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A: We have to find these integrals are convergent or divergent.
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A: Taylor polynomial of f(x) of degree n about x=a is given by, pn(x)=∑k=0∞fk(a)k!(x-a)k
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A: A)(x,y)=(3,4)r=x2+y2r=32+42r=25r=5θ=tan-1yxθ=tan-1(43)θ=53.13°B)(x,y)=(6,-8)r=x2+y2r=62+(-8)2r=100r=...
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Q: Which of the following is the general solution to the differential equation + = 2e*y? dx
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Q: 1a)Find the length of the curve: x=t^3,y=3t^2/2; 0 ≤ t ≤ 224 b) Find the length of the curve: x=t^3...
A: Given, a) x=t3,y=3t2/2 b)x=t3,y=3t2/2.
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Q: 2. We want to integrate a function over the region bounded by x = y2 - 1 and x = /1- y2. What should...
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Q: (3x² + 1 +)d: x 2x2 (2+v) dx 2. 3. хсos(2x? + 7)dx 4. (7x³ + 4x²)dx 5. V1— сosxdx
A: Integration xn dx=xn+1 /n+1
Q: Question 6 Let Fx) be an antiderivative of fux), with F(O) = 50 and J, f(x) dx = 12. what is F(5) = ...
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Q: Evaluate the Following Integral sin7 Cos4x
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Q: 1. lim(2x + 4) x-3 2. lim f(x) if f(x) = {- ifx 1 %3! x² - 4x + 3 X-1
A: Here we will solve the given limits,
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A: Take the derivative multiple times and observe the pattern then substitute in the formula for Taylor...
Q: Given f(x) = 2/x + 5 and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).
A: Let's find.
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A: We have given some conditions:f is evenf'0 and f''0 are undefined but f' is differentiable everywher...
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A: Given ∑k=1∞56k+2=∑k=1∞56k562 =2536∑k=1∞ 56k This series can expressed i...
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Q: n (x+1)] Evaluate the limit of the function f(x) = e of Values method. as x approaches 0 using Table
A: Solution is written in below steps.
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Q: Consider the following. Rx) = x - x + 2, -1sxS1 Use technology to estimate the absolute maximum and ...
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Q: 2 Find fx) + 2g(x)]dxif / F(x)]dx = 5 and / [g(x)]dx - 3. 1) In order to evaluate this integral, use...
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Q: Given f(x) = 2/(x + 5) and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x))
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Q: Decide whether the integral is improper. 6 dx 5 X O proper O improper Explain your reasoning. (Selec...
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Q: dy Use logarithmic differentiation to find given that dx c-'(yT) y = 4sech(5z) (log6 x)=`
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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...
A: Given problem:-
Q: Question 24 Evaluate the integral. 23x dx A 23x + C B) There is no correct answer from the given cho...
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Q: A linear function is given. Complete parts (a)-(d). Ay 10- g(x) = - 3x + 4 8- 6- 4 (a) Determine the...
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Q: Find all inflection points of the function given, and then find the regions where the function is co...
A: f(x)=x36x+24=x36(x+4)f'(x)=16 (x+4)3x2-x3(x+4)2f'(x)=x3+6x23 (x+4)2f'(x)=0x3+6x2=0x2(x+6)=0x=0 or ...
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A: Two function are givenfx=x2gnx=1-1-xn where n≥1.
Q: Evaluate the Definite Integral sin'y dy - Blank 1 Note, the answers should be three decimal places o...
A: ∫0π3sin3ydyconsider∫sin3ydylet u=cosydifferentiate on both sidesdu=-sinydy since u=cosy ⇒u2=cos2y ...
Q: Read, understand, and solve the given item. Write your solutions on a separate sheet of paper. Sx², ...
A: To find out the continuity of the function at x=0
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Q: Lim as x approaches 0 1-cos(5x)+sin(3x)/x
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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...
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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...
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Q: 2. Find the maximum and minimum of the function f(x,y) 1 subject to the x² +2y² constraint x* + 2x²y...
A: Solution is given below:
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Q: 2x + 8, z 8 is continuous at z = 8. Justify the conclusion. (i) f(8)= (ii) lim f(r)= Z-18 (iii) lim ...
A: i) f(8)=16ii)limx→8-f(x)=limx→8-(2x+8) =2(8)+8 ...
Q: dy 3 - dx2 4 y = 1/2 dy/dx = -1 when x = 1
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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...
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Q: 1a)Evaluate the double integral over the rectangular region R: ∫∫R 4xy^3 dA;R=(x,y) :−10≤ x ≤10,−8 ≤...
A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...
Q: Evaluate the integral. 고-36 x² – 36 . 6cos- (승) +0 /x² – 36 - dx = Vx² – 36 – 6cos¬! + C x² – 36 (9)...
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Q: Find the integral. In 8x dx
A: I=∫ ln 8xx dxln 8x =t18x(8) dx = dtdxx =dt
Q: Find a differential equation whose general solution is y = cjet + cze-". = 0
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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...
A: Here, to evaluate the given integral use the trigonometric substitution. ∫x2(x2-36)32dx
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