Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

Q: 3x2+8x-12 dx x3+7x2+12x

A: As per the instruction, we will be answering only the first question.     ∫3x2+8x-12x3+7x2+12xdx=∫ -...

Q: .15 S sin²4y cos>4ydy

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Q: sec Hovy long it will tace the bor te ach 99°C I Round the ani wer to one deaimal place ] Tsec

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Q: A region bounded by the following curves is revolved around the y-axis. Use cylindrical shells to fi...

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Q: What are the removable singularities of the functions ?

A: Topic:- function

Q: ) de 1 cos330 cos830. sin³30

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Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x [0, 4], then find the ...

A: Solution

Q: MY NOTES ASIK YOUR TEACHER Consider the following differential equation. (x y?)y - y2 Let (x, y) FIn...

A: Given    x2+y2y'=y2 We have to find ∂f∂y and region of XY plane

Q: r = 6(sec 0 + tan 0)3/2

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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: . Given the point Q(1,-2,4) and a plane p: 3x + 2y + 6z = 5, find a) The distance from Q to p. b) Th...

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Q: Find the volume of the solid obtained by rotating the region between the curves y = 3x - x³ and x-ax...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

Q: cos 2X 80 dx csc (x) sec (X) CSC

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Q: 1 :dx J xV16ln² x – 9

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Q: 12. Simplify the following rational expression for the function f (x) = 5x2 f(x + h) – f(x) h

A: Given f(x)= 5x² So, f(x+h)= 5(x+h)²=5x²+10xh+5h²  

Q: Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) Su...

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Q: ( sin23ß cos11ßdß

A: solve integration  2sinA.cosA=sin2A 2sinAsinB=cos(A-B)-cos(A+B)

Q: Given the following graph, what is the exponential equation that relates the variables?

A: Here x = independent variable y = dependent variable k = y - intercept = ( 4.5 0.1) m/s2

Q: For each of the following functions, determine: (a.) the critical numbers of f (b.) all relative ext...

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Q: (2y² + 3x) dx + (2xy) dy = 0 .

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Q: Solve the given initial-value problem. dy + y = In(x), y(1) = 20 dx (x + 2) y(x) = Give the largest ...

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Q: 12x Ja +9)6 dx

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Q: 1. Find the y" of y (4x-3x + 1)9 (5x + 7)2 1/2

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Q: 2csct -1 D csct +2

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Q: Q2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the ...

A: Topic:- integration

Q: 2022 2. Evaluate lim,tx (1+

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Q: sin-(ry) = cos-(r – y)

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Q: Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

A: Integrating by parts : ∫u.v dx =u∫v dx -∫(dudx∫vdx)dx ∫sec(ax) tan(ax) dx= 1asec(ax) +C ∫sec(ax) dx ...

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate int...

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Q: Determine whether the series converges. 1 Σ k + 10 k=1 The series eTextbo converges diverges

A: To determine whether the series converges.∑k=1∞ 1k+10

Q: 4x-1 4x-1 Calculate lim and lim If the limit does not exist but can 8х-5 8х-5 x→-00 be described as ...

A: Here, to evaluate the given limits  limx→∞4x2-18x-5  &   limx→-∞4x2-18x-5

Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when n...

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Q: nd two numbers whose sum is 24 with the condition that the sum of the square of one plus six es the ...

A: Topic:- calculus

Q: Find the equation of tangent line to graph at f at the given point.

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Q: 1D Learning Task 2: Find the slope of the given two points 1. (5,2); (2,3) 2. (0,3); (-2,5) 3. (3,5)...

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Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate int...

A: Here, the given DE is: (x2+y2-7)dx=(y+xy)dy⇒(x2+y2-7)dx-(y+xy)dy=0...(1) Now, Comparing it with M dx...

Q: By completing the square, dx tegral J_2 x2+4x+5 is equal to=

A: ∫-2-11x2+4x+5dx

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

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Q: 2022x -dx J x2 + 6x + 18

A: Solution of given integration question is written in below steps.

Q: Use Green's Theorem to calculate ( - sen(a))da + (2a + 3)dy, where C is the triangle with vertices A...

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Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

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Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

Q: 5. A man 1.9 meters tall is walking away from 6,7-meter-tall lamp post at the rate of 170 cm/s. a. F...

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Q: Determine whether the alternating series converges. 6ln k 1)* k k= 3 O The series diverges. The seri...

A: The given series is summation of (-1)k6lnk/k , k from 3 to infinity.

Q: Evaluate: dx using 8 intervals the trapezoidal rule

A: Using trapezoidal rule to evaluate the integral.

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: 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: Identify the type of surface represented by the given equation. Hyperboloid of two sheets Ellipsoid ...

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp ...

A: The given integral is x/(x4+10x2+26).