1. Write down the derivative of (a) y = ex (b) y = e-342x (c) y = 2e + 4e* (d) y = 10e - 2x² + 7

Q: A large snowball is melting so that its radius is decreasing at the rate of 4 inches per hour. How…

A: Volume of snowball=v in3Radius of snowball=r inch

Q: Find the volume of the given solid region in the first octant bounded by the plane 15x + 15y +9z =…

A: See this solution in below.

Q: #37) (modified) Find the equation if the tangent line at the point x=1: y = x4 + 1/x - 3ex

A:

Q: Consider the function f(x)=2x^3+12x^2−30x+7, −5≤x≤2 Find the absolute minimum value of this…

A: Given function f(x)=2x3+12x2−30x+7,We know that, at  critical point x=a ,If f 'x>0 to the left of…

Q: Sin (x-7/2₂

A: Sol we have trigonometry function

Q: 1 Evaluate (31-i)² dt 0

A:

Q: QUESTION 15 Interpret the divergence of F(X,Y,Z) = (x2y.yz², zx²) at a point (1.-5,1).

A: The given vector is:F(x,y,z)→=x2y, yz2, zx2

Q: lution of the logistic differential equation: dy dt alysis (and possibly a computer generated slope…

A: We have to find the solution of the given differential equation

Q: Find the following limit. lim X→∞ lim X-8 x²-3 2 √√4x4 4x + 2 x²-3 4 4x + 2 (Simplify your

A: Solve for the limit

Q: 16 Which of the following is the solution to the linear system given by the matrix below? [1 0 3 0 1…

A:

Q: 3.1. Express each of the fol (a). (√2-i) - i(1 -√2i), (b) 2i

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Question Use a power series to represent the function f(x) Sorry, that's incorrect. Try again? £ £ 1…

A:

Q: Use the given graph of f to find a number 8 such that if 0 < |x - 3| ≤ & then [f(x) − 2| < 0.5. y 8…

A:

Q: 6х3 + 2х2 +22х 2х2 +5

A:

Q: ง N iv. Stan³ (x) sec³(x) dx v. f sin²(x) dx

A:

Q: Solve for the general solution of the given DE: O Inlx| + xy = C O Inlyl + xy = C O Inlyl + x^-1…

A:

Q: Question 9 Suppose a binary message word is to encoded using repetition code where every bit is to…

A: Solve this question, as given below.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A:

Q: Use the Comparison Test to determine whether the series is convergent or divergent. Σ n = 2 1 n8/9 -…

A:

Q: The function f(x) = 3 - 2x is defined for the given domain -2 ≤ x ≤ 2. What is the range? (A)7 ≤…

A:

Q: Cos (anc tan $3 tancsin)

A: Solution: Given data, cos(arctan(√3)+arcsin(1/2))

Q: b. use the definition the derivative of derivative of the f(x) = 5-4x + 3x² to find

A:

Q: Find a formula for the nth term of the sequence in terms of n. 5 5² 5³ 9 12 15 18 an 1 6 for n 2 1

A:

Q: Determine whether 1.0⁰ improper integral. eva de converges. If convergent, find the value of the x

A:

Q: ↑ Using actual and projected data from 2000 through 2050, the number of millions of white…

A:

Q: Proceed as in Example 3 in Section 6.1 to rewrite the given expression using a single power series…

A:

Q: Choose the correct answer Find a function f(x, y, z) such that Vf(x, y, z)= F(x, y, z) = (yz, xz,…

A:

Q: QUESTION 12 Interpret lim 4xy² along x = (x,y)-(0,0) x²+3y4

A:

Q: 51-54 Find an equation of the tangent line to the curve at the given point. 52. y =√1 + x³, (2, 3)

A:

Q: Let f(x) = 1- x³. Show that f(-1) = f(1) but there is no number c € (-1,1) such that f'(c) = 0. Why…

A:

Q: Which of the following integrals is the area enclosed by the graphs of f(x) and g(x) shaded below? a…

A:

Q: Use the definition of continuity and the properties of limits to show that the function is…

A:

Q: Which one of the following graphs fits the descriptions given about an open interval containing…

A:

Q: cx² + 6x x³ - cx For what value of the constant c is the function f continuous on (-∞, ∞)? Let f(x)…

A: if f(x) is continuous at x = a then limx →a+f(x) = limx →af(x) = limx→a-f(x)

Q: 2. a) Find the average value of f(x) = x", where n is a positive integer, on the interval [a, b]. b)…

A: We have to find the average value and use mean value theorem.

Q: QUESTION 3 2-1 Find parametric equation of line == +2 22=2²=== y + 3z = 23 Hence find its…

A:

Q: 33 What value of 6 would give the following function f(x) = x³ + bx² − 5x + C Select one…

A:

Q: g(x) = 250 + 8x3 + x4 (a) Find the interval of increase. (Enter your answer using interval…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: H.W.. Solve the following equations... 3 2 3. ( y.). . . .xy? dy where y.(..)... ********…

A:

Q: Determine the solution for the following higher-order homogeneous differential equation. Also,…

A:

Q: For what value of a is the following function continuous at every x? a²x+2a, x≥2 12, X<2 f(x) =…

A: Topic = Functions

Q: Escoge la mejor contestación 1. Identifique la superficie cuadrica 2² =²+² 16 a. Cono elíptico b.…

A:

Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 Σ1 4 + 1…

A: Use comparison test to determine convergence of series

Q: 44. If 5y² + sin(y) = x² then dy dx = ? 2x 10y + cos(y) 10y + cos(y) 2x 10y - cos(y) 2x 2x 10y -…

A:

Q: y = sec ² t 2 y=1-₁² 0 t

A:

Q: Which of the following is a normal vector to the plane which is parallel to vectors (0, -3, 1) and…

A:

Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x³ - 12x + 9

A:

Q: g(x) h(x) F(x) G(x) 4 7 9 6 4 2 387826 5 4 5 6 7 3 12 748 7 Which of these functions is one-to-one?…

A: By using one to one function concept

Q: 1. Find the general solution of he DE dt2 dy +8t+y=0 t> 0.

A: