Consider the function f(x) = 3x? – 2 + 1, 0

Q: A lamina occupies the region inside the circle x2 + y = 4y but outside the circle x2 + y = 4. The de...

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Q: Consider the function f(x) = 6x 6x + 1, 0 < I< 6. The absolute maximum of f(x) (on the given interva...

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Q: Use the difference an+1 - an to show that the given sequence {a, } is strictly increasing or strictl...

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Q: sec 30°cos 60° =

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Q: For the Gp 20,5,1/4 find the common ratio N term Sum of the first 5 terms

A: Given: - The Gp is, 20,5,14 To find: - The common ratio N term sum of the first 5terms.

Q: Find ? (t) that satis fies | + t?

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

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Q: 17. Evaluate S sec x (secx + tan x) dx a. tan x + sec x + C b. tan x - sec x + C c. - tan x + sec x ...

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Q: Find the derivative of the function. (®) = cos(6?) f'(0) =

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Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2, [...

A: We have to check if the function is continuous or not.

Q: A company produces a special new type of TV. The company has fixed costs of $458,000, and it costs $...

A: Given query is to find the marginal profit on production level of 200.

Q: 1 The function f (x) = 5 + 8x + 128x has one local minimum and one local maximum. This function has ...

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Q: Simplify sin?g + sing csce + cos?g. 2 1

A: We can find the answer as below.

Q: Squeeze Theorem to evaluate lim x→0+ x [1 − cos (1/x)]

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

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Q: CalculateS.

A: Here we have to calculate ∫02xe-xdx by trapezoidal rule n = 10      

Q: Evaluate the integral. 1 8 dx x3

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Q: Express the repeating decimal as a fraction. 0.2513 23 23 23..

A: We can express the given repeating decimal as fraction as below.

Q: Which of the tollawing differential eouations corresponding to the potertial Vix) = 2x - x

A: Differential equation    Option  2nd  is correct   

Q: 1 sec x sin x CSC X cos X tan x

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: SOLVE THE DIFF EQ (x²+xy²-x³)dx + (x²y-v®)dy = 0

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Q: Find the Maclaurin Series for the function f(x) = sinx/x

A: The given function,   f(x)=sin xx

Q: Find the equation of the tangent line to f(x)=−2x−4x^−1/2+3 at the point (4,−7).

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Q: In each part, find a formula for the general term of the the sequence, starting with n = 1. 1 1 1 (а...

A: a)     an=13n-1 b)        an=(-1)n-13n-1⇒an=(-13)n-1

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

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Q: d 1. Evaluate: dx [V5 5+ (x° + 1)³ d cos* x + sin* x dx 4 4 2. Evaluate:

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Q: Activity 1: Determine the number at which the function is discontinuous. Show why Definition 1 is no...

A: A function f(x) is continuous at x=a if and only if limx→a+ f(x) = limx→a- f(x) = f(a).

Q: (c) Determine if F is a conservative vector field. Given that the charged particle is moving along t...

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Q: Considered the graph of Function a.

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Q: a- Use the invers matrix to find the solution of the following system. x-2y 1 2x+y=7 b- If det(A + B...

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Q: sin x 1+ cosx 1+ cosx sin x 2cscx 2secx 1

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Q: 23. Evaluate f-43*+3 dx a.- 3 In 4 b.- *+3 -+ C -3 In 4 С. - In 64 + C d. none of the above 24. Eval...

A: We have to evaluate these integration by assuming some terms who convert it in simple integral. 

Q: onsider the equation below. (If an answer does not exist, enter DNE.) f(x) x² + 4 (a) Find the inter...

A: I have done the red cross part of the question mention

Q: Without solving completely, explain why the function x2+ 5x − 3 has a zero on the interval [0, 1]. G...

A: The condition for a given continuous function f(x) = 0 has zero in a given interval [a , b] are foll...

Q: 5x dx 4. To evaluate the integral J which of the following formulas can be used? V9+x10 du In(u + vu...

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Q: Mark the critical points on the following graph. z'e ,0.1 0.9 0.8 0.7+ 0.6- 0.5 0.4 10.3 8.2 ON+

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Q: 2 y = | (x 3. 4x + 5) dx

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Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

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Q: Determine whether the series converges. k + 4 Σ +7 k=1

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Q: Determine the domain and range of the following function. х-1 g(x) = V16–x²

A: Given : g(x) = (x-1)0.5/(16-x2)0.5 To find : 1. Domain                 2. Range

Q: . Evaluate f(12x² + 2x)dx a.) + 2x + C b.)꼭+ 2 +C c.) 4x² + x² + C d.) 3x³ + 4x² + C 3. Evaluate f d...

A: Topic:- integration  

Q: Find the unit vector having the same direction as i = ( – 1,9). V82 V82, 9. of- 1 9. V82 V82 O (1, 1...

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Q: y'- 5y = x°e* – xes*

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Q: Use the difference a+1 an to show that the given sequence {an} is strictly increasing or strictly de...

A: The given sequence,      n7n-6n=1+∞

Q: Suppose f(x) is continuous for all x and positive for all a except at x = and/ f(z) dz converges. Se...

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Q: Consider the function T = xe3x+y? dy 5 and dt where x = Vt + 1, and when t O we have y -2. dT when t...

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