Use "shortcut" formulas to find D[log10(arccos(2*sinh (x))]. Notes: Do NOT simplify your answer. Sinh(x) is the hyperbolic sine function

Q: 8. Below is a region Rxy, in the XY plane: y= 2r +4 y = 4- y- 2r -1 Consider the change of variable…

A: The given integral is I=∫∫Rxyxey-2xx+ydAxyconsidering the given change of variables I.e. u=x+y. ,v =…

Q: (D + D,)'u=0 %3D

A: We have to solve given problem:

Q: dz Suppose z is a function of a and y, and tan Vy2 + #² = 2"¢&v. Solve for dz and dy

A: Solution :-

Q: You can afford a $400 per month car payment. You've found a 4 year loan at 6% interest. How big of a…

A:

Q: Which one of the following statements is TRUE sin'n is divergent by the Integral Test n+1 O The…

A: Here we will use integral test for convergent /divergent  to check the series ∑n=k∞an   will be…

Q: Consider the change of variable u = xy and v = x - y and the integral (x² – y²) • ea³y-wy°dAgy Rey…

A: We have to change the variables using  u= xy , v= x-y for given integral  I=∫∫Rxy(x2-y2)ex2y-xy2dAxy

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1te sinu x %3D =…

A:

Q: EX. 3 Find the first derivative of the function tabulated below at point 1.5. 1.2 1.5 1.7 0.1823…

A:

Q: Suppose that a power series 00 8(x) = bn x" %3D n=0 00 has the radius of convergence p > 0 , all b,…

A:

Q: +3y. Smix

A:

Q: Solve the initial value problem (3+x*)y" + 4y = 0, y(0) = 0, y (0) = 12. If the solution is y = co +…

A:

Q: IV. Suppose z is a function of r and y, and tan y2 + x² = 2*e. Solve for az dz and %3D dy

A: To solve for dz/dy and dz/dx.

Q: use two and three Points of Gaussian Guadrature xp = 1 %3D

A:

Q: my" + cy' + ky = F(t), y(0) = 0, y'(0) - 0 modeling the motion of a spring-mass-dashpot system…

A:

Q: Using the variation of parameters method to find a particular solution of a nonhomogeneous DE with 3…

A:

Q: 161 n + e 20 n 2n + tan (103 n) 00 The sequence is n=1 O divergent as its limit is 0 161 O…

A: Consider he given sequence. ln161n+e−20n2n+tan−1103nn=1∞ We have to check whether the given series…

Q: Solve the following problem over the interval from x = 0 to 1using a step size of 0.25 where y(0) =…

A: Given differential equation is dydt=(1+4t)y      (1) with initial condition y(0)=1 and t varies from…

Q: · (D³ - 3D² - D + 3)y = 0

A:

Q: Determine a possible exponential function E such that E(1) = 4 and E (2) = 16.

A:

Q: Prove that l17 is the only prime number of the form n²- 64.

A: We have to prove that 17 is only prime number of the form n2−64. Since, n2−64=n+8n−8 Let for some…

Q: Let E Os 0s n, 0s zs 1, 8Vzs rS 8. Compute

A:

Q: II. Military Clock 1. 58 hours after 2300 2. 18 hours after 0900 III. Days of the Week 1. Today is…

A:

Q: 16 Evaluate o Jo .zpxpÁp

A:

Q: Four candidates are running for a lone position in the council of representatives. The results are…

A: Majority is a noun that in general means “the greater part or number; the number larger than half…

Q: b) Determine whether the series 00 (-1)" /n is n² + 3 n=1 convergent, absolutely convergent or…

A:

Q: 9. Consider the R region shown in the following figure, which involves the curves of equations: 22 +…

A:

Q: (a) is spanned by the vectors 10 Determine whether the vector v = --()-- [] and or not. 8 (a)…

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(r, y, z) = 4x + 2y + z subject to a +y +…

A:

Q: log, (cot-1 x) 1- cosh(2") 3. lim I -00

A: 3 We have to evaluate the limit limx→−∞logπcot−1x1−cosh2x. Since, at x→−∞, cot−1x=0 And at x→−∞,…

Q: he differential equation using Bernoulli equation x dy/dx + 6y = 3xy4/3

A:

Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

A:

Q: Given the vector from P, p(t) = 2t-2t-3. Find the system you need to form to determine whether the…

A:

Q: Show clear and detailed solutions: Suppose that z is a function of x and y, and tan Vy? + x² = z"e©y…

A:

Q: 4. Let f:R→ R be a function defined by f(x)=x for every xeX . Show that f is a continuous.

A: Let A ⊆ R , let f:A → R and let c ∈ A. We say that f is continuous at c if, given any number ε>0,…

Q: dz IV. Suppose z is a function of a and y, and a? – y² = 2"e®y. Solve for dx -

A:

Q: (A) Estimate the area under the graph of f(x) = 3x³ + 4 from x = -1 to x = 5, first using 6…

A: Part A

Q: We want to find the dimensions of the rectangle with the largest area that can be inscribed in the…

A:

Q: Find the general solution (y, x, C) = 0 to the following ODE dy x(7 — х — 2у) - у (5 — х — у) dx

A:

Q: Evaluate F. dS, S where F(x, y, z) = (3xz – Vy? + 2?, sin(x – 2), e" - z²) and S is the surface…

A: Since S is the boundary of closed region in space. So we apply the Gauss Divergence Theorem.

Q: 8. (A) not a function (C) function; domain: [-4, 2] (D) function; domain: [-4, 4] (B) function;…

A: To identify give mapping are function or not.

Q: Let f(x) = x²/4 be defined on [0,4]  . Use the a. RIGHT Riemann Sum b. LEFT Riemann Sum c.…

A: Given: f(x)=x24, 0, 4 and n=4 To find: (a) Right Riemann sum (b) Left Riemann sum (c) Midpoint…

Q: Find inverse of the following matrix-: b' а A =

A:

Q: Suppose z is a function of a and y, and tan Vy? + x² = z"e6y. Solve for dz dz and

A:

Q: Find L(sin? at)

A:

Q: Now suppose this is the graph of f'(x). Answer the following: + + b + a d A) Where is f(x) the…

A: (A) The graph of the derivative f'x lies below the x-axis which represents that the function is…

Q: Let p be a prime such that p = 1 (mod 4). Prove that -lF, is a square in Fp.

A:

Q: 6. You want to find the dimensions of the rectangle with the largest area that can be inscribed in…

A:

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A:

Q: The population of mosquitoes in a certain area increases at a rate proportional to the current…

A:

Q: ne number of bacteria B(t) in a petri dish culture aftert hours is ven by B(t) = 400e0.876t When…

A: Population of bacteria