log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

Q: -1 Evaluate: lim a. 00 O b. 1 O c. 0 d. - 00 QUESTION 3 Using differentials, if determine the approx...

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Q: x8cos3x %3D Vx-1

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Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural nu...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: dy when (cos x) = (sin y)* dx A Find %3D

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

Q: Use logarithmic differentiation to find the derivative of the function. y = x4/x y'(x) =

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Q: 1 4 0, 9. %3D

A: Topic:- sequence and series

Q: Σ n K. n=1 e

A: According to question,Given series,∑n =1∞ nen2

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She e...

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Q: a). Determine whether Rolle's Theorem applies to f(x) = , on [-2,2]. %3D b). If so, find the point(s...

A: Topic:- calculus

Q: Find terminal point Q of vector PQ =    <9, −2, 1>   with the initial point at P(...

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Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: Oil is leaking out of a tanker damaged at sea. The damage to the tanker is worsening as evidenced by...

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Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphere of r...

A: We have to find the flux (F*n)d-sigma where F = (3xy^2, 3x^2y, z^3) and M is the surface of the sphe...

Q: Example 19: (a) If x +y = 25, find dy/dx. (b) Find an equation of the tangent to the circle x +y = 2...

A: As asked we can find the necessary answers as below 

Q: Find the length of the curve defined by the following function for 0 <t < 2n. 7(t) = (– cos 2t)i + (...

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

A: NOTE: Refresh your page if you can't see any equations. . here we have 

Q: expressed in cylindrical coordinates, is (v2, -7, 0). What are the Cartesian (rectangular) coor 1, 0...

A: We will express the cylindrical coordinates in Cartesian coordinates. 

Q: ACTIVITY 3: Estimating slope of a tangent line, limits of a function & One-sided limits Estimate the...

A: We are given the curve, fx=-2x2+3x+5 We need to make a tangent line at the point P1,f1. f1=-212+31+5...

Q: Select a correct statement concerning the curvature of the graph y = x2 on the xy-plane. O The curva...

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Q: Evaluate: A 3 2(,s–3) (c +C 15 4lnr None

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Q: Determine the absolute extreme values (maximum and minimum) of the function f(x)=Vx² -4x+13, for 0<x...

A: Topic:- application of derivatives

Q: f(x) = and g(x) = 2x 1 and h(x) = 1 4x-1 %3D

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Q: х+ 3 f(x) %3D x2 - 9

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Q: (a) Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point (, 2) %3D

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: Evaluate the following integral. dx x(x² + 3) Can partial fraction decomposition be used to evaluate...

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Q: - 3x + y = 6 ax + 2y = 4 In the system of equations above, a is a constant. For which of the followi...

A: Given :-3x+y=6ax+2y=4

Q: 1. S xª –1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: A closed box whose length is twice its width is to have a surface area of 192 square inches. Find th...

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Q: Evaluate the following integral. 169 dx 3 x° - 13x Find the partial fraction decomposition of the in...

A: Given problem:-

Q: A train moves at a velocity of v(t)= 3t" - 3200t km/sec where t in seconds is the time passed since ...

A: Find your answer below 

Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

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Q: d) Describe the continuity of this function and make a sketch of the graph.

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Q: ASAP

A: We will find the number of vertices for the given degrees. 

Q: The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be present in 90...

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Q: 5. Let f(x, y) = 3xr² + xy- y. (a) Compute f(1.02, 1.99) exactly. (b) Let f(1.02, 1.99) = f(1+0.02, ...

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Q: ass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a ...

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Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"...

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Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: Find T(t), Ñ(t), B(t), and curvature k for the following curve. (The curvature is constant.) 7(t) = ...

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Q: solve ∫ 1/((x+2)^2(2-x)^2) using partial fractions

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Q: 4. Find by implicit differentiation of x sin(y) = y cos (x) dx

A: The given problem is solved below in detail.

Q: An integral expression for the area of the surface generated by rotating the curve X =Vy, 1sys8 abou...

A: According to our policy we are allowed to answer only one question at a time. Kindly repost other pr...

Q: 5a) Using the formula man = lim+)=/G2 determine the derivative/ slope of tangent for h→0 the given f...

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Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured co...

A: Here we will find the magnitude and direction of given vector,

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: What is the center and radius of the sphere whose equation is (x + 1)2 + y2 + (z + 4)2 = 5? (-1, 0, ...

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

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Q: Find the velocity and position vectors of a particle, given its acceleration and initial conditions ...

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Q: 3(х — х у? г) dx dy dz Evaluate O 5 O 8 O 6 O 7

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