Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

Q: uestion 1. Consider the second order partial differential equation = c? dx² (1) r an unknown…

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Q: 3. Find the z= 4 a. area bounded by the curve ay² = z* and the line Ans. 141 a².

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Q: Determine whether the work is correct or incorrect. If incorrect, find the error and correct it.

A: Here given as 1224=2+4+62+4+6+12=112 It is an incorrect process.

Q: how will you convert thris punction into indeterminate porm ? In x lim X-o O cot x

A: We know that  ln(0) tends to -infinite and  Cot (0) tends to infinite

Q: given : g(2) f(a) = 9'(a) = 2 f'(2) = 2 Find h'(2). iF bANE n(x) = In f (X) + x g(x) %3D %3D f(2) 1…

A: We have to find

Q: 8. Two planes take off at the same time from an airport. The first plane is flying at 255 miles per…

A: If there are no wind currents blowing, we have to find how far apart are they after 2 hours. andWe…

Q: 3. Lompoc, California, is 18 miles due south of Nipomo. Buellton, California, is due east of Lompoc…

A: Given:       Lompoc is 18 miles due south of Nipomo.       Buellton is due east of Lompoc and S 65°…

Q: Suppose you have two fair dice, each with 6 faces. • One die is coloured blue and has the following…

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Q: Maps Iranslate GE News IE. New Tab 51° E 17 m Find the length DE. O 10.7 m O 13.2 m O 13.8 m O 21.0…

A: We have given a right angle triangle  As tanθ = perpendicular/ Base    tan510 = FEDE    tan510 =…

Q: Let a, b e G such that a and b commute, i.e. ab = ba. Note that we are not claiming G is abelian.…

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Q: Find all the subgroups of Z48. Then draw its lattice of subgroups diagram.

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Q: Find the area of the region bounded by the spiral r= 0 for 0<0sT. r= 0 2 (u,ח) The area is (Type an…

A: The objective is to find the area of the region bounded by the spiral r=θ for 0≤θ≤π

Q: Divide (Be sure to express your final answer in the appropriate format.) -2x* - 6x2 – 11 x² + 4x + 1

A: We will use long division to divide.  The first target is to cancel -2x4. For that, we multiply…

Q: A class of 150 students took a final exam in mathematics. The mean score was 72% and the standard…

A: Here, µ = 72%, σ = 14%, and n = 150.

Q: 6. An interpolation polynomial is given as follows 1 P,(x) = -16+9(x+1)–2(x+1)(x) +…

A: Given: Let us consider an interpolation polynomial is given as…

Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-…

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0…

Q: 10. Y = g-'(g(x)) %3D Ах В х-1 Сх+1 D x? + 3

A: Given function is  f(x)=x^2 and g(x)=x+3

Q: Need the radius

A: In ∆ABC , Perpendicular bisector drawn to each side of the triangle meets at the centre of the…

Q: de a YO Cos ? ( de) ja - 9+an? (d@) 2

A: Given :- ∫1cos2aθa-9tan2aθ dθ Can be written as, =∫sec2aθa-9tan2aθ dθ put u=(3i)tanaθa =&gt;…

Q: Let F (x) = | f(t) dt, where f(t) is the function described by the graph below. Decide which of the…

A: Given: Let Fx=∫0xftdt, where ft is the function described by the given graph. To Find: Which of the…

Q: d) 4tan²x + 2tanx - 3 = 0

A: We have to solve

Q: mple is rder to be 99% confident that the sample proportion will not differ from the true proportion…

A: Given : Margin of error: ME = 0.06 sample proportion: p̂ = 0.23

Q: The random variable X is the number of people who have a college degree in a randomly selected group…

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Q: 4 ft 8 ft 17 ft 4 ft 8 ft 7 ft 5 ft 7 11 ft 9 ft 15 ft

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Q: 1 Consider y(x) to be: y(x) and that point P (2, 1/5) lies on that curve. 1+2x (0) Find the slope of…

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Q: Find all values z of the given quantity. (Enter your answers as a comma-separated list.) sin- z = n…

A: To find all the values of z,  z = sin-1(5/13)

Q: what is the deivative oF: tan(3x) eX y = In x

A: The given function is: y=2xtan(3x)ex8ln x