Question 7 If the solution to Je2x sec²(e2x*1)dx is equal to ktan (e2x+1) + C, find the exact value of k.

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A: We know that the Taylor series is given byf(x)=∑n=0∞fn(c)n!(x-c)nHere we need to find the Taylor ser...

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

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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: 8*+2 11k–1 k=1 The series diverges ||

A: Given problem:-       To find:- Given series divergent or convergent and find its sum

Q: Given the differential equation y" – 2xy' + 5y = 0. Determine the first three nonzero terms in each ...

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Q: dx du Sk , where u= f(x), and for some constant, k. Compute. f(2). The integral reduces to ex +1 e +...

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Q: Watch the video on partial fractions decomposition with a repeated quadratic factor before answering...

A: Given,1x2+3x2+221x2+22x2+3=Ax+Bx2+3+Cx+Dx2+2+Ex+Fx2+221x2+22x2+3=(Ax+B)x2+22(x2+3)x2+22+Cx+Dx2+3(x2+...

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

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

A: The given differential equation is;. t2s"+ts'=4-3sint.

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: f(x) = x - 5x^1/5   A) Find all critical values of f  Critical values = ____  B) Use interval no...

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

Q: For what value of x does f(x) take on a minimum if f(x) = V 3 x² -2 What is the minimum value of f(x...

A: Given that fx=3x2-2x+4Solution :if we have to find minimum value of function then f'x=0 and solve . ...

Q: A loan, amortized over 5 years, is repaid by making payments of $1,900 at the end of every month. If...

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Q: dx Given: 7-ge-2x. Using u-substitution and transforming the integrand, find du. A 18e-2xdx B - 18e-...

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

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Q: cylindrical can is to have volume 1500 cubic centimeters. Determine the radius and the height which ...

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Q: 2) A farmer wanted to plant six different crops in a rectangular field. To protect it from animals t...

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Q: /4x+ – 12x² +7 xdx . Evaluate the integral A) -(4x4 – 12r²+7)/2 +c 24 © ! (21--3)/- 121+7 – 2 m 21--...

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Q: Jasmine received a $38,000 loan from a bank that was charging interest at 4.50% compounded semi-annu...

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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: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 2 3 4 5 P5(x) = 1-x+ 6 24 120 ...

A: Note that, the function ex is: ex=1+x+x22!+x33!+x44!+x55!+...⇒e-x=1+(-x)+(-x)22!+(-x)33!+(-x)44!+(-x...

Q: se any method to determine whether the series converges or diverges. (k !)6 Σ (6k)! k=0 O The series...

A: Given query is to find series converges or diverges.

Q: Solve. Vx+2 +5 = 0 ... Select the correct choice below and, if necessary, fill in the answer box to ...

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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: Diana invested $1,175 at the end of every month into an investment fund that was earning interest at...

A: This question can be solved using future value of ordinary annuity for the first 8 years and then ap...

Q: For each problem below: a) Determine the indefinite integral (do not include the "+c" and do not inc...

A: a. ∫4sinx+7cosxdx=4-cosx+7sinx=-4cosx+7sinx

Q: Find the dimensions of a rectangle with perimeter 1000 meters so that the area of the rectangle is a...

A: topic- application of derivatives

Q: A cylinder is inscribed in a cone as shown in the figure. The radius of the cone is 3 inches and the...

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Q: (b) lim log1 r+2+ (x – 2)? sin(2x2 – 3x – 2),

A: solution:-limx→2+ log13x-22sin2x2-3x-2=limx→2+ -log3x-22sin2x2-3x-2=limx→2+ log3sin2x2-3x-2x-22=limx...

Q: Find the radius of convergence and the interval of convergence. 00 k(k + 1) k=1 1) First apply the R...

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Q: Question 7 dx 7-9e-2x Using u-substitution and transforming the integrand, find du. Given: A 14e2xdx...

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Q: Use sigma notation to write the Taylor series about z = 1, for the function. 3 In z; z0 = 1 k =

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Q: the given point is on a curve find the line that a. tangent and b. normal to the curve at the given ...

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Q: B. For the function g(x) = 2 | x-4 | 8 7 6 5 3 2 1 5 6. 7 8 X 8 2 |x-4| dx (X)4

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Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: Consider the following sequence: +00 4" {a,} = an+1 to show that the given sequence {a,} is strictly...

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Q: Falco Inc. financed the purchase of a machine with a loan at 2.03% compounded semi- annually. This l...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n= 5 Ps(x) = ||

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

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Q: Solve the differential equation below: (D^2-1)y=e^-2x sin^e-x

A: Solve the differential equation below:   (D2 -1)y=e-2x sine-x

Q: Question 14 3r dx be given. If u=e+2, then the resulting integral is ex+2 du. Compute f (3). Let A n...

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Q: b. Recall that f(x) = 2*-1-1. Graph of fi(x) = f(-x) + 2, f2(x) = f(-x+1) + 1, and fs(x) = f,(x) + f...

A: The given function,          fx=2x-1-1

Q: Express the following as the logarithm of a single quantity. log 74 + log 716 Choose the correct ans...

A: The given logarthim expression,   log745+log716

Q: - 4 ( 6*) ) dx ( 7 ex - 4 ( 6*) ) dx a) b) Submit Answer Tries 0/8

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

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Q: Find the relative extreme points of the function, if they exist Then sketch a graph of the function....

A: Given that fx=-3-x23Solution :if f'x  +ve to -ve then maxima occurs .if f'x  -ve to +ve then minima ...

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: This problem is about evaluating the integral V2/2 1 dx - x2)3/2 (1 – To start, one would make a sui...

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Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x 1 f(x) = 1 +-...

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