From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection and concavities

Q: 26. Find the equation of the tangent line to the curve h(x) = √3x − 1 at x = 3 3 A. y − 2 = ³/(x +…

A: 26.   The curve h(x)=3x-1 at x=53 Note:      Multiple questions are given, we are answer only one…

Q: Which equation represents the graph of the circle? O(x-3)+(y + 5)² = 16 O(x+3)²+(y+ 5 = 4 Ox+3²+(-5)…

A: We know the standard equation of the circle is: x-h2+y-k2=r2 Where:  center: h,kradius:r Given:

Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: -4 -3 -2 3 2 -1 -2 -3- ● 1 2 3 نیا X

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Q: olve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or…

A: Here we have to us ethe feasible region for the solution of the problem.

Q: Find the general solution of the following linear differential equation:…

A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

Q: √9-x²2x √ O O√9-² % √9-2 - - Arcs + C +Arc3in Ễ+ế

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Q: Find all values of z satisfying the given equation. (Enter your answers as a comma-separa cos(z) =…

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Q: Which of the following equations represents the parabola with vertex at (3, 2) and directrix y = 4?…

A: To find out the equation of the parabola.

Q: Solve: 9 d²y/dx² -24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer.…

A: We have to solve given Questions.

Q: M 10. Integrate f x² ln x dx Oxln x³ + +C Onx-x³ + C Onx²-x³ + C Onx-x³ + C

A: Integrate ∫x2lnxdx=?

Q: Given f’’’(x)=e^x with f’’(0)=6, f’(0)=2, then f(x)= ? + C Note that your answer should not contain…

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Q: 2. Consider the following system s-1 G(s) s5+5s4 + s3 - s2 + 4s +3 Determine if the system is BIBO…

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Q: Compute the derivative. y = cos (te-61) (Express numbers in exact form. Use symbolic notation and…

A: y = cos(te-6t) here we use chain rule and derivate the equation  with respect to t

Q: Evaluate the trigonometric function below from x = 1 up to x = 5. S(sin√T sin √x) dx √x

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Q: s! = xpε + ₂x7M9+ ₂X†)x]

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Q: 2x (x-a)² dx; a is constant

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Q: 9. The volume of inflated beach ball is about 2423 cm³. What is the diameter of the ball?

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Q: Express the given quantity in the form a + ib. sinh 8 + )

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Q: 348, 7.) x and y are vectors between them and 2, respectively, with an angle of 120° of 3x + 27. the…

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Q: Express e in the form a + ib. (Simplify your answer completely.) z = -0.26-7

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Q: Question 4 a) It costs $1500 plus $5.00 per bottle to produce the lotion. If x represents the number…

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Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: Use the Chain Rule to find the derivative. y = cos (e40) (Express numbers in exact form. Use…

A: Given.

Q: IV. Implicit differentiation 114 4. x³y + xy² = 3 and x = 1, find y' and y²

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Q: point of observation a airpalne X h = 5000 m

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Q: 11. Find the area bounded by the curve 5y²-16x and the curve y²=8x-24. A. 30 sq.units C. 16 sq.units…

A: We need to find area bounded by curve.

Q: 7. For the sinusoidal function given below, find: a) The period and the equation of the axis -120°…

A: a) Here, from the graph to find the period and the equation of the axis.

Q: y+2y+y=sin x-4e™.

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Q: 2. S dx exte-x 3. fx sec² x dx 4. esinx cos x dx

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Q: #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.)…

A: 2.b) gx=x+2, P-1,1d) fx=5x-2, P4,52 Note:     multiple questions are given, we are answer only one…

Q: 15. What is the appropriate total area bounded by the curve y = sin x and y = 0 over the interval 0…

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Q: Express e in the form a + ib. (Simplify your answer completely.) z = 3/

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Q: ÏÏ3 2 2y cos dydx

A: Given: ∫π2π∫0x22x2cos2yx2dydx

Q: B) using polar coordinates. Find the value of the binary integral: e--y²) dA. ** Good Luck **

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

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Q: 1. f(x√ x² -9]dx 10.

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Q: 10 - The value of 3x³ Jo(x) x=0 a) 8 (2) x³ Jo(x) dx is. b) 8/₁(2) c) 8/₂(2) d. 8/3 (2)

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Q: ☆ 6. Find the integral of xx²-1 O Sin ¹x + C 4 O Sec-¹x + C Cos ¹x + C Sec-1 (1)

A: Here we have to find the integral.

Q: Select the domain the function below f(x)=√x All real numbers O Non-negative real numbers O…

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Q: A stone thrown into still water causes a series of concentric ripples. If the radius of outer ripple…

A: Given: A stone thrown into still water causes a series of concentric ripples. If the radius of outer…

Q: Sketch the set of prints determined by given Condition 러니 12-util =3 -i

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Q: Review Exercise 1. Determine vector and parametric equations of the plane that contains the points…

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Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

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Q: 3. Find the integral of the function below in terms of z záz Of 1+z dz Of 1+ 32² dz O 1+ 37 dz Or…

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Q: A horizontal trough is 16m long, and its ends are isosceles trapezoids with an altitude of 4m, a…

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Q: A doll sold for $249 in 1977 and was sold again in 1986 for $472. Assume that the growth in the…

A: This question is related to exponential function,we will solve it using given information.

Q: The gradient of the function 2x1 + x2-3 evaluated in x = (0 0 0) is: OA. Vf = (1 2 3)T OB. Vf=(0 0…

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Q: Find r(t) if r '(t) = 2t i + 4t3 j + √ t k and r(1) = i + j. r(t) =

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Q: If 4x² - 2y2 = 9 then 2y² dy dx

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