4. f(x) = (Vx)(x² – 2x) %3D -

Q: Solve 3 5 |1 1| + 2 1 +|-8| 4 12 1 ol

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Q: One of the following is an improper integral. Determine which one it is then evaluate it. What is th...

A: We have to first find improper Integral then we have to evaluate it.

Q: Given F(s) = L(f), f(t), a, b, L, n are constants. Show the solution. 12 228 1) s4 $6 2) L²s²+n²n²

A: find inverse laplace transform ?

Q: Evaluate the integral cot 2x /cot² 2x – 15 csc 2x +C 4 1 -Arcsec (B -Arcsec csc 2x +C 4 1 Arcsec 2/1...

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Q: A paint store sells 270 pails of paint per month at a price of $32 each. A customer survey indicates...

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Q: Evaluate the integral tan 4x S- Vtan? 4x – 24 In/tan 4x + /tan² 4x – 24| +C O 1 sec 4x +C Arcsec 5 O...

A:     14lntan4x+tan24x-24+C' =14lntan4x+tan24x-24' +C' =sec24xtan24x-24+0=sec24xtan24x-24 So, the firs...

Q: (x² + y²)dx – xydy = 0 -

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Q: Calculate (1+ cos(y²))dA,where D is the triangular region with vertices(0, 0). (–2 - Vĩ,2· VT) e (0,...

A: Given problem:-

Q: 19-22 Use a triple integral to find the volume of the given solid 22. The solid enclosed by the cyli...

A: Given cylinder is x2+z2=4 and the plane is y=-1 and y+z=4 So,  y→-1 to 4-z z→-4-x2 to 4-x2 And x→-2 ...

Q: Find the equation of circle and the equation of line from the following graph (3. -4)

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Q: z8 – 6z° + 4z° – 2 -dz z*

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Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: 1. One of the following is an improper integral CA In 3 cIn 2 dx xp 4 – ex 2x + 1 JIn 0.5 ' In 2 dx ...

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

Q: Determine h(t) given that h'(t) =t* –t° +t² +t-1.

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Q: f(x) = { * ах 2 + ах —4, х> 2

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Q: dx The integral | can be rewritten as V1. - X (a) lim (-2+2v1 – s) (b) lim (-1+2v1 – s) S--00 S--00 ...

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Q: Suppose that the sum of the three vectors u, v, and w shown in the figure is the zero vector. If w-2...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+ x CO f(x) = 1 + -x...

A: From binomial theorem we know, 1+xn=1+nx+n(n-1)2!x2+n(n-1)(n-2)3!x3+....

Q: Find the radius of convergence and the interval of convergence. El-1)«(# + 2)2*+1 k2 + 4 A=1 Radius ...

A: Given series ∑k=1∞(-1)k(x+2)2k+1k2+4 want to find radius of convergence and interval of convergence 

Q: 6. The number x, 2x + 7, 10x - 7 forms a Geometric Progression. Find the value of x A. 5 B. 6 C. ...

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Q: O A) (-1, 1) B) (-o, - 2) U (0, 2) O C) (0, co) O D) (-o, 0)

A: A function f(x) is decreasing on [a,b] if the graph f'(x) is moving downwards on [a,b]

Q: Ind the Fadlus of convergence of the power series. (If you need to use ∞ or -o, enter INFINITY or –I...

A: Given query is to find radius of convergence.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. x) C...

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Q: f(x) = 3x? + 8 x = 5 21 6 30 -5 2 | f(x) = x³ – 2x² * = 2 3 f(x) = -x? + 3x + 9 15 4 2 3 *= -6 | f(x...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: The Pauli Exclusion Principle tells us that no two electrons in an atom can have the same four quant...

A: Please see the below picture for solution. 

Q: Find dydx for y=ln2x3−x2

A: This question is based on derivative.

Q: Find the Taylor polynomials of orders n = 0. 1, 2, 3. and 4 about ® = 2o and then find the nth Taylo...

A: In this question we have to solve the given statement.

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

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Q: An object is dropped from a tower, 576 ft above the ground. The object's height above ground t secon...

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Q: dx du 3. The integral reduces to k=, where u = f(x) and for some +1 constant k . Compute f(1). (a) (...

A: Given :∫dxex+1

Q: Find the nth Maclaurin polynomial for the function. 5x - 1 f(x) = n = 4 %3D x + 1 19 Pa(X) = %3D Nee...

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Q: 5. Consider the function below. Is g continuous on (0,1]? on (4,1)? Why or why not? if x 4.

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Q: I have 1 yard piece of fabric with 45 inches width. I am planning to make hand towels out of it. If ...

A: Measurement

Q: dz 4z+z' ,2

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

A: According to question,Given differential equation,y4x + y  dx -2x2 -y dy = 0

Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx -0....

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Q: Solve the differential equation with appropriate method. Finalize answer free of fractions and equat...

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Q: 6) A function y =e-2x is defined numerically for some data range x. It can be entered using: (а) у -...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Evaluate the integral ex 2e-2x - 3e2x | Arcsin V6e2x 2 A V3 +C ®Arcsin l V3e2x +C B © 2/2e-2x - 3e2x...

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Q: Evaluate the integral dx 2x리x-3월 x2 1 3 + V2x In A + C 2/3"3 - V2 | ® In(2x x - 3{x²) +c 1 In + C 2/...

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Q: Find the directional derivative OF the Function in the divection U = Cos e it Sin e i OF the unit ve...

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Q: Evaluate the integral [/4x4 – 12x² +7 xdx (2x2 – 3)/4x4 – 12x² +7 – 2ln|2x2 /4x4 – 12x² + 7|} + c -3...

A: Given that, The integral is following, I = ∫4x4-12x2+7xdx We have to solve this integral.

Q: solution

A: We have to find the derivative of the given function using the rule of derivative

Q: dw In each of the following, find dr and ds using the Chain Rule. 1. w = xy + yz+2z; x =r+s+t; y =rs...

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Q: () dix + (") dy = 0 (x3 x³+y3• (**) dy = 0

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Q: Normalize the vectors complete solution Normalize the vector j = (1, -2, 5, 0, -1) Normalize the vec...

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Q: 1I. Create a table of values for the function and use the result o estimate the limit. You are allow...

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Q: Some scientists believe that the average temperature of the world has been rising steadily. The aver...

A: We have to find slope and T - imtercept And T (surface temperature in 2050) 

Q: 14. If we let u = 4x – 1 for the (2tan(4x-1)-3 cos“(4x=1) dx. what will be the cos(4x-1) resulting f...

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