The tanh (2x) sech (2x) dx is equal to sech? (2x) sech (2x) -2*) O A. 1 +C 2(e2 +e 3 10 B. tanh6 (2x) + C O C. None of the choices in the list. sech³ (2x) sech (2x) -+C. 10 D. 1 e 2x +e-2x 3 OE. -e2+e sech³ (2x) sech$ (2x) -+C -2x 3 10

Q: Two airplanes leave an airport at the same time. An hour later, the planes are 229 km apart. If one…

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: 1. The lincar differential equation has the integrating factor equal to (Note: Simplify or solve the…

A: Given : dydx=1-xxy=-2x   To Find : Integrating Factor

Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work. 8T…

A:

Q: Given two vectors ữ and i that form an angle of 60 degree when joined tail to tail. And given that |…

A: Let's find.

Q: Integrate completely

A: Follow next step

Q: Maxima/Minima Classify all the critical point(s) of f(x, y) = 2a3 + 6xy? – 3 – 158iad maximum and…

A: The given function is;  f(x)=2x3+6xy2-3y3-150x.

Q: Determine whether the statement is true or false. If C denotes a constant of integration, the two…

A: Let's find.

Q: (a) A spring exerts a force of 12.8N when stretched 1.6m beyond its natural length. Assuming that…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A:

Q: A line is tangent to y = -4Vx when x = 1. What is the coefficient of x when the line is in the form…

A:

Q: x - 3 7. S V25- (x-2)2 dx 8. S tan5 (2) dy

A:

Q: Find the inverse Laplace transforms of the functions: a) F(s) = 9+s/4-s^2 b) F(s) = 1/s(s^2+4)

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t = 8 T(8): N(8) =

A:

Q: z'dz 214

A: We have to find ∫x2 dxx3+4.

Q: Complete

A:

Q: Bx, if x 2 S Suppose that v(x) = Find a value of B such that the function v(x) is continu- ous for…

A: The given function  v(x)=Bx, if x≤25, if x>2 To find the value of V such that the function v(x)…

Q: Find the Indefinite Integrals of the following: -3x* + 4x5 35 – sx . V1 – 1. 5* + 2 dx

A:

Q: Consider a triangle ABC like the one below. Suppose that A=74°, C=43°, and b= 63. (The figure is not…

A: From the given triangle,  A=74°, C=43° and b=63

Q: Find the average value of the function over the given interval. You must show your wo x2 - x +1 f(x)…

A:

Q: s at every number in its domain. 2x+1, f(x) = if x 5

A: Given : f(x)=2x+1      if x≤3ax+b     if 3<x<5x2+2     if x≥5      To Find : Value of a and b…

Q: Which among the following will result from the evaluation of limit below? lim,0 where m =n. Bg ath…

A:

Q: Which among the choices is not true about the continuity of f(x)? x²-4x-5 f(x) =D if x # 5 2x-10 3,…

A:

Q: The motion of a particle is described by the position function s(t) = t3 - 12t2 + 36t, t > O where s…

A: Use the derivative for the finding velocity of the function

Q: . Linear equation of order one: dy-(x' - 2xy}dx=0

A: The given differential equation is linear differential equation.

Q: E. 4.724 FREE RESPONSE Consider the exponential function f(x) = - -)*** – 3 to answer the following…

A:

Q: Which among the following is an even function     x2 + 1     (x + 1)2     x2 + x     (x +…

A:

Q: Using partial fractions, we can rewrite the equation as 1 dN = dt rN 50000r - rN dN Or rN 50000r –rN…

A: Here we have to use the concept of integration.

Q: A hydrologist needs to estimate the volume of the water in the approximately circular well as…

A:

Q: Consider a triangle ABC like the one below. Suppose that B=122°, a= 29, and c=59. (The figure is not…

A:

Q: om the tank at a rate of r(t) = 115e liters per minute. How much oil le

A:

Q: Show Complete Solution. A particle moves according to the function f(t) = t³- 9t2 + 15t,t20, where t…

A:

Q: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

A:

Q: The slopes of the lines tangent to the function y = 4x° – 4 T on the interval (-oo, 00) is a…

A: Given ,  The slopes of the lines tangent to the function  y = 4x3 -4√x on the interval (-∞, ∞) is a…

Q: Sketch the following function and classify the points of discontinuity. y = x for a -2 Input the…

A: Let's find.

Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: Given the differential equation y' = &r + y2 Find the Implicit derivative " dy/dx" of the…

A:

Q: Find T(t) and N(t) at the given point. r(t) = 7 cos(t)i +7 sin(t)j; t = 3 T(-) .3 .3. ||

A:

Q: Using mathematically precise language, explain in detail how you would multiply the complex number…

A:

Q: A pilot is flying over the ocean. He determines that the angles of depression to two ships are 65°…

A:

Q: Integrating factors found by inspection.: y(x² – y² +1}dx– x(x² – y² – 1\dy = 0

A:

Q: I) Consider the function: y = + C,e2x + C,e-5x + Czxe-5x

A:

Q: A particle moves along a straight line with its position given by s(t) = -8t2 + 16t + 1. Find its…

A:

Q: 1. Three students were given the following problem: Unfortunately, we cannot make out the actual…

A: Three students were given the following problem.∫? dx Unfortunately, we cannot make out the actual…

Q: Given the differential equation y' = 4x y Find the next two Implicit derivatives of the differential…

A: The given differential equation is y'=4xy ............................................. (1)…

Q: Find the Laplace Transform of the following: 1. g(t)=t cos7t

A:

Q: 1 xy Let f (x,y) =In . Then f (1. – 1)=..... 3x²+4y3 XX

A:

Q: Show clear and detailed solutions Provide the parametric and symmetric equations of the line that…

A: Let the direction ratio of required line is  l , m and n

Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

A:

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1) Determine the unit vector…

A: