The arc length of a given function is determined by √1+f'(2) dz Find the length of f(x)= (2/3) (x-1)/² between x-9 and x-36. The working integral equation will be the f(x) is equal to The final answer is Choose.... Choose... Choose... ÷ : +

Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

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: You go to the doctor and he gives you 16 milligrams of radioactive dye. After 20 minutes, 7.5…

A: We will solve this problem.

Q: x = est, y = to (a) Find dw/dt by using the appropriate Chain Rule. dw dt W = X- (b) Find dw/dt by…

A:

Q: Write an equation for the function f(x) shown. The leading coefficient is 1.  Asymptotes: y=-1 x=…

A:

Q: ms ion Co. % 5 9. (x²-2x)y" + 2y = 0; 10. x²y" - xy' + 2y = 0 ; 11. x²y" - y' + y = 0 ; Xxo 12. y" +…

A:

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 3- W…

A:

Q: Find the extreme values of the function and where they occur. 7x X + 1 y= 2 OA. The minimum value is…

A:

Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

A:

Q: Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the…

A:

Q: 1 For the parametric curve * = find an equation for the tangent line to the curve at the point…

A: To find equation of tangent line:

Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

Q: Find the area between the curves. 1/5 6/5 y=x, y = 4x ... The area between the curves is (Do not…

A:

Q: 5. An object has a constant acceleration of 10 ft/sec², an initial velocity of -20 ft/sec, and an…

A:

Q: Use the Laws of logarithms to rewrite the expression 3 (212. √/y13 in a form with no logarithm of a…

A:

Q: Module A car dealership increased the price of a certain car by 4%. The original price was $44,400.…

A: As per given question  We have to determine new price of car

Q: h(x) = { 3-2 -2 if x≤-1 Cx² + 4x if x>-1

A:

Q: Explain why x ≤- 2, 0 ≤ x ≤ 5 could not be the solution to (x-5)(x+2) ≤ 0.

A: This question is based on solution of inequality.

Q: 106) Iff"(x) and (c,f(c)) is the point lying on the curve for which F(c) is maximum, then f'(c) is…

A: If f''x<0 ∀ x∈a,b and c is a point such that a<c<b, and c,fc is the point lying on the…

Q: 2 Solve the following ODES by Inverse Operator method. (D²³+1) y = 3+²+52x Ans: y = c₁e²+ ¹² (C₂…

A:

Q: The number of traffic accidents per year in a city of population p is predicted to be T 0.002p ³/2.…

A:

Q: 4. (x²-5x+6)y" - 3xy' - y = 0; Xo = 0

A:

Q: Identify any holes in the graph off(x)= x=-=/ b. x=- x=-- a. 17 X+7 7x +49 C. x=7 d. x=-7

A:

Q: Find the sum of the areas of the shaded rectangles under the graph. Round to two decimal places.…

A: topic- Area of shaded region Area of rectangle =Length*width

Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

Q: Ga. Draw a direction field for the given differential equation How do solutions appear to behave as…

A:

Q: 1. 9x2 + 4y2 = 36 2.222² 쫑 = 1

A:

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

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

A:

Q: Use the maximum magnitude of the remainder term to find the maximum error in the following…

A:

Q: Evaluate the function for the given value of x. r(x)=3x, p(x)=x2+6x,(p-r)(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: For what value of the constant c is the function ƒ continuous on (-∞, ∞)? cx² + 2x if x 2.

A: We know :- Limit definition at x=a  ⇒limx→a-f(x) =limx→a+f(x)  if function continous at x=a then…

Q: 8. Calculate the following limits. In z lim → 2²-1 (b) [ 1³-1³ 0 e + cos2-1-2 lim

A:

Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x>0x2-1if x≤0

Q: pls

A:

Q: 6) Identify the vertical and horizontal asymptotes of (x)= x-4 - 2x+17 b. vertical-x- 4, horizontal:…

A:

Q: 10. 2ste tds +(s²e-t - t)dt = 0

A:

Q: 12 0 6 <<← ?° Q

A:

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

A: Given y''+y=csc(x) Complementary solution: We will solve this equation by variation of parameters…

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

A:

Q: Find the general equation of the plane that contains the point (2, 0, 3) and the line x =−1+t, y =…

A:

Q: 8.6 EXERCISES In Problems 1-10, classify each singular point (real or complex) of the given equation…

A:

Q: Simplify to an expression involving a single trigonometric function with no fractions. cos(-x)…

A:

Q: Find f if f"(x)= e-sin z - 3 4√ f'(0) = 0, and f(0) = 8.

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z =…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that…

A: