S sinxdx 7+ cos²x

Q: 1. Use f(x) = −1+ [g(t)dt and the values below to answer the following questions. 1 g(0) = = g'(0) =…

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Q: The first line does it read d/dx(x^h)=h*x^h-1 ????

A: The given rule ddxxh=hxh-1. We have to explain the formula.

Q: 5. Find the plane containing the line given by x(t)=4+3t, y(t) = -5+5t, and z(t)=3+8t that is…

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Q: Solve the initial-value problem for x as a function of t. dx (t2-10t+24) dt SAN 1, (t > 6, x(9) = 0)

A: Use the separated the variable

Q: ƒ ( 1 ) = 1 ² 0 1²) find f' (2) (2 decimal places) Using the Product r

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Q: 9-12 Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

Q: FIND THE INTEGRAL BY THE METHOD INDICATED: Notes: By Parts formula: 1. (BY PARTS) udv= = uv -Svdu […

A: The given integral is x(x-3)4. Integrate the integral by parts formula.

Q: What is an antiderivative of the function x + 2xln(x)? x²ln(x)+2023 xln(x) +2023 In(x) + x xsin(x) +…

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Q: 5n-2 =1\3n+4/ 100 n= 2n+11

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Q: What is the value of c > 0 that maximises the function h = ln(c) — ct, where t is a positive…

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Q: The monthly payment is = 52 Use the monthly payment formula to answer the question. Round your…

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Q: Determine whether the following sequence is convergent or divergent. If it is convergent, evaluate…

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Q: 24) Madaurin 4th order of f(x) = sinh(sinx)

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Q: Given one form a line, match it with its equivalent equation in another form. [x, y, z] [3, 2, 1] +…

A: a. x,y,z=3,2,1+t1,2,3b. x,y,z=-1,0,1+t0,1,0c. x,y,z=1,2,3+t3,2,1d. x=0y=1z=te.x=-ty=1z=1+t

Q: Question 10 Use the graph to estimate the limit of the function shown in blue as x→0. -5 -4 -3 -2 -1…

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: Calculate the integral approximations T6 and M6 for (lnx)-¹ dx. Your answers must be accurate to 8…

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Q: Use power series to solve the differential equation (1+2x²)y"+6xy'+2y=0

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Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

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Q: Evaluate sin (‡) dxdy- -π/2 cy² 1

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Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…

A: The given differential equation is;  y''+2y'+2y=24ex(cosx-sinx)  yp=6excosx y(0)=0, y'(0)=1.

Q: Find the first three terms of the Taylor series in x - a. ex. a=3

A: Given that a function f(x) = ex and a=3. We find first three terms of taylor series.

Q: Approximating the integral de by using the Trapezoidal rule and using, integral of: O 135.5 O 137…

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Q: If v(t) = -t+2 and d(0) = -3, then d(t) = - + 2t-3. false Otrue

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Q: SKETCHPAD Question 16 What unit vector is in the same direction as v = 2i - 4j?

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Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

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Q: Evaluate the integral. (Use C for the constant of integration.) [70 7 tan(x) sec³(x) dx

A: The integration given is, ∫7tan(x)sec3(x)dx

Q: Consider the equation 4x - 9y = 18 A line parallel to the above line would have a slope of A line…

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Q: The region R in the first quadrant is bounded by the coordinate axes, the curve y=e -5x The (exact)…

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Q: 3. y=√√2x (x²-2), y'=?

A: We have to find the derivatives.

Q: [8x(2x + 1)' & dx 5. Evaluate by a complete U - substitution (4 steps) replace all x's with u's}…

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Q: 4 3 -3 +---)-(6) --- 00 0 12 0 A-1 = 120 A-21= 0 5 3 0 0 0 3 3 -3 -(6)-( 0 -1 0 1 2 -1 1 0 0 1 0 0 0…

A: ⇒A-I=43-3000120 ⇒A-2I=33-30-1012-1 ⇒A-4I=13-30-3012-3

Q: Use the fact that tan x-x+²+25+12+ for (x) < to find the first four terms of the series for In(cos…

A: The series expansion of tanx⇒tanx=x+x33+2x515+17x7315+.....

Q: 4. 21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral.…

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: Determine all values of p for which the improper integral converges. [.. 7 dx Op> 1 Op≥ 1 Op<0…

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Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

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Q: A-1²3 5. Find the determinants of A= 1 1-6 B -1 4 4 Is det|A| = -det|B|? 5 -1

A: The matrices are A = 21-1-14451-1B = 2-11-1445-11 To determine: The value of determinants of A and…

Q: O Make a graphical tool to approximate the limit of the function. If necessary, round to three…

A: The limit of a function can be found by using the graph or by finding the table of values to the…

Q: 15. lim x-0 17. lim t->0 19. lim x-0 √1 + 2x 5¹ - 3¹ t et 1 2 x² X X √1 4x

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Q: If you know that f(x) = f'(x) = f'(x) and that f(-3) = 5 while f(1) = 5e4 then: [₁2.5" f"(x) dx =…

A: ∫-31xf''xdx

Q: X-25 (x-2) √√x²+2x Converges? Dieverges? dx AND WHY?

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Q: 7(6x + 1)³√√x² + x (6x + 1)5 x² + x 2

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Q: Use the substitution z = 6 tant, -≤t≤to simplify the following integral: dz 36 +22 Note that you may…

A: By using the substitution x=6 tan t, -π2≤t≤π2 to simplify the  following integral. ∫136+x2 dx

Q: 6) Use the Binomial Expansion Theorem to determine the sixth term in the expansion of (x + 3y)8

A: The nth term in the binomial expansion of (x + y)n is given by Tr+1=nCrxn-ryr

Q: Evaluate the surface integral ¹ // F F. ds for the given vector field F and the oriented surface S.…

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Q: Find the value of d2y/dx2 at the point defined by the given value of t. x-9 sin t. y - 9 cost, t =…

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Q: Find the equation of the line perpendicular to x = 3 through the point (-4, 7)

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Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x²,0 ≤ x…

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Q: 38. f(x) ex 1 + et

A: Since you have posted multipart question, i can do first three subparts as per our company…

Q: Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27…

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Q: Divide. 4+i -2+3i Enter your answer, in standard form for complex numbers, in the box. 4+i -2+3i ||

A: Given