V ? x -dx 1-31nsec cot x

Q: Let V be the volume of a pyramid of height 20 whose base is a square with side length 8.

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Q: The quadratic approximation at x = 1 to f(x) is Q\left(x\right)=10+3\left(x-1\right) 3 (x – 1) + 2(x...

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Q: Find the value of a . lim,2 sin a(x-2) 3 2-2

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Q: The following shaded region is to be rotated about the line æ = 1 to generate a solie y = g(x) y = f...

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Q: It is known that the population of a certain country at time t is proportional to the people living ...

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Q: Igure 3 below shows the region W bounded by the curve y x? and the line y = x. y dd or cre (6,6) rk ...

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Q: Suppose g(x) = f(3+4(x – 5)) and f'(3) = 4. -

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Q: Use the definition of the derivative to find the derivative of, g(x)=x3−2x2+x−1

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Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A 3...

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1) =...

Q: If f(x) 3. find f'(4).

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Q: Radium decomposes at a rate proportional to the amount present. If the half-life is 1600 years, find...

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is a=100% half-life is ...

Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0...

A: We will find the asymptotes of the hyperbola.Below find the solution in the image.

Q: 775 7x - 8x + 5x' If f(r) find f'(z)

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Q: 2. Consider the graph of g(x) 2x+3-1 a. List any x-values at which g(x) is not differentiable: There...

A: Given: gx=2x+33-1 The graph of g(x) is shown as:

Q: a) cos -1 V3 b) V3 sin- c) cos cos d) sin sin- 4 cos cos 2

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Q: Write a full soultion Let consider the following function: f (x) = 2(x + 1)^2 −8. a) Find the doma...

A: We have to find domain and range 

Q: A cylindrical gasoline tank with radius 4 feet and length 25 feet is buried on its side underneath a...

A: Volume of a cylinder is given by V = πr2h, where V is the Volume of cylinder , r is the radius of cy...

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep saf...

A: Given that Farmer Jones and his wife , Dr. Jones, decide to build a fence in their field, to keep th...

Q: xdy – ydx – /x² – y?dx = 0 -

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A: topic - equation of ellipse

Q: The function f(æ) can be approximated by L(x) = 3 – 2(x – 4), near x = 4. What is the value of f' (4...

A: topic -linear approximation

Q: Find 18. | cot°0 sin*e de

A: Since we are given with the multiple number of questions and our guideline is solve the problem.

Q: Find the derivative of the following functions using the limit definition. 1. y = x² – 4x – 5 -

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Q: Which of the following statements is true about the equation of an ellipse that satisfies the follow...

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Q: 4. Using the limit definition find the derivative of f(x) = V

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Q: If f(x) find: 7+x2 f'(x)-

A: The solution are next step is

Q: Find the derivative of the function f by using the rules of differentiation. f(x) = 3x4 - 3x7/2 + 7 ...

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Q: b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and 1 y =x +1 as shown ...

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Q: a²f Compute :f(x.y) = (x + y)(2x + y)² and ax 'ay дхду

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Q: 6. If f(x) = x³ - x, find and interpret f"(x)

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Q: 3. Use cylindrical shells to find the volume of the solid eenerated when the shaded region is revolv...

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Q: 7. Let f(x, y) = xy² and r(t) = (2t2, t³). (a) Calculate V f. (b) Calculate r'(t). (c) Calculate f (...

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Q: Simplify f(x). х3 — 4x2 - 16х + 64 f(x) = X - 4 x² – 4 for x * 4 f(x) =

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Q: Given the angles a, B where 0 < a, B < - which of the statements is TRUE? 4 O The angle a+B is in QI...

A: Topic = Trigonometry

Q: Which Riemann sum represents the illustration shown? AY 32+ 24+ 16+ 8+ X 1 2 3 4 4 o 1 2 2x,² i=1 3 ...

A: The points in the curves can be identified as: x=2, y=8 x=4, y=32 So, the curve represents the funct...

Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

A: given,

Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h...

A: We will find the equation of tangent line as shown below

Q: Which integral would represent the area shown? AY 8 4 X 0.5 1 15 2 2.5 6 2xdx o (2r + 1) dx 6 (2x + ...

A: topic - application of integration

Q: 12. Find the first derivative of y = 2cos(2 + x?). A. -4x sin (2 + x²) B. 4x cos (2 + x*) C. x sin (...

A: Since you have posted multiple questions. As par guidelines we"ll solve first question only. If you ...

Q: nd the volume of a solid obtained by rotating the region underneath the graph of f(x) = 3x³ about th...

A: We have to find volume

Q: At what point do the curves r (t) = (t, 2 – t, 24 + t²) and r2(s) = (6 – s, s – 4, s?) intersect? %3...

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Q: Use your knowledge of the properties of logarithms to match equivalent expressions: bv log, (1) а. т...

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Q: Find the vertical shift of the sinusoidal function. fx 7- 5- 4 720 540 360° 180 081 360 540 72에 -2 -...

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x...

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Q: 1. y = x + 3V72. y = x - 3V 3. y = 3x"4. y = -5x + 25. y

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

Q: 1. Show that c(t) = (e¬t cos t, e-t sin t), 0 <t <∞ has finite length and calculate its valu

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Q: -1 Compute the area of the region enclosed by the lines y = r and y = z and the curve r = 10 – 2y?. ...

A: This question is related to application of integration.

Q: Suppose u(t) = w(t? + 4) and w' (5) = 11.

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Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy