Y zo when X-0 -h sin TRX

Q: 10. Given vectors ū=[-3,2,–6]and v=[5,0,8], find

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing a...

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

Q: Evaluate using wallis formula: (4-x2)/2 dx and let x = 2sine 0.

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Q: x = -1 if y=u° +5u – 4 a

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 2(-1)*+1_k+ 10...

A:   ak =(-1)k+1 k+10k(k+11) {bk} =k+10k(k+11)bk - bk+1 =k+10k(k+11)-k+11(k+1)(k+12)=k3+23k2+142k+120-k...

Q: 3. Find and and y= ivative of

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

A: From definition of Taylor series about center c of a function f(x) we know, f(x)= ∑k=0∞fk(c)xkk!

Q: Let 5n2 + 14n an = 3n4 - 5n2 - 19' b, = 3n2 Calculate the limit. (Give an exact answer. Use symbolic...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about %3D x = xo and then find the nth T...

A: Taylor polynomial

Q: The derivative of the function y = x(tan-'(3x))² is: y' tan (3x) 6x + (1+9x²) tan-³(3x)] tan (3x)[6x...

A: y = x(tan-(3x))2 dy/dx = (dx/dx)(tan-(3x))2 + x(2(tan-(3x))(3))/((3x)2 +1) dy/dx = tan-(3x))2 + 6x(t...

Q: 1 1 cos³30 \cos830) sin330

A: Solution is written in below steps.

Q: Determine whether the series converges. Ve k=1

A: To determine: Whether the series converges or not. Given information: The series is ∑k=1∞1ek Concept...

Q: Find the indefinite integral. x2 + 8x + 5 x3 + 12x² + 15x + 6 xp

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Q: The derivative of the function y = xe(5+sec(2x)) is: хе %3D

A: Explanation of the answer is as follows

Q: tiny, no bug lands on a piece of graph paper and walks along a path so that t minutes after it lands...

A: Increasing function

Q: Find the derivative of the function. PLEASE HELP ME ANSWER WITH SOLUTIONS    SOL 6,7

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Q: You are given the graph of a function f defined on the indicated Interval. Find the coordinates of t...

A: Absolute Maximum of a Graph: The absolute maximum of a given graph is the point on the entire graph ...

Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x2 – 6xy + y3 = 24

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Q: Find the nth Maclaurin polynomial for the function. 5x – 4 f(x) = n = 4 %3D x + 1 Pa(x) =

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Q: Select all vectors parallel to the vector (1, –3, 5). O (2, –6, 10) O(-1,3,6) - 15 ? 5 )

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: Question : Find the general term of the sequence starting with n=1 . Determine whether the sequence ...

Q: 2r (1- lim

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Q: Use the formula for the binomial series: (1+x)™ = 1 + mx + x² + .… + m(m–1) m(m–1).-(m-k+1). k! + .....

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Q: Given: C = 10 24° В a = 12 Find the following item (nearest whole number and degree). ZA = 102° 78° ...

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Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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Q: Evaluate r3+3r2+3r+1 lim f. lim a. r--1 r+1 X+o x+1 e+x? 1-cos? 2x b. lim X-4 -3x+4x2 g. lim- 3x 15x...

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Q: 6. State the quadrant bearing and true bearing of the vector shown: Quadrant Bearing 25 W + E True B...

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Q: Assume y(x) eaa cosBx is one of the solutions of the DE y(3) – 3y" + 7y' – 5y = 0. - Then α β (A) 3 ...

A: The given question can be solved as shown in step2.

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(/x) xp

A: ∫5cosh(x)xdxlet x=tdifferentiate on both sides12xdx=dtThen ∫5cosh(x)xdx=5∫2cosh(t)dt

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Find dY at x = -1ifY zu%5V=4 3. and u= X²+ X

A: Given that y=u3+5u-4 and u=x2+x We need to find dydx at x=-1 Take y=u3+5u-4 Substitute "u"  ⇒y=(x2+x...

Q: Set up but do not evaluate, an integral for the length of y = Vr +2,1<r<7 using, 2 dy dx (a) ds = 1+...

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Q: c) an (-1)" (4)" d) аn — 5 — п

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Q: The derivative of the function y = xe(5+sec(2x)) is: y' = [1+ 2x sec(2x) tan(2x)]e(5+see(2x)) y' = [...

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Q: f(x)-f(xo) f'(x) = lim 2. f(x) = x2-5x + 6 3. f(x) = Vx + 6 at x = 2 at x = 3

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Q: Solve the triangle for which ZA = 30\degree, ZB = 45\degree, and a = 20. Round to the nearest whole ...

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Q: Using the figure shown, find cota (3, - 4) -4/3 4/3 3/4 -3/4

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Q: sec ec-'(2y cos r) = x"

A: This is a problem of derivative of the given function. By using general formula of derivation we wil...

Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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

A: Using the binomial series expansion: (1+x)k=1+kx+k(k-1)2!x2+k(k-1)(k-2)3!x3+...                     ...

Q: 9. . cos xsin?x dx. 2 ,5 10. 2 sin°x dx 0,

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Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3 example...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Find the indefinite integral. sin 78 V COS 76 de

A: Given: I=∫sin37θcos7θdθ  ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: d²z 2+ 3-2z = te-2t ; z(0) = 0 z'(0) = -2 dt2

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

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Q: II. For each of the following functions, find the indicated derivative using the definition. Show so...

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Q: x" – 2x' + x = et x(0) = 1 ; x'(0) = 0

A: solution given below

Q: B) Find for the following function: X + tan(xy) = 0 dx

A: