A semicircular (radius = r) arc-shaped earrings. Is hung on the yarn pattern. Specify the encounter of the hanging wire and jewelry 90

Q: Find dy/dx by implicit differentiation. tan(x - y) = Y 1+x²

A: Given function is Differentiating both sides with respect to x, we get

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x= xo and then find the nth Taylor…

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Q: Find the indefinite integral. (Use C for the constant of integration.) ]= ✓cos 38 de sin³ 38

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Q: The region bounded by the curves y x = 5 is rotated around the x -axis. Find the resulting solid.…

A: Given curves that bounds the region are y=e-1/x, y=0,x=1 and x=5 abd the region is revolving around…

Q: Q3/ A- On which interval is the function f(x) = x³ - 3x² + 1 increase, decrease then find the local…

A: To determine the intervals on which the function fx=x3-3x2+1 increase, decrease and  then to…

Q: The equation [cos(20)]² defines an implicit relationship between wand 0. Use implicit…

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Q: 1. Based on data from the US Census Bureau, the US population in 1990 was approximately 250 million…

A: Please see the below picture for detailed solution.

Q: Find the limit. sin (0) lim 0 0 30+ tan (0)

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Q: The number of thousand mp3 players produced per month by a certain manufacturer t months after the…

A: Given :- The number of thousand mp3 players produced per month by a certain manufacturer t months…

Q: with

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x² - 16 X+4…

A: Given,          limx→-4x2-16x+4

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

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Q: Determine the maximum and minimum possible values of 5x^2 + 2y^2, under the constraint x^2+y^2 ≤ 0.…

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Q: 1. Use the following graph of the polynomial function f to answer the following. y 2 WM -3 -1 4 X a)…

A: Given:

Q: (3) Use rules of differentiation f(x) = √√3x + 1 at x = 5. to find the derivative of the function

A: We have given function  fx=3x+1 Derivative of the function is given as  f'x=ddxfx f'x=ddx3x+1…

Q: Find the derivative of f(x) = = (2x-4) (3x+6) x-1

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Q: Problem 3. A Holling's Type III response is similar to Type II since it assumes that the consumer is…

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Q: Using r(t) = 3 costî + 3 sint ₁+ 2+²K at [0,2π], find arc length.

A: The arc length of a curve r(t) on the interval [a, b] is given by the integral: L = ∫[a,b] ||r'(t)||…

Q: Find of cos y - 2xy + 3x = 2x sin x dx

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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Q: Estimate the value of 15¹/4 using differen- tials. 1. 15¹/4 2. 151/4 3. 151/4 4. 15¹/4 " 22 22 16 65…

A: let f(x)=x14f(x+∆x)=f(x)+f'(x)∆xx=16, ∆x=-1

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth…

A: The function is given by fx = ex To evaluate: The Taylor polynomials of the order n = 0, 1, 2, 3 and…

Q: Evaluate the following limits, if they exist Vh² +15-√h+15 vh+3-2 (a) lim h→0

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Q: Find the integral

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Q: ST. 2² (x + 1)³ -1)3 dx

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Q: (7) Find the f(x) = x-coordinate of the points on the graph of the function 1 x+1 X - Where the…

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Q: 5. Find of √√xy + 2x = √y dy dx

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Q: (5) Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

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Q: True or false: If f is differentiable and f(y) = = x, then dy dx 1 f'(y)

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Q: 14. For the following matrices calculate AB or BA (whichever is defined) -2 A=[ 3² ] B =[ 231

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Q: Use differentials to estimate the amount of paint needed to apply a 1/8 cms thick coat of paint to a…

A: Given: a sphere having diameter 4 cms so radius (r)=2 cmsthickness of pain coating=18 cms

Q: The equation of motion is s = sin 2πt for a particle, where s is in meters and t is in seconds. Find…

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Q: Suppose that f is a twice differentiable function (everywhere). such that f(5) = 3 and f'(5) = 7 and…

A: Given data f( 5 ) = 3 f'( 5 ) = 7 f''( 5 ) = 1

Q: A function is given. 1 g(x) = 8 - x = -2, x = 1 (a) Determine the net change between the given…

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Q: find the differential equation for following family of curves. Question: 1).line passing through…

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Q: The first term of a geometric series is 4. The sum of the first two terms is 7, and the sum of the…

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Q: Determine a normal vector to the graph of the given function z = -2y³ - 3x² at the point (2, 1,…

A: Given: z = -2y3 - 3x2  Point: ( 2 , 1 , 14 )

Q: to g as y = tan¯¹(x)}) When y is on the interval (-/2, 1/2), the identity sin²(y) + cos² (y) = 1…

A: When y is on the interval (-π/2,π/2), the identity sin^2 (y) + cos^2 (y) = 1 (which holds for all…

Q: Question 1: Use the graph of f(x) to answer the following: + Domain: lim f(x) = lim f(x)= lim f(x)=…

A: Given graph:   Solution:  Domain: x∈[-5-2)∪(-2,4]limx→2+ fx = -2  Value of the right hand limit of…

Q: Use the properties of logarithms to write the expression as a sum, difference, or product of simpler…

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Q: ƒ (x, y) = k (x² + ²2/2), x ≤ (0,1), y = (0,2) Find k so f is legitimate joint pdf

A: Given that f(x,y) = kx2 + xy2    x∈(0, 1) y∈0,2 For legitimate joint pdf ∫02∫01f(x, y) dx dy =1 Now,…

Q: Evaluate the indefinite integral. 4x + 7 [³ -dx x² + 1 + C

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Q: 1 -dx x³ - 1

A: To evaluate the following integral. ∫1x3-1 dx

Q: Find the slope of the tangent line to the curve defined by 6x³ The slope of the curve at the point…

A: 6x3-xy+2y4=880  at point(4,4)d dx(xn)=nxn-1d dx(a.b)=adbdx+bdadxd dx(constant)=0

Q: Find three numbers whose sum is 36 and whose sum of squares is a minimum.

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Q: Find the area of the surface generated by revolving the curve y = 0≤x≤2, about the x-axis. 9 1 The…

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Q: Use the rules of differentiation to find the derivative of the function. 7 + 7 sin(x) (3x)³ y' = y =

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Q: Express a= 8-9i 61 in the form a + bi. Give exact answers.

A: Given: (8-9i)/6i

Q: Let g(x) = ſº tº dt. Evaluate: X a) g'(x) b) g' (2)

A: We have to find the derivative.

Q: The equation of one of the directrices of a hyperbola is 2x + y = 1, the corresponding focus is (1,…

A: Let S be the focu and PM be the perpendicular distance of a point P(x,y) from the directrix , then…