Using Simpson's method ²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper rounding off, no spaces)

Q: A given partial fraction B can be evaluated as: A) 7/35 B) 8/85 6/23 D) 13/85 2x (x-1)(x+4) (x²+1) A…

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Q: (b) Find the points on the given curve where the tangent line is horizontal or vertical. r = 1 + cos…

A: We are given a curve in its polar form  r= 1+cosθ We have to find points on the curve at which…

Q: Evaluate the following definite integral using substitution rule. 1. (2x - 1)² dx 2. fx √x² + 1 dx

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Q: -1 (a) cos (b) log5 (25) -√√3 2

A: Solved below.

Q: FCILICI B. Find the general solution of the following 2nd order differential equation: y +2y + 2y =…

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Q: -1 2 (x² +1) dx

A: To evaluate: ∫x6-1x2+1dx Let I = ∫x6-1x2+1dx Using polynomial division we get  I = ∫x4-x2+1-2x2+1dx

Q: D. Diego walks at the rate of 5 ft per second toward a street light whose lamp is 20 ft above the…

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Q: 8. y = x ¹ Arctan 4(x4)

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Q: (D² + 3D + 2)y= sin ex

A: The given differential equation is  (D2+3D+2)y=sinex

Q: 9. y = 3 Arcsec 3x

A: On solving this we will get

Q: valuate f¹² Vsin x + 1 cos x dx.

A: Topic:- application of integration

Q: The graph of f is given. y 3 * X -4 2 (b) What are the domain and range of f−1? (Enter your answers…

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Q: dy dx + y = 2xy-ex

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Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: What is the particular solution of the differential equation (x+y) dx + (x - y) dy = 0 when x = 0…

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Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: What is the mass in both (a) slugs and (b) kilograms of a 4390-lb car? Answers: (a) m = slugs (b) m…

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Q: 7. Find the points on the curve y ve y = -x where the tangent line is parallel to the line y=

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) = - g(x) 101 8- 2 0 -2 2 (a) Find p'(9). p'(9) =…

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Q: Solve the D.E XỲ+Y=- 1 y2

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Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative

Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t…

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Q: y'= tan(x+y) - 1

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Q: A conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft…

A: Let's find total work(W).

Q: Find the altitude of a rectangular closed box with volume 100 cubic inches with length twice the…

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Q: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -2q + 890, what profit can the…

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Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: f(4)(x) an f(³)(x) = √√√x, f(4) (x) 6 7(6√x) X

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Q: cln x e L L ² L the we Evaluate yez dz dx dy.

A: Given problem:-

Q: Suppose that the bacteria in a colony can grow unchecked. If the colony bacteria starts with 2…

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Q: a problem of physical  phenomena that can be solved as differential equation using Euler method.

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Q: 14) lim

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Q: What integration technique can be used to integrate: (A) Integration Formulas (B) Integration By…

A: Option (d)

Q: Question Find the volume of the solid whose base is a triangle with vertices (0, 0), (0,4), and (3,…

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Q: Question 32 What integration technique can be used to integrate: A Trigonometric Substitution B)…

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Q: ind A or each of the following intervals, tell whether f(x) is increasing or decreasing. -∞o, A):…

A: Topic:- calculus

Q: In Exercises 1 and 2, compute the solution of the given IVP. 1. d²y dt2 +9y2 cos(3), 2 cos(3t),…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: iv) in complex number z³. (z)² = |z|².z

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Q: 3. 4. If =(-12, 4, 8) the position vector of u is.............

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Q: ог Question A.) Does this CONVERGE • DIVERGE ? (~) ² M nal

A: To determine whether the given series converges or diverges.∑n=1∞ln n2n

Q: - S(2 + 5x) es dx

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Q: (D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

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Q: Find the general solution of the following 2nd order differential equation: y* +2y + 2y = 0

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Q: SINE LAW * A civil engineer desires to measure the height of a tower observing a vertical angle at…

A: We need to use sine law.

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

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Q: 4. y = = csc 1+2x) cot(1-2x)

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Q: The current population of a small town is 3947 people. It is believed that town's population is…

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Q: The value V of a machine t years after it is purchased is inversely proportional to the square root…

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Q: 1. Evaluate the integral using atrial fractions method: 3x² -dx (x − 1)(x² + x +1)

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