(л/2, 1) (5л/2, 1) 10 (зл/2, —1) (7л/2, —1) -6- (4, 4) -4 2 4 8 (2,0) (6, 0) -2-

Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point. 4xy…

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Q: 4x+1 b. g(x) 9х-2

A: Given : g(x)=4x+19x-2   To Find : Derivative of g(x) using definition   NOTE:If f(x)=uv  , where u…

Q: Find the relative maximum /minimum values of thefunction S(x) = -2 r+2 State where the function is…

A: Solution is given below:

Q: A particle is moving along graph paper in a magnetic field. The intensity of the field at the point…

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Q: Question The base of a triangle is shrinking at a rate of I1 cm/s and the height of the triangle is…

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Q: Consider the following planes. 3x + 4y - z = 56 x - 8y + 2z = 0 (a) Find the angle between the two…

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Q: Consider the linear transformation T: R3 R defined by T(x, y, z) = (x – 3y + 2z, 3x + y + 5z, -2x +…

A: To find the standard matrix of the given linear transformation.

Q: d Use the table below to find [g(x) – f(x)]| dx |x=2 1 2 4 f'(x) gʻ(x) 4 1 2 1 2 4 d [g(x) – f(x)1]…

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Q: Find the equation of the line tangent to the graph of 2 + y* = - 2xy + 13 at ( – 3, 4). The equation…

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Find the first three nonzero terms of the Maclaurin series for the function and the values of x for…

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Q: and the y-axis. 2. Evaluate , 5x³ cos(y³) dA, where D is the region bounded by y = 2, y =:

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

Q: Find dy/dx by implicit differentiation. tan(x – y) 7 + x2 y' =

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Q: Given f''(x) = 5x + 3 and f'(– 3) = 3 and f( – 3) = - 6. Find f'(x) = and find f(2)

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Q: Use logarithmic differentiation to find the derivative of the function. y = (x3 + 2)2(x4 + 4)4

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Given dr=0.08 cm, d=65 metres r=d/2=65/2=32.5 metres Now convert r into centimeters r=32.5*100=3250

Q: lim2

A: Explained below

Q: 3n! 3n! Find lim State whether 2n=1 converges or diverges. n→∞ 4n!-1) 4n!-1

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Q: 14. The curve represented by parametric equations x = 4cose and y 4sine is a

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Q: -2 -1 0 3 6 |

A: We have to find out the limit

Q: The linear approximation at r 0 to sin(2r) is A+ Br where A is: and where B is:

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Q: Match the graph of the function to the right with the graph of its derivative below. Choose the…

A: The given graph is of the function: cot x

Q: Follow the steps below to find the nonnegative numbers x and y that satisfy the given requirements.…

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Q: Bx Bんt2

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

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Q: Find the length of the arc of the given parabola: x²=4y from x=-2 to x=2

A: We know that the length of the arc of the parabola y=f(x) from x=a to x=b is given by L = ∫ab1+dydx2…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 1. y = Arcsin(- Vx²+4

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Q: 5. x= y= t2-1

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Q: Suppose a police officer is 1/2 mile south of an intersection, driving north towards the…

A: We have to find other car speed

Q: Determine lim f(x) for the function f(x) shown in the figure below. 18 1le 1,0 F1 The limit as 3…

A: Consider

Q: Find the volume of the solid generated by revolving area of a circle: (x-2)²+y²=4

A: Rotate the circle:By rotating the circle around the y-axis, wegenerate a solid of revolution called…

Q: Given the following vectors ā = -1,–2),5 = (-3,-4),c = 2,-1),đ = (-4,3) %3D Use the dot product and…

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Q: Evaluate the definite integral two ways: first by a u-substitution in the corresponding indefinite…

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Q: 2) Choose one of the following options, which interprets best the area under f(x) on the interval 12…

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Q: Question dx If y = x'+5 and dt dy at x = -5. dt -6, find %3D Provide your answer below: dy dt =口 %3D…

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Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: Use scratch paper to complete the table below, and estimate the value of the lim,o+ f(x) where f(x)…

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Q: Differentiate the function. (4t + 1)3 (5t – 1)4 F(t) = In F'(t) =

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Q: Find the relative maximum /minimum values of the function x-2 f(x) = x+2 %3D State where the…

A: Given problem:- Find the relative maximum / minimum values of the function   f(x) = (x - 2)/(x + 2)…

Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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Q: A 24 factorial design (with factors A, B, C, D) is to be conducted in four blocks. Divide these 24…

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Q: Find the unit vector of n = (4,-3) .

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Q: (d) Determine the probabilities of the following events: E1, E2, E3 E1 O E2 E1 U E2, and E2

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Q: Find the area bounded by x = y²- 2y and x =4 - y

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Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb.…

A: from the resultant 102 = 52 + 82 + 2(8)(5)cosx 100 -25 -64 = 80cosx cosx = 11/80 cosx = 0.1375 x =…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (13, 14, –12) Vw(13, 14,…

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Q: Show detailed solution for the following integral: (Non-anonymous questionO) S tan'z sec³z dz 7

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Q: 51 tan 12

A: Follow the procedure given below.

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 9) v = (sin(0),…

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