х — 2 1. f(x) (2? — х + 1)2

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

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: 2x² + 3x +3 dx (x + 1)

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Q: 5. y( 8x -9y) dx + 2x(x-3y) dy = 0 ans. x'y(2x-3y) = C #5 by another mmethod

A: According to our guideline we can only answer first question and rest can be reposted.

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

A: We have to find value of f(x)

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: DIfterenti are (뉴) de Ipx tan x -In DIfterentiate exy te Yy 1, tnd y"

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

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

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Q: Watch the video on partial fractions with a repeated irreducible quadratic factor e and thevideo on ...

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Q: is the sequence divergent convergent? {vñ - v n +1}

A: Topic:- sequence and series

Q: nt) Detemine coefficients a and b such that p(x) x + ax +b satisfies p(1) = 0 and p(1) = -4. %3D %3D...

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Q: A loan, amortized over 5 years, is repaid by making payments of $600 at the end of every month. If t...

A: Loan payment formula: P=PMT[1-(1+rn)-ntrn] where,p=principaPMT=payment r=APR t=number of year n=numb...

Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3/x - 2x 3 (A) u...

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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: dx The integral k, where u= f(x) and for some constant, k. Compute 2). reduces to ex + 1 A е - 1 B n...

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Q: cot (2x) Evaluate the integral - * xp- V cor (2x) - 15 csc (2x) (A) -Arcsec +C 4 (B -- In cot (2x) +...

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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: O Assume f(x) is a continuous function on [a, b]. Then for a < x < b, f(t) dt = f(x) dx O Assume f(x...

A: solution ) option first  d/dx∫xaf(t) =f(x) d/dx ∫axf(t) =-f(x) not a fundamental property fundamenta...

Q: Question 7 Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 2e...

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Q: Using u-substitution, the integral f(x)dx Srwax u+1 reduces to a new integralg(u) du. If g(u) = , ev...

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Q: Find the equation of the tangent line to the graph of 3x- xy + y - 9 = 0 at the point (2, -3).

A: The graph of 3x3-x2y+y3-9=0 at the point 2,-3

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

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Q: f(x) = 3√3x^2 + x + 1  take note: fuction of x is cube root of 3x^2 + x + 1 (a.) the critical numb...

A: As per bartleby guidelines we only give first three suparts  question answer.

Q: Question 2 du where u= {(x) and for some constant, k. Compute /\2). The integral reduces to e + 1 A ...

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Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

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Q: Question 10 cot (2x) Evaluate the integral Vcot (2x)- 15 cse (2x) A) --Arcsec 4 4 cot (2x) B) Arcsec...

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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: Precalculus Solving Trig Fur Solve each equation

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Q: 3) A businessman ventures to put up a digital printing shop which caters to printing of t-shirts for...

A: Let the number of t-shirts that will obtain maximum gross return is = 50+x. In this case x t-shirts ...

Q: Find the total differential dw. 5. w = x tan¬ y – 2ªyz

A: The objective is to find total derivative dw.

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: Evaluate the following limits using L'Hôpital's rule   2. lim x→0+ tanh x/sechx − 1

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Q: = 6 sin x at the point Find the equation of the tangent line to the curve y /6, 3). The equation of ...

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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: Video Example Find the linearization of the function f(x) = Vx + 1 at a = 3 and use it to approximat...

A: Linear Approximation , L(x) = f(a) + f'(a) (x-a) If f(x) is concave up in some interval around x=c ,...

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

A: ∑k=0∞78k+2

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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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: 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: The figure shows how a function ?(?)f(x) and its linear approximation (i.e., its tangent line) chang...

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Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how ...

A: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how ...

Q: O : (2r-3)/ar- 12x²+ 7 – 2 im |2x*-3 + Vart- 12r²4 7|} +C V4r4– 12r2+7|}

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Q: „3x -dx be given. If u=e* + 2, then the resulting integral is e+2 Jf(u) du. Compute f (3). Let A 3 B...

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Q: Question 8 12x +1 dx. (2x- 1) (3x+2) Evaluate: 1 A (2x- 1) (3x+2)? %3D B) In (2x- 1)? (3x+2)| + C (2...

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Q: / 5x? tun(3x) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find f Given: 5/2 A 18 B none ...

A: This question can be solved using the concept of substitution as used in integration.

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: Q4) Prove that 1- Cos +x) = sin x, 2- (sin x +cos x) sec x see' x

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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: Check which one of the following functions is a solution to the differential equation y" -y= sin x. ...

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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: Find the Maclaurin polynomials of orders n = 0, 1, 2,3, and 4 and th find the nth Maclaurin polynomi...

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