54. tan x secx dx

Q: Please

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Q: - 2ry? = 0, y(0) = -1. The interval I of definition os (D) (-∞0, 0).

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Q: sketch the interval (a, b) on the x-axiswith the point c inside. Then find a value of δ> 0 such…

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Q: Determine the intervals in which solutions are sure to exist. t(t − 2)y(4) + e¹y" + 6t²y = 0 -

A: Find the singularities.Then form intervals avoiding them

Q: Q1. Differentiate the following w.r.to x 5x+1 (iii) (Зх-2)2 (iv) tan?(-4x + 7) 4

A: To differentiate the following w.r.to x. (iii) 5x + 13x - 22(iv) 14tan2-4x + 7

Q: -3r 10 f(x) : r2--20 C, r= 5 What value of C would make f(x) continuous at r 5?

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Q: For the function y=3 sin (2x-Tt/2) +4... 2 points find a ,b &c* y X

A: Given,  Wave function: y= 3sin(2x-π/2)+4 We need to calculate the value of a, b and c for this wave…

Q: So, which of the following is the solution functiony(t) ? a) y(t)= sinh2t = e* %3D b) y(t) = sin2t –…

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Q: 2ay" If x= Arctant, y=/1+16, find the value of a if = 17 when t=V2. y' А (B) 2/2 E -2/2

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Q: 2z et f(æ) = 4(). Which is equal to f(1)? %3D Select the correct answer below:

A: Given:fx=4132xf1=?

Q: w = (2x – 7)(x +5)/ Establezca dw dw dx 2.

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Q: sketch the interval (a, b) on the x-axis with the point c inside. Then find a value of d > 0 such…

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Q: 2ay" If x= Arctant, y=V1+16, find the value of a if y' 17 when t=

A: Here is solution

Q: sketch the interval (a, b) on the x-axiswith the point c inside. Then find a value of δ> 0 such…

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Q: Is the following curve concave up or concave down at x= 3?  y=-2/(x-2)^5

A: if second derivative is positive at any point then the function has cancave up and if function has…

Q: 1. Explain the following intervals on the line numbers: (a) -3 5 (e) xs2

A: Our guideline allow us to solve first question only If you need rest of answere then upload it…

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that…

A: Let f(x)=sec(x) The domain of f(x) is: x∈ℝ-π2,kπ, k∈ℤ

Q: and C be th = = 0. If [F.d.

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Q: 2. If f(x, y) = x² + xy − cos(xy), find the domain and range.

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Q: Determine the intervals in which solutions are sure to exist. t(t – 5)y(4) + e'y" + 9t°y = 0 %3D…

A: Given differential equation is tt−5y4+ety''+9t2y=0......1 We have to determine the intervals in…

Q: Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

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Q: dy Find the function y(x) satisfying = 30, y'"(0) = 4, y'(0) = 6, and y(0) = 6. 3 d'y = 30, y''(0) =…

A: Let's find.

Q: Given f(x, y) 70x + 60y – 2? – 3y? – xy - - evaluate f(1, 3). f(1, 3) =

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Q: (cas(r) – 1) = -sin(x)(?-y),>( ®* ) = 0

A: the solution of given initial value problem is:

Q: Trace the following curve: v3 9r2 1 24r. 7

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Q: If x= Arctant³, y=V1+r°, find the value of a if- 2ay" =17 when =2. y' A D 2/2 2

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Q: Use the Runge-Kutta(2) with h=2 to approximate x(4) for the IVP x'=x?-t+1, 23154, x(2) =2. OA 31 O…

A: Use Runge-Kutta 2nd order with h=2 to approximate x4 for the IVP         x'=x2-t+1,       2≤t≤4x2=2…

Q: Civen foy -x-6x+7 ind the oguation 7 the tongent line to the une e of fo) at x=4

A: Given: f(x) = x2 – 6x + 7 and the point x = 4.

Q: The second interval begins at t = 10 and ends at t = 15, so its width is At2 1595 %3D

A: Use simple way to find the width,  ∆tn=tn - tn-1 As said in question itself.   For finding ∆t2 = t2…

Q: The interval in wh (4-t2)y' +2ty 3 Select one: O a. (-2,2) b. (0,1) C. (0,2) d. NOTA

A: Given        4-t2y'+2ty=3t2;     y(1)=5

Q: 2ay" If x= Arctant³, y=/1++6, find the value of a if =17 when t= y' B D 2/2

A: Application of derivatives

Q: ind the lenght of the curve y= 3/5x5/3-3/4x1/3+6 for 1 inferior or equal of x, and x inferior or…

A: We need to find the length of the curve.   So the Length of The Curve Y = 3/5 X^5/3 -3/4 X^1/3 + 6…

Q: Which of the following below is NOT an ordered pair solution to f(x) = Vx+7 O (-7,y) O (-8.y) O…

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Q: S sec? (4t) (3 – tan(4t))³dt A (3 – tan (4t))* + C 4 1 (3 – tan (4t))* + C 16 1 (3 – tan (4t))ª + C…

A: ∫sec2(4t) (3- tan(4t))3 dt Substitute u = 3- tan(4t) dudt= - 4sec2(4t) dt = -14 sec2(4t)du= -14∫u3du

Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: Find a - b - c; for b>0. Given PS: f(x) = [n! (2x + 1)"] with : n=0 ROC: R = a IOC: (18 C

A: The give power series is                            f(x)=∑n=0∞n!2x+1n  with:…

Q: Use the given graph of f(x) = Vx to find a number 8 such that |x – 4| < 8 then Vx - 2 <c if < 0.4. 8…

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Q: f(x) =Tx-L, C17,4) find an eguation e tancend line to the arraph Given point of the off at the

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Q: Is h(x)= one-to-one?

A: function f : X → Y is defined to be one-one, if the images of distinct elements of X under f are…

Q: c = , d.f. = __te =_ E = , interval: to

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Q: sketch the interval (a, b) on the x-axiswith the point c inside. Then find a value of δ&gt; 0 such…

A: Now, we want to find the value of δ such that a &lt; x &lt; b whenever 0 &lt; | x - c | &lt; δ.…

Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: For what value of the constant c is the function f continuous on ( – 0, ∞) where | cy + 2 if y 4 -

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Q: -at f(t) = 5e"t – 5e

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Q: sy,z) = 8x? In (5y + 9z). Find the range %3D

A: We have to choose the correct answer from the given option according to the given option

Q: For cos- s2(xy) =-, evaluate y' when x = 1. 4 (A) В 6. (с) 6. D 3

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Q: For what interval is g(x)= 1 concave down? x²+1

A: g(x)=1x2+1 The function g(x) is concave down when g''(x)&lt;0

Q: Given that dy/dx = (x^2) and y=3 when x = -1, find the function f(x) in terms of x y-x+c--1 C

A: dydx=x23=x23

Q: which of the following relations is currently a functions but fails the vertical line test when the…

A: If a vertical line intersects the graph in some places at more than one point, then the relation is…

Q: How far is the object away from the origin when it fırst changes direction on the interval 0 <t< 3?

A: Given: An object is moving along the x-axis. At t=0, v(t)=sin2t, for 0≤t≤3