Use the trapezoidal rule with n = 8 to approximate %3D cos(x) Keep at least 2 decimal places accuracy in vour final answer

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x+ In|x² + 1| + C - x cot-1...

A: Given problem:- Using integration by parts solve 2∫ cot-1(x) dx 

Q: Show that lim Vn = 1. n-00

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Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

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Q: Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: Using tabular integration, the integral St"(-2x² + 4x) cos(2x) dx equals: 3Tt 2 – 2 - -1+ 2 the abov...

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Q: Verify that the given function u is harmonic in an appropriate domain D. Find v(x, y), the harmonic ...

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Q: х3+3x-4 x2 с 1 x² + 3 In x + 4x + C 3 A -x² + 3 In x – 4x + C 3 - 1 x² + 3 In x + 4x + C -x2 + 3 In ...

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (4) dx +C

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Q: Using Reciprocal Substitution * For S Option 1 Option 2 - (1 - 4t) + c

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Q: By completing the square, dx the integral S equals: 2x2+8x+10 tan-1(x + 2) + C : tan-1(x – 2) + C th...

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Q: I need someone to check my 1,2,3 and then I need help with the bottom two questions.

A: (6) (i) Here your first two examples are right. For the third example do it as:   Assume a three di...

Q: - Credit Card Delinquency Rate The credit card delinquency rate stood at 5.7% at the beginning of 20...

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Q: dx 2. Algebraic Substiution

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Q: Question 22 What is the second derivative of a function y = 5x³ + 2x + 1? (А) 25x (в) 30х c) 18 D) 3...

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Q: Solve the following First Order Differential Equation: + 2y = 1 dr

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Q: g) The integral S tan(vx) dx x cos2 (Vx)

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: DO NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: If f (x) does not approach 3 as a → 4 then f (4) 3. For those who have trouble viewing the Mathemati...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

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Q: Find the absolute maximum and absolute minimum values of the function f(x)=x^3-6x^2-63x+10 A. on i...

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Q: Question 21 Evaluate the first derivative of the implicit function: 4x2 + 2xy + y² = 0 4x +y (A x +y...

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Q: Find the area of the triangle with vertices P(1,6, –3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the era...

A: As we know that; The expression for the area of the triangle PQR is; A=12PQ→×PR→   Given: OP→=1,6,-3...

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: The derivative of the function y = cot¬1(cscx) is: is: cSc X cot x y' csc x cot x y' csc²x+1 csc?x+1...

A: Find the derivative of the function

Q: In exercises 1-23 solve the given differential equations: dy 1. = sin 5x %3D dx 2. etdy dx = 2x dy 3...

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Q: Question 14 Find d-Y/dx? at the given point without eliminating the parameter. *=0+cos® and y= 1+ si...

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Q: Let u, v and w be vectors in Cn . Clearly prove that (u + v) · w = u · w + v · w.

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Q: Current Attempt in Progress Use cylindrical shells to find the volume of the solid generated when th...

A: Here, the region is bounded by the curves y=3x-14,y=-3x+4,x=4 is as shown:

Q: Using an appropriate substitution, eXsec²(e*) the integral S dx equals: e-tan(e*) - Inle – tan(e*)I+...

A: This question is based on indefinite integral.

Q: Find the total area enclosed between y = x and y = x over the interval [-1, 8]. NOTE: Enter the exac...

A: This question is based on application of integration.

Q: Evaluate the integral. 922-100x-100 2-100x dr = +C NOTE: Enter the eract answer.

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Q: (y-Vx² +y² )dx – xdy = 0 Solve When: x= 0, y =1

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Q: 2x + 8, x 8 (i) f(8)= (ii) lim f(r)= (iii) lim f(x)= I 18+ (iv) Justification Answer=

A: To find out the f(8), left hand limit, right hand limit, and also justify the answer. 

Q: nsider the parallelepiped with adjacent edges u = 6i + 7j +k v = i+j+5k w = i+ 7j + 9k d the volume.

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Q: 4. 2(x + 4) = - 4 5. -3( x + 4) = 15 6. 4(2х + 3) + х%3D69 7. 2x + 3x + 6 = 31

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and = 2j + 3k as adjacent sides. NOTE: En...

A: We will find the area of the given parallelogram in the following step.

Q: find eigen value of matrix A -2 A = 2. -4 2.

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Q: 2- 3x +8 2-X2C

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Q: cos Vi Find the laplace transform of (i).

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

Q: 4. A certain travel agency offered a tour that will cost each person 1,500 pesos if the participants...

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Q: Consider the parallelepiped with adjacent edges u = 9i + 6j + k v = i+j+7k w = i+ 6j + 6k Find the v...

A: The given equations are,  u=9i+6j+k v=i+j+7k w=i+6j+6k.

Q: Determine if the given function is continuous at a given value of x.

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

Q: -20 Evaluate the integral: x2 Vx2 + 64 (A) Which trig substitution is correct for this integral? O x...

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Q: 17. If y = tx, where t is the parameter, what are the parametric equations of the curve x' + y' = 8?...

A: solution:-y=txx3+y3=8x3+tx3=8x31+t3=8x3=81+t3x=21+t33

Q: At which point/s does the graph of y = r+9 have a horizontal tangent line? Write the point/s in the ...

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Q: for power substitution method, next step is * 2+E dz 6 – 5(u²)2 + u² , -(2udu) 4 – u² r6 – 5u² + u² ...

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Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the abo...

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: Clategrade)- dv ノンコォス

A: ∫dvv2+cv+1

Q: For the demand function q= D(p)3D226-p, find the following. a) The elasticity b) The elasticity at p...

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