(1) Plot the graph of y = r³ – 3r - 5 = 0, and find where the curve crosses the T-axis and the y-axis.

Q: Use Table the limit of values to deftermine tim

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Q: Identify the quadric surface each of the following equations represent and sketch its graph. A 9n? +...

A: Given that: 9x2+4y2+36z2=36

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Q: A track and field athlete participates in the shot put and throws, (pushes)a shot at an initial velo...

A: Topic name -  projectile motion  A    60.81 feet B.  54.17  feet  C.  195.4   feet

Q: limit

A: Please refer to the image below

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A: We have to solve given questions on the basics of Given graph.

Q: SOLVE: dv 500

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Q: Implicit differentiation

A: Given that: 1. 2x3y+3xy3=52. x2=x+2yx-2y3.xy-4y=x           NOTE: As per our answering guidelines, w...

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=5x-5x+7. ...

A: Average rate of change of f(x) as x changes from a to b is given by, A(x) = [f(b) - f(a)]/(b - a)

Q: &

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Q: 8. The rate at which ice is melting in a small fish pond is given by dv %3D dt V1 + 2, where V is th...

A: Let's find. 

Q: Зx+4 dx х2+3х+2

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Q: 1. S(x² – 2)² dx

A: Solving the problem by doing the integration.

Q: Identify the quadric surface each of the following equations represent and sketch its graph. O 92" +...

A: 9 x2 + 4y2 + 36 z2 = 369 x236+4 y236+36 z236=1x24+y29+z21=1x222+y232+z212=1

Q: 2. Using the definition of derivative, prove the following: 1 (a) f^(x) = if f(x) = Vx 3/x (b) y=sec...

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Q: (*+2x* -1) ? 5. What is f(-2) if lim, 5-3x 12 В. 6. C.- 15 D. -- А.

A: Given that: limx→-2x3+2x2-15-3x

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A: Given: r(t)=et cost i +et sint j+et kTo find the tangential and normal components of acceleration:Fo...

Q: 9. Some weird shapes: For the following functions, use desmos to plot them dy for each of dx and com...

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Q: A. Evaluate the following integrals. S(x² – 2)² dx 1.

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Q: Find the equation of the tangent line (in Slope-Intercept Form) at the given point. Function: h(t) =...

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Q: Evaluate the given integral. Use exact values. 7x2 26x +23 d.x (x - 1)(x – 2)“ %3| +C

A: The given integral,           ∫7x2-26x+23x-1x-22dx

Q: 10. Bonus: Let y = Va + Vx + Vx+ ... to infinity. What is the expression for y'? (Hint: Try to find ...

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Q: (a) Find the exact area of the surface obtained by rotating the curve y = e^x about the x-axis over ...

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Q: 28. The line segment joining (0,7) and (-6,-3) is a diameter.

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

Q: X + |

A: topic - indefinite integral

Q: Evaluate the following triple integral: 3 x x 6z dzdydx 0 0 y

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Q: Solve the equation for 0 <0 < 2T = 4+ sin 0

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Q: 3. Find the area bounded by y = x2 – 2x – 3 and y = x+ 1.

A: Calculus   -  area between two curves .

Q: Q3. A) Test the continuity of the function f(x): F(x) = 3- x 2 <x <3 3< X < 4 X = 4 X +1 2х -1 B) Fi...

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Q: A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co-or...

A: This question is based on finding equation of tangent line at a point on a given curve.

Q: 3. If f(x)=x² – 2x, find the average rate of change (a) from x = 3 to x= 5 (b) from x = 3 to x= 3+c;...

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Q: 3. f (x) = V1+ v1 – x 4. у %3

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Q: Find the derivative 1. y = Vx² – 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A: We will find the series is converge or diverges.Also the sum of the given series.Below find the solu...

Q: solve for x, (2² + 20x) ((2,² + 20x)/(2r/5 + 20))23 = 2/3 = 1489.64 2x + 20x

A: Let's find. 

Q: Use the Reimann ntegral to evaluateS vdv.

A: In this question we have to find the Reimann Integral.

Q: Construct a difference table to predict the next term of the sequence. –50, –68, –78, –80, –74, –60,...

A: Arithmetic series 

Q: Determine the a) vertex, b) focus, c) directrix, d) axis of symmetry, and e) opening of the parabola...

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Q: 39-40 A particle moves along a straight line with equation of motion s = f(t), where s is measured i...

A: 39.f(t)=100+50t-4.9t2 at t=5

Q: #9 all

A: 1)Find the tangent of the curve y= 3+4x2-2x3 at x=a. 2) find the equation of tangent line at point (...

Q: 3. Center: (3, -5) radius: 2 4. Center: (1, -1) radius: 5 5. Co

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Q: 3. f(x,y)= In(x cos y)-cos (In3y)+

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Q: Evaluate the following indefinite integral. Use C for constant of integration. * cos(10x) + sin(20x)...

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Q: 4. The graph of the function f(x)= /16-x² is a half-circle. If we shift this graph 2 units to the le...

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Q: I. Obtain the differential equation of the family of curves described and sketch some members of the...

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Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: Activity 1: For odd-numbered questions, determine the equation of the normal. For even-numbered ques...

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Q: Let Sk denote the sum of the first k terms of an arithmetic series. If S2n/S2 = 3 for some integer n...

A: Given that sk  denote the sum of the first k terms of an A.Psk=kk+12s2ns2=3To find : s5ns3nSolution:...

Q: 1 (b) 49 343 61 343 An = 3 7 11 15 (1s 12 16" 27 64 VaV V云 8 (c) (d) an三

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Q: 152 CHAPTER 2 LIMITS AND DERIVATIVES temperature is 75°F. The graph shows how the temperature of the...

A: To find the rate of the change of the temperature after an hour.