Given the series E n10 Which one of the following gives lim n=1(-10)+1 Select one: 3 10 1 None of the others.

Q: In(x®y®) = x² +y³

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Q: Find the limit. (ti – 6j + r² k) lim t→4 lim (ti – 6j + r² k) = i+ j+ i i i k

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Q: Write z1 and 22 in polar form. 21 = -36, z2 = V3 +i Z1 Z2 Find the product z1z2 and the quotients 2…

A: Let's find.

Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: The area bounded I led by y=3x and 2y=3x is revolved about the y-axis. Using circular ring method,…

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Q: 12. y" +y = séc' x tan x.

A: Let's find.

Q: 6. sech(4x) tan (4x) dx

A: We need to evaluate integral.

Q: Match each graph type with its corresponding function. 1X Linear Function 1 y%3 2 2. y= log1 X…

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Q: Differentiate Зх — 6 y = csc 5x2 + 9 A. Зх — 6 Зх — 6 - y' = cot csc 5x2 + 9 5x² + 9 ) В. Зх — 6 Зх…

A: Differentiation

Q: If f(x) dr = 6 ,what is the value of f(5 – 1) dr

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Q: A ladder 42 feet in length rests against a vertical wall of 36 feet in height. What is the measure…

A: Given query is to find the angle of elevation.

Q: Condense the expression to the logarithm of a single quantity. (log3(x - + 1) + 2 log3(x – 1)] + 6…

A: Let's find.

Q: 5- y? = 4x (4, 4) y = 2x – 4 (1,-2) Using a horizontal element of area, the area of the shaded…

A: Here  we have to find the area of shaded region.

Q: Identify whether the given is a discrete or continuous variable. 1.The temperature of a cup of…

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Q: V. Determine all the relative minimum and maximum values, and saddle points of the function h…

A: Solution: Given data, h(x,y)=x3-3x+3xy2

Q: a) Find the general solution to the differential equation f"(x) = e8x + 3x – 1 1.

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Q: 元 店sit sin? 4x cos² 2x dx

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Q: Solve the equation xydx - (x + 2)dy = 0

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Q: 1. Calculate the area of the graph enclosed by the curve y = sec(2x)tan (2x), the x-axis, and the…

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Q: 5. (1 + e*/") + e*/ dy

A: Solution

Q: Given a non-exact differential equation(x - sin?y)dy + sin y dx = 0. Find two integrating factors.

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Q: 3. Sx³V4 + x² dx

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Q: 3. Write z = 12.2 - 31 in polar form. Use 3 decimal places.

A: The objective of the question is converting to polar form.

Q: Given: a = 22, c= 24.1, zB = 6T C a A Solve the triangle. (Do not round until the final answer.…

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Q: g. f(x) =x' +Vx + h. f(x)=sec(3x)+ tan(5x³)

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Q: Find the area of the region bounded by the given curves. Show the computed areas of sections using a…

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Q: Select all that apply. For the quadrant in which the following point is located, determine which of…

A: Given query is to find function , which are positive for the point.

Q: 22. Sketch the region bounded by f(x) = Vx -1 and g (x)=x-1 AND find the area.

A: Sketch

Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

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Q: 12. A force of 170 N is applied to move an object 90 m horizontally. If the force is directed 33°…

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Q: 3. Which of the following integrals requires integration by parts? A. S csc°0 de B. S cot*0 csc*0 do…

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Q: provide a step by step solution to the following bernoulli equation (y⁴ - 2xy)dx + 3x²dy = 0 ; when…

A: Let's find.

Q: Find a and b such that f(x) is continuous at x=1. [x – 2] + a x 1

A: A detailed solution is given below.

Q: 1) Use the Integral Test to determine whether the series > 1 is convergent or divergent. n=1 (3n–…

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Q: Ssec10dE

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Q: y = (e3*+4 +2)/(e²*3x +1)

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Q: Find the general solution of the given ODE x +1 y': y* +1 x? + r- - y? = x +4x + k Option 1 O Option…

A: integration

Q: Use the chain rule to find the derivative of f(x) = 6/3x + 5x10 Type your answer without fractional…

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Q: Q3/ Find the limits 1. lim 2. lim Vx+2-1 X-1 х+1

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Q: Determine whether the series is absolutely convergent, conditionally convergent or divergent. Please…

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Q: 7. Two planes leave the same airport. The first plane leaves at 5:00 pm and averages 470 mph at a…

A: Given problem:- Two planes leave the same airport. The first plane leaves at 5:00 pm and averages…

Q: -3 -8- -

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Q: x-1 y = log x+1

A: Topic:- derivatives

Q: sin in dx X COS21nx

A: A detailed solution is given below.

Q: 8. Sketch a graph (different for each) that satisfies the given conditions: a) f'(x) 0 if x -2 (x…

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Q: (2x2 + x -3) * (x + 1) a = [21-3]; b = [1 1]; find conv (a, b)

A: Given :2x2+x-3*x+1

Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: 3 1 - dx 2 2. cos sin X

A: solution:-∫cos4xsin3x1x2 dxlet 1x=t-1x2dx=dt=-∫cos4tsin3t dtWe know that the formula  2cosAsinB =…

Q: Exercise 2. Find the following limits 3x +1 1-3x² 3x +1 1) lim to 2x + 5 2) lim X+ 2x +5 3) lim x-…

A: Use limit concept