Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = C₁ + Oy" +9y¹ = 0 Oy" - 10y' + 9y = 0 Oy" + 9y = 0 y" - 9y = 0 Oy" - 9y¹ = 0 c₂e⁹x

Q: Find the intervals where the curve is increasing and where it is decreasing. Also, find all z values…

A:

Q: Consider these three examples: A. S 1dx 1+x² B. f sin²x C.S.sin x dx We want to solve one using a…

A:

Q: 1) Find the area of the region above the x axis and to the left of the line x = 1 bounded by the x…

A:

Q: Sketch the vector field F. (Select Update Graph to see your response plotted on the screen. Select…

A:

Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x8, x = 2 b. x = 4…

A:

Q: Evaluate lim x-2 6-x-2 /3-x-1

A:

Q: Let f(x)=√/25 - x The slope of the tangent line to the graph of f(x) at the point (9, 4) is The…

A:

Q: Find the real roots of the equation B 244

A:

Q: a b = A = B Note: Triangle may not be drawn to scale. Suppose a = 6 and c = 7. Find: B = b O A O

A: Solution: Given:  a=6,    and c = 7 Using Pythagorean theorem

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

A: Given ,  You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes,…

Q: 4. S 1 x²√√x²+4 dx

A:

Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = P(2, 3, 4),…

A:

Q: . Find the open interval(s) on which the function is increasing and decreasing.

A: Given :f(x)=9x3-11x

Q: Solve the given differential equation. x²y" + 13xy' + 36y = 0 y(x) = ,X>0

A: The given differential equation is;  x2y''+13xy'+36y=0.

Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

A:

Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 16y = 12x + 6 y(x) =

A: The given differential equation is;  y''-8y'+16y=12x+6.

Q: 12 f(x) = x² - 6x² + 2 Determine the intervals on which f(x) is increasing/decreasing and identify…

A: Given,  f(x)=x125-6x25+2

Q: QUESTION 1 P 0 0 9 0 00r Show that 0 Hence, determine the inverse of the following matrices: 100 i.…

A:

Q: Problem 2.7 Let Find the limit lim f(x). x 0 f(x) = x² if x is rational 0 if x is irrational.

A:

Q: 1. (Use a calculator) Write down the equation used to evaluate the following expressions, and then…

A:

Q: Tutorial Exercise Find the domain of the function. 7 |x²-161 g(x) = Step 1 The domain is the set of…

A: To solve the given domain problem of the functions.

Q: Solve the problem. 16) The graph shows the height h (in meters) of a roller coaster t seconds after…

A: In this question, we need to find the time intervals in which the height of roller caster is…

Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

A:

Q: 1. Set up the formulation to find the surface generated when the curve y = x² is revolved about the…

A:

Q: 1. Evaluate the double integral r²y dA, where D is the region enclosed by the x-axis and the…

A: We can evaluate the double integral.

Q: Use the summation formulas to rewrite the expression without the summation notation. S(n): = 8i + 7…

A:

Q: 15) I What is the average rate of change of f(x) = from x = -2 tox = 4? x-s X+3 b 24 7 M C. d. 25 21…

A: We know that the expression for the average rate of change between the interval x2≤x≤x1 is: Average…

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: We are asked to find the diminishing returns of the point.

Q: Problem 2.11 For what values of x is f continuous? f(x) = { 0 if x is rational x if x is irrational.

A: We have to check the continuity of the function.  For continuity, left hand limit = right hand limit…

Q: нх У - 169 = 19.2 ё + воё, усо) =ўс) 4Х 4X -4Х Ans: y=2.2 +e+24xe X - Че

A: Solution of given question is written in below steps.

Q: Evaluate the function at the given values of the Independent variable. Simplify the results. g(x) =…

A:

Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

A: This question is related to Laplace transform, we will solve it using given information.

Q: Solve the given initial value problem. y" - 4y' + 3y = 0; y(0) = -1, The solution is y(t) = y'(0) =…

A:

Q: Find all values for which the function discontinuous. X-1 if X41 o if 18x44 X-2 if X>4 f(x);

A:

Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).

A:

Q: Suppose that $600 are deposited at the beginning of each quarter for 10 years into an account that…

A:

Q: Given that log a ( 2 ) = m and log a ( 3 ) = n , write exact expressions in terms of m and/or n for…

A: Write expression in terms of m and n for each of the following.

Q: The length of a rectangle is three times its width. If the area of the rectangle is 108 yd², find…

A:

Q: Use sigma notation to write the sum. 4 4 1 + 2 1 + 3 4 1 + 1 + + + ... + 4 1 + 19

A:

Q: unction. Consider the function f, defined by: -1, f(x) = 2 500 0, 1, 2, Determine the exact value of…

A:

Q: Write an equation for the function graphed below 13- 12- 1 - 5+ ++ -7 -6 -5 -4 -3 -2 -2 1-1 HE A 1 2…

A:

Q: Write an equation for the function graphed below 4 y = 3+ 2+ 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3- -4 -5+…

A: topic- equation of a function

Q: Given that the graph of f(x) passes through the point (4, 2) and that the slope of its tangent line…

A: Recall: The slope of the tangent line to the curve f(x) is f'(x).

Q: a. b. algal dy dx dy dx + y = xy³ - y = ex y² -X

A: See this solution in below.

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

A:

Q: Use long division to find the slant asymptote f(x)=2x2+7/x

A:

Q: t Let f(x) = 4x4 + 6. (a) Use the limit process to find the slope of the line tangent to the graph…

A: NOTE: Refresh your page if you can't see any equations. . the given value is x=4 the point on…

Q: Using the circular disk method, find the volume of the solid generated by revolving about the…

A: Given curves , y=x ,                   (1)x=4.                       (2)

Q: Answer without referring back to the text. Fill in the blank. The only solution of the initial-value…

A: