9. lim 818 4x + 3 5x − 1

Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

A:

Q: Determine if the following series is absolutely convergent, conditionally convergent, or divergent.…

A:

Q: Hence construct explicitly a decreasing differentiable function g(x) such that lim g(x) = 0 lim…

A: We are assuming a function g(x) which is a differentiable function even at x -> +∞ If a function…

Q: 4. (a) (b) Express the given equations in polar equations. x² + y² = 7 4.xy=3

A:

Q: Evaluate the definite integral. Southe 11T 2 9 sin(x) dx =

A:

Q: 6.) f(x) = HOLE(S) x²+x-2 (x+2)(x²-2x-15) VERTICAL ASYMPTOTE(S) HORIZONTAL ASYMPTOTE -10 10T 8- 8-…

A: The function is  f(x)=x2+x-2x+2x2-2x-15

Q: Solve the differential equation. dy dx = 9x√y for y = 0

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

Q: Exercise (2): Find the inverse Laplace transform of the following functions. 59}. (1) L- (2) L-1 (3)…

A:

Q: 9. Find the distance between (1,) and (1, π). (a) (c) √2 √3 (b) 2 (d) √π

A:

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A:

Q: Change the Cartesian integral to an equivalent polar integral, and then evaluate. 10 √100-x² S - 10…

A:

Q: x - 2y - 4z = 2 2x-3y-6z = 4 -3x + 6y + 13z = -1 Solve the system of linear equations using the…

A: The given system of linear equations:x-2y-4z=22x-3y-6z=4-3x+6y+13z=-1

Q: Fill in the missing values to make the equations true. (a) log, 11 - log, 9 = log₁0 (b) log+ log 3 =…

A: Given equations:- log511-log59=log5 log4+log43=log415 2log63=log6

Q: A ball is thrown vertically up from the ground. If the positive direction is upward, then h = -16t²…

A:

Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal…

A: The given series, 12·3+23·4+34·5+45·6+56·7+.... We have to find the first five terms of the sequence…

Q: Solve the inequality 32 3-2X>7. 5

A:

Q: Find the rectangular coordinates of the points that the polar coordinates are given. p) (2, 17π/6)…

A: Given query is to find rectangular coordinates.

Q: Sketch the graph of the function and determine whether it has any absolute extreme value on its…

A:

Q: Find the first partial derivatives of the function f(x, y) = 1. fx(x, y) 2. fy(x, y) = = 5x (x + y)²

A: The given function fx,y=5xx+y2 We have to find the first order partial derivatives.

Q: Given the Rational Function f(x): = true? Check all that apply. p(x) q(x) which of the following…

A:

Q: Let f(x) = 5x² to f(6 + h). ƒ(6 + h) − ƒ(6) = 6x + 6. If f(6) = 150 and h = 5, determine the amount…

A: Given function:- fx=5x2-6x+6

Q: Let Give the 2,1 entry of 4-¹. a) 0-¹ b) 0¹/2 c) 03/2 d) 0-5 e) 0-2 f) O None of the above. 02 2 A-1…

A:

Q: The population of a country will quadruple in 2 years. If its current population is 13000, what will…

A:

Q: Find the extreme values of the function and where they occur. None O Minimum value is at x = e¹/4;…

A: To find the extrem values of the following function and to determine where they occur.y=lnxx4

Q: 13. If f(x) = 4x²-4 x-1 A. I only x≠1 " C. I and III only 4, x = 1 I. lim f(x) exists x-1 II. fis…

A: We can solve this as follows:

Q: Find the first partial derivatives of 4xy f(x, y) 4x + y af dx = -(2, 3) = = af -(2, 3) : dy = at…

A:

Q: Inverse Trig Functions: The trigonometric functions are not invertible because by the nature of…

A:

Q: Exercise (3): Use the Laplace transforms to solve the given initial value problems. (1) y' +6y=et,…

A: according to bartleby guide line we do only first part of multiple questions 1)    y'+6y=e4t…

Q: The side of an equilateral triangle is found to be 6 inches in length with a possible error of no…

A: Topic = Triangle

Q: Find the general form of a function whose second derivative is 10√x. Hint: Solve the equation ƒ"(x)…

A: we can find general form of a function. ∫xn dx = xn+1n+1+C .

Q: 3. f cos¹ 20d0

A:

Q: Let y = = (x³ - 7x) ¹(x) . Find dy/dx using the method of logarithmic differentiation. Answer:

A: Let's find dy/dx by using logarithmic differentiation.

Q: Differentiate y = arctan(cos x). y = 0

A: Given that        y = arctan(cos x)

Q: Calculate all four second-order partial derivatives of f(x,y) = 5x²y + 3xy³. fxx (x, y) = = fxy(x,…

A: Given, f(x,y)=5x2y+3xy3

Q: Draw a diagram to show that there are two tangent lines to the parabola of y = x² that pass through…

A:

Q: Solve the given Homogenous DE 1) y (ax-2y)dx -x (6x-y) dy=0 when x = 1, y=1

A:

Q: Solve the differential equation. sec(0) Be de dt

A:

Q: (a) Use the information you answered on number 10 to graph the function from that problem. 10) P(x)…

A: (a) The polynomial to be plotted is Px=x4+3x3-3x2-7x+6. The factorization of the polynomial can be…

Q: 26. tan ³0 sec ³0 de

A: Topic = Integration

Q: 2. Determine whether the series converges absolutely, conditionally, or not at all. 00 (-1)" a. 2n=1…

A:

Q: Use a trigonometric identity to evaluate the integral. [tan²(x) dx = +C

A:

Q: Let and Compute B - A. e O b) O O 4 -5 -3 5 -9 7 -4 5 3 -5 9 -7 6 5 7 3 1 3 d) Not possible. 9 -5 -1…

A:

Q: Use Cramer's rule to give the solution set to the system of equations 9x+4y=2z=1 5x+2y-z=-1…

A:

Q: Given f is a differentiable function such that f(4) = 2 and f'(4) = -3. If g(x) = 2x3 * f(x), find…

A:

Q: Use the Quotient Rule to compute: ਹੈ y dy y+5æ

A: By Quotient Rule ∂∂xuv=v∂u∂x-u∂v∂v2

Q: 5. Graph by converting to exponential form first. You must graph at least 3 points. y = log ₂(x+4)…

A:

Q: The matrices A and B are given by and C = BA. Give the value of c 2,1. a) 06 b) O-1 c) 00 d) 08 e)…

A:

Q: Suppose f is a one-to-one, differentiable function and its inverse function f-1 is also…

A:

Q: Differentiate y = cot ¹(t) + cot ¹(1/t). y = [

A: We know that: The Sum/Difference rule: f±g'=f'±g' The Chain rule: fgx'=f'gx·g'x Use the derivative;…

Q: M [=u n n! n

A: LK