Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

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: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We find out the Taylor series of e5x at c=0. Follow 2nd step.

Q: Which of the following are the first four non-zero terms of the Maclaurin series for f (x) = sin(x) ...

A: the given function f(x)=sinx2

Q: Evaluate the integral. x² + x + 1 dx Jo (x + 1) (x + 2)

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Q: The differential equation x*(x – 2)²y" + 3(x – 2)y' + y = 0, as the singular points at x = 0 and x =...

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Q: Use the difference a41 - a, to show that the given sequence (a,] is strictly increasing or strictly ...

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Q: 1 and b, = n2 Let a, = A- 2 Calculate the following limit. an lim bn (Give an exacanswer. Use symbol...

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Q: 2 10 10 dx x5 x5

A: Given, a ∫2x+10x5dx b ∫122x+10x5dx We have to solve for parts (a) and (b).  

Q: f(x)= (x-2)/(x^2-x+1)^2 (a.) the critical numbers of f (b.) all relative extrema of f (c.) the inte...

A: To find (a.) the critical numbers of f(b.) all relative extrema of f(c.) the intervals on which f is...

Q: When the numerator has a higher degree than the denominator, we have to start with long division. Af...

A: It will be covered in step 2.

Q: Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly dec...

A: The given sequence is; {an} = n/(3n-2).

Q: Situation 3: Find the area enclosed by the graph of the curve x^2+8y^2+16 = 0, the x-axis, the y-axi...

A: according to our guidelines we can answer only three subparts, or rest can be reposted.

Q: Zul v2 2vl du anr v/ v2 co 2x

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Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If glu) = , evalua...

A: Given  g(u) = u+1u and  ∫f(x) dx = x + lnx-1 + C

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

A: This question can be solved by using rate of change of physical quantities.

Q: Please see the attached image to see the given. thank you  (a.) the critical numbers of f (b.) all ...

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Q: Evaluate lim (r+ 2) cot(²+5x+ 6). 2+-2+

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Q: DA farmer wanted to plant six different crops in a rectangular field. To protect it from animals tha...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)*+'k! Σ (2...

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Q: Find all points c satisfying the conclusion of the MVT for the function f(x) = 8x ln(x) + 9 and inte...

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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: tan (In |4x²|) (In |(2x)^|)|+C. what is b? The integral of -dx is b In cos

A: Given: ∫tanln4x2xdx Integrate the equation we get, Consider, u=ln4x2 du=2xdx Substitute in integral ...

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: How much should Chad have in a savings account that is earning 2.75% compounded monthly, if she plan...

A: According to the problem, we have

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: Evaluate the integral 4x4- 12x2 +7 xdx.

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Q: Does the following power series converge for all real values of x? (-1)"x" n n=1 It converges for al...

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Q: A company financed the purchase of a machine with a loan at 2.75% compounded quarterly. This loan wo...

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Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the...

A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first quest...

Q: Kelsey deposited $1,100 at the end of every month into an RRSP for 8 years. The interest rate earned...

A: The accumulated value of the RRSP at the end of 8 years is 127353.74 (rounded to nearest cent)

Q: Use the limit comparison test to determine whether the series converges. 7h +5 The series converges ...

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Q: 1. Consider the relation R1: R R2 such that (r1, y1)R1 (x2, y2) if and only if both points are on th...

A: We are given a relation  R1: R2  -> R2  such that any (r1, y1) , ( x2, y2) ∈ R2 are related to ea...

Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

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Q: State whether the following series is Convergent or Divergent. n=1 O Convergent O Divergent iM:

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Q: 5. Find the area of the region enclosed by one loop of the curve: r= 4cos(3Ø)

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Q: The sequence

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Q: Find the area of the shaded region in the figure. (Round your answer to two decimal places.) 120 ° 8

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Q: dx The integral can be re-written as. VI- A lim (-2+ V1- m) m-- 00 B none of the choices lim (2-2 V1...

A: ∫-∞0 dx1-x  

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 slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

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A: Given problem:- Find the distance from the plane to the origin. The plane has A(1,1,0) B (-1,0,1) an...

Q: 5x² tan( 3x³) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find . 5/2 A 18 5/2 18 5 18 D ...

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Q: Given: V5x-3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicable? ...

A: Given  ∫5x2-3 x dx

Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

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Q: Question 15 Evaluate the integral V4x 4x4 12x2 +7 xdx. (4x* – 12r?+7) /2 +C 24 B(2x-3)/4x4- 12x2+7 +...

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

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Q: Graph the Parabola. Given: Vertex at (4, -5) and Focus at (4-1)

A: (x-h)2=4p(y-k) , Vertical parabola.Vertex - (h,k)Focus - (h,k+p)

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 6 Pa(x) =

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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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