Approximate the integral to three decimal places using the indicated rule. 308 -dx; trapezoidal rule; n=6 1+x³

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y, z) = 2x + 2...

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Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: Given the combined differential operators for a given differential equation (D + 7)³ (D – 2)(D + 1) ...

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Q: A spherical balloon is inflated with air flowing at a rate of 15 cm/s. How fast is the radius of the...

A: The formula to calculate the Volume of the balloon is:              V=43πr3 where r is the radius of...

Q: k! 1. ΣΡ =0 104k

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Q: In a town of 100 residents, 85 of the residents speak Tagalog, 40 speak Chavacano, and 20 speak lloc...

A: As per our guidelines we are allowed to solve only first three subparts. kindly repost others. Given...

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost othe...

Q: Find the divergence of the vector field V(x, y, z) = –5e*"i – e'0xyj + 4e®y=k. (Give an exact answer...

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Q: Calculate the definite integral. 4xy Vx2 + y2 dy Calculate the iterated integral. (1 (1

A: Here we have to calculate ∫014xyx2+y2dy

Q: Use appropriate Lagrange interpolating polynomial for the following table and approximate f(1.5) Xi ...

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Q: solve the following second-order differential equation. Make sure your solution set does not repeat ...

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Q: dy - y = xy2 dx

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

A: Given; A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec.

Q: a*dy= +C Ina A True (B) False

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Q: For the following function, find appropriate function g(x) of fixed point method: f (x) = xe* – 1 -

A: g(x)=

Q: 4. Find the volume V of the solid obtained by rotating the region bounded by the given curves y = Vx...

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Q: Given the differential equation t2y" + ty' - 12y = 0 Determine the Characteristic Equation for the d...

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Q: Evaluate; In (sin²s ) sin2xdx sinx +C 3 A sin?x B) +C sin

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Q: 1 7. lim 3x8 (x5+ (2х-3)3 х-+00

A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8    

Q: For the function ?(?) = 1/4e^x+e^-x 1. Set up the integral for the length of the curve segment along...

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Q: Q3. Find out values of a, b, c for which curl of vector V is zero, where V = (2xy+ 3 yz) i +(x² + ax...

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Q: Compute T2(x) at x = 1 for y = e" and use a calculator to compute the error |eª – T2(x)| at x = -1.5...

A: Find your answer below 

Q: Given the demand function D(p) = 125 – 4p?, Find the Elasticity of Demand at a price of $1 At this p...

A: topic - derivative of a function 

Q: Find the arc length of the curve x -3y3/2 from y = 0 to y = 10. Length

A: Integration √1+(f'(y)) 2dy

Q: TRUE or FALSE. Type in "1" if TRUE, type in "2" if otherwise. | f(x)dæ = F(x) implies that d [F(x)] ...

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Q: Let F = (3x, 3y, 6z). Calculate div(F) and curl(F). (Use symbolic notation and fractions where neede...

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Q: a eしの-cosょ)=(xtSinle) dx X+8inle 4. Consider a cone-shaped tank that is 4 feet tall and whose rim is...

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Q: At what point is the tangent line to the curve y = 6x² perpendicular to the line x + 2y – 8 = 0? NOT...

A: Follow next step

Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

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Q: 3.) Construct a truth table for the compound statement. a) pA (p-q) b) (q - -p) A-q T. T. F F c) Are...

A: The detailed solution is given below Thank you 

Q: While taking a walk along the road where you live, you accidentally drop your glove, but you don't k...

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Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per y...

A: Given problem:- The population of the world in 2015 was 9.75 billion people and was growing at a rat...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: The sine-integral function, shown below, is one of the many functions in engineering whose formulas ...

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Q: Given the general solution to a differential equation and its initial conditions y(x) = C, e + C, e-...

A: Answer and explanation is given below...

Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² (a) The sale of how man...

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Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos(x'y)j. (Give an exact...

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Q: Solve the absolute value |x/-5+9|=8 then x=

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Q: Integration using Partial Fraction! dx X(x²

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Q: A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 40,000...

A: We have to find the distance between the plane and the base of the arch and the distance between a p...

Q: The sum of the bases and altitude of a trapezoid is 36 inches and the base is 6 inches longer than t...

A: We need to find dimensions of trapezoid.

Q: en k%3D1 00

A: We will use Cauchy root test 

Q: tan(tan 3x)dx cos? 3xl

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Q: |(9 cos(9 x) +4 sin(4 x))dx =sin(9x)-cos(4x) +c Select one: True O False

A: topic- indefinite integral

Q: Calculate the Taylor polynomials T;(x) and T3(x) centered at a = 8 for f(x) = In(x + 1).

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Q: dx 1+ x2/3

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Q: range of the function. (a) If f(x) = 3x + 4, find the image of 4. (b) If f(x) = 7x + 5, find the ima...

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Q: function f(x, y) = 7x – 8y + 2xy – x² + y³

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Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: Given the differential equation dy „4x + 3y dx Separate the Variables, and then find the General Sol...

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