erations are required to form the product AB? Please explain clearly.

Q: Evaluate the following integrals. (a) / (sin æ)(tan²r + csc², x) dx

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

Q: The table gives the required standard weight, w, in kilograms, of American soldiers, aged between 21...

A: If we make a graph of given table data then it will give a Linear graph increasing  .a. ) W increase...

Q: 30% of a radioactive substance has decayed after 10years, what is its half-life? 15.9 years 16.7 yea...

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Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

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Q: Cosx Evaluate the Integral dx. sinx 1 + C 3sinx A B) 1 +C sinx - +C 3sinx 1 +C sinx

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

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Q: Question 14 Find the area of the region between the parabola y = 9 - x²and the x-axis. Round your an...

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Q: Find the moment with respect to x = 2a the area bounded by x = 2y and x2 = 4ay. %3D %3D

A: Given area is bounded by x=2y and x2=4ay.  To find: Moment with respect to x=2a.   From x=2y We get ...

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: (x² – 1)*dx

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Q: Which diagram correctly shows [4|? 4 units 4 units + 01 8 units + -4 4 units 4 units

A: To determine which diagram represents |4|

Q: Determine the value of f(3) if f(x)=60 (1-e^-0.1t).

A: Given query is to find the value of f(3).

Q: The vectors (-1, 2, – 1) and (2, –4, 2) are parallel and not orthogonal. True False

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Q: Find the slope of f (x) =e8x-10 at x-1.

A: The function is given by fx = e8x-10 The point is  x = x0 = 1 Formula: The formula to evaluate the s...

Q: Find the area of the region between the parabola y = 9 - x² and the x-axis. Round your answer to thr...

A: We can find the area as follows:

Q: What is the derivative of the function f(x)=1/x+1 at x=1?

A: To find out the derivative of the function at x=1 

Q: dy Use logarithmic differentiation to find given that dx c-'(yT) y = 4sech(5z) (log6 x)=`

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Q: 4x³ (log3 x)" (csc5 x) Vsinh(2x – 8) b. y =

A: We differentiate the given function using quotient rule of Differentiation i . e .  If   y ( x  ) = ...

Q: Find the area of the region bounded by y cos x, y = 1, and x =

A: Given curves are  y=cosx ,y=1 and x=π/2

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. xe 401x dx ...

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Q: 13. Differentiate 1 3 y = 2x2 + 6x3 – 2x2 а. 2 6 b. у 3 —t 4 3 x2 3 x4 x2 'x3 y = sin³ [cos(tan(3x –...

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Q: Find the volume of the solid generated by revolving the region bounded by y = 3x, y = 0, and x= 2 ab...

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Q: Obtain a family of solutions for the following First-Order Differential Equations. 2(2x2 + 2y2 )dx –...

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Q: 1/V3 dx 1+4x2

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Q: dt 10 A 3 +t+c B) 128+금2. 8t + - t2 D +C + 20

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Q: 1 dx = Blank 1 1+ 8x Evaluate the Definite Integral

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Q: 4 dx 1– cos(4x)

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Q: Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictl...

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Q: lim In (xth)-Incn) X-DO

A: Topic = Limits

Q: sin°(x)cos*(x)dx 2, 4

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Q: Evaluate 区

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

Q: Write the function whose graph is the graph of y = x +1, but is reflected about the y-axis. y = (Sim...

A: The given function,     y=x+1

Q: 2х dx 1. "I x- 2)²(x + 2)

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Q: Find ALL extremum of the function g(x) = xV4 – x (-00, 4]. Use both the derivative and on then Desmo...

A: To find out the extremum of the function. 

Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y2 – 2y = 0 ...

A: The given curves are: x2+y2-2y=0 y=2-x

Q: Let fit)=F(t), where F(t) = 412- 5t + 5t Evaluate the following integral using the Fundamental Theor...

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Q: 22) In Problems 22 through 24, given an Implicit Equation 2x3+3y2= 6 sin y + 16 , find y'=, A) -2X/(...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: ,5x-2 If f(x) = 2 + e%r-2 %3D then f-'(3) = %3D

A: Topic = Functions

Q: Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the ...

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Q: Evaluate the integral

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Q: 2/3 over the interval sxs about the x-axis. Find the volume of the solid generated by revolving the ...

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Q: 1. Solve the length of the indicated sides using Figure 1. a. LA= b. AY= c. OT= 2x + 2 3x 5х — 10 L ...

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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

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Q: 3. f(x) = x² + x

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Q: P(x)= x^3-2x-4 a) factor P into linear and irreducible quadratic factors with real coefficients  b...

A: Here, the given polynomial is: P(x)=x3-2x-4

Q: (3x² + 1 +) dx 2х2

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Q: Identify the method applicable and evaluate the integral using the identified method: adx 5. S - (a+...

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Q: Evaluate the Definite Integral sin'y dy = Blank 1 Note, the answers should be three decimal places o...

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Q: Find the area between the curves y = x² + 1 and y = x + 1.

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A: This question is based on indefinite integral using partial fraction.