6. y F-2x

Q: Consider y = (1 + 3x²) Arctan x - 3. what is its derivative? %3D 1 +3x2 1 + x2 A - 6x Arctan x 1 +3x...

A: 7). As we know that: The product rule:  f·g'=f'·g+f·g' The sum/difference rule: f±g'=f'±g' The Power...

Q: Question 4 The area of a circle is changing with respect to its diameter. Which of the following equ...

A: Let's find. 

Q: lim (x,y,z)→(0,0,0) xy + 5yz2 + 2xz? x² + y2 + z4 Find if it exists. 1.0 2. The limit does not exist...

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Q: Compute the gradient of the following function and evaluate it at the given point P. g(x,y) =x? - 3x...

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Q: Suppose that the position of a particle is given by s = f(t) = 5t + 2t + 9. (a) Find the velocity at...

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Q: 3t2 + 1, y = 2t3 +1 that pass through the point Find equations of the tangents to the curve x = (4, ...

A: NOTE: Refresh your page if you can't see any equations. . the given point is (4,3) sot ake y=3

Q: The spread of a virus is modeled by V (t) = -t³ + t2 + 12t, where V(t) is the number of people (in h...

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Q: Suppose multiplication over rationals was defined as follows:

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Q: x-1 lim T→3 x2-4x+3

A: Topic:- Limit  Limit at X ---->3 is does not exist. 

Q: Using Newton-Raphson Method, find the root of the given function f(x) = 33x – e-2x – 32 + sec x

A: Given that: f(x)=33x-e-2x-32+secx

Q: Given f(2) = 9(x – 1)*(r + 2)°(2¤ – 3)*(2 – 4)² List the zeroes (ex. 4, 6, -2): Degree: End behavior...

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Q: Find the 1st quadrant area bounded by y = vx – 2, X and x = 11 Provide a sketch; show 2 solutions wi...

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Q: Use the following integration formula for inverse trigonometric functions. du 1 arctan ) + C a² + u?...

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Q: 78. 3 (2.) 1234

A: Given query is to find the equation of the tangent line.

Q: 4-

A: The Domain is (-2,8) and the Range is (-4,-1).

Q: Find the centroid (ã, §) of the triangle with vertices at (0, 0), (2, 0), and (0, 8). || 18

A: Recall: Centroid of a Triangle with vertices are (x1,y1) , (x2,y2) and (x3,y3) is x1+x2+x33,y1+y2+y3...

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=x2-극 In(x), 2...

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Q: Find the directions in the xy-plane in which the function f(x.y) = 8-2x - 4y has zero change at the ...

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Q: Use the Shell Method to compute the volume of a solid obtained by rotating the region enclosed by th...

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Q: b) y = cosh(2Vx+1)

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Q: If f(x) = COS x 3 tan x, then find: | f'(x) = f'(1) =

A: Given  f(x)=cos x-3tan x

Q: d'y Find for dr? y = cot(x) dy %3D dx?

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Q: 4. 3 y = f(r) 1 4.

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Q: Find the following for the given equation. r(t) = (t? + 9t)i + (t² – 9t)j (a) r'(t) = ( 2t + 9 )i+ (...

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Q: The graph of a function f is given. Use the graph to estimate the following. y X (a) All the local m...

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Q: y'(1) = y³ sin t, y(0) = 1

A: Given, The initial value problem y't=y3sint   and  y0=1 We have to find whether the equation is vari...

Q: 4. Write the standard form of the equation of a circle that passes through (4, -3) and whose cente a...

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Q: x²-1 7. lim x→4 V4x 1 1 8. lim 3 x-3 x-3

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. (y2 + 2)3/2, 2 <...

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Q: Solve the following equation. 12 sin20-3= 0, 0s0< 2n What are the solutions in the interval 0<0<2n? ...

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 0 < x < 12

A: Recall: when the function y= f(x) is rotated around y-axis . the interval a≤x≤b,then the surface ar...

Q: (a) Draw the graph of 7x + 2y + 14 = 0. (b) Does the equation of part (a) define y as a function of ...

A: we have to draw the graph

Q: 2x-5 Find the equation of the tangent line to the graph of f(x) = at the point at which x+1 x = 0.

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Q: y = V¤(a° + æ®) Calculate the derivative using the product rule. f(x) = and g(x) which means that f'...

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Q: Water is flowing into a pyramidal water tank with a square top 3 meters on a side and 7 meters in al...

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Q: 2x и"(х) — и

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Q: List the points in the xy-plane, if any, at which the function z = 7+ ((x-4)² + (y+3)²)´ is not diff...

A: The given function is as  z= 7+((x+4)^2 +(y+3)^2)^2  We have to check the that this function is diff...

Q: Question 11 What is the derivative of y =V x3 -2x² +x -2,

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Q: If the ball is thrown upward at 96 feet per second from the top of a building that is 120 feet high,...

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Q: Question 6 2 Using mathematical definition of derivative, which of the following statements is true ...

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Q: Use the Product Rule to find the derivative of f. f(x) = csc(x) sec(x) f'(x) = %3D

A: Topic :- Differentiation 

Q: Find the function whose derivative is Inx+1. A) xlnx B) x+xlnx x+1/x D) x+Inx

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Q: '2 (c) f(x) dx -2+ 2n (d) f(x) dx -4 2(1–n) (e) |F(x)[ dx 2 (π-1)

A: Since you have asked multiple question, we will solve  first 3 subparts of the question for you as p...

Q: sin(2 x) + 2 Find the function whose derivative is e 2cos x

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Q: Find the exact length of the curve. 1 X = Y + 1< y< 2 8 4y2

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Q: Question 13 sin(2mx) | COS(mx) Evaluate lim TI 2m

A: limx→π2msin(2mx)cos(2mx)

Q: Evaluate the following limits. If needed, enter INF for ∞ and MINF for -o. (a) lim (Vx2 – 3x +1– x %...

A: NOTE: Refresh your page if you can't see any equations. . multiply and divide by 

Q: 166. Harmonic Motion The displacement from equilibrium of an object in harmonic motion on the end of...

A: Given data is: y=13cos12t-14sin12t Find the position and velocity of the object when t=π8

Q: Complete the table of function values. Do not use a calculator or tables. Evaluate the six trigonome...

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Q: Calculate the derivative of the function below using the quotient rule. 9x y = 5x + 8 f(x) = and g(x...

A: Given query is to find the derivative using quotient rule.