DEvaluate the Riemann sum for f(x) = x- 1, -6

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A: Topic:- matrix algebra

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Q: 3cott csc? 3tdt 5. (4+30cot3t

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Q: 22. n/2 sec (t/2) dt 24. | (tan?x + tan*x) dx

A: using the properties of integral we find the given integral 

Q: (ө-4)d@ (в+5)* 2.

A: SOLUTION-

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Q: Evaluate the integral. 0.4 x2 dx 4 - 25x2 |

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Q: л- 25х — х? — ху - 2у? + 30у - 28

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Q: 1. =2*e* = 2*e*

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Q: 1. Using tables of values, determine the limits of the following. (i) lim (x° + 1) x→1 (i) lim(1 – a...

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Q: Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

Q: 4

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Q: he general antiderivative of a function is also called the. A integrand B arbitrary constant differe...

A: The general antiderivative of the function

Q: Determine whether the integral is convergent or divergent. 2 dy 4y - 1 convergent divergent If it is...

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Q: (5 + 4) + 6 = 5+ (4 + 6) illustrates the property of addition.

A: This question is related to algebra.

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Q: Find the linearization of the function f (x) = x at x = 1. a lal sin (a) L (x) Using this linearliza...

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Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There w...

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at t...

Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

Q: Suppose that f(x) = 11x² + 4x. Find: (A) f'(x) = (B) The slope of the graph of f(x) at æ = 2 and æ =...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-  parts for...

Q: 2. Complete the following table. lim 2016 lim r -2 -1/2 3.1416 10 V3

A: Given table:- c limx→c2016 limx→cx -2     -12     0     3.1416     10     3       ...

Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x + ...

A: Given that: (a)y=3x2+cos(3x)(b)y=e4x+(x+1)4

Q: (14) dx + xydy

A: Given

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + cze3x (2) by eliminati...

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Q: 23T Does the angle 45 have a compliment? If so, what is its compliment. If not, explain why. Show al...

A: We can find the complement as below.

Q: Solve the triangle below. Re 6. 37 R

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Q: 3. Find the Scalar eguation of the plane containing the line rt) =<!,2,-37+ -3,2, 17 and the point P...

A: Given problem:- Find the scalar equation plane containing the line  r (t)= &lt;1,2,-3 &gt; + t &lt; ...

Q: Variable Separable (8) dx dy e 3x+2y; Provide the explicit solution (9) secx dy = sec 2ydx

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Q: л3 160х - 3x? - 2ху- 2у? + 120у -18

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Q: Evaluate ∫100(ti+(t^2)j+(t^3)k)dt=  i+  j+  k.

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Q: Find the slope of the line tangent to the curve x + sin(y+π) = 2x3 + ey at the point (-1,0). Show wo...

A: Topic:- application of derivatives

Q: f(x)=2x^2-6x-1, find x so that f’(x)=0

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Q: Describe how the graph of the following function can be obtained from one of the basic graphs. g(x) ...

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Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

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Q: 2n5-n2+4 i. an n²+1

A: Follow the procedure given below.

Q: QUESTION 2 Differentiate of the following function with respect to x. a) y = x³ln (2x) 3x2+10 b) y =...

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Q: A bacterial population Y is known to have a rate of growth proportional to Y itself. If between noon...

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Q: Given the differential equation y" + 2y' + 3y = 0 Determine the General Solution for the given Diffe...

A: Follow the procedure given below. 

Q: de 2 C:and 0.1784 arctan + C; and 0.1784 arctan aretan k- + C; and 0.1784 arctan

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Q: Evaluate the integral below along the given path. (Give your answer correct to 2 decimal places.) /(...

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Q: Write out the first five terms of the sequence with, | ()" determine whether n+4 n+2 n=1 the sequenc...

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A:  A sequence an is convergent if it has a unique and finite limit "a".And we say that the sequence is...

Q: Let g (x) = 12/x+ 10x . Use the limit definition of derivative to find the derivative of g (x) at 2....

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Q: Let each of the vectors A = 5a, -- a, + 3n,, B = – 2a, + 2a, + 4a,, and C - 3a, – 4a, extend outward...

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Q: Find the unit tangent vector at the indicated point of the vector function r(t)=e^(18t) cos t i+e^(1...

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Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth i...

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Q: Determine whether the integral is convergent or divergent. 1 5 dy 4y - convergent divergent If it is...

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Q: Homogeneous Differential Equations (13) (4x* + x³y + y*)dx + x*dy = 0

A: We are asked to solve the homogenous differential equation