Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b. 1/6 (tanh e)2+c d. 1/3 (tanh e")² + c O d

Q: *Use the following information to answer the next ques Consider the following functions y = x'+ • y…

A: We have to find the functions that meet the definition of exponent unction.

Q: The following series is divergent: (n°-2 Σ n=1 5n4 Select one: O True O False

A: Solve the following

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A:

Q: Evaluate the integral by making an appropriate change of variables.   7(x + y) ex2 − y2 dA,…

A:

Q: For the differential equation (x² – 3)y" + (x+ V3)y' + y = 0, singular point is a regular X=9 x=3…

A: Given

Q: Using the substitution x = sec 0, -dx x²Vx² – 1 - where x > 1, is equal to 2vx2–1 + C x² – 1 + C X X…

A:

Q: For the differential equation (x -4)y" + (x- 2)y'+ 2y 0, the singular points are: O None of them x-3…

A:

Q: 4.) f(x) = etinlx)+cos (x)

A:

Q: 4.) f(x) = etinlx)+cos (x) 2+4x+4 5.) (x) = = 6.) S(x) = +r-s)(ar-7) 622-131+7

A:

Q: Solving by variation of parameters y"-3y' x the general solution is: O None of them O c_1+c_2…

A:

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the ration…

A:

Q: Eliminate the parameter and find à corresponding rectangular equation: x = t , y = 2–3 t

A:

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)

Q: Juliana invested $5,100 at 5.75% p.a. simple interest. How many days will it take for her investment…

A: Given query is to find the time taken to grow the investment to 5310.

Q: In Vix dx sce x dumx dX Serx tam

A:

Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: topic- average rate of change of function over interval

Q: Evaluate the difference quotient fla+ h) - fla) for the function f(x) = 6x. 1

A: Given  f(x) = 6x  We need to find the difference quotient  f(a+h) -f(a)h…

Q: 5. Prove lim,40 V2r +I= 1.

A: Given :limx→02x+1=1

Q: Plot the polar curve r(0) = on [0,57].

A: Given that,  r(θ)=θπ on 0,5π

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x -…

A: Given that f'(x)=x-12x+2

Q: Use the limit comparison test to determine whether each of the following series converges or…

A: Topic:- sequence and series

Q: = a and log5 2 = b then log5 216 can be expressed as pa + gb. The value of (nearest whole number)…

A:

Q: degrees

A: We will find the degree of freedom.

Q: Kyle wants to build a rectangular pen for his animals. One side of the pen will be against the barn;…

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given query is to find the the function.

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: 9

A: We will find the difference coefficient.

Q: 5х + 3, х < 1 f(x) = {x? + 4, 1<x< 2 ( x², x2 2

A:

Q: Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (x³ – 4x²)(x²…

A: We have to solve partial fraction.

Q: The series 7 2n E,(-1)" 4 n= is absolutely convergent. Select one: True O False

A: Root Test : Suppose we have series ∑ an .Define,                          L = limn→∞ an1n .Then ,(…

Q: Without evaluating the constants, the partial fraction decomposition for 5x? – 3 f(x) %3D (x3 -…

A: Given :5x2-3(x3-4x)(x2+3x+2)(x2+1)

Q: Compute the partial derivatives: 5x dz dz

A: Given query is to find indicated derivative.

Q: 3n4 4n – 1 n=2 converges O diverges

A:

Q: y= x y = I+x

A: We will find the area under the curve.

Q: 17. y csc(5x)

A: Differentiation

Q: In Exercises 1 through 4, find the area of the shaded region. 1. y= Vx

A: Area

Q: Question 2 ( x? Consider the function f(x) = . x2 -1 (a) Find the intercepts of the graph of f (if…

A:

Q: x3 + x2 – 5x + 15 dx 5. (x2 + 5)(x² + 2x + 3)

A: Partial fraction: A complicated rational statement is decomposed into two or simpler fractions using…

Q: The particular solution y, of the differential equation y" + 4y' + 4y = 3x? + 1 is (1/8) (1-2x+6x^2)…

A:

Q: Given that f (x) = x 2 - 5x + 6, evaluate the function f(6). 0 -12 12

A:

Q: 2. Find the volume of tetraherdon with the vertices A(-1, 2,0), B(0,3,-1), C(3,3,0), and D(1,1,-1).…

A:

Q: 4 about the point a = 3. (Your answers should include the variable x when appropriate.) Find the…

A:

Q: 3- A box with an open top is to be constructed from a square piece of cardboard, 3m wide , by…

A:

Q: Bag A contains 3 white marbles and 2 red marbles. Bag B contains 6 white marbles and 3 red marbles,…

A:

Q: 24 Evaluate the following. 5! 120 15 720

A: 24)  To evaluate: 5!

Q: Using the method of undetermined coefficients, a particular solution of the differential equation y"…

A:

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…

A:

Q: Find the curve length of the function 1 1. f(x) = ;x² 0 < x < 3

A: We can find the curve length as below.

Q: P8: sin x cos x dx (2 sin x – 1)(sin x + 1)

A: Use the substitution and then partial fraction to solve the integration.

Q: The general solution of the fourth-order differential equation y() + y" + y" =0 is: %3D y=c_1 +c_2…

A: The general solution of the fourth-order differential equation.