Simpson's 3/8 Rule for integration is mainly based upon the idea of O Approximating f(x) by a 3rd degree parabol O Approximating f(x) by a 1st degree parabola O Approximating f(x) by a 4th degree parabol O Approximating f(x) by a 2nd degree parabola.

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x³ - 18x²…

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Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A: There are two planes on the XY axis.We are at the origin.  Plane X: The first plane is due west of…

Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…

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Q: Find the critical numbers and any local maximum and minimum points for the function ex f(x) = 2x…

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Q: Using the Inverse Function Theorem, what is (1-1) (8) given that /(x)=√√61-2? Note that (11) = 8.…

A: find inverse function

Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

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Q: If 40 articles cost $35.20, how much does 1 article cost? What is the cost of 55 articles

A: I am attaching image so that you understand each and every step.

Q: sec² x 0 1+tanx If sh -TT/2 -TT/4 TT/3 TT/6 O dx In 2, then what is the value of k? =

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Q: Find the net signed area of ƒ (x) = x - 2 over the interval [0, 6], illustrated in the following…

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Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…

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

Q: Use the formula for the area of a trapezoid to evaluate √₂² (2x- 2 (2x + 3) dx.

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Q: (a) Find the average value of f(x) = 25 - x² on the interval [0, 2]. Answer: (b) Find a value c in…

A: SOLUTION-

Q: ·1₂ 3. 1³-x²+2-1 dz

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Q: (b) Using implicit differentiation Find the derivative of 1. y³ + 3x²y = 13 with respect to x and…

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Q: Evaluate the given integral by changing to polar coordinates. sin(x² + y²) da, where R is the region…

A: Given :∫∫Rsinx2+y2dAR :Radius of unit circle is 3 and 4

Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2e…

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Q: ) What function f(t) has Laplace transform: s² +1 f(s) = 5(s² + s−12) 2

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Q: A fast-food restaurant has a cost of production C(x) = 14x + 126 and a revenue function R(x) = 8x.…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 3 and x = -4 x intercepts…

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Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

Q: The position in feet of a race car along a straight track after t seconds is given by s(t) = 4t² - t…

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Q: Find the area between f(x)=x²-12 and the x-axis from x = 0 and x = 2. The area is square units. ...

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Q: A region bounded by f(x) = 3 − x, y = 1, and x = 0 is shown below. Find the volume of the solid…

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Q: Solve the differential equation: dx dy + x = e-y.sec²y

A: Here we have to solve the differential equation.

Q: Write an equation of the line that satisfies the given conditions. Give the equation (a) in…

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Q: A region bounded by f(x) = 3 − x, y = 0, and x = 0 is shown below. Find the volume of the solid…

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Q: 1-p p#1 u(c) = In c Show that limp-11-p C¹-p Given this result, is u continuous at p=1 ? p=1 = In c

A: Given that,uc=c1-ρ1-ρρ≠1ln cρ=1

Q: The first thing “e” wanted to do is to “Calculuize” his favourite game, apples to apples. So, one…

A: A box for the apples to apples game such that its width is exactly three times its length and its…

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z)=x²y²z²-4 At point (1,-1,2).

A: To find normal line and parallel plane to the function fx, y, z=x2y2z2-4 at point 1, -1, 2.

Q: Recall that an equation of a circle can be written in standard form (x-h)² + (y-k)² = r, where (h,…

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Q: Find the general solution of the given second-order differential equation. 30y" 19y' 5y = 0 -…

A: See the details solution in below

Q: t=sin³x B) [2 sintdt cos(sin 2x)sin 2x dx- A) sintdt D) [ 2 cos tdt →? c) fcos tdt E) fcos 2tdt 4.…

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Q: Graph the linear inequality. 4x-y < 4 CIB Use the graphing tool on the right to graph the…

A: Here we will draw inequality,

Q: f(x)=2x-7 and g(x) = -18 Given (a) Find (fog)(x). (b) Find (gof)(x). (c) Is the operation of…

A: Given :fx=2x-7gx=1x

Q: Consider the integral 11 [™ (22² + 2x + 1) da (a) Find the Riemann sum for this integral using right…

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Q: The graph of the function f on the interval [-4, 4] is shown above. What is the value of f(x)| dx? 5…

A: integration

Q: Let P be the set of points that belong to the shaded region imaginary The set P is (A) open (B)…

A: We can see that the outer boundary is not included in the region. So set is not closed.  We can see…

Q: Use tables to determine if x²+x-12 exists. If it exists state the value of the limit. lim x→+3 x-3

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Q: CHECKPOINT 1.2 Find the sum of the values of 4 + 3i for i = 1, 2,..., 100.

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Q: d²y dx² 2 (2x-3)² Find y = O O d²y dx² d²y dx² d²y dx² O d'y dx² = = = = 12 (2x-3)¹ -12 (2x-3)4 48…

A: Given

Q: Use the definition of the definite integral to evaluate approximation to generate the Riemann sum. 3…

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Q: 4. For the series Σ=1+()", does it converge and if so what does it converge to? * n²

A: We have to check that series 1/2*(2/5)n  where n=1 to infinity. Is convergent or divergent.

Q: Calculate the future value of end- of-month payments of $500 made for 4 years into an investment…

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Q: Find all critical numbers for the function. State whether it leads to a local maximum, a local…

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Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

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Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

Q: The first left-endpoint of any partition of an interval [a, b] is

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Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: The base of a three-dimensional figure is bound by the line X = √y on the interval [0, 4]. Vertical…

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