,y) (x,y) → (0,0)
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Q: f(x) = x²-3x + 7 concave upward concave downward X X
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Q: Evaluate: cot (9) -do None of the choices ɔ+ − ( 7 ) 400 - ( 7 ) 8400 O tan³ () – tan an ( 1 ) - + +…
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Q: What is the area (in square
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Q: dz Evaluate: 5 10+2% 0 1 O Divergent 00 0-1 15
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Q: 1 Σ 3 k=4 √k -5k + 20 By the properties of the p-series, Limit Comparison Test, this series…
A: To find whether the series is convergent
Q: If z = x - 2y, dz and x = 2t, y = 5t, then the value of at dt t = 3 is equal to -8. Select one: True…
A: To determine whether the given statement is True or False.If z=x-2y, and x=2t, y=5t, then the value…
Q: Question af If f(x, y) = xy² - x ln(y) find Ət if x(t, s) = s² - st³ and y(t, s) = e-st²
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Q: 10 20 30 (a) Draw the tangent line at each labeled point. y 5 4 3 2 1 O y st 5 4 3 2 1 10 20 30 10…
A: Please see the below picture for detailed solution.
Q: f the measurement of the side of a cube is increased from 5 cm to 5.2 cm, the approximate increase…
A: Side of cube is increased from 5 to 5.2
Q: The limit lim (x,y)→(-1,2) (x²y − 3xy²) = −8 - Select one: True False
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Q: The integral J j e - a dxdly is equal to O 2e-a+2 2 2e-a-4 O2e-a+4 2 02 4
A: We know, ∫exdx=ex
Q: Let z =ellxy-56y and x =5616 + 6 and y =sin(s + 56). Use the дz дz Chain rule to find and dt - дл
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Q: The function f gives the weekly profit, in thousand dollars, that an airline makes on its flights…
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Q: Find (²-1) ln(x)dx
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Q: ات, 01 +19+₂1 x+₂²0 +19+₂. 1. Evaluate
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Q: If f'(1) = 4, f(1) = 2, and g(x) = f(x) tan-¹x, what is the slope of the tangent line to the curve y…
A: Here we have to find the slope of the tangent line.
Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4
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Q: Use the graph of m(x) shown to answer the questions below. -5 10 50 0 5 a. State the domain of m(x)…
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Q: Evaluate S ○ In O Divergent ○ In 11 O 6 In 11 6 dz 2²-25 16
A: Given problem :- ∫6∞6x2-25dx
Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…
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Q: Let 2 = (y - 2x) ³, where x = s²t and y = st². Use the Chain Rule to find when s = 2 and t = -1. Əz…
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Calculus II
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