-10 -9 8 -6 -5 -4 -3 -2 5 3- 2 1 -1 0 -1 -2 -3 + -4 -5 1 2 3 6 4 20

Q: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

A:

Q: Find dy dr dy dr for y = ㅇ 2 5+ 6t dt.

A:

Q: How did you found x and dx? I 'm lost in that part

A:

Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $5149 and 70 golf clubs per…

A:

Q: Determine X(S) expressed as a rational polynomial with simplified numerator and factored denominator…

A: According to question,Given Data,xt = t2 + 2e-2t + sin 3t ut

Q: The range of the function f(x, y) [1/3, +00[ This option None of these This option ]- 00, 1/3]…

A: Here, the given function is: f(x,y)=13+x2+y2

Q: A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t…

A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

Q: Both rectangular form and polar form are used to represent the same complex numbers. Explain, using…

A: I have to explain why we are using different coordinate system.

Q: 2. Evaluate J dx (cos³x sin³x)

A:

Q: Find the area of the shaded region shown in the graph. The area of the shaded region is (Type an…

A:

Q: Given: f(x) = 02 01/201 O 3 4x + 1 if a . I→(1/2)*

A:

Q: Given that f(x) x = -1 WA = X x + 1 and f'(x) = 1 (x+1)²' determine the critical numbe

A: Given: f(x)=xx+1f'(x)=1x+12To find the critical point of the function  Note: Critical point of a…

Q: A rotating light is located 20 feet from a wall. The light completes one rotation every 3 seconds.…

A:

Q: 2. Solve the following 4th order linear differential equations using undetermined coefficients: y…

A: We need to solve D.E.

Q: ate ſ- dx 4x²+1

A:

Q: Evaluate fcot (x) cos²x dx

A: The given integral: ∫cotxcos2x dx.We need to evaluate the above integral.

Q: A B O A OB D 1 4 1 4 f sec² (4t) (3 tan(4t))³ dt 1 16 (3 tan (4t))+ + C (3 - tan (4t))+ + C E None…

A: This question can be solved using the concept of integration by substitution.

Q: integral of sin^6 y cos^6 y dy

A:

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given problem:-

Q: A police car is located 40 feet to the side of a straight road. A red car is driving along the road…

A:

Q: If x = f(u) and v= g(x), what is du dr dx du ○ f'(u)g'(x) ○ f'(u) + g(x) O dv dx + dx du dv du by…

A:

Q: 3 +∞ √√√n4 - 2 4n³ + 5 n=2

A:

Q: 8. The graph of the equation |2z - i| = 4 is most likely: A. C. B. 36 E. none of the above D. iy

A: Compare with the general equation of circle in complex form

Q: What is the instantaneous rate of change at x = 2 of the function f given by 2x f(x) O O 4 -2 H N -…

A: What is instantaneous rate of change at x=2 of the function f given by   f(x)= 2x/x-1

Q: Wendy took a trip from one city to another, a distance of 480 mi. She traveled part of the way by…

A: We have to find how long did Wendy spend on the train.

Q: A B - f sin(1-x) (2 cos(1-x))4 dx (2-sin(1-x)5+C 5 (2-cos(1-x)5+C 5 O A OB O O D OE None of the…

A:

Q: y'' + 8y' + 32y = 0, y(0) = 4, y'(0) = -24 y(t) = The behavior of the solutions are: O Oscillating…

A:

Q: Find an integrating factor and solve the equation 4x y' = e¹x + 8y - 1.

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

Q: 1. Evaluate x57x¹+192³-10r² - 19r+18 x45x³ +9x² 12²- da.

A:

Q: 1. Let f(x, y) = y³ + x³ - 2/1y²-3x+30y. (a) Find all the critical points of f. (b) Determine…

A:

Q: = f(1) dt, where f is the function whose graph is shown below. What is the value of g′ (-2)? Let…

A:

Q: tify the intervals where f is increasing, decreasing, concav ard and concave downward. Identify all…

A:

Q: olve the given differential equation. All solutions should be found. dy x - 2y dx X

A:

Q: x-1 lim x+2+ x - 2 does not exist O +∞ 01 O -∞

A:

Q: Solve: x²y + 4xy' + 2y = 0 Indicial roots: r₁= General Solution: y = C₁ a.x-1 b. x3 c. xinx d. e3x…

A:

Q: Find the general solution of the following differential equation. 121y" - 4y = 0 NOTE: Use c₁ and co…

A: To find general solution.

Q: Use partial fractions to find the indefinite integral. (Use C for the constant of integration.…

A:

Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

A: Let's solve.

Q: = √ Evaluate 1 /x(1 + √x)² dx.

A:

Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: we can find the particular solution.

Q: Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that…

A: This question can be solved using the concept of time and work.

Q: In the figure, the equation of the solid parabola is y=x² - 7 and the equation of the dashed line is…

A:

Q: A car sharing service offers a membership plan with a $40 per month fee that includes 10 hours of…

A:

Q: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x>Infity Lim f(x) = 2 or…

Q: Find the indefinite integral using any method. (Use C for the constant of integration.) [(sin(0) +…

A: We have to find integration in this question.

Q: Determine whether the series DIVERGES.) 6-77 14" 00 Σ n=1 n=1 6-77 14" 123 Tutorial converges or…

A: Let's find series diverges or converges.

Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

Q: Find the radius of convergence, R, of the series. Σ n = 1 R = | 1 Ο μ 2 5 8.. · (3η – 1) Κ Find the…

A: The solution is given below