Using the process shown in this unit, sketch the function y = 2x3 - 3x2 - 11x + 6, labelling all key points on your sketch. Show all work to determine:  the y-intercept any x-intercept(s) Critical point(s) Inflection point(s) Intervals of increase/decrease

Q: 2. lim (tanx) (sin r-1) x→

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Q: S 32-3x|dx

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Q: Example Find dy/dx for the function y = x² In (4x)

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Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: Find the volume of the solid that results when the region enclosed by y = √√√x, y 0, and x = 49 is…

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Q: (a) the volume of R using cylindrical coordinates with dV= r dz dr de where R: x≤ 1,0 ≤ y ≤ √1-x²,…

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Q: A ship leaves port travelling North West at 12 knots. A second ship leaves the same port 3 hours…

A: Given: Let first ship be Ship A and second ship be Ship B. Speed of ship A = 12 knots =12 nautical…

Q: Perform the integration. TT 3 sec³x tan x dx 2 + sec x 0

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Q: 9. A child is flying a kite with a 45-ft string at an angle of elevation of 50°. Which of the…

A: Let's find altitude of the kite in feet.

Q: 1. Find the area of the region bounded by the curves y = 3x and y=x².

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Stan 3x sec 3x dx 3.

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Q: Evaluate the limit: lim (x - Inx)* x→0+

A: Using limit definition

Q: Find the average value of f(x) = -3√x + 5x over the interval [0, 3]. Submit an exact answer using…

A: This question can be solved using the concept of average value of function over an interval.

Q: VII. Given a region R enclosed by the curves y = 1 + sin (F), 4 as shown below. (2,4) (2, 2) (-2,0)…

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Q: T Evaluate sec²20d0 a. 00.33 b. 0.5 c. 0.67 d. 0.25 e. NONE OF THE ABOVE O A OB O O D OE

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Q: २ -2 el dy ely +2 e. 2

A: To integrate.

Q: Question Eight y s 8 7 5 4 14 4 3 -2 -1 The diagram shows the shaded region bounded by the curves y…

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Q: Suppose the ball is dropped at rest from the top of the house 64 ft above the ground and the only…

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Q: A group of management students are creating a business plan for their proposed shoe brand Sole…

A: Marginal profit is the profit earned by a firm or individual when one additional or marginal unit is…

Q: Determine the values of r for which the given differential equation has solutions of the form y = t'…

A: To find for what  values of r the given term becomes solution of differential equation.

Q: Find the area bounded by the curve 2x² + 4x + y − 0 and the line y + x = 0 a. 1.000 b. 1.125 c.…

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Q: The area bounded by the graphs of y = 2 - x^2 and y = x^2 revolves about the x-axis. Determine the…

A: The given curves are y=2-x2 and y=x2   Now find the point of intersection between the given curves.…

Q: S 1 C=S²x + Sin'x

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Q: 3 2 พ 2 cos2 4x dx

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Q: determine the parametric equations of the tangent axis to the ellipse x²/9+y²/4=1 at the point T =…

A: As we know that the parametric equation of ellipse at a point acosθ,bsinθ  is given by…

Q: Find ди ds if w = sin(xyz), x = 1 - 3t, y=e¹-t, and z = 4t, find o

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Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2t sin(3t) - 3te5t…

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Q: Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent,…

A: Given problem:- Suppose y = f(x) is a curve that always lies above the x-axis and never has a…

Q: 4. (9% +3³ +2²) dx 5. J 10% dx (10% +1) 6. f2x(ex+1-2²) dx

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Q: Q1-A/Find the domain of the following functions. 1-f(x) = √(sin(x) - 1) 2-f(x)=-/In(5x-x²/4)

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Q: Shawn invested $130 at the end of every month into an RRSP for 13 years. If the RRSP was growing at…

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Q: 4. A group of management students are creating a business plan for their proposed shoe brand Shoelt.…

A: A group of management students are creating a buiseness plan for their proposed shoe brand Shoelt.…

Q: Evaluate the following definite integrals using the Fundamental Theorem of Calculus:

A: The given two integrals are:a∫-552xx2+2dxb∫01x3+1x+1dxFundamental Theorem of Calculus says:If Fx is…

Q: 4. Evaluate the double integral: So p 1/3 27 +1 (Hint: Change the order of integration to dy dx.) dx…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: 5. Use Cartesian coordinates to evaluate ㅋ yy dv where D is the tetrahedron in the first octant…

A: Let's evaluate given integral.

Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

A: This question is related to profit and cost functions, we will solve it using given information.

Q: equences . Given that a₂ = 6 and as 96 are terms of a geometric sequence, find a. 2. Given that a10…

A: solution

Q: Find the area bounded by the curve y = coshx and the x-axis from x = 0 to x = 1. a. 11.75 sq. units…

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Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)=pi/6. 1…

A: We use the concept of exact differential equations to find the general solution to given…

Q: Determine the derivative of the following function. Do not simplify.  y = (x - 2)3√2x-1 (sqaure…

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Q: Perform the integration. (sinh x)(coth? x + csch3x) dx

A: Here is the solution:

Q: II. Evaluate the following integrals. 4. J 9x - 5 dx 18x + 13 9x² 6

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Q: Test for exactness then solve. (cos x cos y − cot x)dx − (sin x sin y )dy = 0

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Q: I can't understand your solution.

A: Let's solve given integral.

Q: Evaluate the indefinite integral given below using the indicated substitution. /-20 -2(-2x +9)³ dx u…

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Q: w = 4x + y² +2²³₁ x = ers²₁, y = 1 y = In(r+s).

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Q: 4x Find the average value of the function f(x) = = 5 Submit your answer as an exact value. Provide…

A: We know that average  value of the function f(x) on [a,b,] is 1b-a∫abf(x)dx

Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

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Q: * (sin(2a) + cos(2x)) da Jo

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