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Q: Determine the amplitude, period, phase shift, and equation of the midline for y = -3 cos (x --) - 1....

A: Given

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A: Solution is given below..

Q: 10. ((ex-2)2 e 2x + 4 S dx

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Q: cot t dt

A: I=∫ t cot-1t dtu=cot-1t, v=tdu=-1t2+1 dt,  dv=dtIntegration by parts;I=cot-1t ∫t dt -∫ ddt(cot-1t)∫t...

Q: Over 4 years, researchers studied the growth of a fish population and found its growth rate to P'(t)...

A: solution:-p'(t)=10-31+t2+t3     where t∈0, 4∫04p'(t)dt=∫0410-31+t2+t3dt                 =10t-3tan-1t...

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A:

Q: Given the function graphed below, evaluate the definite integrals. 5 -2 -3- -4 | f(x)d# =| f(x)dx to...

A: Given query is to find the indicated integral.

Q: On] and g. Be sure to put a scale on your graphs. 1)f(x) = -2", g(x) = 5-2" 2) f(x) = 3", g(x) = -.3...

A:

Q: Find all vertical and horizontal asymptotes for the function h(x) given below. Write yo answers as l...

A: Here we have to find the equation of all vertical and horizontal asymptotes. The given function is h...

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Q: I[ Tv° dz dy = x dx dy = y? x dx y dy

A:

Q: sin-e)+sec-1(x) tan-1x+tan-1 d Find dx

A:

Q: (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum and minimu...

A: Given: f(x)=x4-2x2+3

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A:

Q: Find the vector component of v = 2i – j + 3k along b = 4i + 4j + 7k and the vector component of v or...

A: To find the vector component of v=2i-j+3k along b=4i+4j+7k and to find the vector component of v ort...

Q: Find a power series representation for the function. (Give your power series representation centered...

A: Use ratio test for checking the interval of convergence .

Q: f(x)=3x^5−10x^3+5, on what intervals is f′′(x)>0? Enter the (disjoint) interval(s) below using 'U' ...

A: Given query is to find the interval where f" is greater than zero.

Q: 0.0161t where A, is the amount of the Aoe A certain radioactive isotope decays according to the form...

A: Given problem:- A certain radioactive isotope decays according to the formula A=A0 e-0.0161t where A...

Q: 14. dr/dt = -2tr, r(0) = ro

A: Given query is to find the solution of the differential equation.

Q: Integrate the function. dx x2+ 8x + 32 A (2x + 8}In]x2+ 8x + 32|+ C B X+4 tan + C 4 sin + C (*+4) X+...

A: First simplify then use the formula of integration and get the final result 

Q: -

A:

Q: In a regular polygon of n sides each interior angle is 144 degree find n

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 2...

A: We have to find the Maclaurin series for the given function                                         ...

Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form ...

A:

Q: 1 Σ (n +2)*¾ n=1

A: Find your answer below 

Q: Question 5 Integrate the function. X +7 dx 2+2x A22 A)In x7 In +C 2)5 x7 In (x*2)5 In (x

A: Given: I=∫x+7x2+2xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 5- 2 -6 -5 2 4 5 -2 -3 -5 -6+ Find the ...

A:

Q: mat ftoydk = hat f(x)dx: 1 Find the 2 a

A:

Q: Consider the image below y = f(x) a b Let a - 5 and b- 6. If the average value of f(z) on the interv...

A: Given query is to find the value of the expression.

Q: Write the sum using sigma notation: 1+2+3+4 + ..+ 97 = B, where n=1 A = B = ||||

A:

Q: f(x ) = x -3 х 2—9

A: Simplify the function then take derivative and draw the graph. 

Q: Let f(x): and calculate V80-x+I f(x) dx by using integration by substitution. What was your substitu...

A:

Q: 1 Question 3 Determine whether the series ) converges or diverges. Be sure to name any test(s) used ...

A: Given problem:-

Q: An open box is formed by cutting identical squares from each corner of a 22 inches by 22 inches shee...

A:  

Q: An employee wants to invest $60,000 in a pension plan. One investment offers 5% compounded semiannua...

A:

Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely o...

A: This is a problem of series calculation. Based on the root test we will determine the nature of seri...

Q: Use the Growth Rates of Sequences Theorem to find the limit of the following sequence or state that ...

A:   The given equation is an=10nn102n. Growth Rates of sequences: If the increasing growth rate of the...

Q: Find the radius of convergence, R, of the series. 00 Σ 4n – 1 n = 1 R = Find the interval, I, of con...

A:

Q: 4. For infants less than 9 months old, the relationship between the rate of growth R (in pounds/mont...

A:

Q: Find the volume beneath the paraboloid z = 25 − x2 − y2 and above the xy-plane

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Q: Find y" if y=3xsinx

A: Given query is to find the double derivative of the expression.

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time pass...

A:

Q: 5. 7.G.2.6 What is the volume of the figure that can be formed by the net below?

A: Given: - The figure is, To find: -The volume of the figure that can be formed by the net below.

Q: Find energy in kJ of a photon. 2=488 nm. The speed of light is 3.00 x 108 m/s and h = 6.63 x 10-34 J...

A: Energy

Q: The given equation is f(x) = 1/2x4 − 4x2 + 3. Pls give the correct graph which corresponds with this...

A: The given function,  f(x)=12x4-4x2+3

Q: y2sinx + y = arctanx, solve for y’

A:

Q: m If f is a probability density function of a continuous random variable x over [a,b], then the medi...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from the point P to the line through A and B using the method given. 

Q: 3. Find the angles between the vectors: u = 2i + j, v = i + 2j – k а. -

A:

Q: Given the expression an = V4n² + 3n – 2n for n > 1 Check whether this is convergent or divergent: an...

A: The given sequence is a an=Sqrt(4n2+3n) -2n.