Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In (sinhx)

Q: Find the derivative of f (x) = 1+ er e* A. ex+1 C.E (e*+1)² E. None of these В. ex+1 D. (1+ e*)²…

A:

Q: Sx In x dx

A:

Q: Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7,…

A: This question can be solved using the concept of component form of vectors.

Q: 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.…

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A:

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results when: (a) f(x) is…

A:

Q: Ssin ³xcos³xdx

A:

Q: Question 25 Find the standard form of the equation of the parabola using the information given.…

A:

Q: ne area A of a circle is increasing at a rate of 167 cm² /s. Find the rate of ne radius r of a…

A: We have to find change in radius

Q: Solve the following quadratic inequality: a“ – 6x + 8 <0 Write your answer in interval notation.…

A: First we shall factor and find roots of quadratic equation then figure out intervals in which…

Q: sin x 2. Find the derivative of y = 3+2cos x

A:

Q: The following telescoping series 1 sin-1 sin -1 n + 1 n=1 converges to 3 converges to= the above the…

A: Given problem:-

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: find the y a) y= CtX_ メ

A: As per guidelines we have to solve one question Please repost other questions again

Q: A particle is moving with acceleration a(t) = 36t + 2. its position at time t = 0 is s(0) = 2 and…

A:

Q: George was required to repay a loan that matured to $4,550 on August 14, 2015

A:

Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…

A: This question can be solved using the concept of shell method.

Q: ropriate substitution, n³ (4x)cos*(4x)dx is equal to

A:

Q: x2-4 dx S xVx2-9

A: solution:-∫x2-4xx2-9dx=∫xx2-9dx-∫4xx2-9dx                            =12∫2xx2-9dx-4∫1xx2-32dx…

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: Problem #2: Differentiate f(x) = [(2x3 – 8)(5x² – 3x – 9)]° and solve f'(2). Solution: Reason:

A: The given function,      f(x)=2x3-85x2-3x-93

Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y= 0, the singular points are: %3| x=2 and…

A:

Q: dy 7. Chain rule of differentiation Using chain rule of differentiation find for dx the following:…

A:

Q: compute J, f(x)dx 2x if x < 1 f(x) = { 4 if x2 1

A: Given query is to find the value of the integral.

Q: 1, g(z) VI+1 find the domains of (fg)(r) and (4)(). Is 3. If f(r) = VT (f9)() = V-1?(20 p) %3D Hinti…

A: Find your answer below

Q: Consider the parabola given by the equation: f(x) = 4x° – 10x + 2 Find the following for this…

A:

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 2…

A: The equation of distance S(t) as a function of time t is given asS(t) = 2 sin t , To find the…

Q: 15 Evaluate. 2n - 1, where n = 6 1 32 63

A:

Q: The maximum value of x +y subject to the constraint x² + y² = 1 is Write in decimal form (two…

A: We have to find the maximum value of given function.

Q: * the differential equation (x+y)dy+xdx=o is Homogeneous equation None of the above exact equation…

A: A detailed solution is given below.

Q: Express the series using sigma notation -5 + 10 - 20 + 40 - 80.

A:

Q: A piecewise function is given. Use the properties of limits to find the indica fix) if x 3 5. if x-3…

A:

Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx

Q: Evaluate 3x- 2y ds where C is the line segment from (3,6)to(1,-1)ts -58.240 58.240 O -57.991 O Non…

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: 12 Indicate a general rule for the nth term of this sequence. 6m, 3m, 0, -3m, -6m, . . . a n =…

A:

Q: Sx² sec2 x³ dx

A:

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

A:

Q: 24. Find the volume formed by rotating about the y -axis the region enclosed by: x = 9y and y3 = x…

A: Here, the curves are x=y3 &amp; x=9y. Now, the points of intersections are at: y3=9y⇒y=0,3   because…

Q: A Moving to another question will save this response. buestion 9 Consider this expression: -1 sin…

A:

Q: 1+x dx V1-x

A:

Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1

Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

A:

Q: 4 Which of the following is the correct expansion of (3x - 3y)2? 9 x2 - 18 xy + 9 y2 9 x2 - 9 y2 9…

A:

Q: 2 is rational ご -2 x is irpational odd ? even (メ)

A: Given the function,     fx=2,x is rational-2,x is irrational

Q: A cylindrical container with both ends closed has a radius r cm and a volume 100 cm³. Determine the…

A:

Q: limn→∞ √n = ∞

A: Given :limn→∞ n

Q: Use a change of variables to find the indefinite integral. Check your work by differentiation. 1 xp-…

A: solution:-∫11-4x2 dx=let x=12sintdx=12cost dt∫11-4x2 dx=∫11-412sint2 ·12cost dt=∫11-sin2t ·12cost…

Q: Consider this function: y=-5 sin(3x+x) (Continued from previous question.) Imagine the graph of this…

A: We will find the 5 points.

Q: What is the coefficient of the second term in a binomial that is raised to the sixth power? 5 15 20…

A: