Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

Q: YOUR TURN 2 Estimate the age of a sample with 1/10 the amount of carbon-14 as a live sample. 2. 18,6...

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Q: The function f(x) sin(3x) has a Maclaurin series. Find the first 4 nonzero terms in the series, that...

A: Maclaurin series is just expansion of function with center zero. Which we xan found easily.

Q: A new car worth $27,000 is depreciating in value by $3,000 per year. After how many years will the c...

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Q: Find the Fourier series of the following waveform: f(t) 2 ... -T -T/2 T/2 T Which is defined as 2t f...

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Q: A- Use the fixed point and Newton-Raphson methods to estimate the root of the function, employing to...

A: We have to find Root of the function by both methods. 

Q: 3. The numerator of a fraction exceeds the denominator by 1. If 7 is added to the numerator and 2 to...

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Q: 2 3 -x´ - 4xy + 3y°; x= - 2, y = - 3 nen x= -2 and y = - 3, -x - 4xy + 3y° is mplify your answer.)

A: Topic:- algebra

Q: ne demand function for a company's product is p = 24e-0.59 where g is measured in thousands of units...

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Q: Question 10 evaluate ſ inx dx A secx - tanx + x + C B secx + tanx - x + C secx + tanx + x + C secx -...

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Q: What integration technique can be used to integrate: sec2 xdx Integration Formulas O Trigonometric S...

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Q: 2. The sum of two numbers is 52. If the ratio of one number increase by 2 to the other number decrea...

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Q: Which of the following functions have a 4th derivative different from itself? ex sin x CoS X

A: In this question, we need to find which of the given functions have a 4th derivative different from ...

Q: Determine whether the sequences are increasing, decreasing, or not monotonic. If increasing, enter /...

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Q: Eight workers are assigned to 8 different jobs. Combination Not Combination

A: Eight workers are assigned to 8 different jobs. We have to determine whether it is combination or no...

Q: (a) Show that the vectors v = and w = 2 are linearly independent. (b) Explain why 3 vectors in R" of...

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Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

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Q: Find F'(x) if F(x)= e^(-x^2) * x^(sin(x^3)) Use logarithmic differentiation

A: topic - logarithmic differentiation

Q: 5. Prove the following identity 1- cos x tan? %3D 1+ cos x

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Q: VT VT "cos(x?)dxdy? What is the reversed order of integration of "y O a. cVT X cos(x²)aydx 0. O b. V...

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Q: Let R be the region bounded by the rose curve, r = 6 cos(60) as shown in the diagram below. Find the...

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Q: Answer the following questions about the function whose derivative is f'(x) = Px-4) x# - 5. x+5 a. W...

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the su...

A: Given problem:- Find the equation for (a) the tangent plane (b) the normal line at the point Po(2,0,...

Q: (2 In sin x)3 15. S tan x

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Q: Factor the trinomial, or state that the trinomial is prime. 7x - 53x + 66 Select the correct choice ...

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Q: A man on a boat is located at point B on the waters, 200 meters from point A on the shoreli Line seg...

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Q: The functions represent the position of a particle traveling along a horizontal line, s(t) = 3t3 − 2...

A: for time t,t≥0 s(t)=3t3-20t2+48 t -20V(t) =dsdt =ddt(3t3-20t2+48 t -20)V(t) = 9 t2-40 t+48v(t)>0 ...

Q: The Maclaurin series of the function f(x) = 6z tan-(9z) %3D can be written as f(2) = Cnz" n=0 where ...

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Q: -1 Evaluate: lim X+0

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Q: x + y + exy = e a) Find dy/dx using implicit differentiation. b) Find the slope of the tangent lin...

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Q: dy 4. ST 81–16y²

A: As per our guidelines we are supposed to answer only one question 

Q: Suppose that (a, } is a monotone sequence such that a, S11 for all n. Must the sequence converge? If...

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Q: Q3) Find the volume of the solid generated by revolving region bounded by the curve (y-e*) & the lin...

A: Integral

Q: Find the radius of convergence and the interval of convergence. Xx' k + 2 k=0 Radius of convergence:...

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Q: Write tEf-1 without sigma notation. 6k

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Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

A: Given w=f(x,y,z) x=g(r,s,t) y=h(r,s,t) z=k(r,s,t)  

Q: Find all functions f : R → R for which f(x + y) − 2f(x − y) + f(x) − 2f(y) = y − 2

A: We are given that f:ℝ→ℝ, which follows: fx+y-2fx-y+fx-2fy=y-2 for all x,y∈ℝ.  

Q: Let 5n + 14n b, = 3n2 a, = 3n-5n2 - 19' Calculate the limit. (Give an exact answer. Use symbolic not...

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Q: The region bounded by f(x) = - 4x2 + 20x + 96, x = 0, and y = 0 is rotated about the y-axis. Find %3...

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Q: A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (1I) 3 dis...

A: Topic:- polynomial

Q: Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = ...

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at ...

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Q: The principal represents an amount of money deposited in a savings account subject to compound inter...

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Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given b...

A: We have to find the focci of an ellipse 

Q: The graph of the equation 2x2 - 5y? + 12x+ 20y+F=0 is either a hyperbola, a point or two intersectin...

A: The graph of the equation, 2x2-5y2+12x+20y+F=0, is either a hyperbola, a point or two intersecting l...

Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 - ...

A: Let's find. 

Q: Prove: 1. tan (A/2) = - cos A 1 + cos A sin A 1+ cos A 2. tan (A/2) = ±

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Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this interv...

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Q: Express what you have learned in this lesson by completing the sentences below. Use a separate paper...

A: To fill the blanks for limits of the function.

Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: 5. Sxcot°(10x²)dx 6. S ( tan (3z) dz cos*(3z)

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