Hi, I'm a college student. Please help me answering my assignment in Calculus. Please provide a clearer solutions or if possible put a brief explanation. I promise to rate it helpful or put a thumbs up. Thank you so much.  Derivatives of Hyperbolic Functions, Implicit Differentiation, and Higher Order Derivatives: 1. y=cosh(ex2+1)−esechx

Q: An object is oscillating at the end of a spring. Its position, in centimeters, relative to a fixed p...

A:

Q: In Problems 33 through 36, one solution of the differential equation is given. Find the general solu...

A:

Q: Find the volume of the solid bounded above by z = 1- (22 + y²), bounded below by the ay-plane and bo...

A:

Q: Suppose f(x) is a differentiable function. State the formula that determines the area of a surface o...

A:

Q: The graph of y = f(x) has f(5) = 2, f' (5) = - 1, and f'"(5) = - 3. Which of the following might be ...

A: Given query is to find the graph of f(x).

Q: Suppose that y = f(z) is a differentiable function of z. Then, d - (ytan y) =| dz NOTE: If your answ...

A: Using implicit differentiation

Q: 1 and g(x) 2 4 find the domain of f(g(x)) - 4 Given f(x) -

A: The domain of f(x) is -∞ , 2∪2, ∞ . The domain of g(x) is -∞ , 4∪4, ∞ . Now,           f(g(x))=f4x-4...

Q: -. Evaluate the surface integral z/x2 + y²dS, where S is the surface parametrized by S Ocoso, y = 0 ...

A: We will use standard method to solve this problem. 

Q: Find dw/dt using the appropriate Chain Rule. Function w = x sin y x = e", y = 1 - t Value t = 0 X = ...

A:

Q: Given F(2) = 1, F' (2) = 8, F(4) = 3, F' (4) = 7 and G(4) = 2, G' (4) = 6, G(3) = 4, G' (3) = 10,fin...

A: Note:- According to Bartley guidelines we can attempt ?️ only three subparts of a question so please...

Q: Let y be defined implicitly by the equation y + sin(y) = I Use implicit differentiation to find the ...

A:

Q: 3y" + 2y – ly = 1t² – 1t + 4e¬24 - Yp =

A:

Q: Problems: Test each of the following equations for exactness and solve the equation. The equations t...

A:

Q: Evaluate the integral dx- 1+ x8

A:  Given  ∫-∞∞x31+x8dx=?

Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (2,0,0), (0,4,0), and (0,0,1)

A: We have to find the volume integral of the given function.

Q: 12.7- Triple Integrals 1. Let D be the ice cream cone-shaped region bounded between the hemisphere z...

A: Triple integration

Q: Find the sum. 2 2k - 1 k = 1

A: K is from 1 to 4 , so there will be 4 terms.

Q: When a foreign object lodged in the trachea forces a person to cough, the diaphragm thrusts upward, ...

A:

Q: Suppose that $5700 is invested in an account with an APR of 5.8% compounded continuously. a. Determi...

A: Given : Initial Investment= $ 5700 APR = 5.8 %

Q: Consider the lines l1: r= 4 – 3t, y= 2t, z= 1 +5t , x – 4 l2 : (a) Find the intersection point of th...

A:

Q: Let f (x) = cos(6x) + 7. Compute the following Taylor polynomials of f. For any approximations, you ...

A:

Q: Use the quotient rule to differentiate the following function: 9/7 – 20 f(x) 4VE +8 f'(z) = HINT: Tr...

A:

Q: (a) Using a coefficient of 3 for y, the equation for the tangent plane is. 1 - 4t, (b) Find the equa...

A:

Q: Suppose that a particle moves along a horizontal coordinate line in such a way that its position is ...

A:

Q: For n = 4 , Legendre polynomial is 94 (x) = (35x – 30a? + 3)/8 %3D Find all its four roots.

A:

Q: d) This Simplification of the expression below, where u, v, and w denote suitable positive realy num...

A: We know that ,  1 )  log ( a • b ) = log ( a ) + log ( b )  2 )  log ( a n  ) = n • log ( a )  3 )  ...

Q: If f(x) = 17, what are f'(x) and f'(- 8). f (a) = f'(-8) = Submit Question

A: Given  f(x) = 17 Then what are f'(x) and f'(-8) 

Q: | Sketch the region bounded by the graphs c y = 3e*,y= 3–x,y= 2x+0, and x=2. Then compute th area. N...

A:

Q: (a) Find the differential dy. y = ex/5 dy = (b) Evaluate dy for the given values of x and dx. x = 0,...

A:

Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

A:

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

A:

Q: Find the area of a triangle with the sides of 12 and 22 and include angle 10. Round to one decimal p...

A:

Q: dw For the functions w = xy + yz + xz, x=u+ 3v, y = u - 3v, and z= uv, express dw using the chain ru...

A:

Q: 1: A bacteria culture has an initial population of 500. After 4 hours, the population has grown to 1...

A: NOTE: Refresh your page if you can't see any equations. . for the doubling time, use the formula he...

Q: 22z4 – 81z3 + 62 1824 + 5z2 + 13z + f Find horizontal asymptote of y Note: Give the exact answer but...

A: To find horizontal asymptotes compare the degree of the numerator M  to the degree of the denominato...

Q: Solve the differential equation:  y'=y/x +x , with y(1)=1

A: First order linear differential equation

Q: An object is oscillating at the end of a spring. Its position, in centimeters, relative to a fixed p...

A: Here is the solution of the given problem.

Q: 6 Given tthe sketch below of メ where z=x=+ y dx = -3 =-a fmin, = 1fhan; スコマ#; 4=6fe -1) スコ8#34=6€ dt...

A:

Q: +10 ay +24 y=0. (a) If y= Asin x+B cos x, show that d²y -+y=0. dx dy (b) If y= Axe", show that x- y(...

A:

Q: Evaluate the integral by reversing the order of integration. 3 27 2e* dx dy

A:

Q: Calculate the surface area if the curve y = 3sqrt(x) is rotated about the x-axis.

A:

Q: 1 Let f (x) 1 + 3x The coefficient of x8 in the 8th Taylor polynomial pg is . (Write your answer as ...

A:

Q: rectangular storage container is to have a volume of 18ft^3. The length of the base is equal to thre...

A:

Q: Find the value of c and d that makes the following function continuous on R 2. c+d I-9 if z 3 I-3 c...

A:

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the tri...

A: Given that

Q: - 6x - 15 if x -3 Calculate the following limits. Enter "DNE" if the lim f(x) = I -3

A:

Q: Write the following sum in sigma notation. Start summation index from 1. -3a* + 8a – 13a® + 18a" – 2...

A:

Q: Find the total differential. 4x + у W = 6z - 2y dw II

A:

Q: The function f: x-> a + b cos x, is defined for 0 sxs 2n. Given that f(0) = 10 and that f)= 1, find ...

A:

Q: Which of the following statements is TRUE regarding interest rates? O A. The penalty for spending be...

A: