Question 16 3 In?x + 1 Evaluate x (In3x + In x) 1 In lin³x + In x| + C A +x, B In in?x + 1| + C © 3In |in³x + In x| + C D In lin3x + In x| + c

Q: se the Monotone Convergence Theorem to show that the sequence {an} converges, where An = 1 n! r each...

A: Monotone convergence theorem says that if an is bounded and monotonic then it is convergent. 

Q: The graphs show the position s, velocity v = ds/dt, and acceleration a = d?s/dt2 of a body moving al...

A: The graphs show the position s, velocity v=dsdt, and acceleration a=d2sdt2 of a body moving along a ...

Q: Solve the following differential Equations

A: Given differential equation, x2+y2+1dx+xx-2ydy=0x2+y2+1dx+x2-2xydy=0 Formulas used, ddxxn=nxn-1ddxco...

Q: A point P is moving along the curve y = Vx² + 5. When P reaches the point (2, 3), y is increasing at...

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Q: (-1)+16· 13 . 20.(7k – 8) * Use the formula for the binomial series: (1 + x)" = 1+ mx + m(m-1) m(m-1...

A: solution:-1+xm=1+mx+mm-12!x2+ ... mm-1...m-k+1k!xk              1+∑k=1∞ mm-1...m-k+1k!xk         if ...

Q: Alzheimer's Disease As baby boomers enter their golden years, the number of people afflicted with Al...

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Q: Find if y = xsinx – cosx d²y COSX dy Find using implicit differentiation а. уз + у? — 5у — х? %3D — ...

A:

Q: How much money should Lisa invest today into a fund that earns interest at 4.25% compounded quarterl...

A: This question can be solved using present value of ordinary annuity

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 00 k+1 Σ (2k –...

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Q: Find the derivative of the function. h(t) = (t + 5)2/3(2t? - 1)3 h'(t)

A: We will use following formulas to find h'(t) 1.d/dx(xn)= nxn-1 3.d/dx(uv)=U dv/dx +vdu/dx

Q: Find the polynomial with a leading coefficient of either 1 or - 1 and with smallest possible degree ...

A: Draw a schematic diagram of given graph.  

Q: d y Find dr? - for x* + y* =16. Express your answer in fully simplified form.

A: topic - double derivative of a function

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

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) n = 4, c = 4 P(x) =

A: solution:-f(x)=1x2,     n=4,       c=4f'(x)=-2x3f''(x)=6x4f'''(x)=-24x5f4x=120x6

Q: State whether the following series is Convergent or Divergent. (-1)" Vn +1 n=1

A: Absolutely convergent :If the the mod of the alternating series ∑n=1∞(-1)nan i.e., ∑n=1∞|(-1)nan | =...

Q: ne sketch. base 120 130 140 QUESTION 6 Water is scarce in South Africa. The annual average rain fall...

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Q: Find f'(x) for f(x) = (x² +4) sec(x) f'(x) = x^2secx+tanx+4secx tanx+2x secx %3D

A:

Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the ...

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And, ∇×F=ijk∂∂x∂...

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

A: Given

Q: The function S(t) = 800 – 800t gives the shares of stock sold of a new product at year t for t 1. No...

A: Given:    S(t)  = 800 - 800t-1

Q: Solve. 8. 2 бу - 4 %D y +4 y2 - 16 y Select the correct choice below and, if necessary, fill in the ...

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region above the x-...

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Q: Consider dx. Which of the following options is correct? 9+x6 1. lim Arcsin lim Arcsin 6. 6. 3 B none...

A: Given

Q: 14 n+3 n+2, n=1

A:    ∑n=14n+3n+2Compute the sum of an=n+3n+2 for n=1…4=43+54+65+76=9920

Q: Question 13 Consider the integral dx. Using u-substitution, what is the appropriate u and du? 2e 3e2...

A:

Q: Within the interval ( -0.92, 1.69 ), for what value of x does f(x) take on a minimum if f(x) = -3 si...

A: Let's find. 

Q: Within the interval ( -0.92, 1.69 ), for what value of x does f(x) take on a maximum if f(x) = -3 si...

A: solution:-f(x)=-3sin(2.4x)+3.9cos(2.4x),     x∈-0.92, 1.69f'(x)=-32.4cos2.4x-3.92.4sin2.4xfirst deri...

Q: 8

A:

Q: 3 In x + 1 dx x (In x + In x) Evaluate A In lin?x + 1 + c Bn in°x + In x + C ©nlin³x + In x| + c D 3...

A:     ∫3ln2x+1xln3x+lnxdxLet u=ln x.=∫3u2+1u3+uduLet v=u3+u.=∫1vdvSubstituting back we get,=lnln3x+lnx...

Q: Given: / 5x2 tan(3x³) dx. Ifu=3x°, then the resulting integral is Jf(u) A B none of the choices 5 18...

A:

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: topic- logarithmic equations

Q: Use linear approximation to approximate √36.3 as follows Let ?(?) = √x. The equation of the tangent...

A:

Q: each

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

Q: The interest rate on a 30-year, $320,000.00 mortgage is 3.50% compounded semi- annually. Calculate t...

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Q: a. Write the linear system as a matrix equation in the form AX= B. 4 b. Solve the system using the i...

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Q: kt Use the exponential decay model, A= A, e k, to solve the following. The half-life of a certain su...

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Q: Use the formula for the binomial series: (1+x)" = 1+ mx + + ... 21 = 1+ Ein if al < I 1 to obtain th...

A:

Q: dx Given: - 06-2x. Using u-substitution and transforming the integrand, find du. A 14e2xdx B 18e-2xd...

A: Given:  ∫dx7-9e-2x To Find: By using u‐substitution and transforming the integrand, to find du.  

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

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Q: The figure shows f, f', and f". Determine which is which. y 3 -1 -2 2. 1.

A:    We have to apply properties of polynomial to find the correct graphs. 

Q: Question 2 12x +1 dxp. (2x- 1)2 (3x + 2)² Evaluate:

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Q: (a) Any critical point of a function f is either a local maximum or local minimum for f. True False ...

A: As per our guidelines, we are advised to solve only first three sub-parts of the question. Please up...

Q: How much should Lindsey's dad invest into a savings account today, to be able to pay for Lindsey's r...

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

Q: Compute the derivative of the function y using derivative rules. y = (9x + 5)' (Express numbers in e...

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Q: Find the nth Maclaurin polynomial for the function. 3x - 5 (x) = n= 4 x + 1 Pa(x)

A: The given function is; f(x)=(3x-5)/(x+1); n=4.

Q: R,P1 Solve R2P2 for X1 X2 %3D Choose the correct answer below. O B. R,P2X2 O A. R,P1 Xq = RgP2X2 X1 ...

A: We have to solve

Q: An agriculturist wanted to plant seven different organic crops in a small field. To properly study t...

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Q: To evaluate the possibility of using pyramid-shaped vessel, the rate of change of the dimensions wer...

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Q: Complete the table by stating whether the equation is ordinary, partial and linear and non-linear. A...

A: Let's find. 

Q: Solve. V1-3x = 8 Select the correct choice below and, if necessary, fill in the answer box to comple...

A: