For which values of x is the function below NOT continuous?

Q: f(2) Suppose that the limit value of: lim a , what does imply? g() O a. A limit exist. O b. The nume...

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

A: We have to solve this given bernouli equation. 

Q: This case study is about fitting data to various exponential-type functions. (Chapter 5) A commercia...

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Q: asider the function f(x) = e" on [0, 2), %3D

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Q: S cos²(2x)dx

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

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Q: 49. If the complementary function of this equation is Y. = c;e* +c2xe*, then by the method of variat...

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Q: For the next three questions, consider the differential equation: y" – 2y' + y = e* arctan r

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Q: Given the graph of f(x) below, what is the value of c such that lim, se (z) - f(c)? O b. 1 OC -5 Od ...

A: We have to find where Left Hand Limit= Right Hand Limit= function value 

Q: 2. Find the extrema of the function g(x) = x3 using any of the methods given in the above discussion...

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Q: If r(t) = , then unit tangent is a _______ , principal unit normal is a  ____ , and its curvature is...

A:   Given: r→(t) = ln t, ecos t, t2  

Q: Given u(t) = and v(t) = . Find the derivative of u(t) • v(t) at t = 4. Give your answer correct to ...

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Q: S cos²(2x)dx

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Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: Use the table below to find dx [f(x) + g(x)] |x=3 1 2 4 f'(x) g'(x) 4 1 5 3 1 4 2 d [f(x) + g(x)] (T...

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Q: Find the limit of the sequence using L'Hôpital's Rule. (In(n))² an = 13n (Use symbolic notation and ...

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Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y – 3 = 0. - -

A: Graphically: Now, the area can be found as the following.                 ∫-333-x2-6dx=∫-33-x2+9dx...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)*+1 8k k=...

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Q: Differentiate the following functions. Show step by step solution and Indicate your final answer. y ...

A: A detailed solution is given below 

Q: Evaluate the following: 4dt 5. 5t+ 2 1.

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Q: Let sk En(0.1)" n=1 Find s9.

A: Given that sk=∑ n=1k n (0.1)n -(i) Our Aim is to find s9=?

Q: 21. Determine the general antiderivative of f(x) = 4x 4x4 + 9 2x2 a. 2 cosh +C 3 22 + C c. 2 sinh¯ -...

A: As per our guideline we are supposed to be answer only one question you can repost other question in...

Q: just answer p2(x), p3(x), and p4(x). and please box your answer and make it clear. thank you

A: This is a problem related to derivative of the function. Maclaurin series is nothing but Taylor seri...

Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of ...

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Q: Ve dx

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Q: 3) Show f(x) = 5 is 0(x). Justify for an x> k. Give the C and k values. de stait E dinor uelta 4) Sh...

A: We say f(x) is O(g(x)) if there are constants C and k such that f(x)≤Cg(x) whenever x>k.

Q: Find torsion of the motion r(t) = . Leave your answer correct to two decimal places.

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Q: Find the derivative of 7 (t) = (1+t°, te¯t, sin (2t)) A. F'(t) = (3t°, (1 + t)e¯t, 2 cos (2t)) B. 7(...

A: We are asked to find the derivatives.

Q: e) 1 Σ Vn n=1 3 f) 5 3 п-1 п 8 W

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Q: dy Which of the following is the general solution to the differential equation dx e x+ In x = C y ex...

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Q: INTEGRAL Evaluate the following: S(a- S (a – x)-³dx 3.

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Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

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Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' = x...

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Q: Let the graph below be the graph of one wavelength (period) of f. Then f(1) = 3 -2 -3 -4+ 03 cos 3 O...

A: Trigonometry

Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

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Q: Vr csc Vx ,2

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Q: y par e for JTx (inx)? dx. wtioni dv = %3D

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Q: What is the general solution to the differential equation = (1 + y²)e*? dx

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Q: dy Write down a differential equation of the form dt = ay + b whose all other solutions diverge from...

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Q: Convert the point (1, , V3) from cylindrical to spherical coordinates. A. (2. 5. 5) 4' 6 В. 2,

A: To convert cylindrical coordinates (r, θ, z) to spherical coordinates ( ρ, θ, φ) we use following fo...

Q: Use technology to evaluate the given expression. Take 1.5 7.9 1.4 -2.32 5.4 and B = 5.8 0 A = \ 44.4...

A: A=1.4-2.325.444.4012.8AT=1.444.4-2.3205.412.8B=1.57.95.805.46.94.2B=4.2×1.54.2×7.94.2×5.84.2×04.2×5....

Q: FValua te!- D కో బాషా 2ax-x2 a

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Q: Solve the given differential equation. All solutions should be found. dy 3a? - 8y -y 8x+3ry dx NOTE:...

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Q: Determine the approximate root (x_r2) of the f(x) = 0.35x^4+2x^3 -x^2+0.36x +4, upto 2 iterations us...

A: f(x) = 0.35 x4 + 2x3- x2 + 0.36 x +4 f(-2) = -9.68 < 0 f(0) = 4>0 Hence, a root lies between -...

Q: Determine (without solving the problem) an interval in which solution of the given initial value pro...

A: Follow next step

Q: What value(s) of d are an appropriate choice when proving the following limit? lim (4x + 6) = 30 x→6...

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Q: xp: Sdx 1 x+Vx

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Q: 2-Vn n=1

A: Here, the given series is: ∑n=1∞2-n=∑n=1∞12n=∑n=1∞12n2 which is a positive term series for all n.

Q: 2.) Write down an example of a series , an such that the terms of the series go to zero, yet the ser...

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Q: dx V4x – x2

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